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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 3249g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3249.b1 | 3249g1 | \([0, 0, 1, -7581, 279504]\) | \(-1404928/171\) | \(-5864692479579\) | \([]\) | \(11520\) | \(1.1850\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3249g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3249g do not have complex multiplication.Modular form 3249.2.a.g
sage: E.q_eigenform(10)