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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 74025bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 74025.g1 | 74025bg1 | \([0, 0, 1, 3075, -39344]\) | \(282300416/222075\) | \(-2529573046875\) | \([]\) | \(165888\) | \(1.0679\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74025bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 74025bg do not have complex multiplication.Modular form 74025.2.a.bg
sage: E.q_eigenform(10)