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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 231280.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
231280.g1 | 231280g1 | \([0, 0, 0, -372547, -1293927614]\) | \(-581453267835321/73208248217600\) | \(-719966224262994329600\) | \([]\) | \(14653440\) | \(2.6816\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 231280.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 231280.g do not have complex multiplication.Modular form 231280.2.a.g
sage: E.q_eigenform(10)