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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
504.a1 504a2 504.a 504a $[0, 0, 0, -111, 450]$ $1$ $[2]$
504.a2 504a1 504.a 504a $[0, 0, 0, -6, 9]$ $1$ $[2]$
504.b1 504f3 504.b 504f $[0, 0, 0, -1371, -19514]$ $1$ $[2]$
504.b2 504f2 504.b 504f $[0, 0, 0, -111, -110]$ $1$ $[2, 2]$
504.b3 504f1 504.b 504f $[0, 0, 0, -66, 205]$ $1$ $[4]$
504.b4 504f4 504.b 504f $[0, 0, 0, 429, -866]$ $1$ $[2]$
504.c1 504c3 504.c 504c $[0, 0, 0, -2691, -53730]$ $0$ $[2]$
504.c2 504c4 504.c 504c $[0, 0, 0, -531, 3726]$ $0$ $[2]$
504.c3 504c2 504.c 504c $[0, 0, 0, -171, -810]$ $0$ $[2, 2]$
504.c4 504c1 504.c 504c $[0, 0, 0, 9, -54]$ $0$ $[2]$
504.d1 504e1 504.d 504e $[0, 0, 0, -6, 5]$ $1$ $[2]$
504.d2 504e2 504.d 504e $[0, 0, 0, 9, 26]$ $1$ $[2]$
504.e1 504g3 504.e 504g $[0, 0, 0, -36291, -2661010]$ $0$ $[2]$
504.e2 504g4 504.e 504g $[0, 0, 0, -3531, 9686]$ $0$ $[2]$
504.e3 504g2 504.e 504g $[0, 0, 0, -2271, -41470]$ $0$ $[2, 2]$
504.e4 504g1 504.e 504g $[0, 0, 0, -66, -1339]$ $0$ $[4]$
504.f1 504d2 504.f 504d $[0, 0, 0, -999, -12150]$ $0$ $[2]$
504.f2 504d1 504.f 504d $[0, 0, 0, -54, -243]$ $0$ $[2]$
504.g1 504b1 504.g 504b $[0, 0, 0, -54, -135]$ $0$ $[2]$
504.g2 504b2 504.g 504b $[0, 0, 0, 81, -702]$ $0$ $[2]$
504.h1 504h2 504.h 504h $[0, 0, 0, -363, 2630]$ $0$ $[2]$
504.h2 504h1 504.h 504h $[0, 0, 0, -3, 110]$ $0$ $[2]$
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