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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 2541g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2541.d1 | 2541g1 | \([1, 1, 1, -3220, 69158]\) | \(-30515071121161/85766121\) | \(-10377700641\) | \([]\) | \(2592\) | \(0.79421\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2541g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2541g do not have complex multiplication.Modular form 2541.2.a.g
sage: E.q_eigenform(10)