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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
32.a3 32a2 32.a 32a $[0, 0, 0, -1, 0]$ $0$ $[2, 2]$
32.a4 32a1 32.a 32a $[0, 0, 0, 4, 0]$ $0$ $[4]$
64.a3 64a1 64.a 64a $[0, 0, 0, -4, 0]$ $0$ $[2, 2]$
64.a4 64a4 64.a 64a $[0, 0, 0, 1, 0]$ $0$ $[2]$
256.b1 256b1 256.b 256b $[0, 0, 0, -2, 0]$ $1$ $[2]$
256.b2 256b2 256.b 256b $[0, 0, 0, 8, 0]$ $1$ $[2]$
256.c1 256c2 256.c 256c $[0, 0, 0, -8, 0]$ $0$ $[2]$
256.c2 256c1 256.c 256c $[0, 0, 0, 2, 0]$ $0$ $[2]$
288.a1 288a2 288.a 288a $[0, 0, 0, -12, 0]$ $1$ $[2]$
288.a2 288a1 288.a 288a $[0, 0, 0, 3, 0]$ $1$ $[2]$
288.d3 288d1 288.d 288d $[0, 0, 0, -9, 0]$ $0$ $[2, 2]$
288.d4 288d4 288.d 288d $[0, 0, 0, 36, 0]$ $0$ $[2]$
288.e1 288e2 288.e 288e $[0, 0, 0, -108, 0]$ $0$ $[2]$
288.e2 288e1 288.e 288e $[0, 0, 0, 27, 0]$ $0$ $[2]$
576.a1 576g1 576.a 576g $[0, 0, 0, -27, 0]$ $0$ $[2]$
576.a2 576g2 576.a 576g $[0, 0, 0, 108, 0]$ $0$ $[2]$
576.c3 576h2 576.c 576h $[0, 0, 0, -36, 0]$ $1$ $[2, 2]$
576.c4 576h1 576.c 576h $[0, 0, 0, 9, 0]$ $1$ $[2]$
576.i1 576f1 576.i 576f $[0, 0, 0, -3, 0]$ $0$ $[2]$
576.i2 576f2 576.i 576f $[0, 0, 0, 12, 0]$ $0$ $[2]$
800.d3 800a1 800.d 800a $[0, 0, 0, -25, 0]$ $1$ $[2, 2]$
800.d4 800a4 800.d 800a $[0, 0, 0, 100, 0]$ $1$ $[2]$
800.e1 800h1 800.e 800h $[0, 0, 0, -5, 0]$ $1$ $[2]$
800.e2 800h2 800.e 800h $[0, 0, 0, 20, 0]$ $1$ $[2]$
800.f1 800d1 800.f 800d $[0, 0, 0, -125, 0]$ $0$ $[2]$
800.f2 800d2 800.f 800d $[0, 0, 0, 500, 0]$ $0$ $[2]$
1568.d1 1568b2 1568.d 1568b $[0, 0, 0, -1372, 0]$ $0$ $[2]$
1568.d2 1568b1 1568.d 1568b $[0, 0, 0, 343, 0]$ $0$ $[2]$
1568.e3 1568g1 1568.e 1568g $[0, 0, 0, -49, 0]$ $1$ $[2, 2]$
1568.e4 1568g4 1568.e 1568g $[0, 0, 0, 196, 0]$ $1$ $[2]$
1568.f1 1568a2 1568.f 1568a $[0, 0, 0, -28, 0]$ $0$ $[2]$
1568.f2 1568a1 1568.f 1568a $[0, 0, 0, 7, 0]$ $0$ $[2]$
1600.l1 1600u2 1600.l 1600u $[0, 0, 0, -500, 0]$ $1$ $[2]$
1600.l2 1600u1 1600.l 1600u $[0, 0, 0, 125, 0]$ $1$ $[2]$
1600.m1 1600t2 1600.m 1600t $[0, 0, 0, -20, 0]$ $1$ $[2]$
1600.m2 1600t1 1600.m 1600t $[0, 0, 0, 5, 0]$ $1$ $[2]$
1600.n3 1600o2 1600.n 1600o $[0, 0, 0, -100, 0]$ $0$ $[2, 2]$
1600.n4 1600o1 1600.n 1600o $[0, 0, 0, 25, 0]$ $0$ $[2]$
2304.a1 2304p2 2304.a 2304p $[0, 0, 0, -72, 0]$ $1$ $[2]$
2304.a2 2304p1 2304.a 2304p $[0, 0, 0, 18, 0]$ $1$ $[2]$
2304.c1 2304b1 2304.c 2304b $[0, 0, 0, -6, 0]$ $1$ $[2]$
2304.c2 2304b2 2304.c 2304b $[0, 0, 0, 24, 0]$ $1$ $[2]$
2304.d1 2304j2 2304.d 2304j $[0, 0, 0, -216, 0]$ $0$ $[2]$
2304.d2 2304j1 2304.d 2304j $[0, 0, 0, 54, 0]$ $0$ $[2]$
2304.m1 2304a1 2304.m 2304a $[0, 0, 0, -54, 0]$ $1$ $[2]$
2304.m2 2304a2 2304.m 2304a $[0, 0, 0, 216, 0]$ $1$ $[2]$
2304.n1 2304i2 2304.n 2304i $[0, 0, 0, -24, 0]$ $0$ $[2]$
2304.n2 2304i1 2304.n 2304i $[0, 0, 0, 6, 0]$ $0$ $[2]$
2304.p1 2304h1 2304.p 2304h $[0, 0, 0, -18, 0]$ $0$ $[2]$
2304.p2 2304h2 2304.p 2304h $[0, 0, 0, 72, 0]$ $0$ $[2]$
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