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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
690.a1 690a2 690.a 690a $[1, 1, 0, -1748, -25392]$ $1$ $[2]$
690.a2 690a1 690.a 690a $[1, 1, 0, 172, -1968]$ $1$ $[2]$
690.b1 690b2 690.b 690b $[1, 1, 0, -753, -3843]$ $0$ $[2]$
690.b2 690b1 690.b 690b $[1, 1, 0, 167, -347]$ $0$ $[2]$
690.c1 690c2 690.c 690c $[1, 1, 0, -3172057, -2148591611]$ $0$ $[2]$
690.c2 690c1 690.c 690c $[1, 1, 0, -22777, -90852059]$ $0$ $[2]$
690.d1 690d2 690.d 690d $[1, 1, 0, -242, -1554]$ $0$ $[2]$
690.d2 690d1 690.d 690d $[1, 1, 0, -12, -36]$ $0$ $[2]$
690.e1 690e3 690.e 690e $[1, 0, 1, -10644, 420826]$ $1$ $[2]$
690.e2 690e2 690.e 690e $[1, 0, 1, -924, 922]$ $1$ $[2, 2]$
690.e3 690e1 690.e 690e $[1, 0, 1, -604, -5734]$ $1$ $[2]$
690.e4 690e4 690.e 690e $[1, 0, 1, 3676, 8282]$ $1$ $[2]$
690.f1 690f3 690.f 690f $[1, 0, 1, -1473, -21872]$ $0$ $[2]$
690.f2 690f2 690.f 690f $[1, 0, 1, -93, -344]$ $0$ $[2, 2]$
690.f3 690f1 690.f 690f $[1, 0, 1, -13, 8]$ $0$ $[2]$
690.f4 690f4 690.f 690f $[1, 0, 1, 7, -1024]$ $0$ $[4]$
690.g1 690h2 690.g 690h $[1, 1, 1, -116, 413]$ $1$ $[2]$
690.g2 690h1 690.g 690h $[1, 1, 1, 4, 29]$ $1$ $[2]$
690.h1 690g3 690.h 690g $[1, 1, 1, -1382411, -626186311]$ $0$ $[2]$
690.h2 690g4 690.h 690g $[1, 1, 1, -101131, -6258247]$ $0$ $[2]$
690.h3 690g2 690.h 690g $[1, 1, 1, -86411, -9808711]$ $0$ $[2, 2]$
690.h4 690g1 690.h 690g $[1, 1, 1, -4491, -207687]$ $0$ $[4]$
690.i1 690i2 690.i 690i $[1, 0, 0, -786, -5940]$ $0$ $[2]$
690.i2 690i1 690.i 690i $[1, 0, 0, 134, -604]$ $0$ $[2]$
690.j1 690j2 690.j 690j $[1, 0, 0, -3925, -94975]$ $0$ $[2]$
690.j2 690j1 690.j 690j $[1, 0, 0, -245, -1503]$ $0$ $[2]$
690.k1 690k4 690.k 690k $[1, 0, 0, -110400, 14109732]$ $0$ $[4]$
690.k2 690k5 690.k 690k $[1, 0, 0, -25830, -1370850]$ $0$ $[2]$
690.k3 690k3 690.k 690k $[1, 0, 0, -7080, 207900]$ $0$ $[2, 2]$
690.k4 690k2 690.k 690k $[1, 0, 0, -6900, 220032]$ $0$ $[2, 4]$
690.k5 690k1 690.k 690k $[1, 0, 0, -420, 3600]$ $0$ $[8]$
690.k6 690k6 690.k 690k $[1, 0, 0, 8790, 1010922]$ $0$ $[2]$
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