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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
8712.a1 8712n1 8712.a 8712n $[0, 0, 0, -8729787, -9927809210]$ $1$ $[2]$
8712.a2 8712n2 8712.a 8712n $[0, 0, 0, -8686227, -10031786930]$ $1$ $[2]$
8712.b1 8712m1 8712.b 8712m $[0, 0, 0, -99, -594]$ $1$ trivial
8712.c1 8712z1 8712.c 8712z $[0, 0, 0, -11979, 790614]$ $0$ trivial
8712.d1 8712p2 8712.d 8712p $[0, 0, 0, -1545291, -739224090]$ $0$ $[2]$
8712.d2 8712p1 8712.d 8712p $[0, 0, 0, -107811, -8696754]$ $0$ $[2]$
8712.e1 8712f2 8712.e 8712f $[0, 0, 0, -187671, -31243894]$ $0$ $[2]$
8712.e2 8712f1 8712.e 8712f $[0, 0, 0, -7986, -805255]$ $0$ $[2]$
8712.f1 8712k3 8712.f 8712k $[0, 0, 0, -514371, 141972446]$ $1$ $[2]$
8712.f2 8712k2 8712.f 8712k $[0, 0, 0, -35211, 1770230]$ $1$ $[2, 2]$
8712.f3 8712k1 8712.f 8712k $[0, 0, 0, -13431, -577654]$ $1$ $[2]$
8712.f4 8712k4 8712.f 8712k $[0, 0, 0, 95469, 11832590]$ $1$ $[2]$
8712.g1 8712t2 8712.g 8712t $[0, 0, 0, -1551, 23474]$ $1$ $[2]$
8712.g2 8712t1 8712.g 8712t $[0, 0, 0, -66, 605]$ $1$ $[2]$
8712.h1 8712b2 8712.h 8712b $[0, 0, 0, -12771, 555390]$ $1$ $[2]$
8712.h2 8712b1 8712.h 8712b $[0, 0, 0, -891, 6534]$ $1$ $[2]$
8712.i1 8712r1 8712.i 8712r $[0, 0, 0, 132, 484]$ $1$ trivial
8712.j1 8712d1 8712.j 8712d $[0, 0, 0, 15972, -644204]$ $0$ trivial
8712.k1 8712w1 8712.k 8712w $[0, 0, 0, -9075, 98494]$ $0$ $[2]$
8712.k2 8712w2 8712.k 8712w $[0, 0, 0, 34485, 769318]$ $0$ $[2]$
8712.l1 8712h1 8712.l 8712h $[0, 0, 0, -79860, 9897316]$ $1$ trivial
8712.m1 8712v1 8712.m 8712v $[0, 0, 0, -660, -7436]$ $0$ trivial
8712.n1 8712q2 8712.n 8712q $[0, 0, 0, -81675, -8409258]$ $1$ $[2]$
8712.n2 8712q1 8712.n 8712q $[0, 0, 0, -16335, 646866]$ $1$ $[2]$
8712.o1 8712c2 8712.o 8712c $[0, 0, 0, -9075, 311454]$ $0$ $[2]$
8712.o2 8712c1 8712.o 8712c $[0, 0, 0, -1815, -23958]$ $0$ $[2]$
8712.p1 8712x1 8712.p 8712x $[0, 0, 0, 243573, -17012842]$ $0$ trivial
8712.q1 8712i1 8712.q 8712i $[0, 0, 0, 2013, 12782]$ $1$ trivial
8712.r1 8712j4 8712.r 8712j $[0, 0, 0, -767019, 258557398]$ $1$ $[2]$
8712.r2 8712j3 8712.r 8712j $[0, 0, 0, -113619, -9101378]$ $1$ $[2]$
8712.r3 8712j2 8712.r 8712j $[0, 0, 0, -48279, 3979690]$ $1$ $[2, 2]$
8712.r4 8712j1 8712.r 8712j $[0, 0, 0, 726, 206305]$ $1$ $[2]$
8712.s1 8712a2 8712.s 8712a $[0, 0, 0, -171699, 27378670]$ $1$ $[2]$
8712.s2 8712a1 8712.s 8712a $[0, 0, 0, -11979, 322102]$ $1$ $[2]$
8712.t1 8712e1 8712.t 8712e $[0, 0, 0, -759, 7018]$ $0$ $[2]$
8712.t2 8712e2 8712.t 8712e $[0, 0, 0, 1221, 37510]$ $0$ $[2]$
8712.u1 8712y5 8712.u 8712y $[0, 0, 0, -418539, -104219962]$ $0$ $[2]$
8712.u2 8712y4 8712.u 8712y $[0, 0, 0, -70059, 7136822]$ $0$ $[2]$
8712.u3 8712y3 8712.u 8712y $[0, 0, 0, -26499, -1583890]$ $0$ $[2, 2]$
8712.u4 8712y2 8712.u 8712y $[0, 0, 0, -4719, 93170]$ $0$ $[2, 2]$
8712.u5 8712y1 8712.u 8712y $[0, 0, 0, 726, 9317]$ $0$ $[2]$
8712.u6 8712y6 8712.u 8712y $[0, 0, 0, 17061, -6279658]$ $0$ $[2]$
8712.v1 8712s1 8712.v 8712s $[0, 0, 0, -91839, -9340958]$ $1$ $[2]$
8712.v2 8712s2 8712.v 8712s $[0, 0, 0, 147741, -49925810]$ $1$ $[2]$
8712.w1 8712o2 8712.w 8712o $[0, 0, 0, -1419, -20570]$ $0$ $[2]$
8712.w2 8712o1 8712.w 8712o $[0, 0, 0, -99, -242]$ $0$ $[2]$
8712.x1 8712l1 8712.x 8712l $[0, 0, 0, -4356, 143748]$ $1$ trivial
8712.y1 8712u2 8712.y 8712u $[0, 0, 0, -1481403, 20936630]$ $1$ $[2]$
8712.y2 8712u1 8712.y 8712u $[0, 0, 0, -1002243, -384911890]$ $1$ $[2]$
8712.z1 8712g2 8712.z 8712g $[0, 0, 0, -12243, -15730]$ $0$ $[2]$
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