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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 56350.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56350.bg1 | 56350cb1 | \([1, 1, 1, -47188, -9519819]\) | \(-158034076225/438790688\) | \(-32264553532820000\) | \([]\) | \(460800\) | \(1.8550\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56350.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 56350.bg do not have complex multiplication.Modular form 56350.2.a.bg
sage: E.q_eigenform(10)