Show commands for:
SageMath
sage: E = EllipticCurve("q1")
sage: E.isogeny_class()
Elliptic curves in class 3528.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 3528.q1 | 3528s1 | [0, 0, 0, 17493, 2012038] | [] | 13440 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3528.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3528.q do not have complex multiplication.Modular form 3528.2.a.q
sage: E.q_eigenform(10)