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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
12696.a1 12696i2 12696.a 12696i $[0, -1, 0, -29800, 1843996]$ $0$ $[2]$
12696.a2 12696i1 12696.a 12696i $[0, -1, 0, 1940, 130036]$ $0$ $[2]$
12696.b1 12696h1 12696.b 12696h $[0, -1, 0, 8, 316]$ $2$ trivial
12696.c1 12696n1 12696.c 12696n $[0, -1, 0, -199, 1144]$ $1$ $[2]$
12696.c2 12696n2 12696.c 12696n $[0, -1, 0, -84, 2340]$ $1$ $[2]$
12696.d1 12696e1 12696.d 12696e $[0, -1, 0, -104145464, 409115098764]$ $0$ trivial
12696.e1 12696f1 12696.e 12696f $[0, -1, 0, -9169, -334955]$ $0$ trivial
12696.f1 12696m1 12696.f 12696m $[0, -1, 0, 31, -75]$ $1$ trivial
12696.g1 12696o3 12696.g 12696o $[0, -1, 0, -397984, -81644900]$ $1$ $[2]$
12696.g2 12696o2 12696.g 12696o $[0, -1, 0, -112324, 13308484]$ $1$ $[2, 2]$
12696.g3 12696o1 12696.g 12696o $[0, -1, 0, -109679, 14017344]$ $1$ $[4]$
12696.g4 12696o4 12696.g 12696o $[0, -1, 0, 131016, 62852508]$ $1$ $[2]$
12696.h1 12696a2 12696.h 12696a $[0, -1, 0, -24676968, -47174799204]$ $0$ $[2]$
12696.h2 12696a1 12696.h 12696a $[0, -1, 0, -1538508, -740537676]$ $0$ $[2]$
12696.i1 12696d2 12696.i 12696d $[0, -1, 0, -605352, 181458540]$ $0$ $[2]$
12696.i2 12696d1 12696.i 12696d $[0, -1, 0, -34032, 3435228]$ $0$ $[2]$
12696.j1 12696k1 12696.j 12696k $[0, -1, 0, 16223, 782293]$ $1$ trivial
12696.k1 12696j5 12696.k 12696j $[0, -1, 0, -203312, 35352972]$ $1$ $[2]$
12696.k2 12696j3 12696.k 12696j $[0, -1, 0, -34032, -2404932]$ $1$ $[2]$
12696.k3 12696j4 12696.k 12696j $[0, -1, 0, -12872, 540540]$ $1$ $[2, 2]$
12696.k4 12696j2 12696.k 12696j $[0, -1, 0, -2292, -30780]$ $1$ $[2, 2]$
12696.k5 12696j1 12696.k 12696j $[0, -1, 0, 353, -3272]$ $1$ $[2]$
12696.k6 12696j6 12696.k 12696j $[0, -1, 0, 8288, 2123308]$ $1$ $[2]$
12696.l1 12696c1 12696.l 12696c $[0, -1, 0, -4850577, 4114201653]$ $0$ trivial
12696.m1 12696b1 12696.m 12696b $[0, -1, 0, -196872, -33556500]$ $0$ trivial
12696.n1 12696l1 12696.n 12696l $[0, -1, 0, -105447, -13075920]$ $1$ $[2]$
12696.n2 12696l2 12696.n 12696l $[0, -1, 0, -44612, -28114332]$ $1$ $[2]$
12696.o1 12696g1 12696.o 12696g $[0, -1, 0, 4056, -3877668]$ $0$ trivial
12696.p1 12696s2 12696.p 12696s $[0, 1, 0, -119224, 15805376]$ $2$ $[2]$
12696.p2 12696s1 12696.p 12696s $[0, 1, 0, -7444, 245600]$ $2$ $[2]$
12696.q1 12696t2 12696.q 12696t $[0, 1, 0, -482624, -126503904]$ $0$ $[2]$
12696.q2 12696t1 12696.q 12696t $[0, 1, 0, 4056, -6196608]$ $0$ $[2]$
12696.r1 12696r2 12696.r 12696r $[0, 1, 0, -912, 10080]$ $0$ $[2]$
12696.r2 12696r1 12696.r 12696r $[0, 1, 0, 8, 512]$ $0$ $[2]$
12696.s1 12696p2 12696.s 12696p $[0, 1, 0, -63069672, -192808566720]$ $0$ $[2]$
12696.s2 12696p1 12696.s 12696p $[0, 1, 0, -3938052, -3019719168]$ $0$ $[2]$
12696.t1 12696q3 12696.t 12696q $[0, 1, 0, -1557552, -748709472]$ $0$ $[2]$
12696.t2 12696q4 12696.t 12696q $[0, 1, 0, -160992, 5331360]$ $0$ $[2]$
12696.t3 12696q2 12696.t 12696q $[0, 1, 0, -97512, -11681280]$ $0$ $[2, 2]$
12696.t4 12696q1 12696.t 12696q $[0, 1, 0, -2292, -407232]$ $0$ $[4]$
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