Show commands:
SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 86640.ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86640.ce1 | 86640dc1 | \([0, 1, 0, 66304, 13758900]\) | \(463391/1440\) | \(-100173130870947840\) | \([]\) | \(656640\) | \(1.9454\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86640.ce1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86640.ce do not have complex multiplication.Modular form 86640.2.a.ce
sage: E.q_eigenform(10)