Show commands:
SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 350658.cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.cn1 | 350658cn1 | \([1, -1, 1, 9905521, 8050070999]\) | \(83228502970940543/69854999176704\) | \(-90215493911234586994176\) | \([]\) | \(40550400\) | \(3.0924\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658.cn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 350658.cn do not have complex multiplication.Modular form 350658.2.a.cn
sage: E.q_eigenform(10)