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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 333795.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333795.g1 | 333795g1 | \([0, 1, 1, -5719950, 7190541254]\) | \(-4212633930164198715392/2110866006498046875\) | \(-10370684689924904296875\) | \([]\) | \(37877760\) | \(2.9294\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333795.g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 333795.g do not have complex multiplication.Modular form 333795.2.a.g
sage: E.q_eigenform(10)