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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
53312.a1 53312bn1 53312.a 53312bn $[0, 0, 0, -1372, 19600]$ $2$ trivial
53312.b1 53312cn1 53312.b 53312cn $[0, 0, 0, -4792396, 14555399824]$ $0$ trivial
53312.c1 53312bm1 53312.c 53312bm $[0, 0, 0, -17836, -2266544]$ $0$ trivial
53312.d1 53312bf1 53312.d 53312bf $[0, 0, 0, -364, -6608]$ $1$ trivial
53312.e1 53312i1 53312.e 53312i $[0, 0, 0, -97804, 42435568]$ $1$ trivial
53312.f1 53312bg1 53312.f 53312bg $[0, 0, 0, -67228, 6722800]$ $1$ trivial
53312.g1 53312bd2 53312.g 53312bd $[0, 1, 0, -2195265, -1250122721]$ $1$ $[2]$
53312.g2 53312bd1 53312.g 53312bd $[0, 1, 0, -188225, -3750881]$ $1$ $[2]$
53312.h1 53312bk1 53312.h 53312bk $[0, 1, 0, -14177, -740321]$ $0$ trivial
53312.h2 53312bk2 53312.h 53312bk $[0, 1, 0, 95583, 2881759]$ $0$ trivial
53312.i1 53312p1 53312.i 53312p $[0, 1, 0, -849, -4145]$ $0$ $[2]$
53312.i2 53312p2 53312.i 53312p $[0, 1, 0, 3071, -28449]$ $0$ $[2]$
53312.j1 53312bb1 53312.j 53312bb $[0, 1, 0, -3201, -608609]$ $1$ trivial
53312.k1 53312ba4 53312.k 53312ba $[0, 1, 0, -354433, 56005599]$ $1$ $[2]$
53312.k2 53312ba3 53312.k 53312ba $[0, 1, 0, -323073, 70562911]$ $1$ $[2]$
53312.k3 53312ba2 53312.k 53312ba $[0, 1, 0, -134913, -19114145]$ $1$ $[2]$
53312.k4 53312ba1 53312.k 53312ba $[0, 1, 0, -9473, -222881]$ $1$ $[2]$
53312.l1 53312ch2 53312.l 53312ch $[0, 1, 0, -87873, 1174207]$ $2$ $[2]$
53312.l2 53312ch1 53312.l 53312ch $[0, 1, 0, -56513, -5166785]$ $2$ $[2]$
53312.m1 53312cg2 53312.m 53312cg $[0, 1, 0, -9473, 336895]$ $2$ $[2]$
53312.m2 53312cg1 53312.m 53312cg $[0, 1, 0, -1633, -19041]$ $2$ $[2]$
53312.n1 53312ci2 53312.n 53312ci $[0, 1, 0, -56513, 4514047]$ $0$ $[2]$
53312.n2 53312ci1 53312.n 53312ci $[0, 1, 0, -54553, 4886055]$ $0$ $[2]$
53312.o1 53312f1 53312.o 53312f $[0, 1, 0, -65, -1793]$ $1$ trivial
53312.p1 53312bw2 53312.p 53312bw $[0, 1, 0, -4377, 109927]$ $1$ $[2]$
53312.p2 53312bw1 53312.p 53312bw $[0, 1, 0, -212, 2470]$ $1$ $[2]$
53312.q1 53312bc1 53312.q 53312bc $[0, 1, 0, -289, -2241]$ $1$ trivial
53312.q2 53312bc2 53312.q 53312bc $[0, 1, 0, 1951, 8959]$ $1$ trivial
53312.r1 53312ck2 53312.r 53312ck $[0, 1, 0, -403041, -18841313]$ $0$ $[2]$
53312.r2 53312ck1 53312.r 53312ck $[0, 1, 0, 98719, -2283233]$ $0$ $[2]$
53312.s1 53312cj2 53312.s 53312cj $[0, 1, 0, -3201, -48833]$ $0$ $[2]$
53312.s2 53312cj1 53312.s 53312cj $[0, 1, 0, -1241, 15847]$ $0$ $[2]$
53312.t1 53312ca1 53312.t 53312ca $[0, -1, 0, -17425, 1249361]$ $2$ trivial
53312.u1 53312v1 53312.u 53312v $[0, -1, 0, -289, 2465]$ $1$ trivial
53312.v1 53312bi1 53312.v 53312bi $[0, -1, 0, 2287, 43345]$ $2$ trivial
53312.w1 53312u1 53312.w 53312u $[0, -1, 0, 47, 113]$ $1$ trivial
53312.x1 53312bj1 53312.x 53312bj $[0, -1, 0, -14177, 817153]$ $0$ trivial
53312.y1 53312c1 53312.y 53312c $[0, -1, 0, -853841, 426823153]$ $1$ trivial
53312.z1 53312bx2 53312.z 53312bx $[0, 0, 0, -25676, 696976]$ $0$ $[2]$
53312.z2 53312bx1 53312.z 53312bx $[0, 0, 0, 5684, 82320]$ $0$ $[2]$
53312.ba1 53312o4 53312.ba 53312o $[0, 0, 0, -284396, 58375856]$ $2$ $[2]$
53312.ba2 53312o2 53312.ba 53312o $[0, 0, 0, -17836, 905520]$ $2$ $[2, 2]$
53312.ba3 53312o1 53312.ba 53312o $[0, 0, 0, -2156, -16464]$ $2$ $[2]$
53312.ba4 53312o3 53312.ba 53312o $[0, 0, 0, -2156, 2442160]$ $2$ $[2]$
53312.bb1 53312bt4 53312.bb 53312bt $[0, 0, 0, -284396, -58375856]$ $1$ $[2]$
53312.bb2 53312bt2 53312.bb 53312bt $[0, 0, 0, -17836, -905520]$ $1$ $[2, 2]$
53312.bb3 53312bt3 53312.bb 53312bt $[0, 0, 0, -2156, -2442160]$ $1$ $[2]$
53312.bb4 53312bt1 53312.bb 53312bt $[0, 0, 0, -2156, 16464]$ $1$ $[2]$
53312.bc1 53312s2 53312.bc 53312s $[0, 0, 0, -25676, -696976]$ $1$ $[2]$
53312.bc2 53312s1 53312.bc 53312s $[0, 0, 0, 5684, -82320]$ $1$ $[2]$
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