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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 33800g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33800.k1 | 33800g1 | \([0, -1, 0, -18308, 667237]\) | \(3328\) | \(203932680250000\) | \([]\) | \(79872\) | \(1.4510\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33800g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33800g do not have complex multiplication.Modular form 33800.2.a.g
sage: E.q_eigenform(10)