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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 47432.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47432.g1 | 47432d1 | \([0, -1, 0, 719, 5909]\) | \(1024\) | \(-40087249664\) | \([]\) | \(27648\) | \(0.72155\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47432.g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 47432.g do not have complex multiplication.Modular form 47432.2.a.g
sage: E.q_eigenform(10)