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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
121680.a1 121680el1 121680.a 121680el $[0, 0, 0, -4368, 150748]$ $2$ trivial
121680.b1 121680ee1 121680.b 121680ee $[0, 0, 0, -712803, -231634078]$ $1$ trivial
121680.c1 121680z4 121680.c 121680z $[0, 0, 0, -2519283, -1533273118]$ $2$ $[2]$
121680.c2 121680z2 121680.c 121680z $[0, 0, 0, -237783, 3088982]$ $2$ $[2, 2]$
121680.c3 121680z1 121680.c 121680z $[0, 0, 0, -169338, 26757263]$ $2$ $[2]$
121680.c4 121680z3 121680.c 121680z $[0, 0, 0, 948597, 24681098]$ $2$ $[2]$
121680.d1 121680eb1 121680.d 121680eb $[0, 0, 0, -24843, 320762]$ $1$ $[2]$
121680.d2 121680eb2 121680.d 121680eb $[0, 0, 0, 96837, 2535338]$ $1$ $[2]$
121680.e1 121680dz7 121680.e 121680dz $[0, 0, 0, -129796563, -569171178862]$ $1$ $[2]$
121680.e2 121680dz8 121680.e 121680dz $[0, 0, 0, -11036883, -1920823918]$ $1$ $[2]$
121680.e3 121680dz6 121680.e 121680dz $[0, 0, 0, -8116563, -8883450862]$ $1$ $[2, 2]$
121680.e4 121680dz5 121680.e 121680dz $[0, 0, 0, -7021443, 7161152258]$ $1$ $[2]$
121680.e5 121680dz4 121680.e 121680dz $[0, 0, 0, -1667523, -713879998]$ $1$ $[2]$
121680.e6 121680dz2 121680.e 121680dz $[0, 0, 0, -450723, 105513122]$ $1$ $[2, 2]$
121680.e7 121680dz3 121680.e 121680dz $[0, 0, 0, -329043, -237746158]$ $1$ $[2]$
121680.e8 121680dz1 121680.e 121680dz $[0, 0, 0, 35997, 8071778]$ $1$ $[2]$
121680.f1 121680cp2 121680.f 121680cp $[0, 0, 0, -4567563, 3588918138]$ $1$ $[2]$
121680.f2 121680cp1 121680.f 121680cp $[0, 0, 0, 177957, 220548042]$ $1$ $[2]$
121680.g1 121680cm4 121680.g 121680cm $[0, 0, 0, -12233403, -9864631062]$ $0$ $[2]$
121680.g2 121680cm2 121680.g 121680cm $[0, 0, 0, -10813803, -13687235302]$ $0$ $[2]$
121680.g3 121680cm1 121680.g 121680cm $[0, 0, 0, -673803, -215231302]$ $0$ $[2]$
121680.g4 121680cm3 121680.g 121680cm $[0, 0, 0, 2368197, -1094910102]$ $0$ $[2]$
121680.h1 121680ea1 121680.h 121680ea $[0, 0, 0, -20467083, -35634667718]$ $1$ $[2]$
121680.h2 121680ea2 121680.h 121680ea $[0, 0, 0, -18520203, -42685877702]$ $1$ $[2]$
121680.i1 121680be2 121680.i 121680be $[0, 0, 0, -614523, -185268278]$ $1$ $[2]$
121680.i2 121680be1 121680.i 121680be $[0, 0, 0, -29523, -4269278]$ $1$ $[2]$
121680.j1 121680cn1 121680.j 121680cn $[0, 0, 0, 117, 442]$ $2$ trivial
121680.k1 121680bd1 121680.k 121680bd $[0, 0, 0, -2557308, -1587648868]$ $1$ trivial
121680.l1 121680w1 121680.l 121680w $[0, 0, 0, -3783, 89557]$ $2$ trivial
121680.m1 121680e1 121680.m 121680e $[0, 0, 0, 281892, -1495620932]$ $1$ trivial
121680.n1 121680x1 121680.n 121680x $[0, 0, 0, -85683, 371293]$ $0$ trivial
121680.o1 121680dx1 121680.o 121680dx $[0, 0, 0, -19773, 771147]$ $1$ trivial
121680.p1 121680bc1 121680.p 121680bc $[0, 0, 0, -88569858, 285543252943]$ $1$ $[2]$
121680.p2 121680bc2 121680.p 121680bc $[0, 0, 0, 127647897, 1462157032102]$ $1$ $[2]$
121680.q1 121680ej2 121680.q 121680ej $[0, 0, 0, -42004443, 104776656842]$ $0$ $[2]$
121680.q2 121680ej1 121680.q 121680ej $[0, 0, 0, -2458443, 1854237242]$ $0$ $[2]$
121680.r1 121680ds1 121680.r 121680ds $[0, 0, 0, -123708, 1606007]$ $1$ $[2]$
121680.r2 121680ds2 121680.r 121680ds $[0, 0, 0, 492297, 12817298]$ $1$ $[2]$
121680.s1 121680dk2 121680.s 121680dk $[0, 0, 0, -463008, -149682832]$ $1$ trivial
121680.s2 121680dk1 121680.s 121680dk $[0, 0, 0, 42432, 1746992]$ $1$ trivial
121680.t1 121680dj1 121680.t 121680dj $[0, 0, 0, -1614288, -1240197712]$ $1$ trivial
121680.u1 121680ch1 121680.u 121680ch $[0, 0, 0, -113568, -14798992]$ $0$ trivial
121680.u2 121680ch2 121680.u 121680ch $[0, 0, 0, 292032, -78775632]$ $0$ trivial
121680.v1 121680dh2 121680.v 121680dh $[0, 0, 0, -336648, -85849972]$ $1$ trivial
121680.v2 121680dh1 121680.v 121680dh $[0, 0, 0, 28392, 518492]$ $1$ trivial
121680.w1 121680dg2 121680.w 121680dg $[0, 0, 0, -2613, -50713]$ $1$ trivial
121680.w2 121680dg1 121680.w 121680dg $[0, 0, 0, -273, 1703]$ $1$ trivial
121680.x1 121680di1 121680.x 121680di $[0, 0, 0, -1443, 22178]$ $1$ trivial
121680.x2 121680di2 121680.x 121680di $[0, 0, 0, 7917, 35282]$ $1$ trivial
121680.y1 121680cg1 121680.y 121680cg $[0, 0, 0, 8112, 1748812]$ $2$ trivial
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