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SageMath
E = EllipticCurve("fg1")
E.isogeny_class()
Elliptic curves in class 356928fg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 356928.fg1 | 356928fg1 | \([0, 1, 0, 451, -363]\) | \(5537792/3267\) | \(-5971762368\) | \([]\) | \(186624\) | \(0.56523\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 356928fg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 356928fg do not have complex multiplication.Modular form 356928.2.a.fg
sage: E.q_eigenform(10)