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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass Coefficients Rank Torsion structure
51714.a1 51714j1 51714.a 51714j [1, -1, 0, 34191, 254749] 1 []
51714.b1 51714k1 51714.b 51714k [1, -1, 0, -3834, -57056] 1 [2]
51714.b2 51714k2 51714.b 51714k [1, -1, 0, 11376, -406886] 1 [2]
51714.c1 51714h2 51714.c 51714h [1, -1, 0, -1611, 30213] 1 []
51714.c2 51714h1 51714.c 51714h [1, -1, 0, 144, -324] 1 []
51714.d1 51714e1 51714.d 51714e [1, -1, 0, -2417661, 1447796533] 0 []
51714.e1 51714d4 51714.e 51714d [1, -1, 0, -1660203, -822916535] 2 [2]
51714.e2 51714d3 51714.e 51714d [1, -1, 0, -504243, 127124401] 2 [2]
51714.e3 51714d2 51714.e 51714d [1, -1, 0, -108783, -11523875] 2 [2, 2]
51714.e4 51714d1 51714.e 51714d [1, -1, 0, 12897, -1035059] 2 [2]
51714.f1 51714b1 51714.f 51714b [1, -1, 0, -12960, -674816] 0 []
51714.g1 51714g1 51714.g 51714g [1, -1, 0, -29067102, 58309856788] 1 [2]
51714.g2 51714g2 51714.g 51714g [1, -1, 0, 12060738, 210063360820] 1 [2]
51714.h1 51714f3 51714.h 51714f [1, -1, 0, -1141542, 355203252] 1 [2]
51714.h2 51714f1 51714.h 51714f [1, -1, 0, -388647, -93125187] 1 [2]
51714.h3 51714f2 51714.h 51714f [1, -1, 0, -327807, -123313995] 1 [2]
51714.h4 51714f4 51714.h 51714f [1, -1, 0, 2752218, 2249906868] 1 [2]
51714.i1 51714a2 51714.i 51714a [1, -1, 0, -426672, -107119908] 0 [2]
51714.i2 51714a1 51714.i 51714a [1, -1, 0, -31212, -1057536] 0 [2]
51714.j1 51714c1 51714.j 51714c [1, -1, 0, -82926, 8880340] 0 [2]
51714.j2 51714c2 51714.j 51714c [1, -1, 0, 38754, 32656612] 0 [2]
51714.k1 51714l2 51714.k 51714l [1, -1, 0, -8683011, -8525445291] 1 [2]
51714.k2 51714l1 51714.k 51714l [1, -1, 0, 901629, -721631403] 1 [2]
51714.l1 51714m2 51714.l 51714m [1, -1, 0, -158625, -24273027] 1 [2]
51714.l2 51714m1 51714.l 51714m [1, -1, 0, -8865, -461187] 1 [2]
51714.m1 51714i1 51714.m 51714i [1, -1, 0, -38310, 2896388] 1 []
51714.n1 51714z1 51714.n 51714z [1, -1, 1, -6474422, 6343941205] 0 []
51714.o1 51714bb2 51714.o 51714bb [1, -1, 1, -26807657, -53408263255] 0 [2]
51714.o2 51714bb1 51714.o 51714bb [1, -1, 1, -1498217, -1017722455] 0 [2]
51714.p1 51714r2 51714.p 51714r [1, -1, 1, -1842977, -941070815] 1 [2]
51714.p2 51714r1 51714.p 51714r [1, -1, 1, -261137, 30178945] 1 [2]
51714.q1 51714u2 51714.q 51714u [1, -1, 1, -211451, 37477041] 0 [2]
51714.q2 51714u1 51714.q 51714u [1, -1, 1, -13721, 541077] 0 [2]
51714.r1 51714p6 51714.r 51714p [1, -1, 1, -42198656, 105521136257] 1 [2]
51714.r2 51714p4 51714.r 51714p [1, -1, 1, -2637446, 1649223281] 1 [2, 2]
51714.r3 51714p5 51714.r 51714p [1, -1, 1, -2500556, 1827946865] 1 [2]
51714.r4 51714p2 51714.r 51714p [1, -1, 1, -173426, 22970081] 1 [2, 2]
51714.r5 51714p1 51714.r 51714p [1, -1, 1, -51746, -4188895] 1 [2]
51714.r6 51714p3 51714.r 51714p [1, -1, 1, 343714, 133431185] 1 [2]
51714.s1 51714ba2 51714.s 51714ba [1, -1, 1, -1467428891, -18734805590965] 0 [2]
51714.s2 51714ba1 51714.s 51714ba [1, -1, 1, 152375269, -1584967066549] 0 [2]
51714.t1 51714v1 51714.t 51714v [1, -1, 1, -2690681, 609260825] 0 [2]
51714.t2 51714v2 51714.t 51714v [1, -1, 1, 9964039, 4694204441] 0 [2]
51714.u1 51714n2 51714.u 51714n [1, -1, 1, -27040370, -54113919375] 1 [2]
51714.u2 51714n1 51714.u 51714n [1, -1, 1, -1730930, -802114959] 1 [2]
51714.v1 51714s4 51714.v 51714s [1, -1, 1, -171905, 19000271] 0 [2]
51714.v2 51714s3 51714.v 51714s [1, -1, 1, -156695, 23910059] 0 [2]
51714.v3 51714s2 51714.v 51714s [1, -1, 1, -65435, -6424765] 0 [2]
51714.v4 51714s1 51714.v 51714s [1, -1, 1, -4595, -73069] 0 [2]
51714.w1 51714o1 51714.w 51714o [1, -1, 1, -2190272, -1489141533] 1 []
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