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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
67270.a1 67270d1 67270.a 67270d $[1, -1, 0, -17101360360, 798392935825216]$ $0$ trivial
67270.b1 67270p1 67270.b 67270p $[1, -1, 0, -5419, -152195]$ $1$ trivial
67270.c1 67270o1 67270.c 67270o $[1, -1, 0, -119344, -15728672]$ $1$ trivial
67270.d1 67270e2 67270.d 67270e $[1, 0, 1, -787499639, -7082553803814]$ $0$ trivial
67270.d2 67270e1 67270.d 67270e $[1, 0, 1, -225492424, 1302307731222]$ $0$ $[3]$
67270.e1 67270m2 67270.e 67270m $[1, 0, 1, -148123, -21954522]$ $1$ $[2]$
67270.e2 67270m1 67270.e 67270m $[1, 0, 1, -9243, -344794]$ $1$ $[2]$
67270.f1 67270v2 67270.f 67270v $[1, 0, 1, -271503, 53790506]$ $0$ $[2]$
67270.f2 67270v1 67270.f 67270v $[1, 0, 1, -2423, 2234778]$ $0$ $[2]$
67270.g1 67270q2 67270.g 67270q $[1, 0, 1, -170598, -27135304]$ $1$ trivial
67270.g2 67270q1 67270.g 67270q $[1, 0, 1, -2423, -25494]$ $1$ $[3]$
67270.h1 67270b1 67270.h 67270b $[1, 1, 0, -128, -128]$ $2$ trivial
67270.i1 67270h3 67270.i 67270h $[1, 1, 0, -20439048, 35551551808]$ $1$ trivial
67270.i2 67270h2 67270.i 67270h $[1, 1, 0, -628033, -125583763]$ $1$ trivial
67270.i3 67270h1 67270.i 67270h $[1, 1, 0, -565568, -163945922]$ $1$ trivial
67270.j1 67270g1 67270.j 67270g $[1, 1, 0, -1315148, 519117502]$ $1$ trivial
67270.k1 67270s2 67270.k 67270s $[1, 1, 0, -4245237, 2613988909]$ $2$ trivial
67270.k2 67270s1 67270.k 67270s $[1, 1, 0, -1386262, -628525996]$ $2$ trivial
67270.l1 67270k1 67270.l 67270k $[1, -1, 0, -2079784, -485280960]$ $1$ $[2]$
67270.l2 67270k2 67270.l 67270k $[1, -1, 0, 7453336, -3694129152]$ $1$ $[2]$
67270.m1 67270j1 67270.m 67270j $[1, -1, 0, -2164, 16848]$ $1$ $[2]$
67270.m2 67270j2 67270.m 67270j $[1, -1, 0, 7756, 122000]$ $1$ $[2]$
67270.n1 67270a1 67270.n 67270a $[1, 0, 1, -123509, 2209792]$ $0$ trivial
67270.o1 67270f1 67270.o 67270f $[1, 0, 1, -1369, -17558]$ $1$ trivial
67270.p1 67270r1 67270.p 67270r $[1, 0, 1, -84108, -8807112]$ $0$ trivial
67270.q1 67270c2 67270.q 67270c $[1, 1, 0, -56238, -3036082]$ $2$ $[2]$
67270.q2 67270c1 67270.q 67270c $[1, 1, 0, 11032, -331828]$ $2$ $[2]$
67270.r1 67270i2 67270.r 67270i $[1, 1, 0, -819458, 237397748]$ $1$ trivial
67270.r2 67270i1 67270.r 67270i $[1, 1, 0, -234643, -43813203]$ $1$ trivial
67270.s1 67270l2 67270.s 67270l $[1, 1, 0, -142345742, 653620120244]$ $1$ $[2]$
67270.s2 67270l1 67270.s 67270l $[1, 1, 0, -8882062, 10245104436]$ $1$ $[2]$
67270.t1 67270u4 67270.t 67270u $[1, 1, 0, -1160717442, 15211741465844]$ $0$ $[2]$
67270.t2 67270u3 67270.t 67270u $[1, 1, 0, -58565762, 332032494836]$ $0$ $[2]$
67270.t3 67270u2 67270.t 67270u $[1, 1, 0, -46558067, -98309308531]$ $0$ $[2]$
67270.t4 67270u1 67270.t 67270u $[1, 1, 0, 6181613, -9210893139]$ $0$ $[2]$
67270.u1 67270t2 67270.u 67270t $[1, 1, 0, -163944217, 807896001381]$ $0$ trivial
67270.u2 67270t1 67270.u 67270t $[1, 1, 0, -2328042, 752500196]$ $0$ trivial
67270.v1 67270n1 67270.v 67270n $[1, -1, 0, -5207839, 4575703493]$ $1$ trivial
67270.w1 67270bl1 67270.w 67270bl $[1, -1, 1, -2187432, 561639531]$ $2$ trivial
67270.x1 67270bc2 67270.x 67270bc $[1, 0, 0, -23146, 1353456]$ $1$ $[2]$
67270.x2 67270bc1 67270.x 67270bc $[1, 0, 0, -1446, 21076]$ $1$ $[2]$
67270.y1 67270bp2 67270.y 67270bp $[1, 0, 0, -225855, 38319127]$ $1$ $[2]$
67270.y2 67270bp1 67270.y 67270bp $[1, 0, 0, 14395, 2714077]$ $1$ $[2]$
67270.z1 67270bo1 67270.z 67270bo $[1, 0, 0, -175, -903]$ $1$ trivial
67270.ba1 67270ba1 67270.ba 67270ba $[1, 1, 1, -86541, -9768701]$ $1$ trivial
67270.bb1 67270be1 67270.bb 67270be $[1, 1, 1, -5786, 101823]$ $0$ trivial
67270.bc1 67270x2 67270.bc 67270x $[1, -1, 1, -1722969873, -1841062209919]$ $1$ $[2]$
67270.bc2 67270x1 67270.bc 67270x $[1, -1, 1, 429670127, -230026433919]$ $1$ $[2]$
67270.bd1 67270y4 67270.bd 67270y $[1, -1, 1, -257248, 50281697]$ $1$ $[2]$
67270.bd2 67270y3 67270.bd 67270y $[1, -1, 1, -84268, -8777519]$ $1$ $[2]$
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