Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 326700.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
326700.g1 | 326700g1 | \([0, 0, 0, -14636160, -3388859100]\) | \(34527510528/19487171\) | \(195699036421150235424000\) | \([]\) | \(37739520\) | \(3.1593\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 326700.g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 326700.g do not have complex multiplication.Modular form 326700.2.a.g
sage: E.q_eigenform(10)