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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
13680.a1 13680bh4 13680.a 13680bh $[0, 0, 0, -437763, 111482498]$ $2$ $[2]$
13680.a2 13680bh3 13680.a 13680bh $[0, 0, 0, -31683, 1154882]$ $2$ $[2]$
13680.a3 13680bh2 13680.a 13680bh $[0, 0, 0, -27363, 1741538]$ $2$ $[2, 2]$
13680.a4 13680bh1 13680.a 13680bh $[0, 0, 0, -1443, 36002]$ $2$ $[2]$
13680.b1 13680s2 13680.b 13680s $[0, 0, 0, -183, 358]$ $1$ $[2]$
13680.b2 13680s1 13680.b 13680s $[0, 0, 0, 42, 43]$ $1$ $[2]$
13680.c1 13680k3 13680.c 13680k $[0, 0, 0, -295563, -61847638]$ $0$ $[2]$
13680.c2 13680k2 13680.c 13680k $[0, 0, 0, -18543, -958642]$ $0$ $[2, 2]$
13680.c3 13680k1 13680.c 13680k $[0, 0, 0, -2298, 19307]$ $0$ $[2]$
13680.c4 13680k4 13680.c 13680k $[0, 0, 0, -1443, -2658382]$ $0$ $[2]$
13680.d1 13680c2 13680.d 13680c $[0, 0, 0, -603, 1898]$ $2$ $[2]$
13680.d2 13680c1 13680.d 13680c $[0, 0, 0, -483, 4082]$ $2$ $[2]$
13680.e1 13680bd4 13680.e 13680bd $[0, 0, 0, -70917123, 229866020098]$ $1$ $[2]$
13680.e2 13680bd3 13680.e 13680bd $[0, 0, 0, -4487043, 3498419842]$ $1$ $[2]$
13680.e3 13680bd2 13680.e 13680bd $[0, 0, 0, -4432323, 3591651778]$ $1$ $[2, 2]$
13680.e4 13680bd1 13680.e 13680bd $[0, 0, 0, -273603, 57571522]$ $1$ $[2]$
13680.f1 13680q3 13680.f 13680q $[0, 0, 0, -4323, 101522]$ $1$ $[2]$
13680.f2 13680q2 13680.f 13680q $[0, 0, 0, -903, -8602]$ $1$ $[2, 2]$
13680.f3 13680q1 13680.f 13680q $[0, 0, 0, -858, -9673]$ $1$ $[2]$
13680.f4 13680q4 13680.f 13680q $[0, 0, 0, 1797, -50182]$ $1$ $[2]$
13680.g1 13680r2 13680.g 13680r $[0, 0, 0, -3749943, -2795021242]$ $1$ $[2]$
13680.g2 13680r1 13680.g 13680r $[0, 0, 0, -234318, -43693117]$ $1$ $[2]$
13680.h1 13680bg3 13680.h 13680bg $[0, 0, 0, -865083, -309693782]$ $0$ $[2]$
13680.h2 13680bg4 13680.h 13680bg $[0, 0, 0, -178203, 23448202]$ $0$ $[2]$
13680.h3 13680bg2 13680.h 13680bg $[0, 0, 0, -55083, -4647782]$ $0$ $[2, 2]$
13680.h4 13680bg1 13680.h 13680bg $[0, 0, 0, 3237, -320438]$ $0$ $[2]$
13680.i1 13680i2 13680.i 13680i $[0, 0, 0, -661683, 127564882]$ $0$ $[2]$
13680.i2 13680i1 13680.i 13680i $[0, 0, 0, 125637, 14033338]$ $0$ $[2]$
13680.j1 13680bc4 13680.j 13680bc $[0, 0, 0, -1076763, -415287862]$ $1$ $[2]$
13680.j2 13680bc2 13680.j 13680bc $[0, 0, 0, -158763, 24174938]$ $1$ $[2]$
13680.j3 13680bc1 13680.j 13680bc $[0, 0, 0, -3243, 878042]$ $1$ $[2]$
13680.j4 13680bc3 13680.j 13680bc $[0, 0, 0, 29157, -23570998]$ $1$ $[2]$
13680.k1 13680j2 13680.k 13680j $[0, 0, 0, -3603, -83198]$ $0$ $[2]$
13680.k2 13680j1 13680.k 13680j $[0, 0, 0, -183, -1802]$ $0$ $[2]$
13680.l1 13680n4 13680.l 13680n $[0, 0, 0, -18243, 948402]$ $1$ $[2]$
13680.l2 13680n3 13680.l 13680n $[0, 0, 0, -2043, -11718]$ $1$ $[2]$
13680.l3 13680n2 13680.l 13680n $[0, 0, 0, -1143, 14742]$ $1$ $[2, 2]$
13680.l4 13680n1 13680.l 13680n $[0, 0, 0, -18, 567]$ $1$ $[2]$
13680.m1 13680h1 13680.m 13680h $[0, 0, 0, -318, 1883]$ $0$ $[2]$
13680.m2 13680h2 13680.m 13680h $[0, 0, 0, 537, 10262]$ $0$ $[2]$
13680.n1 13680g4 13680.n 13680g $[0, 0, 0, -273603, 55084498]$ $0$ $[4]$
13680.n2 13680g3 13680.n 13680g $[0, 0, 0, -20523, 491722]$ $0$ $[2]$
13680.n3 13680g2 13680.n 13680g $[0, 0, 0, -17103, 860398]$ $0$ $[2, 2]$
13680.n4 13680g1 13680.n 13680g $[0, 0, 0, -858, 18907]$ $0$ $[2]$
13680.o1 13680a2 13680.o 13680a $[0, 0, 0, -12003, -487998]$ $0$ $[2]$
13680.o2 13680a1 13680.o 13680a $[0, 0, 0, -11883, -498582]$ $0$ $[2]$
13680.p1 13680m5 13680.p 13680m $[0, 0, 0, -6238083, -5996872798]$ $1$ $[2]$
13680.p2 13680m3 13680.p 13680m $[0, 0, 0, -389883, -93699718]$ $1$ $[2, 2]$
13680.p3 13680m6 13680.p 13680m $[0, 0, 0, -373683, -101841838]$ $1$ $[2]$
13680.p4 13680m4 13680.p 13680m $[0, 0, 0, -110883, 12908882]$ $1$ $[2]$
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