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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 62400.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.bg1 | 62400fp1 | \([0, -1, 0, -242453, 46811277]\) | \(-769623354048512/15247889631\) | \(-31227677964288000\) | \([]\) | \(537600\) | \(1.9579\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62400.bg do not have complex multiplication.Modular form 62400.2.a.bg
sage: E.q_eigenform(10)