Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 316239.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
316239.g1 | 316239g1 | \([1, 0, 0, -935, 12294]\) | \(-66036512089/10085229\) | \(-13806678501\) | \([]\) | \(250560\) | \(0.67488\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 316239.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 316239.g do not have complex multiplication.Modular form 316239.2.a.g
sage: E.q_eigenform(10)