Show commands for:
SageMath
sage: E = EllipticCurve("k1")
sage: E.isogeny_class()
Elliptic curves in class 1400.k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 1400.k1 | 1400j1 | [0, 1, 0, -33, 563] | [] | 384 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1400.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1400.k do not have complex multiplication.Modular form 1400.2.a.k
sage: E.q_eigenform(10)