Show commands for:
SageMath
sage: E = EllipticCurve("r1")
sage: E.isogeny_class()
Elliptic curves in class 221067.r
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 221067.r1 | 221067t1 | [0, 0, 1, -1452, 4144] | [] | 139776 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221067.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 221067.r do not have complex multiplication.Modular form 221067.2.a.r
sage: E.q_eigenform(10)