Show commands:
SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 286650.cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286650.cw1 | 286650cw1 | \([1, -1, 0, -1017, -32859]\) | \(-29791/104\) | \(-406326375000\) | \([]\) | \(368640\) | \(0.91354\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286650.cw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 286650.cw do not have complex multiplication.Modular form 286650.2.a.cw
sage: E.q_eigenform(10)