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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 271950.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.g1 | 271950g1 | \([1, 1, 0, -496150, 172496500]\) | \(-7347774183121/2757144096\) | \(-5068363214848500000\) | \([]\) | \(8064000\) | \(2.2990\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 271950.g do not have complex multiplication.Modular form 271950.2.a.g
sage: E.q_eigenform(10)