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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
10001.a1 10001a2 10001.a 10001a $[1, -1, 0, -53959, 4720704]$ $1$ $[2]$
10001.a2 10001a1 10001.a 10001a $[1, -1, 0, -53594, 4788959]$ $1$ $[2]$
10002.a1 10002c1 10002.a 10002c $[1, 1, 0, -101, -435]$ $0$ $[2]$
10002.a2 10002c2 10002.a 10002c $[1, 1, 0, -61, -731]$ $0$ $[2]$
10002.b1 10002b1 10002.b 10002b $[1, 1, 0, -810, 8532]$ $0$ trivial
10002.c1 10002a1 10002.c 10002a $[1, 1, 0, -1804, 32080]$ $1$ trivial
10002.d1 10002d1 10002.d 10002d $[1, 1, 1, -354, 2415]$ $1$ trivial
10002.e1 10002e1 10002.e 10002e $[1, 0, 0, -37, -7]$ $1$ trivial
10003.a1 10003a1 10003.a 10003a $[1, 1, 1, 52, 208]$ $0$ trivial
10004.a1 10004a1 10004.a 10004a $[0, 0, 0, -536, -4508]$ $1$ trivial
10005.a1 10005k1 10005.a 10005k $[0, 1, 1, -31666, -2179460]$ $1$ trivial
10005.b1 10005h2 10005.b 10005h $[1, 1, 1, -1380, 19152]$ $1$ $[2]$
10005.b2 10005h1 10005.b 10005h $[1, 1, 1, -75, 360]$ $1$ $[2]$
10005.c1 10005f1 10005.c 10005f $[1, 1, 1, -40, 80]$ $1$ $[2]$
10005.c2 10005f2 10005.c 10005f $[1, 1, 1, -15, 210]$ $1$ $[2]$
10005.d1 10005e3 10005.d 10005e $[1, 1, 1, -1334000, -593592940]$ $1$ $[2]$
10005.d2 10005e2 10005.d 10005e $[1, 1, 1, -83375, -9300940]$ $1$ $[2, 2]$
10005.d3 10005e4 10005.d 10005e $[1, 1, 1, -82750, -9446440]$ $1$ $[2]$
10005.d4 10005e1 10005.d 10005e $[1, 1, 1, -5250, -144690]$ $1$ $[4]$
10005.e1 10005a1 10005.e 10005a $[0, -1, 1, -51, -124]$ $1$ trivial
10005.f1 10005b1 10005.f 10005b $[0, -1, 1, -609991, 183560811]$ $1$ trivial
10005.g1 10005m1 10005.g 10005m $[0, 1, 1, -104207741, 135268278965]$ $1$ trivial
10005.h1 10005i2 10005.h 10005i $[0, 1, 1, -2379061, -1411043480]$ $1$ trivial
10005.h2 10005i1 10005.h 10005i $[0, 1, 1, -124021, 14938111]$ $1$ $[3]$
10005.i1 10005l1 10005.i 10005l $[0, 1, 1, -10597711, -13282563134]$ $1$ trivial
10005.j1 10005n1 10005.j 10005n $[0, 1, 1, -1305, 12506]$ $0$ trivial
10005.k1 10005d4 10005.k 10005d $[1, 1, 0, -5537, 156294]$ $1$ $[4]$
10005.k2 10005d3 10005.k 10005d $[1, 1, 0, -1667, -24804]$ $1$ $[2]$
10005.k3 10005d2 10005.k 10005d $[1, 1, 0, -362, 2079]$ $1$ $[2, 2]$
10005.k4 10005d1 10005.k 10005d $[1, 1, 0, 43, 216]$ $1$ $[2]$
10005.l1 10005g2 10005.l 10005g $[1, 1, 0, -112452, -14561001]$ $1$ $[2]$
10005.l2 10005g1 10005.l 10005g $[1, 1, 0, -6747, -248544]$ $1$ $[2]$
10005.m1 10005j1 10005.m 10005j $[1, 0, 1, -374, 2747]$ $1$ $[2]$
10005.m2 10005j2 10005.m 10005j $[1, 0, 1, -349, 3137]$ $1$ $[2]$
10005.n1 10005c1 10005.n 10005c $[0, -1, 1, -16, -3]$ $1$ trivial
10008.a1 10008e1 10008.a 10008e $[0, 0, 0, -285267, -58644610]$ $1$ trivial
10008.b1 10008g1 10008.b 10008g $[0, 0, 0, 6, 61]$ $1$ trivial
10008.c1 10008d1 10008.c 10008d $[0, 0, 0, 42, -151]$ $1$ trivial
10008.d1 10008c1 10008.d 10008c $[0, 0, 0, 117, 54]$ $1$ trivial
10008.e1 10008a1 10008.e 10008a $[0, 0, 0, -435, -4322]$ $0$ trivial
10008.f1 10008f1 10008.f 10008f $[0, 0, 0, -11235, -458354]$ $1$ $[2]$
10008.f2 10008f2 10008.f 10008f $[0, 0, 0, -10875, -489098]$ $1$ $[2]$
10008.g1 10008b1 10008.g 10008b $[0, 0, 0, -111, -862]$ $0$ trivial
10008.h1 10008h1 10008.h 10008h $[0, 0, 0, -8211, 289118]$ $0$ trivial
10010.a1 10010f4 10010.a 10010f $[1, 0, 1, -78985959, -270129426454]$ $0$ $[2]$
10010.a2 10010f3 10010.a 10010f $[1, 0, 1, -5585639, -3040342038]$ $0$ $[2]$
10010.a3 10010f2 10010.a 10010f $[1, 0, 1, -2633144, 1164731142]$ $0$ $[6]$
10010.a4 10010f1 10010.a 10010f $[1, 0, 1, -2413624, 1442906886]$ $0$ $[6]$
10010.b1 10010h2 10010.b 10010h $[1, 0, 1, -463, 2538]$ $1$ $[2]$
10010.b2 10010h1 10010.b 10010h $[1, 0, 1, -183, -934]$ $1$ $[2]$
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