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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
650.a1 650c1 650.a 650c $[1, -1, 0, -22, 46]$ $1$ trivial
650.b1 650g1 650.b 650g $[1, 0, 1, -26, 48]$ $1$ $[3]$
650.b2 650g2 650.b 650g $[1, 0, 1, 99, 248]$ $1$ trivial
650.c1 650e1 650.c 650e $[1, 0, 1, -21026, -1175052]$ $0$ $[2]$
650.c2 650e2 650.c 650e $[1, 0, 1, -19026, -1407052]$ $0$ $[2]$
650.d1 650a3 650.d 650a $[1, -1, 0, -34667, -2475759]$ $1$ $[2]$
650.d2 650a2 650.d 650a $[1, -1, 0, -2167, -38259]$ $1$ $[2, 2]$
650.d3 650a4 650.d 650a $[1, -1, 0, -1667, -56759]$ $1$ $[2]$
650.d4 650a1 650.d 650a $[1, -1, 0, -167, -259]$ $1$ $[2]$
650.e1 650d1 650.e 650d $[1, 0, 1, 299, 22048]$ $0$ trivial
650.f1 650b2 650.f 650b $[1, 1, 0, -11330, -468940]$ $1$ trivial
650.f2 650b1 650.f 650b $[1, 1, 0, -130, -780]$ $1$ trivial
650.g1 650f2 650.g 650f $[1, -1, 0, -5317, -162409]$ $0$ trivial
650.g2 650f1 650.g 650f $[1, -1, 0, -67, 341]$ $0$ trivial
650.h1 650l2 650.h 650l $[1, 0, 0, -283263, -58050983]$ $0$ trivial
650.h2 650l1 650.h 650l $[1, 0, 0, -3263, -90983]$ $0$ $[3]$
650.i1 650k1 650.i 650k $[1, 1, 1, 12, 181]$ $1$ trivial
650.j1 650h3 650.j 650h $[1, 1, 1, -11488, -478719]$ $0$ trivial
650.j2 650h2 650.j 650h $[1, 1, 1, -113, -969]$ $0$ trivial
650.j3 650h1 650.j 650h $[1, 1, 1, 12, 31]$ $0$ trivial
650.k1 650i1 650.k 650i $[1, 1, 1, -638, 6031]$ $0$ trivial
650.k2 650i2 650.k 650i $[1, 1, 1, 2487, 31031]$ $0$ trivial
650.l1 650j3 650.l 650j $[1, 1, 1, -5188, -140219]$ $0$ $[2]$
650.l2 650j1 650.l 650j $[1, 1, 1, -813, 8531]$ $0$ $[2]$
650.l3 650j2 650.l 650j $[1, 1, 1, -313, 19531]$ $0$ $[2]$
650.l4 650j4 650.l 650j $[1, 1, 1, 2812, -524219]$ $0$ $[2]$
650.m1 650m1 650.m 650m $[1, -1, 1, -555, 5197]$ $0$ trivial
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