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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 99450.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
99450.bg1 | 99450q1 | \([1, -1, 0, 860058, 134284716]\) | \(6176736766011239/4260587175000\) | \(-48530750790234375000\) | \([]\) | \(2764800\) | \(2.4660\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 99450.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 99450.bg do not have complex multiplication.Modular form 99450.2.a.bg
sage: E.q_eigenform(10)