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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 106560.bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 106560.bg1 | 106560eu1 | \([0, 0, 0, 852, -37168]\) | \(357911/3330\) | \(-636372910080\) | \([]\) | \(122880\) | \(0.94614\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106560.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106560.bg do not have complex multiplication.Modular form 106560.2.a.bg
sage: E.q_eigenform(10)