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SageMath
E = EllipticCurve("gb1")
E.isogeny_class()
Elliptic curves in class 379050.gb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.gb1 | 379050gb1 | \([1, 1, 1, 1617, 65781]\) | \(28702027/129024\) | \(-2101817088000\) | \([]\) | \(671616\) | \(1.0469\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.gb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.gb do not have complex multiplication.Modular form 379050.2.a.gb
sage: E.q_eigenform(10)