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SageMath
E = EllipticCurve("gb1")
E.isogeny_class()
Elliptic curves in class 100800gb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100800.ip1 | 100800gb1 | \([0, 0, 0, -180, -1080]\) | \(-34560/7\) | \(-130636800\) | \([]\) | \(36864\) | \(0.27981\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800gb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100800gb do not have complex multiplication.Modular form 100800.2.a.gb
sage: E.q_eigenform(10)