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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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