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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
1001.a1 1001c1 1001.a 1001c $[0, 0, 1, -199, 1092]$ $2$ trivial
1001.b1 1001b3 1001.b 1001b $[1, -1, 1, -9916, -377564]$ $0$ $[2]$
1001.b2 1001b4 1001.b 1001b $[1, -1, 1, -1006, 2552]$ $0$ $[2]$
1001.b3 1001b2 1001.b 1001b $[1, -1, 1, -621, -5764]$ $0$ $[2, 2]$
1001.b4 1001b1 1001.b 1001b $[1, -1, 1, -16, -198]$ $0$ $[4]$
1001.c1 1001a1 1001.c 1001a $[0, -1, 1, -15881, 778423]$ $1$ trivial
1002.a1 1002a2 1002.a 1002a $[1, 1, 0, -860, -10074]$ $0$ $[2]$
1002.a2 1002a1 1002.a 1002a $[1, 1, 0, -50, -192]$ $0$ $[2]$
1002.b1 1002b1 1002.b 1002b $[1, 1, 0, 564, 1872]$ $0$ trivial
1002.c1 1002c1 1002.c 1002c $[1, 0, 1, -3264, 71590]$ $1$ trivial
1002.d1 1002d2 1002.d 1002d $[1, 0, 1, -125, -544]$ $1$ $[2]$
1002.d2 1002d1 1002.d 1002d $[1, 0, 1, -5, -16]$ $1$ $[2]$
1002.e1 1002e1 1002.e 1002e $[1, 0, 0, -27, 81]$ $1$ trivial
1003.a1 1003c1 1003.a 1003c $[1, -1, 1, 63, -332]$ $0$ trivial
1003.b1 1003a1 1003.b 1003a $[0, -1, 1, 1, 1]$ $1$ trivial
1003.c1 1003b1 1003.c 1003b $[1, 0, 1, -8, -11]$ $0$ trivial
1003.d1 1003d1 1003.d 1003d $[0, 0, 1, -41, 135]$ $1$ trivial
1005.a1 1005b2 1005.a 1005b $[0, 1, 1, -3001, -70904]$ $1$ trivial
1005.a2 1005b1 1005.a 1005b $[0, 1, 1, 239, 295]$ $1$ $[3]$
1005.b1 1005a1 1005.b 1005a $[1, 1, 0, -297, -1944]$ $0$ $[2]$
1005.b2 1005a2 1005.b 1005a $[1, 1, 0, 328, -8319]$ $0$ $[2]$
1006.a1 1006b2 1006.a 1006b $[1, -1, 0, -32, 24]$ $0$ $[2]$
1006.a2 1006b1 1006.a 1006b $[1, -1, 0, 8, 0]$ $0$ $[2]$
1006.b1 1006a1 1006.b 1006a $[1, 0, 1, -2, 4]$ $1$ trivial
1006.c1 1006e1 1006.c 1006e $[1, -1, 1, -135, 639]$ $1$ trivial
1006.d1 1006d1 1006.d 1006d $[1, 1, 1, -23, 45]$ $1$ trivial
1006.e1 1006c1 1006.e 1006c $[1, 0, 0, 5, 1]$ $1$ trivial
1007.a1 1007a1 1007.a 1007a $[0, 0, 1, 61, -105]$ $1$ trivial
1008.a1 1008m2 1008.a 1008m $[0, 0, 0, -327, -2270]$ $0$ $[2]$
1008.a2 1008m1 1008.a 1008m $[0, 0, 0, -12, -65]$ $0$ $[2]$
1008.b1 1008e4 1008.b 1008e $[0, 0, 0, -36291, 2661010]$ $0$ $[4]$
1008.b2 1008e3 1008.b 1008e $[0, 0, 0, -3531, -9686]$ $0$ $[2]$
1008.b3 1008e2 1008.b 1008e $[0, 0, 0, -2271, 41470]$ $0$ $[2, 2]$
1008.b4 1008e1 1008.b 1008e $[0, 0, 0, -66, 1339]$ $0$ $[2]$
1008.c1 1008b1 1008.c 1008b $[0, 0, 0, -6, -5]$ $1$ $[2]$
1008.c2 1008b2 1008.c 1008b $[0, 0, 0, 9, -26]$ $1$ $[2]$
1008.d1 1008h4 1008.d 1008h $[0, 0, 0, -2691, 53730]$ $1$ $[2]$
1008.d2 1008h3 1008.d 1008h $[0, 0, 0, -531, -3726]$ $1$ $[2]$
1008.d3 1008h2 1008.d 1008h $[0, 0, 0, -171, 810]$ $1$ $[2, 2]$
1008.d4 1008h1 1008.d 1008h $[0, 0, 0, 9, 54]$ $1$ $[2]$
1008.e1 1008g3 1008.e 1008g $[0, 0, 0, -1371, 19514]$ $1$ $[2]$
1008.e2 1008g2 1008.e 1008g $[0, 0, 0, -111, 110]$ $1$ $[2, 2]$
1008.e3 1008g1 1008.e 1008g $[0, 0, 0, -66, -205]$ $1$ $[2]$
1008.e4 1008g4 1008.e 1008g $[0, 0, 0, 429, 866]$ $1$ $[4]$
1008.f1 1008d2 1008.f 1008d $[0, 0, 0, -111, -450]$ $0$ $[2]$
1008.f2 1008d1 1008.f 1008d $[0, 0, 0, -6, -9]$ $0$ $[2]$
1008.g1 1008j4 1008.g 1008j $[0, 0, 0, -16455, -812446]$ $1$ $[2]$
1008.g2 1008j3 1008.g 1008j $[0, 0, 0, -1020, -12913]$ $1$ $[2]$
1008.g3 1008j2 1008.g 1008j $[0, 0, 0, -255, -502]$ $1$ $[2]$
1008.g4 1008j1 1008.g 1008j $[0, 0, 0, 60, -61]$ $1$ $[2]$
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