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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
5550.a1 5550h1 5550.a 5550h $[1, 1, 0, -75, 225]$ $2$ trivial
5550.b1 5550d2 5550.b 5550d $[1, 1, 0, -1275, 16875]$ $1$ $[2]$
5550.b2 5550d1 5550.b 5550d $[1, 1, 0, -25, 625]$ $1$ $[2]$
5550.c1 5550l2 5550.c 5550l $[1, 1, 0, -365, 1275]$ $1$ $[2]$
5550.c2 5550l1 5550.c 5550l $[1, 1, 0, -315, 2025]$ $1$ $[2]$
5550.d1 5550k1 5550.d 5550k $[1, 1, 0, -5830, -173900]$ $1$ trivial
5550.e1 5550j1 5550.e 5550j $[1, 1, 0, -6450, -103500]$ $1$ trivial
5550.f1 5550f1 5550.f 5550f $[1, 1, 0, -47700, -4029750]$ $0$ trivial
5550.g1 5550b2 5550.g 5550b $[1, 1, 0, -184100900, -961538430000]$ $1$ trivial
5550.g2 5550b1 5550.g 5550b $[1, 1, 0, -2084900, -1546878000]$ $1$ trivial
5550.h1 5550a2 5550.h 5550a $[1, 1, 0, -3700, -88250]$ $1$ trivial
5550.h2 5550a1 5550.h 5550a $[1, 1, 0, 50, -500]$ $1$ trivial
5550.i1 5550c1 5550.i 5550c $[1, 1, 0, -260, -1680]$ $1$ trivial
5550.j1 5550g2 5550.j 5550g $[1, 1, 0, -873385, 313800325]$ $0$ $[2]$
5550.j2 5550g1 5550.j 5550g $[1, 1, 0, -54185, 4961925]$ $0$ $[2]$
5550.k1 5550e1 5550.k 5550e $[1, 1, 0, -7025, 295125]$ $0$ trivial
5550.l1 5550i1 5550.l 5550i $[1, 1, 0, -4575, 757125]$ $0$ trivial
5550.m1 5550n1 5550.m 5550n $[1, 0, 1, -21626, -1225852]$ $0$ trivial
5550.n1 5550q1 5550.n 5550q $[1, 0, 1, 424, 21548]$ $1$ trivial
5550.o1 5550r1 5550.o 5550r $[1, 0, 1, -326, 2048]$ $1$ trivial
5550.p1 5550u2 5550.p 5550u $[1, 0, 1, -6201, -177452]$ $0$ $[2]$
5550.p2 5550u1 5550.p 5550u $[1, 0, 1, -1201, 12548]$ $0$ $[2]$
5550.q1 5550o2 5550.q 5550o $[1, 0, 1, -528651, -147949802]$ $1$ $[2]$
5550.q2 5550o1 5550.q 5550o $[1, 0, 1, -28651, -2949802]$ $1$ $[2]$
5550.r1 5550m4 5550.r 5550m $[1, 0, 1, -8525126, 9580034648]$ $0$ $[2]$
5550.r2 5550m5 5550.r 5550m $[1, 0, 1, -7578126, -7995265352]$ $0$ $[2]$
5550.r3 5550m3 5550.r 5550m $[1, 0, 1, -733126, 27074648]$ $0$ $[2, 2]$
5550.r4 5550m2 5550.r 5550m $[1, 0, 1, -533126, 149474648]$ $0$ $[2, 2]$
5550.r5 5550m1 5550.r 5550m $[1, 0, 1, -21126, 4066648]$ $0$ $[2]$
5550.r6 5550m6 5550.r 5550m $[1, 0, 1, 2911874, 216614648]$ $0$ $[2]$
5550.s1 5550t2 5550.s 5550t $[1, 0, 1, -70576, -7222402]$ $0$ trivial
5550.s2 5550t1 5550.s 5550t $[1, 0, 1, -1201, -1852]$ $0$ $[3]$
5550.t1 5550p1 5550.t 5550p $[1, 0, 1, -3251, 72398]$ $1$ trivial
5550.u1 5550s1 5550.u 5550s $[1, 0, 1, 78674, -21105952]$ $1$ trivial
5550.v1 5550bb1 5550.v 5550bb $[1, 1, 1, 3147, -167589]$ $1$ trivial
5550.w1 5550bc3 5550.w 5550bc $[1, 1, 1, -8011463, -1800202219]$ $1$ $[2]$
5550.w2 5550bc2 5550.w 5550bc $[1, 1, 1, -4886463, 4131047781]$ $1$ $[2, 2]$
5550.w3 5550bc1 5550.w 5550bc $[1, 1, 1, -4878463, 4145335781]$ $1$ $[4]$
5550.w4 5550bc4 5550.w 5550bc $[1, 1, 1, -1889463, 9148025781]$ $1$ $[2]$
5550.x1 5550w2 5550.x 5550w $[1, 1, 1, -1764388, -902800219]$ $0$ trivial
5550.x2 5550w1 5550.x 5550w $[1, 1, 1, -30013, -231469]$ $0$ trivial
5550.y1 5550z1 5550.y 5550z $[1, 1, 1, -4588, 7600781]$ $1$ trivial
5550.z1 5550y1 5550.z 5550y $[1, 1, 1, 37, -5719]$ $1$ trivial
5550.ba1 5550v2 5550.ba 5550v $[1, 1, 1, -177213, -28823469]$ $0$ trivial
5550.ba2 5550v1 5550.ba 5550v $[1, 1, 1, 3162, -185469]$ $0$ trivial
5550.bb1 5550ba1 5550.bb 5550ba $[1, 1, 1, -13, 11]$ $1$ trivial
5550.bc1 5550bd2 5550.bc 5550bd $[1, 1, 1, -248, -1519]$ $1$ $[2]$
5550.bc2 5550bd1 5550.bc 5550bd $[1, 1, 1, -48, 81]$ $1$ $[2]$
5550.bd1 5550x4 5550.bd 5550x $[1, 1, 1, -262188, -23175219]$ $0$ $[2]$
5550.bd2 5550x2 5550.bd 5550x $[1, 1, 1, -132813, 18573531]$ $0$ $[2]$
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