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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 9800.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.bg1 | 9800bi1 | \([0, -1, 0, 572, -3303]\) | \(1280\) | \(-16141442800\) | \([]\) | \(5376\) | \(0.64672\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9800.bg do not have complex multiplication.Modular form 9800.2.a.bg
sage: E.q_eigenform(10)