Show commands for:
SageMath
sage: E = EllipticCurve("pr1")
sage: E.isogeny_class()
Elliptic curves in class 235200.pr
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 235200.pr1 | 235200pr1 | [0, 1, 0, 1167, -480537] | [] | 737280 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.pr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235200.pr do not have complex multiplication.Modular form 235200.2.a.pr
sage: E.q_eigenform(10)