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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
1728.a1 1728l1 1728.a 1728l $[0, 0, 0, -432, -4320]$ $0$ trivial
1728.b1 1728u1 1728.b 1728u $[0, 0, 0, -432, 4320]$ $0$ trivial
1728.c1 1728e3 1728.c 1728e $[0, 0, 0, -7884, -357264]$ $1$ trivial
1728.c2 1728e1 1728.c 1728e $[0, 0, 0, -204, 1136]$ $1$ trivial
1728.c3 1728e2 1728.c 1728e $[0, 0, 0, 756, 5616]$ $1$ trivial
1728.d1 1728bb3 1728.d 1728bb $[0, 0, 0, -7884, 357264]$ $1$ trivial
1728.d2 1728bb1 1728.d 1728bb $[0, 0, 0, -204, -1136]$ $1$ trivial
1728.d3 1728bb2 1728.d 1728bb $[0, 0, 0, 756, -5616]$ $1$ trivial
1728.e1 1728ba1 1728.e 1728ba $[0, 0, 0, -6, 6]$ $1$ trivial
1728.f1 1728d1 1728.f 1728d $[0, 0, 0, 54, -54]$ $1$ trivial
1728.g1 1728i1 1728.g 1728i $[0, 0, 0, 54, 54]$ $0$ trivial
1728.h1 1728r1 1728.h 1728r $[0, 0, 0, -6, -6]$ $0$ trivial
1728.i1 1728p1 1728.i 1728p $[0, 0, 0, -108, -7344]$ $0$ trivial
1728.j1 1728o1 1728.j 1728o $[0, 0, 0, -108, -1296]$ $0$ trivial
1728.k1 1728y1 1728.k 1728y $[0, 0, 0, -108, 1296]$ $1$ trivial
1728.l1 1728g1 1728.l 1728g $[0, 0, 0, -108, 7344]$ $0$ trivial
1728.m1 1728m1 1728.m 1728m $[0, 0, 0, 0, -32]$ $0$ trivial
1728.m2 1728m2 1728.m 1728m $[0, 0, 0, 0, 864]$ $0$ trivial
1728.n1 1728a4 1728.n 1728a $[0, 0, 0, -1080, -13662]$ $1$ trivial
1728.n2 1728a3 1728.n 1728a $[0, 0, 0, -120, 506]$ $1$ trivial
1728.n3 1728a2 1728.n 1728a $[0, 0, 0, 0, -54]$ $1$ trivial
1728.n4 1728a1 1728.n 1728a $[0, 0, 0, 0, 2]$ $1$ trivial
1728.o1 1728v4 1728.o 1728v $[0, 0, 0, -1080, 13662]$ $1$ trivial
1728.o2 1728v2 1728.o 1728v $[0, 0, 0, -120, -506]$ $1$ trivial
1728.o3 1728v1 1728.o 1728v $[0, 0, 0, 0, -2]$ $1$ trivial
1728.o4 1728v3 1728.o 1728v $[0, 0, 0, 0, 54]$ $1$ trivial
1728.p1 1728f2 1728.p 1728f $[0, 0, 0, 0, -864]$ $0$ trivial
1728.p2 1728f1 1728.p 1728f $[0, 0, 0, 0, 32]$ $0$ trivial
1728.q1 1728w1 1728.q 1728w $[0, 0, 0, -12, 48]$ $1$ trivial
1728.r1 1728x1 1728.r 1728x $[0, 0, 0, -12, 272]$ $1$ trivial
1728.s1 1728b1 1728.s 1728b $[0, 0, 0, -12, -272]$ $1$ trivial
1728.t1 1728n1 1728.t 1728n $[0, 0, 0, -12, -48]$ $0$ trivial
1728.u1 1728z1 1728.u 1728z $[0, 0, 0, -54, -162]$ $1$ trivial
1728.v1 1728c1 1728.v 1728c $[0, 0, 0, 6, 2]$ $1$ trivial
1728.w1 1728h1 1728.w 1728h $[0, 0, 0, 6, -2]$ $0$ trivial
1728.x1 1728q1 1728.x 1728q $[0, 0, 0, -54, 162]$ $0$ trivial
1728.y1 1728j2 1728.y 1728j $[0, 0, 0, -1836, -30672]$ $0$ trivial
1728.y2 1728j3 1728.y 1728j $[0, 0, 0, -876, 13232]$ $0$ trivial
1728.y3 1728j1 1728.y 1728j $[0, 0, 0, 84, -208]$ $0$ trivial
1728.z1 1728s3 1728.z 1728s $[0, 0, 0, -1836, 30672]$ $0$ trivial
1728.z2 1728s2 1728.z 1728s $[0, 0, 0, -876, -13232]$ $0$ trivial
1728.z3 1728s1 1728.z 1728s $[0, 0, 0, 84, 208]$ $0$ trivial
1728.ba1 1728k1 1728.ba 1728k $[0, 0, 0, -48, 160]$ $0$ trivial
1728.bb1 1728t1 1728.bb 1728t $[0, 0, 0, -48, -160]$ $0$ trivial
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