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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
55470.a1 55470b1 55470.a 55470b $[1, 1, 0, -29131033, 60783850237]$ $0$ trivial
55470.b1 55470a1 55470.b 55470a $[1, 1, 0, -253, -323]$ $2$ trivial
55470.c1 55470d1 55470.c 55470d $[1, 1, 0, 48, 666]$ $1$ trivial
55470.d1 55470c3 55470.d 55470c $[1, 1, 0, -63431832, 84443489676]$ $1$ $[2]$
55470.d2 55470c1 55470.d 55470c $[1, 1, 0, -32479572, -71256562416]$ $1$ $[2]$
55470.d3 55470c2 55470.d 55470c $[1, 1, 0, -30630572, -79724612616]$ $1$ $[2]$
55470.d4 55470c4 55470.d 55470c $[1, 1, 0, 225474418, 639663520926]$ $1$ $[2]$
55470.e1 55470e1 55470.e 55470e $[1, 1, 0, -353197, -74638691]$ $1$ $[2]$
55470.e2 55470e2 55470.e 55470e $[1, 1, 0, 386403, -345184371]$ $1$ $[2]$
55470.f1 55470i1 55470.f 55470i $[1, 0, 1, -186659, 1896143582]$ $1$ trivial
55470.g1 55470f1 55470.g 55470f $[1, 0, 1, -110979, -122464844]$ $0$ trivial
55470.h1 55470h1 55470.h 55470h $[1, 0, 1, -83244, -17016374]$ $1$ trivial
55470.i1 55470g2 55470.i 55470g $[1, 0, 1, -3291259, -2689109818]$ $0$ trivial
55470.i2 55470g1 55470.i 55470g $[1, 0, 1, 286556, 21442826]$ $0$ $[3]$
55470.j1 55470m2 55470.j 55470m $[1, 0, 1, -1060098303, -13285264645802]$ $1$ $[2]$
55470.j2 55470m1 55470.j 55470m $[1, 0, 1, -66260803, -207555750802]$ $1$ $[2]$
55470.k1 55470n2 55470.k 55470n $[1, 0, 1, -2470303, -1494607744]$ $0$ $[2]$
55470.k2 55470n1 55470.k 55470n $[1, 0, 1, -159053, -21879244]$ $0$ $[2]$
55470.l1 55470j1 55470.l 55470j $[1, 0, 1, -383, 3026]$ $1$ trivial
55470.m1 55470k2 55470.m 55470k $[1, 0, 1, -38653, 2897528]$ $1$ $[2]$
55470.m2 55470k1 55470.m 55470k $[1, 0, 1, -4253, -33352]$ $1$ $[2]$
55470.n1 55470l1 55470.n 55470l $[1, 0, 1, -269993, 52450556]$ $1$ trivial
55470.o1 55470o2 55470.o 55470o $[1, 0, 1, -306519863, 2065522864538]$ $0$ $[2]$
55470.o2 55470o1 55470.o 55470o $[1, 0, 1, -18963383, 32958641306]$ $0$ $[2]$
55470.p1 55470w2 55470.p 55470w $[1, 1, 1, -50886, 3910989]$ $1$ $[2]$
55470.p2 55470w1 55470.p 55470w $[1, 1, 1, 4584, 316533]$ $1$ $[2]$
55470.q1 55470v1 55470.q 55470v $[1, 1, 1, -146, -721]$ $1$ trivial
55470.r1 55470t4 55470.r 55470t $[1, 1, 1, -9582481, 9847709639]$ $1$ $[2]$
55470.r2 55470t3 55470.r 55470t $[1, 1, 1, -9212681, 10758748919]$ $1$ $[2]$
55470.r3 55470t2 55470.r 55470t $[1, 1, 1, -2510056, -1530074881]$ $1$ $[2]$
55470.r4 55470t1 55470.r 55470t $[1, 1, 1, -198806, -10196881]$ $1$ $[2]$
55470.s1 55470q2 55470.s 55470q $[1, 1, 1, -71468511, -230659652571]$ $0$ $[2]$
55470.s2 55470q1 55470.s 55470q $[1, 1, 1, -7862911, 2620245989]$ $0$ $[2]$
55470.t1 55470p1 55470.t 55470p $[1, 1, 1, -707281, -243437137]$ $0$ trivial
55470.u1 55470s2 55470.u 55470s $[1, 1, 1, -439176, 108261153]$ $1$ $[2]$
55470.u2 55470s1 55470.u 55470s $[1, 1, 1, -69376, -4749727]$ $1$ $[2]$
55470.v1 55470u1 55470.v 55470u $[1, 1, 1, 222305182134, 266453215936879959]$ $1$ trivial
55470.w1 55470r2 55470.w 55470r $[1, 1, 1, -573336, 166855533]$ $0$ $[2]$
55470.w2 55470r1 55470.w 55470r $[1, 1, 1, -35836, 2595533]$ $0$ $[2]$
55470.x1 55470bd4 55470.x 55470bd $[1, 1, 1, -1550425, -738640015]$ $0$ $[2]$
55470.x2 55470bd2 55470.x 55470bd $[1, 1, 1, -163675, 6322085]$ $0$ $[2, 2]$
55470.x3 55470bd1 55470.x 55470bd $[1, 1, 1, -126695, 17282957]$ $0$ $[4]$
55470.x4 55470bd3 55470.x 55470bd $[1, 1, 1, 631395, 50527977]$ $0$ $[2]$
55470.y1 55470bb2 55470.y 55470bb $[1, 1, 1, -1780, 33077]$ $2$ trivial
55470.y2 55470bb1 55470.y 55470bb $[1, 1, 1, 155, -205]$ $2$ trivial
55470.z1 55470ba1 55470.z 55470ba $[1, 1, 1, 9367920, 380006493297]$ $0$ trivial
55470.ba1 55470z4 55470.ba 55470z $[1, 1, 1, -122724640, -523302872095]$ $0$ $[2]$
55470.ba2 55470z3 55470.ba 55470z $[1, 1, 1, -45214560, 111251680737]$ $0$ $[2]$
55470.ba3 55470z2 55470.ba 55470z $[1, 1, 1, -8234560, -6906815263]$ $0$ $[2, 2]$
55470.ba4 55470z1 55470.ba 55470z $[1, 1, 1, 1232320, -681394975]$ $0$ $[4]$
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