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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass Coefficients Rank Torsion structure
15.a2 15a2 15.a 15a [1, 1, 1, -135, -660] 0 [2, 2]
15.a4 15a7 15.a 15a [1, 1, 1, -80, 242] 0 [4]
15.a7 15a8 15.a 15a [1, 1, 1, 0, 0] 0 [4]
17.a2 17a2 17.a 17a [1, -1, 1, -6, -4] 0 [2, 2]
17.a3 17a1 17.a 17a [1, -1, 1, -1, -14] 0 [4]
17.a4 17a4 17.a 17a [1, -1, 1, -1, 0] 0 [4]
21.a2 21a2 21.a 21a [1, 0, 0, -49, -136] 0 [2, 2]
21.a6 21a4 21.a 21a [1, 0, 0, 1, 0] 0 [4]
24.a2 24a3 24.a 24a [0, -1, 0, -64, 220] 0 [4]
24.a3 24a2 24.a 24a [0, -1, 0, -24, -36] 0 [2, 2]
24.a5 24a4 24.a 24a [0, -1, 0, 1, 0] 0 [4]
30.a3 30a6 30.a 30a [1, 0, 1, -334, -2368] 0 [2, 2]
32.a2 32a4 32.a 32a [0, 0, 0, -11, 14] 0 [4]
32.a3 32a2 32.a 32a [0, 0, 0, -1, 0] 0 [2, 2]
32.a4 32a1 32.a 32a [0, 0, 0, 4, 0] 0 [4]
33.a1 33a3 33.a 33a [1, 1, 0, -146, 621] 0 [4]
33.a2 33a1 33.a 33a [1, 1, 0, -11, 0] 0 [2, 2]
39.a2 39a3 39.a 39a [1, 1, 0, -19, 22] 0 [4]
39.a3 39a1 39.a 39a [1, 1, 0, -4, -5] 0 [2, 2]
40.a2 40a1 40.a 40a [0, 0, 0, -7, -6] 0 [2, 2]
40.a3 40a3 40.a 40a [0, 0, 0, -2, 1] 0 [4]
40.a4 40a4 40.a 40a [0, 0, 0, 13, -34] 0 [4]
42.a1 42a4 42.a 42a [1, 1, 1, -1344, 18405] 0 [4]
42.a3 42a3 42.a 42a [1, 1, 1, -104, 101] 0 [2, 2]
45.a2 45a5 45.a 45a [1, -1, 0, -1215, 16600] 0 [2, 2]
45.a5 45a4 45.a 45a [1, -1, 0, -90, 175] 0 [2, 2]
45.a6 45a2 45.a 45a [1, -1, 0, -45, -104] 0 [2, 2]
48.a1 48a5 48.a 48a [0, 1, 0, -384, 2772] 0 [4]
48.a4 48a1 48.a 48a [0, 1, 0, -4, -4] 0 [2, 2]
55.a1 55a3 55.a 55a [1, -1, 0, -59, 190] 0 [4]
55.a3 55a1 55.a 55a [1, -1, 0, -4, 3] 0 [2, 2]
56.a3 56a2 56.a 56a [0, 0, 0, -19, 30] 0 [2, 2]
56.a4 56a1 56.a 56a [0, 0, 0, 1, 2] 0 [4]
57.c1 57b3 57.c 57b [1, 0, 1, -102, 385] 0 [4]
57.c2 57b1 57.c 57b [1, 0, 1, -7, 5] 0 [2, 2]
62.a3 62a2 62.a 62a [1, -1, 1, -21, 41] 0 [2, 2]
62.a4 62a1 62.a 62a [1, -1, 1, -1, 1] 0 [4]
63.a1 63a5 63.a 63a [1, -1, 0, -7056, 229905] 0 [4]
63.a2 63a4 63.a 63a [1, -1, 0, -441, 3672] 0 [2, 2]
63.a5 63a2 63.a 63a [1, -1, 0, -36, 27] 0 [2, 2]
64.a2 64a3 64.a 64a [0, 0, 0, -44, 112] 0 [4]
64.a3 64a1 64.a 64a [0, 0, 0, -4, 0] 0 [2, 2]
66.b2 66b2 66.b 66b [1, 1, 1, -22, -49] 0 [2, 2]
66.b4 66b1 66.b 66b [1, 1, 1, -2, -1] 0 [4]
70.a3 70a2 70.a 70a [1, -1, 1, -18, -19] 0 [2, 2]
70.a4 70a1 70.a 70a [1, -1, 1, 2, -3] 0 [4]
72.a3 72a4 72.a 72a [0, 0, 0, -219, 1190] 0 [2, 2]
72.a4 72a2 72.a 72a [0, 0, 0, -39, -70] 0 [2, 2]
72.a5 72a1 72.a 72a [0, 0, 0, 6, -7] 0 [4]
75.b2 75b5 75.b 75b [1, 0, 1, -3376, -75727] 0 [2, 2]
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