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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
4998.a1 4998j2 4998.a 4998j $[1, 1, 0, -461724, 34374096]$ $1$ trivial
4998.a2 4998j1 4998.a 4998j $[1, 1, 0, -266109, -52946739]$ $1$ trivial
4998.b1 4998i2 4998.b 4998i $[1, 1, 0, -667356, -208043184]$ $1$ $[2]$
4998.b2 4998i1 4998.b 4998i $[1, 1, 0, -8796, -8236080]$ $1$ $[2]$
4998.c1 4998e2 4998.c 4998e $[1, 1, 0, -1305651, 573689565]$ $0$ $[2]$
4998.c2 4998e1 4998.c 4998e $[1, 1, 0, -80931, 9093645]$ $0$ $[2]$
4998.d1 4998g3 4998.d 4998g $[1, 1, 0, -36775, 2036917]$ $1$ $[2]$
4998.d2 4998g1 4998.d 4998g $[1, 1, 0, -12520, -544256]$ $1$ $[2]$
4998.d3 4998g2 4998.d 4998g $[1, 1, 0, -10560, -717912]$ $1$ $[2]$
4998.d4 4998g4 4998.d 4998g $[1, 1, 0, 88665, 13050549]$ $1$ $[2]$
4998.e1 4998b1 4998.e 4998b $[1, 1, 0, -327492, -72248112]$ $0$ trivial
4998.f1 4998d1 4998.f 4998d $[1, 1, 0, -3392, -110592]$ $0$ trivial
4998.g1 4998a1 4998.g 4998a $[1, 1, 0, -417, 3123]$ $1$ trivial
4998.h1 4998c1 4998.h 4998c $[1, 1, 0, 808, 4152]$ $0$ trivial
4998.i1 4998h1 4998.i 4998h $[1, 1, 0, -242, 4278]$ $1$ trivial
4998.j1 4998f2 4998.j 4998f $[1, 1, 0, -13696, 606208]$ $0$ trivial
4998.j2 4998f1 4998.j 4998f $[1, 1, 0, -1201, -16043]$ $0$ trivial
4998.k1 4998l2 4998.k 4998l $[1, 0, 1, -671130, -209942708]$ $1$ trivial
4998.k2 4998l1 4998.k 4998l $[1, 0, 1, -58875, 5326150]$ $1$ $[3]$
4998.l1 4998w2 4998.l 4998w $[1, 0, 1, -2703552, -1711197554]$ $0$ $[2]$
4998.l2 4998w1 4998.l 4998w $[1, 0, 1, -163392, -28595570]$ $0$ $[2]$
4998.m1 4998m1 4998.m 4998m $[1, 0, 1, -16047134, 24732961040]$ $1$ trivial
4998.n1 4998s1 4998.n 4998s $[1, 0, 1, -20459, -1132540]$ $0$ trivial
4998.o1 4998t1 4998.o 4998t $[1, 0, 1, -166234, 37434380]$ $0$ trivial
4998.p1 4998o1 4998.p 4998o $[1, 0, 1, 16, -10]$ $1$ trivial
4998.q1 4998n1 4998.q 4998n $[1, 0, 1, -1839, 31210]$ $1$ trivial
4998.r1 4998p1 4998.r 4998p $[1, 0, 1, -11884, -1502980]$ $1$ trivial
4998.s1 4998u1 4998.s 4998u $[1, 0, 1, -715279, 233372738]$ $0$ trivial
4998.t1 4998r2 4998.t 4998r $[1, 0, 1, -13620, 604594]$ $1$ $[2]$
4998.t2 4998r1 4998.t 4998r $[1, 0, 1, -180, 23986]$ $1$ $[2]$
4998.u1 4998q2 4998.u 4998q $[1, 0, 1, -18695, -985246]$ $1$ $[2]$
4998.u2 4998q1 4998.u 4998q $[1, 0, 1, -1055, -18574]$ $1$ $[2]$
4998.v1 4998v2 4998.v 4998v $[1, 0, 1, -63976925, -196967451544]$ $0$ $[2]$
4998.v2 4998v1 4998.v 4998v $[1, 0, 1, -3965645, -3131017144]$ $0$ $[2]$
4998.w1 4998k2 4998.w 4998k $[1, 0, 1, -22624502, -11858188408]$ $0$ trivial
4998.w2 4998k1 4998.w 4998k $[1, 0, 1, -13039367, 18121613402]$ $0$ $[3]$
4998.x1 4998x1 4998.x 4998x $[1, 0, 1, -124, -346]$ $0$ $[2]$
4998.x2 4998x2 4998.x 4998x $[1, 0, 1, 366, -2306]$ $0$ $[2]$
4998.y1 4998bb1 4998.y 4998bb $[1, 1, 1, -442, 3527]$ $1$ trivial
4998.z1 4998bc1 4998.z 4998bc $[1, 1, 1, 2694, -49785]$ $1$ trivial
4998.ba1 4998ba1 4998.ba 4998ba $[1, 1, 1, 9212930, 137302547003]$ $1$ trivial
4998.bb1 4998bf1 4998.bb 4998bf $[1, 1, 1, 216040, -170134567]$ $0$ trivial
4998.bc1 4998be1 4998.bc 4998be $[1, 1, 1, -85, -337]$ $0$ trivial
4998.bd1 4998z1 4998.bd 4998z $[1, 1, 1, -50, -1]$ $1$ trivial
4998.be1 4998bd5 4998.be 4998bd $[1, 1, 1, -1359457, 609526973]$ $1$ $[2]$
4998.be2 4998bd3 4998.be 4998bd $[1, 1, 1, -84967, 9497081]$ $1$ $[2, 2]$
4998.be3 4998bd6 4998.be 4998bd $[1, 1, 1, -80557, 10532549]$ $1$ $[2]$
4998.be4 4998bd2 4998.be 4998bd $[1, 1, 1, -5587, 130241]$ $1$ $[2, 2]$
4998.be5 4998bd1 4998.be 4998bd $[1, 1, 1, -1667, -24991]$ $1$ $[2]$
4998.be6 4998bd4 4998.be 4998bd $[1, 1, 1, 11073, 776649]$ $1$ $[2]$
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