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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
422331.a1 422331a1 422331.a 422331a $[0, -1, 1, -212, -1870]$ $2$ trivial
422331.b1 422331b1 422331.b 422331b $[0, -1, 1, -24117032, 45594570062]$ $2$ trivial
422331.c1 422331c1 422331.c 422331c $[0, -1, 1, -118694, 15763880]$ $2$ trivial
422331.d1 422331d1 422331.d 422331d $[0, -1, 1, -21235244, -33339938500]$ $1$ trivial
422331.e1 422331e1 422331.e 422331e $[0, -1, 1, 162860, 17536014]$ $1$ trivial
422331.f1 422331f1 422331.f 422331f $[0, -1, 1, -2397152, 1429238306]$ $0$ trivial
422331.g1 422331g1 422331.g 422331g $[0, 1, 1, -117460464, -489993818128]$ $1$ trivial
422331.h1 422331h1 422331.h 422331h $[0, 1, 1, -35884, -10443338]$ $1$ trivial
422331.i1 422331i1 422331.i 422331i $[0, 1, 1, 2966450184, -532512251582398]$ $1$ trivial
422331.j1 422331j1 422331.j 422331j $[0, 1, 1, -188395510, -1440714096272]$ $1$ trivial
422331.k1 422331k1 422331.k 422331k $[0, 1, 1, -5816022, -5395378894]$ $1$ trivial
422331.l1 422331l1 422331.l 422331l $[0, 1, 1, -433372, 97077166]$ $0$ trivial
422331.m1 422331m1 422331.m 422331m $[0, 1, 1, -466496, 217996328]$ $1$ trivial
422331.n1 422331n1 422331.n 422331n $[1, 1, 1, -211338, -39383310]$ $0$ trivial
422331.o1 422331o1 422331.o 422331o $[1, 1, 1, -376958, -83835718]$ $1$ $[2]$
422331.o2 422331o2 422331.o 422331o $[1, 1, 1, 326927, -360040192]$ $1$ $[2]$
422331.p1 422331p1 422331.p 422331p $[1, 1, 1, 1602, 117060]$ $1$ trivial
422331.q1 422331q2 422331.q 422331q $[1, 1, 1, -459768, 82794564]$ $1$ $[2]$
422331.q2 422331q1 422331.q 422331q $[1, 1, 1, 78497, 8729300]$ $1$ $[2]$
422331.r1 422331r1 422331.r 422331r $[1, 1, 1, -352115, 83655788]$ $0$ trivial
422331.s1 422331s2 422331.s 422331s $[1, 1, 1, -906942, -332232594]$ $0$ $[2]$
422331.s2 422331s1 422331.s 422331s $[1, 1, 1, -37437, -8776734]$ $0$ $[2]$
422331.t1 422331t1 422331.t 422331t $[1, 1, 1, -764, 5858]$ $1$ trivial
422331.u1 422331u2 422331.u 422331u $[1, 0, 0, -2712200, 575204811]$ $1$ $[2]$
422331.u2 422331u1 422331.u 422331u $[1, 0, 0, -2173935, 1232426376]$ $1$ $[2]$
422331.v1 422331v1 422331.v 422331v $[1, 0, 0, -37437, -2121666]$ $0$ trivial
422331.w1 422331w2 422331.w 422331w $[1, 0, 0, -18509, 965964]$ $0$ $[2]$
422331.w2 422331w1 422331.w 422331w $[1, 0, 0, -764, 25479]$ $0$ $[2]$
422331.x1 422331x1 422331.x 422331x $[1, 0, 0, 6968289, 37271967732]$ $1$ trivial
422331.y1 422331y1 422331.y 422331y $[1, 0, 0, -4313, 114204]$ $1$ trivial
422331.z1 422331z1 422331.z 422331z $[1, 0, 0, 78497, -39916150]$ $0$ trivial
422331.ba1 422331ba1 422331.ba 422331ba $[0, -1, 1, -541025, -167105443]$ $0$ trivial
422331.bb1 422331bb1 422331.bb 422331bb $[0, -1, 1, -3373127, -3053091910]$ $1$ trivial
422331.bb2 422331bb2 422331.bb 422331bb $[0, -1, 1, 25693183, 30881825015]$ $1$ trivial
422331.bc1 422331bc1 422331.bc 422331bc $[0, -1, 1, -153001, 23885175]$ $3$ trivial
422331.bd1 422331bd1 422331.bd 422331bd $[0, -1, 1, -19959, -1383523]$ $1$ trivial
422331.bd2 422331bd2 422331.bd 422331bd $[0, -1, 1, 152031, 14009582]$ $1$ trivial
422331.be1 422331be2 422331.be 422331be $[0, -1, 1, -491339, 132799253]$ $1$ trivial
422331.be2 422331be1 422331.be 422331be $[0, -1, 1, 5521, 758708]$ $1$ trivial
422331.bf1 422331bf1 422331.bf 422331bf $[0, 1, 1, -7497065, -8177620993]$ $1$ trivial
422331.bg1 422331bg1 422331.bg 422331bg $[0, 1, 1, 29519005, -55831662337]$ $1$ trivial
422331.bh1 422331bh1 422331.bh 422331bh $[0, 1, 1, -44165, 13165793]$ $1$ trivial
422331.bi1 422331bi1 422331.bi 422331bi $[0, 1, 1, -11041, 484033]$ $1$ trivial
422331.bj1 422331bj1 422331.bj 422331bj $[1, 1, 0, -3768027, -2815342200]$ $0$ $[2]$
422331.bj2 422331bj2 422331.bj 422331bj $[1, 1, 0, -3064142, -3898621215]$ $0$ $[2]$
422331.bk1 422331bk1 422331.bk 422331bk $[1, 1, 0, -2083, 37276]$ $0$ trivial
422331.bl1 422331bl2 422331.bl 422331bl $[1, 1, 0, -2720, 36639]$ $1$ $[2]$
422331.bl2 422331bl1 422331.bl 422331bl $[1, 1, 0, 465, 4152]$ $1$ $[2]$
422331.bm1 422331bm2 422331.bm 422331bm $[1, 1, 0, -811710, -216739557]$ $2$ $[2]$
422331.bm2 422331bm1 422331.bm 422331bm $[1, 1, 0, -273445, 52069984]$ $2$ $[2]$
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