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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 40310g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40310.g1 | 40310g1 | \([1, 1, 0, 358, 2944]\) | \(5052146350679/6298437500\) | \(-6298437500\) | \([]\) | \(21504\) | \(0.56635\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40310g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 40310g do not have complex multiplication.Modular form 40310.2.a.g
sage: E.q_eigenform(10)