Show commands:
SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 271440p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271440.p1 | 271440p1 | \([0, 0, 0, -7162923, 7386252122]\) | \(-13611534355369215721/15998696220000\) | \(-47771850933780480000\) | \([]\) | \(9523200\) | \(2.6880\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271440p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 271440p do not have complex multiplication.Modular form 271440.2.a.p
sage: E.q_eigenform(10)