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SageMath
E = EllipticCurve("ga1")
E.isogeny_class()
Elliptic curves in class 121968.ga
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121968.ga1 | 121968bu1 | \([0, 0, 0, -1964556, -1061003988]\) | \(-1905527808/2401\) | \(-1056559161354326784\) | \([]\) | \(3075072\) | \(2.3671\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121968.ga1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121968.ga do not have complex multiplication.Modular form 121968.2.a.ga
sage: E.q_eigenform(10)