Properties

Label 22736bj
Number of curves $1$
Conductor $22736$
CM no
Rank $0$

Related objects

Downloads

Learn more

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)
 
\(q - q^{3} - q^{5} - 2 q^{9} + 5 q^{11} + 5 q^{13} + q^{15} + 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display