Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 6336.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6336.g1 | 6336be1 | \([0, 0, 0, 6, -34]\) | \(512/11\) | \(-513216\) | \([]\) | \(960\) | \(-0.22400\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6336.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6336.g do not have complex multiplication.Modular form 6336.2.a.g
sage: E.q_eigenform(10)