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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 202800.bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 202800.bg1 | 202800ez1 | \([0, -1, 0, 867, -4863]\) | \(106496/75\) | \(-50700000000\) | \([]\) | \(221184\) | \(0.74259\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202800.bg do not have complex multiplication.Modular form 202800.2.a.bg
sage: E.q_eigenform(10)