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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 320790bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 320790.bg1 | 320790bg1 | \([1, 0, 1, 427, -13174]\) | \(357911/3330\) | \(-80378104770\) | \([]\) | \(352000\) | \(0.77372\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 320790bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 320790bg do not have complex multiplication.Modular form 320790.2.a.bg
sage: E.q_eigenform(10)