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SageMath
E = EllipticCurve("fg1")
E.isogeny_class()
Elliptic curves in class 227430fg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227430.m1 | 227430fg1 | \([1, -1, 0, -463050, -121498380]\) | \(-320153881321/1021440\) | \(-35031763078018560\) | \([]\) | \(2903040\) | \(2.0413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227430fg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227430fg do not have complex multiplication.Modular form 227430.2.a.fg
sage: E.q_eigenform(10)