Cremona's table of elliptic curves

66402 = 2 · 3² · 7 · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
66402a (2 curves)	0	2+ 3- 7+ 17+ 31+	2+ 3-  2 7+ -2  0 17+ -4
Curve Equation t 66402a1 [1,-1,0,504,-48128] 2 66402a2 [1,-1,0,-17136,-827816] 2
66402b (4 curves)	1	2+ 3- 7+ 17+ 31-	2+ 3- -2 7+  0  6 17+ -4
Curve Equation t Generators 66402b1 [1,-1,0,-150288,-22387456] 2 [4960:345712:1] 66402b2 [1,-1,0,-153168,-21482560] 4 [-179:508:1] 66402b3 [1,-1,0,146712,-95552920] 2 [19813:2779396:1] 66402b4 [1,-1,0,-499128,110466584] 2 [565:2647:1]
66402c (2 curves)	1	2+ 3- 7+ 17- 31+	2+ 3-  4 7+  2 -6 17-  8
Curve Equation t Generators 66402c1 [1,-1,0,-150120,22425088] 2 [24:4328:1] 66402c2 [1,-1,0,-150480,22312408] 2 [509:8543:1]
66402d (2 curves)	0	2+ 3- 7+ 17- 31-	2+ 3-  0 7+ -2  2 17-  0
Curve Equation t 66402d1 [1,-1,0,-174672,26479872] 2 66402d2 [1,-1,0,-543312,-121934592] 2
66402e (1 curve)	0	2+ 3- 7+ 17- 31-	2+ 3- -1 7+  5  5 17-  4
Curve Equation t 66402e1 [1,-1,0,11406600,-3713452736] 1
66402f (4 curves)	0	2+ 3- 7+ 17- 31-	2+ 3-  2 7+ -4  2 17-  4
Curve Equation t 66402f1 [1,-1,0,-3906,616900] 2 66402f2 [1,-1,0,-135126,19066432] 4 66402f3 [1,-1,0,-210456,-4511858] 2 66402f4 [1,-1,0,-2159316,1221840130] 2
66402g (1 curve)	0	2+ 3- 7+ 17- 31-	2+ 3-  3 7+ -2  2 17-  6
Curve Equation t 66402g1 [1,-1,0,72,378] 1
66402h (1 curve)	0	2+ 3- 7+ 17- 31-	2+ 3-  3 7+ -2 -6 17- -2
Curve Equation t 66402h1 [1,-1,0,-1968,-471808] 1
66402i (6 curves)	1	2+ 3- 7- 17+ 31+	2+ 3-  2 7- -4 -2 17+ -4
Curve Equation t Generators 66402i1 [1,-1,0,954,-270540] 2 [85:605:1] 66402i2 [1,-1,0,-57366,-5134428] 4 [-149:372:1] 66402i3 [1,-1,0,-136746,12249792] 4 [42:2544:1] 66402i4 [1,-1,0,-911106,-334507320] 2 [2205:90405:1] 66402i5 [1,-1,0,409464,85332690] 2 [2065:97625:1] 66402i6 [1,-1,0,-1953036,1050804414] 2 [106155:201456:125]
66402j (4 curves)	2	2+ 3- 7- 17+ 31-	2+ 3- -2 7- -4 -2 17+ -8
Curve Equation t Generators 66402j1 [1,-1,0,-6273,-189635] 2 [-45:25:1]&[123:881:1] 66402j2 [1,-1,0,-6993,-142835] 4 [-49:308:1]&[-34:251:1] 66402j3 [1,-1,0,20547,-1007591] 2 [50:353:1]&[68:803:1] 66402j4 [1,-1,0,-46053,3708481] 2 [-130:2801:1]&[-76:2639:1]
66402k (1 curve)	0	2+ 3- 7- 17+ 31-	2+ 3-  3 7- -5 -5 17+ -8
Curve Equation t 66402k1 [1,-1,0,-628173,-191474843] 1
66402l (1 curve)	0	2+ 3- 7- 17- 31+	2+ 3-  1 7-  2  6 17- -6
Curve Equation t 66402l1 [1,-1,0,-10809,-465939] 1
66402m (2 curves)	0	2+ 3- 7- 17- 31+	2+ 3- -2 7-  2  0 17-  0
Curve Equation t 66402m1 [1,-1,0,-25083513,48896141805] 2 66402m2 [1,-1,0,-402570873,3109035174381] 2
66402n (4 curves)	1	2+ 3- 7- 17- 31-	2+ 3-  2 7-  4 -6 17- -4
Curve Equation t Generators 66402n1 [1,-1,0,-22806,-2330636] 2 [30345:300937:125] 66402n2 [1,-1,0,-437526,-111236108] 4 [981:19582:1] 66402n3 [1,-1,0,-510966,-71299436] 2 [1265:35498:1] 66402n4 [1,-1,0,-6999606,-7126099628] 2 [7029:535853:1]
66402o (1 curve)	1	2+ 3- 7- 17- 31-	2+ 3- -3 7-  4  4 17- -2
Curve Equation t Generators 66402o1 [1,-1,0,-170826,27221876] 1 [239:-60:1]
66402p (2 curves)	1	2- 3- 7+ 17+ 31+	2- 3-  0 7+ -2 -2 17+  2
Curve Equation t Generators 66402p1 [1,-1,1,-99425,12079405] 2 [91:1898:1] 66402p2 [1,-1,1,-125435,5285593] 2 [2356:52979:64]
66402q (1 curve)	1	2- 3- 7+ 17+ 31+	2- 3-  1 7+  4  4 17+  4
Curve Equation t Generators 66402q1 [1,-1,1,9868,503543] 1 [43:981:1]
66402r (2 curves)	1	2- 3- 7+ 17+ 31+	2- 3-  2 7+  0  0 17+  0
Curve Equation t Generators 66402r1 [1,-1,1,-17159594,27363938793] 2 [2417:951:1] 66402r2 [1,-1,1,-274553834,1751081685225] 2 [8823:119943:1]
66402s (2 curves)	1	2- 3- 7+ 17+ 31+	2- 3-  2 7+  4  0 17+ -4
Curve Equation t Generators 66402s1 [1,-1,1,-10231484,-12817087617] 2 [7751:607269:1] 66402s2 [1,-1,1,-164507324,-812089359489] 2 [1921195:-68272623:125]
66402t (2 curves)	1	2- 3- 7+ 17+ 31+	2- 3-  4 7+ -2 -2 17+ -2
Curve Equation t Generators 66402t1 [1,-1,1,-16133,634169] 2 [-11145:151166:125] 66402t2 [1,-1,1,-81743,-8420011] 2 [-436017540:2228996657:2744000]
66402u (2 curves)	1	2- 3- 7+ 17+ 31+	2- 3- -4 7+  0  2 17+  2
Curve Equation t Generators 66402u1 [1,-1,1,-3092,65895] 2 [23:69:1] 66402u2 [1,-1,1,-32,188295] 2 [-3:435:1]
66402v (2 curves)	1	2- 3- 7+ 17+ 31+	2- 3- -4 7+  4  6 17+ -4
Curve Equation t Generators 66402v1 [1,-1,1,-11057,444705] 2 [41:222:1] 66402v2 [1,-1,1,-176297,28535505] 2 [245:-60:1]
66402w (2 curves)	1	2- 3- 7+ 17+ 31+	2- 3- -4 7+ -6 -6 17+ -6
Curve Equation t Generators 66402w1 [1,-1,1,-9070481417,22762338660105] 2 [1031:3661692:1] 66402w2 [1,-1,1,-96141774857,-11430769743024375] 2 [-248050715:5079158580:1331]
66402x (1 curve)	0	2- 3- 7+ 17+ 31-	2- 3-  1 7+  6  6 17+ -4
Curve Equation t 66402x1 [1,-1,1,178,37] 1
66402y (2 curves)	0	2- 3- 7+ 17+ 31-	2- 3-  2 7+  2 -2 17+  2
Curve Equation t 66402y1 [1,-1,1,4216,-146037] 2 66402y2 [1,-1,1,-29264,-1485237] 2
66402z (1 curve)	0	2- 3- 7+ 17- 31+	2- 3-  1 7+  1 -5 17- -2
Curve Equation t 66402z1 [1,-1,1,-4874837,64760016557] 1
66402ba (1 curve)	0	2- 3- 7+ 17- 31+	2- 3-  1 7+ -4  0 17-  8
Curve Equation t 66402ba1 [1,-1,1,-257,-1767] 1
66402bb (2 curves)	0	2- 3- 7+ 17- 31+	2- 3- -2 7+  2  0 17-  2
Curve Equation t 66402bb1 [1,-1,1,-1578371,-6852605569] 2 66402bb2 [1,-1,1,-64629581,-198805709293] 2
66402bc (2 curves)	0	2- 3- 7+ 17- 31+	2- 3- -2 7+  2  6 17-  2
Curve Equation t 66402bc1 [1,-1,1,-10427036,-3956128545] 2 66402bc2 [1,-1,1,-95029916,353677165791] 2
66402bd (2 curves)	0	2- 3- 7+ 17- 31+	2- 3- -2 7+  4  4 17-  4
Curve Equation t 66402bd1 [1,-1,1,-3371,-164869] 2 66402bd2 [1,-1,1,-70331,-7155493] 2
66402be (2 curves)	2	2- 3- 7+ 17- 31+	2- 3- -2 7+ -4 -6 17-  2
Curve Equation t Generators 66402be1 [1,-1,1,-1076,-8809] 2 [-23:69:1]&[-11:45:1] 66402be2 [1,-1,1,-6836,212375] 2 [25:225:1]&[-77:565:1]
66402bf (2 curves)	1	2- 3- 7+ 17- 31-	2- 3-  0 7+  0  2 17-  0
Curve Equation t Generators 66402bf1 [1,-1,1,-2300,40763] 2 [-42:1853:8] 66402bf2 [1,-1,1,-6890,-168541] 2 [-234:797:8]
66402bg (2 curves)	1	2- 3- 7+ 17- 31-	2- 3-  0 7+  0 -2 17-  6
Curve Equation t Generators 66402bg1 [1,-1,1,-387498515,2936073770291] 2 [11559:-41582:1] 66402bg2 [1,-1,1,-383961155,2992305059795] 2 [8091:640390:1]
66402bh (2 curves)	1	2- 3- 7+ 17- 31-	2- 3-  0 7+ -2  6 17- -2
Curve Equation t Generators 66402bh1 [1,-1,1,-13295,-562697] 2 [-61:166:1] 66402bh2 [1,-1,1,-36335,1934839] 2 [-113:2198:1]
66402bi (2 curves)	1	2- 3- 7+ 17- 31-	2- 3-  0 7+ -6  2 17-  6
Curve Equation t Generators 66402bi1 [1,-1,1,-607280,-180462445] 2 [-419:753:1] 66402bi2 [1,-1,1,-1073840,135305363] 2 [-491:23569:1]
66402bj (2 curves)	1	2- 3- 7+ 17- 31-	2- 3-  2 7+  6 -4 17- -2
Curve Equation t Generators 66402bj1 [1,-1,1,13666,-961747] 2 [61:279:1] 66402bj2 [1,-1,1,-102974,-10199635] 2 [-245:649:1]
66402bk (1 curve)	1	2- 3- 7+ 17- 31-	2- 3-  3 7+  3 -1 17-  0
Curve Equation t Generators 66402bk1 [1,-1,1,5269,-460357] 1 [267:4330:1]
66402bl (1 curve)	1	2- 3- 7+ 17- 31-	2- 3- -3 7+ -3 -5 17- -6
Curve Equation t Generators 66402bl1 [1,-1,1,210136,48693899] 1 [-117:4801:1]
66402bm (2 curves)	1	2- 3- 7+ 17- 31-	2- 3- -4 7+  2 -6 17- -2
Curve Equation t Generators 66402bm1 [1,-1,1,-150077,4421125] 2 [-299:4892:1] 66402bm2 [1,-1,1,-1814717,939948805] 2 [2965:145550:1]
66402bn (1 curve)	0	2- 3- 7- 17+ 31+	2- 3- -1 7- -3  1 17+  8
Curve Equation t 66402bn1 [1,-1,1,-5738,169715] 1
66402bo (4 curves)	1	2- 3- 7- 17+ 31-	2- 3-  0 7-  0  2 17+  2
Curve Equation t Generators 66402bo1 [1,-1,1,-20679710,-35924419411] 2 [-6122883:-13473377:2197] 66402bo2 [1,-1,1,-6530270,-84247586899] 2 [503629645155:-17532279318679:94196375] 66402bo3 [1,-1,1,-141821285,628408393373] 6 [-13377:369568:1] 66402bo4 [1,-1,1,58718875,2263131561629] 6 [-2477:1451232:1]
66402bp (2 curves)	1	2- 3- 7- 17+ 31-	2- 3-  0 7- -4 -6 17+  2
Curve Equation t Generators 66402bp1 [1,-1,1,-2480,-7405] 2 [-15:169:1] 66402bp2 [1,-1,1,9760,-66157] 2 [61:-899:1]
66402bq (2 curves)	1	2- 3- 7- 17+ 31-	2- 3-  2 7- -2 -2 17+ -6
Curve Equation t Generators 66402bq1 [1,-1,1,-2489,45785] 2 [15:100:1] 66402bq2 [1,-1,1,-39209,2998073] 2 [117:-14:1]
66402br (2 curves)	1	2- 3- 7- 17+ 31-	2- 3-  2 7- -2  4 17+ -6
Curve Equation t Generators 66402br1 [1,-1,1,1396516,54524603] 2 [362804292:98720272625:9528128] 66402br2 [1,-1,1,-5609174,441238691] 2 [1247795217394062660:-167610050413122505423:68498255295296]
66402bs (2 curves)	1	2- 3- 7- 17+ 31-	2- 3-  3 7-  0 -4 17+ -4
Curve Equation t Generators 66402bs1 [1,-1,1,-14576,7480019] 1 [1681:67941:1] 66402bs2 [1,-1,1,-3382871,2395728623] 3 [1987:58302:1]
66402bt (1 curve)	1	2- 3- 7- 17- 31+	2- 3- -1 7- -2  2 17-  0
Curve Equation t Generators 66402bt1 [1,-1,1,340052422,-6434997526407] 1 [174321:73056903:1]
66402bu (1 curve)	1	2- 3- 7- 17- 31+	2- 3- -1 7- -2  2 17-  0
Curve Equation t Generators 66402bu1 [1,-1,1,-4748,127905] 1 [-450:3927:8]
66402bv (2 curves)	1	2- 3- 7- 17- 31+	2- 3-  2 7- -2  2 17-  6
Curve Equation t Generators 66402bv1 [1,-1,1,-44609,3470145] 2 [-1610:17325:8] 66402bv2 [1,-1,1,-127229,-13020807] 2 [-1994:15213:8]
66402bw (4 curves)	0	2- 3- 7- 17- 31-	2- 3-  0 7-  0  2 17- -4
Curve Equation t 66402bw1 [1,-1,1,-41855,-3240061] 2 66402bw2 [1,-1,1,-83165,4245311] 2 66402bw3 [1,-1,1,-355730,80210513] 6 66402bw4 [1,-1,1,-5661770,5186743409] 6

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