Attachment 'Curves_1000-2000_FOUND_8-8-11_no_aps.txt'

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   1 1024 32 [0,0,0,-162*a-135,1026*a+702] 
   2 1025 -5*a + 35 [a,0,a+1,1,-6*a-3] 
   3 1025 5*a - 35 [a,a,a+1,-46*a-31,-222*a-136] 
   4 1025 5*a - 35 [1,a+1,a,4*a-3,2*a-6] 
   5 1025 -5*a + 35 [a,a+1,a+1,24*a-38,68*a-113] 
   6 1025 5*a - 35 [a+1,0,0,42*a-124,-412*a+463] 
   7 1031 -29*a + 10 [0,a+1,a,25857*a-41835,2396223*a-3877170] 
   8 1039 29*a - 11 [1,a,1,8*a-21,14*a-38] 
   9 1044 -6*a + 36 [a+1,a+1,1,-7*a+3,-17*a-8] 
  10 1044 -6*a + 36 [a,-a+1,1,-12*a-5,-22*a-12] 
  11 1044 -6*a + 36 [1,a-1,a,-6*a-3,-9*a-6] 
  12 1045 -29*a + 17 [1,1,a+1,-24*a-18,59*a+41] 
  13 1045 -29*a + 17 [a+1,a+1,0,-7*a+6,-5*a+5] 
  14 1045 -29*a + 17 [0,-a-1,a,-136*a-87,1061*a+646] 
  15 1055 -a + 33 [a,-a,a,-a+1,-34*a-34] 
  16 1084 2*a - 34 [a,-a,0,22*a-47,-93*a+134] 
  17 1084 2*a - 34 [1,a,a+1,493*a-804,-6419*a+10375] 
  18 1089 -30*a + 21 [1,1,a+1,-4*a+6,3*a+5] 
  19 1089 33 [1,1,0,-6,-9] 
  20 1089 30*a - 21 [0,-1,a+1,163*a-263,1142*a-1847] 
  21 1100 -30*a + 10 [a+1,-a+1,0,6*a-10,12*a-22] 
  22 1100 -30*a + 10 [a,-a-1,a,11*a+3,-16*a-14] 
  23 1100 -30*a + 10 [1,-a+1,a,84*a-138,-400*a+653] 
  24 1100 -30*a + 10 [a+1,-a+1,1,45*a-49,-89*a+152] 
  25 1100 30*a - 10 [1,-a,1,316*a-534,3501*a-5624] 
  26 1111 3*a - 35 [a,-a,1,89*a-144,-464*a+750] 
  27 1116 30*a - 18 [1,-a-1,0,109*a-186,-703*a+1129] 
  28 1116 30*a - 18 [1,a-1,0,-534*a-340,7044*a+4340] 
  29 1156 34 [a+1,-a-1,1,-4*a-4,-5*a-4] 
  30 1189 a - 35 [0,1,a,45*a-74,192*a-313] 
  31 1195 31*a - 13 [a,0,1,-6*a+3,-2*a-4] 
  32 1201 -31*a + 16 [a,a,a+1,47*a-80,-208*a+330] 
  33 1216 32*a - 8 [0,0,0,-15093000*a-9327987,-48472894584*a-29957896386] 
  34 1216 -32*a + 8 [0,0,0,81*a-135,432*a-3618] 
  35 1220 -2*a + 36 [a,a-1,a,-22*a,64] 
  36 1220 2*a - 36 [1,-a-1,0,53*a-82,209*a-339] 
  37 1225 35 [0,-a+1,1,-7*a-6,-11*a-10] 
  38 1255 -32*a + 11 [0,0,1,-2*a-7,-3*a-8] 
  39 1255 -32*a + 11 [0,-a-1,1,-10,2*a-10] 
  40 1255 -32*a + 11 [0,0,1,310*a-517,-3255*a+5255] 
  41 1271 -32*a + 13 [0,a-1,a,30*a-49,-114*a+184] 
  42 1280 32*a - 16 [0,0,0,-2*a-2,-2*a-1] 
  43 1280 32*a - 16 [0,a+1,0,a+1,0] 
  44 1291 2*a + 35 [a+1,-1,0,-66*a-45,304*a+193] 
  45 1296 36 [0,0,0,-24*a-24,76*a+57] 
  46 1321 3*a - 38 [0,a,a,7*a-9,7*a-12] 
  47 1324 6*a - 40 [1,-1,a+1,371*a-606,4063*a-6572] 
  48 1331 33*a - 11 [a+1,-a,0,10*a+16,17*a-43] 
  49 1331 -33*a + 11 [0,0,0,-4122575271*a-2547891639,-152431815268008*a-94208042802474] 
  50 1331 -33*a + 11 [0,0,0,-4178304*a-2584656,8907081408*a+5504801040] 
  51 1331 33*a - 11 [0,0,0,-15984*a+16416,-1670976*a-1998000] 
  52 1364 8*a + 34 [a+1,a,0,-2*a-12,-20*a-24] 
  53 1364 -2*a + 38 [a+1,1,1,-16*a-18,-71*a-43] 
  54 1364 2*a - 38 [a+1,a-1,a,-5*a-5,4*a+1] 
  55 1364 -2*a + 38 [1,a,a,-14*a-3,12*a+15] 
  56 1369 37 [0,1,1,-3,1] 
  57 1395 3*a - 39 [a,a-1,1,5*a-9,5*a-9] 
  58 1396 -34*a + 10 [1,1,a+1,-3*a-24,-9*a-56] 
  59 1420 34*a - 12 [a,a,0,-2*a+5,27*a-50] 
  60 1420 34*a - 12 [a+1,-1,a,a-4,5*a] 
  61 1420 -34*a + 12 [a,-a,a,-85*a-41,420*a+289] 
  62 1420 -34*a + 12 [1,0,0,2*a-72,-206*a+108] 
  63 1439 2*a + 37 [1,-a,a,-18*a-9,-33*a-20] 
  64 1444 38 [1,0,1,-16,22] 
  65 1444 -34*a + 18 [1,-a+1,1,5*a-3,11*a-10] 
  66 1444 -34*a + 18 [0,0,0,9602847*a+5935410,132656163912*a+81986019750] 
  67 1444 -34*a + 18 [0,0,0,30987792*a+19151181,-172467944496*a-106591055922] 
  68 1444 -34*a + 18 [0,0,0,-617679*a-380511,-1185045768*a-732367170] 
  69 1445 34*a - 17 [1,1,0,-8,-13] 
  70 1471 3*a + 37 [a+1,a-1,0,350*a-565,3581*a-5794] 
  71 1471 3*a + 37 [a+1,-a+1,a,22*a-41,83*a-139] 
  72 1476 -6*a + 42 [1,-a,0,-a,-7*a-3] 
  73 1516 -2*a + 40 [a+1,-a-1,0,5*a-5,4*a-11] 
  74 1519 -35*a + 21 [a,-1,a,-7*a-5,-7*a-3] 
  75 1520 -8*a - 36 [0,-a,0,3*a-9,10*a-10] 
  76 1521 39 [0,a-1,1,-a,-5*a-4] 
  77 1529 -35*a + 16 [1,0,0,11*a-28,-37*a+54] 
  78 1539 36*a - 9 [0,0,0,-648*a-411,50600*a+31238] 
  79 1549 3*a - 41 [1,a,a+1,50*a-82,-213*a+343] 
  80 1555 6*a + 37 [0,-a-1,a,-6*a-7,23*a+13] 
  81 1556 -36*a + 26 [a,a+1,a,14*a-20,28*a-46] 
  82 1571 -36*a + 25 [1,-a,a,12*a-23,33*a-55] 
  83 1580 4*a + 38 [a,1,a,-6*a+2,-11*a+12] 
  84 1580 4*a + 38 [a,a+1,1,-3*a-18,23] 
  85 1580 4*a + 38 [a+1,a-1,a,-17*a-26,66*a+1] 
  86 1580 4*a + 38 [a+1,-a,1,-23*a+1,34*a+23] 
  87 1584 -36*a + 12 [0,a,0,5*a-12,-14*a+16] 
  88 1595 2*a + 39 [a,a+1,a,-8*a-1,6*a-2] 
  89 1595 2*a + 39 [1,a,1,-8*a-9,10*a+11] 
  90 1595 2*a + 39 [1,-a-1,a+1,8*a-23,15*a-8] 
  91 1595 -36*a + 23 [a,1,a+1,-2*a-5,3*a-3] 
  92 1595 2*a + 39 [a,0,a,29*a-44,-82*a+133] 
  93 1595 2*a + 39 [a+1,a-1,a,-10*a-6,-23*a-19] 
  94 1600 40 [0,0,0,61155*a-99090,8699400*a-14076450] 
  95 1600 40 [0,0,0,13689*a-22167,923832*a-1494666] 
  96 1600 40 [0,0,0,-15795*a-9855,-1108620*a-684990] 
  97 1600 40 [0,0,0,179280*a-290115,-43750800*a+70789950] 
  98 1600 40 [0,0,0,25*a+25,200*a+150] 
  99 1600 40 [0,0,0,-35*a-35,120*a+90] 
 100 1600 40 [0,0,0,5,-10] 
 101 1604 -36*a + 22 [a,-a-1,0,-a-8,-7] 
 102 1604 -36*a + 22 [a,1,a+1,5*a-19,-13*a+25] 
 103 1604 -36*a + 22 [1,-1,0,65*a-104,-315*a+509] 
 104 1620 36*a - 18 [1,-1,1,-167,-709] 
 105 1636 6*a + 38 [1,0,0,-53*a-33,219*a+134] 
 106 1636 6*a + 38 [a+1,0,0,-8*a-2,-12*a-12] 
 107 1636 6*a + 38 [a,0,a+1,-34*a-20,101*a+60] 
 108 1639 37*a - 27 [0,1,a,2*a-5,-2*a+3] 
 109 1655 -37*a + 26 [1,-1,a+1,-390*a-267,4744*a+2885] 
 110 1661 4*a - 43 [1,0,a,-3*a-13,5*a+17] 
 111 1676 2*a - 42 [a+1,-a,a+1,-17*a-12,-20*a-70] 
 112 1676 -2*a + 42 [1,a+1,a+1,18*a-36,-51*a+83] 
 113 1681 41 [1,a-1,a,150*a-246,-1147*a+1855] 
 114 1681 41 [0,0,0,-56160*a-34128,-7880112*a-4859568] 
 115 1681 37*a - 24 [0,0,0,-200880*a-124848,-56379888*a-34890480] 
 116 1681 37*a - 24 [0,0,0,3261951*a-5278230,-1572956496*a+2545183998] 
 117 1705 -37*a + 16 [a+1,1,a+1,19*a-33,58*a-96] 
 118 1705 -37*a + 16 [1,a,1,-6*a+1,34*a-9] 
 119 1705 9*a - 47 [a,a+1,a,-30*a-30,93*a+42] 
 120 1719 6*a + 39 [a,1,a,-a+1,2*a-5] 
 121 1724 -38*a + 10 [a+1,-a+1,a,19*a-12,-8*a+29] 
 122 1724 -38*a + 10 [a+1,-a+1,0,144*a-232,1088*a-1728] 
 123 1764 42 [1,0,a+1,4*a-16,9*a-26] 
 124 1764 42 [a+1,-a-1,0,-16*a-16,0] 
 125 1764 42 [0,0,0,-18279*a-18279,-13766328*a-10324746] 
 126 1775 -5*a + 45 [0,0,0,-55*a+65,-250] 
 127 1791 9*a + 39 [1,-a-1,1,31*a-48,92*a-150] 
 128 1795 3*a - 44 [a,-a+1,a+1,-3*a-7,8*a-3] 
 129 1804 6*a - 46 [a+1,0,1,-5*a+1,-2*a-4] 
 130 1804 -38*a + 20 [a+1,-a+1,1,-4*a+6,-5*a+10] 
 131 1805 38*a - 19 [a+1,-1,1,-36,-79*a+46] 
 132 1805 -a + 43 [a+1,-a+1,a+1,-62*a-86,-411*a-311] 
 133 1829 4*a + 41 [a+1,-a,a,-28*a-20,-89*a-52] 
 134 1831 -7*a - 40 [0,a,1,3*a-2,-a+3] 
 135 1831 7*a + 40 [a+1,-a-1,a+1,271*a-442,2558*a-4140] 
 136 1856 -8*a + 48 [0,0,0,729*a-1431,2484*a+4590] 
 137 1871 39*a - 14 [0,-1,a+1,3*a-7,-6*a+10] 
 138 1879 -9*a + 49 [0,a+1,1,97*a-155,555*a-898] 
 139 1881 39*a - 24 [0,-1,a+1,-10*a-4,16*a+15] 
 140 1900 40*a - 10 [1,a,a+1,-9,-11*a-17] 
 141 1900 -40*a + 10 [a,-1,a+1,-6*a+2,-2*a-3] 
 142 1900 -40*a + 10 [a,0,a+1,1,-13*a+18] 
 143 1900 -40*a + 10 [1,a+1,0,2*a-3,-4*a-7] 
 144 1916 4*a + 42 [a+1,1,a,35*a-57,133*a-216] 
 145 1936 -40*a + 28 [0,-1,0,-41*a+25,19*a-107] 
 146 1951 -40*a + 27 [a+1,a-1,a+1,86*a-141,422*a-684] 
 147 1964 -40*a + 14 [a+1,a-1,0,-a-5,-28*a+25] 
 148 1969 -9*a - 41 [a,0,a,3*a-14,-15*a+14] 
 149 1975 -40*a + 15 [a,1,0,2*a-8,4*a-13] 
 150 1975 40*a - 15 [a+1,-a-1,0,-15*a-25,55*a+60] 
 151 1980 -6*a + 48 [a+1,0,0,-28*a-17,71*a+43] 
 152 1996 -40*a + 18 [a+1,a+1,0,2*a-4,-4*a-8]

Attached Files

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  • [get | view] (2011-08-11 00:38:50, 71.7 KB) [[attachment:Completed.txt]]
  • [get | view] (2011-08-03 07:24:32, 4.0 KB) [[attachment:CurrentUnfound_49curves.txt]]
  • [get | view] (2011-08-12 22:35:44, 168.6 KB) [[attachment:Curves2k]]
  • [get | view] (2011-08-05 07:32:49, 17.7 KB) [[attachment:Curves_1000-2000_FOUND_8-5-11.txt]]
  • [get | view] (2011-08-08 17:37:05, 6.4 KB) [[attachment:Curves_1000-2000_FOUND_8-8-11_no_aps.txt]]
  • [get | view] (2011-08-05 07:00:45, 17.7 KB) [[attachment:Curves_1000-2000_FOUND_copy_ordered.txt]]
  • [get | view] (2011-08-05 07:33:03, 1.7 KB) [[attachment:Curves_1000-2000_MISSING_8-5-11.txt]]
  • [get | view] (2011-08-02 00:29:09, 12.5 KB) [[attachment:Curves_1000-2000_modjon.txt]]
  • [get | view] (2011-08-10 18:17:25, 19.1 KB) [[attachment:Curves_2000_Found_8-10-11.txt]]
  • [get | view] (2011-08-10 18:14:02, 19.1 KB) [[attachment:Curves_FOUND_8-10-11]]
  • [get | view] (2011-08-09 20:23:25, 18.0 KB) [[attachment:Curves_FOUND_8-9-11.txt]]
  • [get | view] (2011-08-10 18:14:35, 0.7 KB) [[attachment:Curves_MISSING_8-10-11]]
  • [get | view] (2011-08-09 20:22:47, 1.4 KB) [[attachment:Curves_MISSING_8-9-11.txt]]
  • [get | view] (2011-08-10 18:20:46, 0.7 KB) [[attachment:Curves_Missing_8-11-10.txt]]
  • [get | view] (2011-07-23 07:24:41, 146.8 KB) [[attachment:FindingCurvesAPs_updated.pdf]]
  • [get | view] (2011-06-22 22:43:03, 1329.1 KB) [[attachment:InitialCurveData.txt]]
  • [get | view] (2011-06-24 17:06:35, 248.0 KB) [[attachment:IsogenyTable2.txt]]
  • [get | view] (2011-06-24 21:12:40, 232.0 KB) [[attachment:IsogenyTable4.txt]]
  • [get | view] (2011-06-25 07:48:09, 460.0 KB) [[attachment:IsogenyTable7.txt]]
  • [get | view] (2011-08-09 17:13:45, 70.3 KB) [[attachment:List]]
  • [get | view] (2011-07-28 21:32:05, 4.3 KB) [[attachment:MJFound_1.txt]]
  • [get | view] (2011-08-08 23:55:49, 1.7 KB) [[attachment:Missing_aps_corrected.txt]]
  • [get | view] (2011-06-29 19:46:43, 643.0 KB) [[attachment:Paired_Table.txt]]
  • [get | view] (2011-06-22 23:17:30, 154.0 KB) [[attachment:Prime_Isogenies_Over_Number_Fields.pdf]]
  • [get | view] (2011-07-18 21:16:27, 151.0 KB) [[attachment:TorsionFamilies.pdf]]
  • [get | view] (2011-07-28 19:45:05, 3.4 KB) [[attachment:Unmatched.txt]]
  • [get | view] (2011-07-30 00:07:35, 13.9 KB) [[attachment:Unmatched2k.txt]]
  • [get | view] (2011-08-09 17:51:01, 102.2 KB) [[attachment:isogeny_bound_computations.txt]]
  • [get | view] (2011-06-24 14:41:47, 5047.9 KB) [[attachment:isogeny_degrees.txt]]
  • [get | view] (2011-06-29 23:21:56, 252.3 KB) [[attachment:isogeny_partial_output.txt]]
  • [get | view] (2011-06-24 18:28:34, 938.2 KB) [[attachment:matched.txt]]
  • [get | view] (2011-07-28 21:30:56, 4.3 KB) [[attachment:mjfound_1.txt]]
  • [get | view] (2011-06-23 23:16:42, 1329.1 KB) [[attachment:modifiedellipticcurvedatafile.txt]]
  • [get | view] (2011-07-02 01:03:20, 1320.0 KB) [[attachment:modifiedellipticcurvedatafile2.txt]]
  • [get | view] (2011-07-01 23:11:47, 230.5 KB) [[attachment:modifiedjinv2.txt]]
  • [get | view] (2011-07-02 00:30:36, 170.3 KB) [[attachment:modifiedjinv3.txt]]
  • [get | view] (2011-07-23 01:28:28, 0.3 KB) [[attachment:new_curves_found_via_modjon.txt]]
  • [get | view] (2011-07-26 20:59:44, 0.6 KB) [[attachment:new_curves_found_via_modjon_version2.txt]]
  • [get | view] (2011-07-04 05:06:33, 1.7 KB) [[attachment:new_curves_via_twist.txt]]
  • [get | view] (2011-06-21 23:32:44, 80.3 KB) [[attachment:ohana1.pdf]]
  • [get | view] (2011-07-07 22:02:03, 34.4 KB) [[attachment:unfound_curves.txt]]
  • [get | view] (2011-06-30 18:23:32, 819.6 KB) [[attachment:updated_list.txt]]
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