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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
68970.a1 68970h1 68970.a 68970h $[1, 1, 0, 281202, 1268553708]$ $1$ trivial
68970.b1 68970g1 68970.b 68970g $[1, 1, 0, -9013413, -10439850483]$ $1$ trivial
68970.c1 68970f1 68970.c 68970f $[1, 1, 0, 3452, 44752]$ $1$ trivial
68970.d1 68970b1 68970.d 68970b $[1, 1, 0, -1049591633, 13264402599573]$ $0$ trivial
68970.e1 68970e4 68970.e 68970e $[1, 1, 0, -75143, 7885563]$ $1$ $[2]$
68970.e2 68970e2 68970.e 68970e $[1, 1, 0, -6173, 36777]$ $1$ $[2, 2]$
68970.e3 68970e1 68970.e 68970e $[1, 1, 0, -3753, -89547]$ $1$ $[2]$
68970.e4 68970e3 68970.e 68970e $[1, 1, 0, 24077, 321127]$ $1$ $[2]$
68970.f1 68970c4 68970.f 68970c $[1, 1, 0, -493198, -133507172]$ $0$ $[2]$
68970.f2 68970c3 68970.f 68970c $[1, 1, 0, -193118, 31205772]$ $0$ $[2]$
68970.f3 68970c2 68970.f 68970c $[1, 1, 0, -33398, -1728492]$ $0$ $[2, 2]$
68970.f4 68970c1 68970.f 68970c $[1, 1, 0, 5322, -171948]$ $0$ $[2]$
68970.g1 68970a2 68970.g 68970a $[1, 1, 0, -36387848, -84500367552]$ $1$ $[2]$
68970.g2 68970a1 68970.g 68970a $[1, 1, 0, -2314248, -1272192192]$ $1$ $[2]$
68970.h1 68970d1 68970.h 68970d $[1, 1, 0, -331058, -73573452]$ $0$ trivial
68970.i1 68970p1 68970.i 68970p $[1, 1, 0, -28007872, 57237247456]$ $1$ trivial
68970.j1 68970o4 68970.j 68970o $[1, 1, 0, -59590082, -177080195376]$ $1$ $[2]$
68970.j2 68970o3 68970.j 68970o $[1, 1, 0, -3770362, -2696245064]$ $1$ $[2]$
68970.j3 68970o2 68970.j 68970o $[1, 1, 0, -3724382, -2768038236]$ $1$ $[2, 2]$
68970.j4 68970o1 68970.j 68970o $[1, 1, 0, -229902, -44440524]$ $1$ $[2]$
68970.k1 68970q1 68970.k 68970q $[1, 1, 0, 7582463, 81276661]$ $0$ trivial
68970.l1 68970k1 68970.l 68970k $[1, 1, 0, -99428727, 381566704149]$ $1$ trivial
68970.m1 68970j1 68970.m 68970j $[1, 1, 0, 103255348, -2776077721776]$ $1$ trivial
68970.n1 68970m2 68970.n 68970m $[1, 1, 0, -3632, 81426]$ $1$ $[2]$
68970.n2 68970m1 68970.n 68970m $[1, 1, 0, -2, 3744]$ $1$ $[2]$
68970.o1 68970l1 68970.o 68970l $[1, 1, 0, -444677, 58713549]$ $1$ $[2]$
68970.o2 68970l2 68970.o 68970l $[1, 1, 0, 1491323, 434684749]$ $1$ $[2]$
68970.p1 68970n1 68970.p 68970n $[1, 1, 0, -76837, -8233331]$ $1$ trivial
68970.q1 68970i1 68970.q 68970i $[1, 1, 0, -256962, 50029236]$ $0$ $[2]$
68970.q2 68970i2 68970.q 68970i $[1, 1, 0, -254762, 50930796]$ $0$ $[2]$
68970.r1 68970bc1 68970.r 68970bc $[1, 0, 1, -124, -43078]$ $0$ trivial
68970.s1 68970y2 68970.s 68970y $[1, 0, 1, -2822449, 1824866822]$ $1$ $[2]$
68970.s2 68970y1 68970.s 68970y $[1, 0, 1, -176179, 28578746]$ $1$ $[2]$
68970.t1 68970s2 68970.t 68970s $[1, 0, 1, -3598664, -2282383798]$ $1$ $[2]$
68970.t2 68970s1 68970.t 68970s $[1, 0, 1, -3465564, -2483418038]$ $1$ $[2]$
68970.u1 68970w2 68970.u 68970w $[1, 0, 1, -4066934, -3142153654]$ $1$ $[2]$
68970.u2 68970w1 68970.u 68970w $[1, 0, 1, -113864, -103033438]$ $1$ $[2]$
68970.v1 68970x4 68970.v 68970x $[1, 0, 1, -56050954, -103141949044]$ $1$ $[2]$
68970.v2 68970x2 68970.v 68970x $[1, 0, 1, -50213914, -136961166388]$ $1$ $[2]$
68970.v3 68970x1 68970.v 68970x $[1, 0, 1, -3130394, -2151631924]$ $1$ $[2]$
68970.v4 68970x3 68970.v 68970x $[1, 0, 1, 10344166, -11197986868]$ $1$ $[2]$
68970.w1 68970ba1 68970.w 68970ba $[1, 0, 1, -11619, 499486]$ $0$ trivial
68970.x1 68970z1 68970.x 68970z $[1, 0, 1, 1672096, 1505447876]$ $0$ trivial
68970.y1 68970t2 68970.y 68970t $[1, 0, 1, -894, 25342]$ $1$ trivial
68970.y2 68970t1 68970.y 68970t $[1, 0, 1, 96, -794]$ $1$ trivial
68970.z1 68970r2 68970.z 68970r $[1, 0, 1, -18460654, -30526102444]$ $0$ $[2]$
68970.z2 68970r1 68970.z 68970r $[1, 0, 1, -1273154, -372352444]$ $0$ $[2]$
68970.ba1 68970u1 68970.ba 68970u $[1, 0, 1, -2940424, 1686491222]$ $1$ $[2]$
68970.ba2 68970u2 68970.ba 68970u $[1, 0, 1, 4803576, 9071169622]$ $1$ $[2]$
68970.bb1 68970v2 68970.bb 68970v $[1, 0, 1, -1873809, -987426068]$ $1$ $[2]$
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