Show commands for:
SageMath
sage: E = EllipticCurve("w1")
sage: E.isogeny_class()
Elliptic curves in class 338130.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
---|---|---|---|---|---|
338130.w1 | 338130w1 | [1, -1, 0, -10305, -401459] | [] | 587520 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338130.w do not have complex multiplication.Modular form 338130.2.a.w
sage: E.q_eigenform(10)