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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 240149p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
240149.p1 | 240149p1 | \([1, 0, 1, -173, 1366705]\) | \(-1/1421\) | \(-806942207150261\) | \([]\) | \(787968\) | \(1.5392\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 240149p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 240149p do not have complex multiplication.Modular form 240149.2.a.p
sage: E.q_eigenform(10)