Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 363726.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363726.f1 | 363726f1 | \([1, -1, 0, -219456, 39617716]\) | \(905072904217/198396\) | \(256222079177724\) | \([]\) | \(2211840\) | \(1.7586\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363726.f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 363726.f do not have complex multiplication.Modular form 363726.2.a.f
sage: E.q_eigenform(10)