Show commands for:
SageMath
sage: E = EllipticCurve("a1")
sage: E.isogeny_class()
Elliptic curves in class 1800.a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 1800.a1 | 1800x1 | [0, 0, 0, -2100, -44300] | [] | 2688 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1800.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1800.a do not have complex multiplication.Modular form 1800.2.a.a
sage: E.q_eigenform(10)