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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 5550.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5550.bg1 | 5550bk1 | \([1, 0, 0, -88, 542]\) | \(-4826809/5550\) | \(-86718750\) | \([]\) | \(2688\) | \(0.21741\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5550.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5550.bg do not have complex multiplication.Modular form 5550.2.a.bg
sage: E.q_eigenform(10)