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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
8085.a1 8085i1 8085.a 8085i $[0, -1, 1, -85486, 9555342]$ $0$ trivial
8085.b1 8085j2 8085.b 8085j $[0, -1, 1, -1312726, 10945050906]$ $1$ trivial
8085.b2 8085j1 8085.b 8085j $[0, -1, 1, -438076, -130549434]$ $1$ trivial
8085.c1 8085m1 8085.c 8085m $[0, -1, 1, -6190, -186012]$ $0$ trivial
8085.d1 8085o1 8085.d 8085o $[0, 1, 1, -16, -2810]$ $1$ trivial
8085.e1 8085t1 8085.e 8085t $[0, 1, 1, -4188830, -3269104744]$ $1$ trivial
8085.f1 8085g5 8085.f 8085g $[1, 1, 1, -149410801, 702882354698]$ $0$ $[2]$
8085.f2 8085g4 8085.f 8085g $[1, 1, 1, -9338176, 10979616248]$ $0$ $[2, 2]$
8085.f3 8085g6 8085.f 8085g $[1, 1, 1, -9291871, 11093952554]$ $0$ $[2]$
8085.f4 8085g3 8085.f 8085g $[1, 1, 1, -1246806, -283100196]$ $0$ $[2]$
8085.f5 8085g2 8085.f 8085g $[1, 1, 1, -586531, 169584344]$ $0$ $[2, 2]$
8085.f6 8085g1 8085.f 8085g $[1, 1, 1, 1714, 7934618]$ $0$ $[2]$
8085.g1 8085p5 8085.g 8085p $[1, 0, 0, -649251, 201293406]$ $0$ $[2]$
8085.g2 8085p3 8085.g 8085p $[1, 0, 0, -42876, 2766231]$ $0$ $[2, 2]$
8085.g3 8085p2 8085.g 8085p $[1, 0, 0, -13231, -548080]$ $0$ $[2, 2]$
8085.g4 8085p1 8085.g 8085p $[1, 0, 0, -12986, -570669]$ $0$ $[2]$
8085.g5 8085p4 8085.g 8085p $[1, 0, 0, 12494, -2415715]$ $0$ $[2]$
8085.g6 8085p6 8085.g 8085p $[1, 0, 0, 89179, 16473540]$ $0$ $[2]$
8085.h1 8085w3 8085.h 8085w $[1, 0, 0, -43170, -3455985]$ $0$ $[2]$
8085.h2 8085w2 8085.h 8085w $[1, 0, 0, -2745, -52200]$ $0$ $[2, 2]$
8085.h3 8085w1 8085.h 8085w $[1, 0, 0, -540, 3807]$ $0$ $[4]$
8085.h4 8085w4 8085.h 8085w $[1, 0, 0, 2400, -224043]$ $0$ $[2]$
8085.i1 8085b1 8085.i 8085b $[0, -1, 1, -3201, -67873]$ $0$ trivial
8085.j1 8085c2 8085.j 8085c $[0, -1, 1, -174281, 32066306]$ $0$ trivial
8085.j2 8085c1 8085.j 8085c $[0, -1, 1, 14719, -200719]$ $0$ trivial
8085.k1 8085d1 8085.k 8085d $[0, -1, 1, 26689, -884458]$ $0$ trivial
8085.l1 8085a1 8085.l 8085a $[0, -1, 1, -20351, -488734]$ $0$ trivial
8085.m1 8085k2 8085.m 8085k $[0, -1, 1, -41225, 3235658]$ $1$ trivial
8085.m2 8085k1 8085.m 8085k $[0, -1, 1, -65, 11801]$ $1$ trivial
8085.n1 8085r2 8085.n 8085r $[0, 1, 1, -8539785, -10981663486]$ $1$ trivial
8085.n2 8085r1 8085.n 8085r $[0, 1, 1, 721215, 67404089]$ $1$ $[3]$
8085.o1 8085q1 8085.o 8085q $[0, 1, 1, -65, 179]$ $1$ trivial
8085.p1 8085z1 8085.p 8085z $[0, 1, 1, -415, 1306]$ $1$ trivial
8085.q1 8085y1 8085.q 8085y $[0, 1, 1, -6435, -644416]$ $1$ trivial
8085.r1 8085f3 8085.r 8085f $[1, 1, 0, -28175858, -57577447563]$ $0$ $[2]$
8085.r2 8085f2 8085.r 8085f $[1, 1, 0, -1762163, -898940832]$ $0$ $[2, 2]$
8085.r3 8085f4 8085.r 8085f $[1, 1, 0, -1067588, -1613936337]$ $0$ $[2]$
8085.r4 8085f1 8085.r 8085f $[1, 1, 0, -154718, -1665033]$ $0$ $[2]$
8085.s1 8085e1 8085.s 8085e $[1, 1, 0, -193, -1112]$ $0$ $[2]$
8085.s2 8085e2 8085.s 8085e $[1, 1, 0, -88, -2183]$ $0$ $[2]$
8085.t1 8085l4 8085.t 8085l $[1, 1, 0, -100622, 12243519]$ $0$ $[2]$
8085.t2 8085l3 8085.t 8085l $[1, 1, 0, -9972, -61851]$ $0$ $[2]$
8085.t3 8085l2 8085.t 8085l $[1, 1, 0, -6297, 188784]$ $0$ $[2, 2]$
8085.t4 8085l1 8085.t 8085l $[1, 1, 0, -172, 6259]$ $0$ $[2]$
8085.u1 8085n3 8085.u 8085n $[1, 0, 1, -1014424, 111333191]$ $1$ $[2]$
8085.u2 8085n2 8085.u 8085n $[1, 0, 1, -796129, 273046127]$ $1$ $[2, 2]$
8085.u3 8085n1 8085.u 8085n $[1, 0, 1, -795884, 273222821]$ $1$ $[2]$
8085.u4 8085n4 8085.u 8085n $[1, 0, 1, -581754, 423451627]$ $1$ $[2]$
8085.v1 8085v1 8085.v 8085v $[1, 0, 1, -9483, 352993]$ $0$ $[2]$
8085.v2 8085v2 8085.v 8085v $[1, 0, 1, -4338, 735781]$ $0$ $[2]$
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