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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 2541f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2541.g1 | 2541f1 | \([1, 1, 0, 361, -14406]\) | \(24167/441\) | \(-94532266521\) | \([]\) | \(3168\) | \(0.78646\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2541f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2541f do not have complex multiplication.Modular form 2541.2.a.f
sage: E.q_eigenform(10)