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SageMath
E = EllipticCurve("ga1")
E.isogeny_class()
Elliptic curves in class 310464ga
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.ga1 | 310464ga1 | \([0, 0, 0, -588, 24696]\) | \(-6912/77\) | \(-250462485504\) | \([]\) | \(196608\) | \(0.86922\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464ga1 has rank \(2\).
Complex multiplication
The elliptic curves in class 310464ga do not have complex multiplication.Modular form 310464.2.a.ga
sage: E.q_eigenform(10)