Cremona's table of elliptic curves

52290 = 2 · 3² · 5 · 7 · 83

Class	r	Atkin-Lehner	Eigenvalues
52290a (2 curves)	1	2+ 3+ 5+ 7+ 83+	2+ 3+ 5+ 7+  4  4  0  4
Curve Equation t Generators 52290a1 [1,-1,0,-75,-175] 2 [-5:10:1] 52290a2 [1,-1,0,-1125,-14245] 2 [-19:10:1]
52290b (2 curves)	1	2+ 3+ 5+ 7+ 83+	2+ 3+ 5+ 7+ -6  6  6  0
Curve Equation t Generators 52290b1 [1,-1,0,-7845,268821] 2 [45:51:1] 52290b2 [1,-1,0,-125445,17132661] 2 [205:-96:1]
52290c (2 curves)	0	2+ 3+ 5+ 7- 83+	2+ 3+ 5+ 7-  2 -2 -2  4
Curve Equation t 52290c1 [1,-1,0,-1036455,389987325] 2 52290c2 [1,-1,0,-16396455,25558883325] 2
52290d (4 curves)	1	2+ 3+ 5+ 7- 83-	2+ 3+ 5+ 7- -6 -4 -6  2
Curve Equation t Generators 52290d1 [1,-1,0,-893445,325273221] 6 [573:816:1] 52290d2 [1,-1,0,-893865,324952425] 6 [15555:18560:27] 52290d3 [1,-1,0,-927060,299502800] 2 [1160:-28580:1] 52290d4 [1,-1,0,-3890580,-2652755824] 2 [-863:8275:1]
52290e (2 curves)	2	2+ 3+ 5- 7+ 83+	2+ 3+ 5- 7+  2 -6 -6  0
Curve Equation t Generators 52290e1 [1,-1,0,-6504,-173972] 2 [167:-1921:1]&[-58:104:1] 52290e2 [1,-1,0,-100254,-12192722] 2 [-183:104:1]&[377:1679:1]
52290f (2 curves)	2	2+ 3+ 5- 7+ 83+	2+ 3+ 5- 7+ -6 -2  2 -8
Curve Equation t Generators 52290f1 [1,-1,0,-294,1908] 2 [444:-1202:27]&[-12:66:1] 52290f2 [1,-1,0,-894,-7812] 2 [-17:56:1]&[-11:30:1]
52290g (2 curves)	1	2+ 3+ 5- 7- 83+	2+ 3+ 5- 7-  0  0 -8 -6
Curve Equation t Generators 52290g1 [1,-1,0,-204,-740] 2 [26:-118:1] 52290g2 [1,-1,0,546,-5390] 2 [21:-133:1]
52290h (4 curves)	1	2+ 3+ 5- 7- 83+	2+ 3+ 5- 7-  0 -4  0  2
Curve Equation t Generators 52290h1 [1,-1,0,-485304,86128128] 6 [-653:11474:1] 52290h2 [1,-1,0,1389696,589003128] 6 [97286:-10828643:8] 52290h3 [1,-1,0,-15644679,-23809303747] 2 [-492798:-204961:216] 52290h4 [1,-1,0,-13916679,-29272894147] 2 [5904525354:-625984087477:474552]
52290i (2 curves)	1	2+ 3+ 5- 7- 83+	2+ 3+ 5- 7-  2  4 -2  4
Curve Equation t Generators 52290i1 [1,-1,0,51,-6507] 2 [22:59:1] 52290i2 [1,-1,0,-4929,-129015] 2 [-44:57:1]
52290j (2 curves)	1	2+ 3+ 5- 7- 83+	2+ 3+ 5- 7-  4  0 -4  6
Curve Equation t Generators 52290j1 [1,-1,0,-158739,24382645] 2 [-154:6797:1] 52290j2 [1,-1,0,-156819,24999733] 2 [197:-1411:1]
52290k (2 curves)	1	2+ 3+ 5- 7- 83+	2+ 3+ 5- 7- -6  0 -2  6
Curve Equation t Generators 52290k1 [1,-1,0,-843311274,9426143601268] 2 [16644:-33410:1] 52290k2 [1,-1,0,-13492931754,603267636883060] 2 [66596:-243298:1]
52290l (2 curves)	2	2+ 3- 5+ 7+ 83+	2+ 3- 5+ 7+  0 -4 -2 -6
Curve Equation t Generators 52290l1 [1,-1,0,-370035,-60437259] 2 [-474:3117:1]&[-447:4161:1] 52290l2 [1,-1,0,-5410035,-4841381259] 2 [-1349:1367:1]&[-1343:1473:1]
52290m (2 curves)	0	2+ 3- 5+ 7+ 83+	2+ 3- 5+ 7+  2  2  0 -6
Curve Equation t 52290m1 [1,-1,0,-6431850,-1476860364] 2 52290m2 [1,-1,0,-61556850,184702314636] 2
52290n (2 curves)	0	2+ 3- 5+ 7+ 83+	2+ 3- 5+ 7+ -2 -2  4 -2
Curve Equation t 52290n1 [1,-1,0,-345150,-76813164] 2 52290n2 [1,-1,0,-697950,107136756] 2
52290o (1 curve)	0	2+ 3- 5+ 7+ 83+	2+ 3- 5+ 7+ -3 -3  6  0
Curve Equation t 52290o1 [1,-1,0,-630,-102924] 1
52290p (1 curve)	0	2+ 3- 5+ 7+ 83+	2+ 3- 5+ 7+  5 -1 -6  0
Curve Equation t 52290p1 [1,-1,0,19305,-1201635] 1
52290q (4 curves)	1	2+ 3- 5+ 7+ 83-	2+ 3- 5+ 7+  0  6 -6 -8
Curve Equation t Generators 52290q1 [1,-1,0,-1009170,-389954300] 2 [1448:33674:1] 52290q2 [1,-1,0,-1013670,-386297600] 4 [3182231:73964753:2197] 52290q3 [1,-1,0,-5220,-1121054270] 2 [149787138813:3951448099429:111284641] 52290q4 [1,-1,0,-2094120,582433870] 2 [1343:13148:1]
52290r (2 curves)	1	2+ 3- 5+ 7+ 83-	2+ 3- 5+ 7+  2  2  0  8
Curve Equation t Generators 52290r1 [1,-1,0,-1125,-14175] 2 [-20:15:1] 52290r2 [1,-1,0,-495,-30429] 2 [43:141:1]
52290s (1 curve)	1	2+ 3- 5+ 7+ 83-	2+ 3- 5+ 7+  5 -4  4  7
Curve Equation t Generators 52290s1 [1,-1,0,-15355845,24747169621] 1 [1252933:139763971:1331]
52290t (1 curve)	1	2+ 3- 5+ 7+ 83-	2+ 3- 5+ 7+  6  0 -3  4
Curve Equation t Generators 52290t1 [1,-1,0,2610,-32684] 1 [12:10:1]
52290u (2 curves)	1	2+ 3- 5+ 7- 83+	2+ 3- 5+ 7-  2  4  4 -4
Curve Equation t Generators 52290u1 [1,-1,0,-859230,32185876] 2 [1433:41021:1] 52290u2 [1,-1,0,-8923230,-10213932524] 2 [4505:200234:1]
52290v (2 curves)	1	2+ 3- 5+ 7- 83+	2+ 3- 5+ 7- -4  4 -2  4
Curve Equation t Generators 52290v1 [1,-1,0,-13455,603801] 2 [60:69:1] 52290v2 [1,-1,0,-11025,826875] 2 [-69:1155:1]
52290w (1 curve)	1	2+ 3- 5+ 7- 83+	2+ 3- 5+ 7-  5  0 -4  5
Curve Equation t Generators 52290w1 [1,-1,0,1980,14800] 1 [5:155:1]
52290x (1 curve)	1	2+ 3- 5+ 7- 83+	2+ 3- 5+ 7-  5  3  0  2
Curve Equation t Generators 52290x1 [1,-1,0,-162540,-25617200] 1 [1253:41048:1]
52290y (4 curves)	2	2+ 3- 5+ 7- 83-	2+ 3- 5+ 7-  0 -2 -6 -4
Curve Equation t Generators 52290y1 [1,-1,0,-1755,-19499] 2 [50:101:1]&[-27:101:1] 52290y2 [1,-1,0,-10575,405625] 4 [-100:725:1]&[-22:803:1] 52290y3 [1,-1,0,5175,1498675] 2 [-79:809:1]&[-37:1139:1] 52290y4 [1,-1,0,-167445,26414671] 2 [237:-107:1]&[257:425:1]
52290z (2 curves)	0	2+ 3- 5+ 7- 83-	2+ 3- 5+ 7-  0 -4 -2 -2
Curve Equation t 52290z1 [1,-1,0,-10570995,-13082596875] 2 52290z2 [1,-1,0,-168625395,-842773364235] 2
52290ba (4 curves)	0	2+ 3- 5+ 7- 83-	2+ 3- 5+ 7-  0 -4  6  2
Curve Equation t 52290ba1 [1,-1,0,-21420,-1121904] 2 52290ba2 [1,-1,0,-336420,-75020904] 2 52290ba3 [1,-1,0,-331920,73454796] 6 52290ba4 [1,-1,0,-486270,-1651914] 6
52290bb (4 curves)	2	2+ 3- 5+ 7- 83-	2+ 3- 5+ 7- -4 -2 -2  0
Curve Equation t Generators 52290bb1 [1,-1,0,-59220,5429200] 2 [-133:3374:1]&[-105:3290:1] 52290bb2 [1,-1,0,-941220,351702400] 4 [581:-1141:1]&[-160:22400:1] 52290bb3 [1,-1,0,-934920,356637820] 2 [-6962:184255:8]&[521:-3541:1] 52290bb4 [1,-1,0,-15059520,22497667780] 2 [2241:-1100:1]&[63669:230213:27]
52290bc (2 curves)	0	2+ 3- 5+ 7- 83-	2+ 3- 5+ 7- -4  4 -2  0
Curve Equation t 52290bc1 [1,-1,0,-8510580,-9554108324] 2 52290bc2 [1,-1,0,-8508150,-9559838750] 2
52290bd (1 curve)	2	2+ 3- 5+ 7- 83-	2+ 3- 5+ 7- -4  4 -5 -6
Curve Equation t Generators 52290bd1 [1,-1,0,0,-140] 1 [6:4:1]&[8:14:1]
52290be (1 curve)	1	2+ 3- 5- 7+ 83+	2+ 3- 5- 7+ -1 -1  4  6
Curve Equation t Generators 52290be1 [1,-1,0,-1944,39928] 1 [29:71:1]
52290bf (1 curve)	1	2+ 3- 5- 7+ 83+	2+ 3- 5- 7+  2 -4 -5  0
Curve Equation t Generators 52290bf1 [1,-1,0,-14497974,-21243937100] 1 [3340109729468580:260241567930938794:406045955125]
52290bg (2 curves)	1	2+ 3- 5- 7+ 83+	2+ 3- 5- 7+  2  6  0  0
Curve Equation t Generators 52290bg1 [1,-1,0,-259929,51053485] 2 [-94:8687:1] 52290bg2 [1,-1,0,-219609,67399213] 2 [-73:9149:1]
52290bh (1 curve)	1	2+ 3- 5- 7+ 83+	2+ 3- 5- 7+  3 -2  2  7
Curve Equation t Generators 52290bh1 [1,-1,0,216,-2712312] 1 [177:1599:1]
52290bi (2 curves)	0	2+ 3- 5- 7+ 83-	2+ 3- 5- 7+  2 -4  0  2
Curve Equation t 52290bi1 [1,-1,0,-1666224,-827424720] 2 52290bi2 [1,-1,0,-1643724,-850874220] 2
52290bj (2 curves)	0	2+ 3- 5- 7+ 83-	2+ 3- 5- 7+ -2  4  4 -2
Curve Equation t 52290bj1 [1,-1,0,-16749,630693] 2 52290bj2 [1,-1,0,40851,3983013] 2
52290bk (1 curve)	0	2+ 3- 5- 7- 83+	2+ 3- 5- 7- -1  1 -2 -8
Curve Equation t 52290bk1 [1,-1,0,-340299,-76690395] 1
52290bl (2 curves)	0	2+ 3- 5- 7- 83+	2+ 3- 5- 7- -3 -4  0 -7
Curve Equation t 52290bl1 [1,-1,0,-45085194,306599296500] 1 52290bl2 [1,-1,0,-5120412354,141029550699228] 3
52290bm (4 curves)	0	2+ 3- 5- 7- 83+	2+ 3- 5- 7- -4 -6 -6 -4
Curve Equation t 52290bm1 [1,-1,0,-1273329,-532830947] 2 52290bm2 [1,-1,0,-20169009,-34858723235] 4 52290bm3 [1,-1,0,-19964889,-35598984827] 2 52290bm4 [1,-1,0,-322704009,-2231202316235] 2
52290bn (2 curves)	1	2- 3+ 5+ 7+ 83-	2- 3+ 5+ 7+ -2 -6  6  0
Curve Equation t Generators 52290bn1 [1,-1,1,-58538,4755781] 2 [2174:22723:8] 52290bn2 [1,-1,1,-902288,330105781] 2 [3384846:5865067:5832]
52290bo (2 curves)	1	2- 3+ 5+ 7+ 83-	2- 3+ 5+ 7+  6 -2 -2 -8
Curve Equation t Generators 52290bo1 [1,-1,1,-2648,-48869] 2 [-25:47:1] 52290bo2 [1,-1,1,-8048,218971] 2 [83:301:1]
52290bp (2 curves)	0	2- 3+ 5+ 7- 83-	2- 3+ 5+ 7-  0  0  8 -6
Curve Equation t 52290bp1 [1,-1,1,-1838,21817] 2 52290bp2 [1,-1,1,4912,140617] 2
52290bq (4 curves)	0	2- 3+ 5+ 7- 83-	2- 3+ 5+ 7-  0 -4  0  2
Curve Equation t 52290bq1 [1,-1,1,-1738298,882405497] 6 52290bq2 [1,-1,1,-1546298,1084696697] 6 52290bq3 [1,-1,1,-4367738,-2321091719] 2 52290bq4 [1,-1,1,12507262,-15915591719] 2
52290br (2 curves)	0	2- 3+ 5+ 7- 83-	2- 3+ 5+ 7- -2  4  2  4
Curve Equation t 52290br1 [1,-1,1,457,175231] 2 52290br2 [1,-1,1,-44363,3527767] 2
52290bs (2 curves)	0	2- 3+ 5+ 7- 83-	2- 3+ 5+ 7- -4  0  4  6
Curve Equation t 52290bs1 [1,-1,1,-1428653,-656902763] 2 52290bs2 [1,-1,1,-1411373,-673581419] 2
52290bt (2 curves)	0	2- 3+ 5+ 7- 83-	2- 3+ 5+ 7-  6  0  2  6
Curve Equation t 52290bt1 [1,-1,1,-7589801468,-254498287432769] 2 52290bt2 [1,-1,1,-121436385788,-16288104759456833] 2
52290bu (2 curves)	0	2- 3+ 5- 7+ 83-	2- 3+ 5- 7+ -4  4  0  4
Curve Equation t 52290bu1 [1,-1,1,-677,5401] 2 52290bu2 [1,-1,1,-10127,394741] 2
52290bv (2 curves)	0	2- 3+ 5- 7+ 83-	2- 3+ 5- 7+  6  6 -6  0
Curve Equation t 52290bv1 [1,-1,1,-70607,-7187561] 2 52290bv2 [1,-1,1,-1129007,-461452841] 2
52290bw (4 curves)	0	2- 3+ 5- 7- 83+	2- 3+ 5- 7-  6 -4  6  2
Curve Equation t 52290bw1 [1,-1,1,-103007,-11058361] 6 52290bw2 [1,-1,1,-432287,98394311] 6 52290bw3 [1,-1,1,-8041007,-8774335961] 2 52290bw4 [1,-1,1,-8044787,-8765670689] 2
52290bx (2 curves)	1	2- 3+ 5- 7- 83-	2- 3+ 5- 7- -2 -2  2  4
Curve Equation t Generators 52290bx1 [1,-1,1,-9328097,-10520329679] 2 [-1889:19844:1] 52290bx2 [1,-1,1,-147568097,-689942281679] 2 [-7009:2524:1]
52290by (2 curves)	1	2- 3- 5+ 7+ 83+	2- 3- 5+ 7+ -4 -4 -6  0
Curve Equation t Generators 52290by1 [1,-1,1,-473,-3463] 2 [-15:16:1] 52290by2 [1,-1,1,607,-17719] 2 [45:-338:1]
52290bz (2 curves)	0	2- 3- 5+ 7+ 83-	2- 3- 5+ 7+  2  2 -8  4
Curve Equation t 52290bz1 [1,-1,1,-875807707973,-312159262684233603] 2 52290bz2 [1,-1,1,-163970080493,-804914054084612019] 2
52290ca (1 curve)	0	2- 3- 5+ 7+ 83-	2- 3- 5+ 7+  2 -4  7 -8
Curve Equation t 52290ca1 [1,-1,1,-4118,-101019] 1
52290cb (2 curves)	0	2- 3- 5+ 7- 83+	2- 3- 5+ 7-  3 -1 -6 -4
Curve Equation t 52290cb1 [1,-1,1,5602,-10462669] 1 52290cb2 [1,-1,1,-50423,282525671] 3
52290cc (4 curves)	0	2- 3- 5+ 7- 83+	2- 3- 5+ 7-  4  6  2 -4
Curve Equation t 52290cc1 [1,-1,1,-4433,69441] 2 52290cc2 [1,-1,1,-62753,6064737] 4 52290cc3 [1,-1,1,-54653,7681497] 2 52290cc4 [1,-1,1,-1003973,387447081] 2
52290cd (1 curve)	0	2- 3- 5+ 7- 83+	2- 3- 5+ 7-  6 -4  3 -8
Curve Equation t 52290cd1 [1,-1,1,-32153,-3389763] 1
52290ce (2 curves)	1	2- 3- 5+ 7- 83-	2- 3- 5+ 7- -3 -4  0 -1
Curve Equation t Generators 52290ce1 [1,-1,1,1552,147197] 1 [-2508:11347:64] 52290ce2 [1,-1,1,-170573,27168797] 3 [-447:3958:1]
52290cf (2 curves)	0	2- 3- 5- 7+ 83+	2- 3- 5- 7+  6 -2 -4  4
Curve Equation t 52290cf1 [1,-1,1,-10337,-401551] 2 52290cf2 [1,-1,1,-7817,-604159] 2
52290cg (2 curves)	1	2- 3- 5- 7+ 83-	2- 3- 5- 7+  4 -4  2 -6
Curve Equation t Generators 52290cg1 [1,-1,1,-3992,-95209] 2 [822:5633:8] 52290cg2 [1,-1,1,-7142,78671] 2 [23154:146491:216]
52290ch (4 curves)	1	2- 3- 5- 7+ 83-	2- 3- 5- 7+ -4  2 -2  4
Curve Equation t Generators 52290ch1 [1,-1,1,-122747,16583019] 2 [197:-234:1] 52290ch2 [1,-1,1,-125627,15766251] 4 [-169:5754:1] 52290ch3 [1,-1,1,143293,73960539] 2 [-3:8576:1] 52290ch4 [1,-1,1,-440627,-94735749] 2 [-439:3954:1]
52290ci (4 curves)	1	2- 3- 5- 7- 83+	2- 3- 5- 7-  0  2 -6  0
Curve Equation t Generators 52290ci1 [1,-1,1,-66812,1707711] 4 [-259:1389:1] 52290ci2 [1,-1,1,-631292,-191570241] 4 [-483:941:1] 52290ci3 [1,-1,1,-212972,-441892929] 2 [1011:18869:1] 52290ci4 [1,-1,1,-10081292,-12317810241] 2 [-1833:941:1]
52290cj (2 curves)	1	2- 3- 5- 7- 83+	2- 3- 5- 7-  0 -4  3  2
Curve Equation t Generators 52290cj1 [1,-1,1,373,-46501] 1 [39:142:1] 52290cj2 [1,-1,1,-3362,1257761] 3 [-111:559:1]
52290ck (1 curve)	1	2- 3- 5- 7- 83+	2- 3- 5- 7-  1  1 -4 -6
Curve Equation t Generators 52290ck1 [1,-1,1,-50432,-4346589] 1 [269:1089:1]
52290cl (2 curves)	1	2- 3- 5- 7- 83+	2- 3- 5- 7-  2  0  0  2
Curve Equation t Generators 52290cl1 [1,-1,1,-88097,-6038031] 2 [407:-5244:1] 52290cl2 [1,-1,1,271903,-43046031] 2 [257:-6744:1]
52290cm (1 curve)	1	2- 3- 5- 7- 83+	2- 3- 5- 7- -3 -1  0 -6
Curve Equation t Generators 52290cm1 [1,-1,1,58,-21] 1 [116:513:64]
52290cn (1 curve)	1	2- 3- 5- 7- 83+	2- 3- 5- 7- -3 -5  0  2
Curve Equation t Generators 52290cn1 [1,-1,1,26252068,-8712143841] 1 [6359:641283:1]
52290co (1 curve)	1	2- 3- 5- 7- 83+	2- 3- 5- 7- -5 -2  2  3
Curve Equation t Generators 52290co1 [1,-1,1,-1517,23541] 1 [11:84:1]
52290cp (4 curves)	0	2- 3- 5- 7- 83-	2- 3- 5- 7-  0  2 -6  2
Curve Equation t 52290cp1 [1,-1,1,-285737,-57603751] 2 52290cp2 [1,-1,1,22963,-175774111] 2 52290cp3 [1,-1,1,-2726672,1709942771] 6 52290cp4 [1,-1,1,-206672,4746038771] 6
52290cq (1 curve)	0	2- 3- 5- 7- 83-	2- 3- 5- 7-  1  0  4  7
Curve Equation t 52290cq1 [1,-1,1,-502637,-137035051] 1
52290cr (2 curves)	0	2- 3- 5- 7- 83-	2- 3- 5- 7- -2  6  4 -2
Curve Equation t 52290cr1 [1,-1,1,-5252,116579] 2 52290cr2 [1,-1,1,-27302,-1629781] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations