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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 11310.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11310.g1 | 11310g1 | \([1, 0, 1, -49743, 4270306]\) | \(-13611534355369215721/15998696220000\) | \(-15998696220000\) | \([]\) | \(49600\) | \(1.4455\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11310.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11310.g do not have complex multiplication.Modular form 11310.2.a.g
sage: E.q_eigenform(10)