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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
47040.a1 47040w1 47040.a 47040w $[0, -1, 0, -3350881, 1347539425]$ $0$ $[2]$
47040.a2 47040w2 47040.a 47040w $[0, -1, 0, 10698399, 9695621601]$ $0$ $[2]$
47040.b1 47040es1 47040.b 47040es $[0, -1, 0, -167841, 26479041]$ $1$ $[2]$
47040.b2 47040es2 47040.b 47040es $[0, -1, 0, -112961, 44029665]$ $1$ $[2]$
47040.c1 47040dy1 47040.c 47040dy $[0, -1, 0, -191361, -37001439]$ $0$ trivial
47040.d1 47040eq4 47040.d 47040eq $[0, -1, 0, -4370081, 2178798945]$ $1$ $[2]$
47040.d2 47040eq2 47040.d 47040eq $[0, -1, 0, -3889881, 2953553625]$ $1$ $[2, 2]$
47040.d3 47040eq1 47040.d 47040eq $[0, -1, 0, -3889636, 2953944106]$ $1$ $[2]$
47040.d4 47040eq3 47040.d 47040eq $[0, -1, 0, -3413601, 3703313601]$ $1$ $[2]$
47040.e1 47040ep4 47040.e 47040ep $[0, -1, 0, -567681, 164800161]$ $1$ $[2]$
47040.e2 47040ep2 47040.e 47040ep $[0, -1, 0, -38481, 2124081]$ $1$ $[2, 2]$
47040.e3 47040ep1 47040.e 47040ep $[0, -1, 0, -13981, -605219]$ $1$ $[2]$
47040.e4 47040ep3 47040.e 47040ep $[0, -1, 0, 98719, 13731201]$ $1$ $[2]$
47040.f1 47040p4 47040.f 47040p $[0, -1, 0, -63507201, -194775968799]$ $0$ $[2]$
47040.f2 47040p3 47040.f 47040p $[0, -1, 0, -5687201, -157376799]$ $0$ $[2]$
47040.f3 47040p2 47040.f 47040p $[0, -1, 0, -3972201, -3037547799]$ $0$ $[2, 2]$
47040.f4 47040p1 47040.f 47040p $[0, -1, 0, -144076, -87594674]$ $0$ $[2]$
47040.g1 47040q4 47040.g 47040q $[0, -1, 0, -340321, -71826719]$ $0$ $[2]$
47040.g2 47040q2 47040.g 47040q $[0, -1, 0, -65921, 5169921]$ $0$ $[2, 2]$
47040.g3 47040q1 47040.g 47040q $[0, -1, 0, -62001, 5962545]$ $0$ $[2]$
47040.g4 47040q3 47040.g 47040q $[0, -1, 0, 145759, 31375905]$ $0$ $[2]$
47040.h1 47040eo4 47040.h 47040eo $[0, -1, 0, -12852961, -17730783839]$ $1$ $[2]$
47040.h2 47040eo2 47040.h 47040eo $[0, -1, 0, -847961, -244300839]$ $1$ $[2, 2]$
47040.h3 47040eo1 47040.h 47040eo $[0, -1, 0, -259716, 47586330]$ $1$ $[2]$
47040.h4 47040eo3 47040.h 47040eo $[0, -1, 0, 1745119, -1448008575]$ $1$ $[2]$
47040.i1 47040r4 47040.i 47040r $[0, -1, 0, -97281, 6534081]$ $0$ $[2]$
47040.i2 47040r2 47040.i 47040r $[0, -1, 0, -44361, -3510135]$ $0$ $[2, 2]$
47040.i3 47040r1 47040.i 47040r $[0, -1, 0, -44116, -3551834]$ $0$ $[2]$
47040.i4 47040r3 47040.i 47040r $[0, -1, 0, 4639, -10889535]$ $0$ $[2]$
47040.j1 47040s2 47040.j 47040s $[0, -1, 0, -401, -2799]$ $0$ $[2]$
47040.j2 47040s1 47040.j 47040s $[0, -1, 0, 19, -195]$ $0$ $[2]$
47040.k1 47040k1 47040.k 47040k $[0, -1, 0, 159, 225]$ $2$ trivial
47040.l1 47040b1 47040.l 47040b $[0, -1, 0, -716641, 233749825]$ $1$ trivial
47040.m1 47040dw1 47040.m 47040dw $[0, -1, 0, 3659, -635795]$ $0$ trivial
47040.n1 47040i1 47040.n 47040i $[0, -1, 0, -796021, -181486955]$ $0$ $[2]$
47040.n2 47040i2 47040.n 47040i $[0, -1, 0, 2266479, -1242949455]$ $0$ $[2]$
47040.o1 47040j1 47040.o 47040j $[0, -1, 0, -1381, 420925]$ $0$ trivial
47040.p1 47040dv1 47040.p 47040dv $[0, -1, 0, 1643199, -25552880415]$ $0$ trivial
47040.q1 47040eg4 47040.q 47040eg $[0, -1, 0, -42401, -3344319]$ $1$ $[2]$
47040.q2 47040eg3 47040.q 47040eg $[0, -1, 0, -26721, 1670145]$ $1$ $[2]$
47040.q3 47040eg2 47040.q 47040eg $[0, -1, 0, -3201, -27999]$ $1$ $[2, 2]$
47040.q4 47040eg1 47040.q 47040eg $[0, -1, 0, 719, -3695]$ $1$ $[2]$
47040.r1 47040e4 47040.r 47040e $[0, -1, 0, -732321, 241456545]$ $2$ $[2]$
47040.r2 47040e3 47040.r 47040e $[0, -1, 0, -128641, -12956159]$ $2$ $[2]$
47040.r3 47040e2 47040.r 47040e $[0, -1, 0, -46321, 3688945]$ $2$ $[2, 2]$
47040.r4 47040e1 47040.r 47040e $[0, -1, 0, 1699, 221901]$ $2$ $[2]$
47040.s1 47040dz2 47040.s 47040dz $[0, -1, 0, -821, -8805]$ $1$ trivial
47040.s2 47040dz1 47040.s 47040dz $[0, -1, 0, 19, -69]$ $1$ trivial
47040.t1 47040du1 47040.t 47040du $[0, -1, 0, 140859, 23494941]$ $0$ trivial
47040.u1 47040ee7 47040.u 47040ee $[0, -1, 0, -16725921, -26323353279]$ $1$ $[2]$
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