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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 309168bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 309168.bg1 | 309168bg1 | \([0, 0, 0, -3267, -84078]\) | \(-191328588/40793\) | \(-822198905856\) | \([]\) | \(254976\) | \(1.0076\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309168bg do not have complex multiplication.Modular form 309168.2.a.bg
sage: E.q_eigenform(10)