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SageMath
sage: E = EllipticCurve("bg1")
sage: E.isogeny_class()
Elliptic curves in class 381150bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 381150.bg1 | 381150bg1 | [1, -1, 0, 4878, 374996] | [] | 1597440 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 381150bg do not have complex multiplication.Modular form 381150.2.a.bg
sage: E.q_eigenform(10)