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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 111573bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111573.bb1 | 111573bg1 | \([1, -1, 0, -2655, -48546]\) | \(24137569/1771\) | \(151891800291\) | \([]\) | \(92160\) | \(0.89163\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111573bg1 has rank \(2\).
Complex multiplication
The elliptic curves in class 111573bg do not have complex multiplication.Modular form 111573.2.a.bg
sage: E.q_eigenform(10)