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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 77658b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77658.i1 | 77658b1 | \([1, 1, 0, -10685409, -13672229067]\) | \(-11543820929593/224042112\) | \(-2618649075672714333312\) | \([]\) | \(4854528\) | \(2.9034\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77658b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77658b do not have complex multiplication.Modular form 77658.2.a.b
sage: E.q_eigenform(10)