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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 415794bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
415794.bg1 | 415794bg1 | \([1, 1, 1, -455480, -117308551]\) | \(70593496254289/824180736\) | \(122008327950434304\) | \([]\) | \(6286896\) | \(2.0909\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 415794bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 415794bg do not have complex multiplication.Modular form 415794.2.a.bg
sage: E.q_eigenform(10)