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SageMath
E = EllipticCurve("ga1")
E.isogeny_class()
Elliptic curves in class 444675ga
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
444675.ga1 | 444675ga1 | \([1, 1, 0, -3944525, -3024324750]\) | \(-30515071121161/85766121\) | \(-19076970354890765625\) | \([]\) | \(17418240\) | \(2.5719\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 444675ga1 has rank \(1\).
Complex multiplication
The elliptic curves in class 444675ga do not have complex multiplication.Modular form 444675.2.a.ga
sage: E.q_eigenform(10)