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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 71148.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71148.bg1 | 71148bi1 | \([0, -1, 0, -10061, 391833]\) | \(-30908416/3\) | \(-10932886272\) | \([]\) | \(117936\) | \(0.96208\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 71148.bg do not have complex multiplication.Modular form 71148.2.a.bg
sage: E.q_eigenform(10)