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SageMath
sage: E = EllipticCurve("be1")
sage: E.isogeny_class()
Elliptic curves in class 2800.be
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 2800.be1 | 2800q1 | [0, 0, 0, 800, -26500] | [] | 5760 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2800.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2800.be do not have complex multiplication.Modular form 2800.2.a.be
sage: E.q_eigenform(10)