Show commands:
SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 22736bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22736.k1 | 22736bj1 | \([0, -1, 0, -16, -39808]\) | \(-1/1421\) | \(-684766121984\) | \([]\) | \(24576\) | \(0.94991\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22736bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22736bj do not have complex multiplication.Modular form 22736.2.a.bj
sage: E.q_eigenform(10)