Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 35378.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35378.g1 | 35378d1 | \([1, -1, 0, -58, 3884]\) | \(-27/8\) | \(-6455635928\) | \([]\) | \(39600\) | \(0.56155\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35378.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35378.g do not have complex multiplication.Modular form 35378.2.a.g
sage: E.q_eigenform(10)