Properties

Label 23826.j
Number of curves $1$
Conductor $23826$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 23826.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23826.j1 23826h1 \([1, 1, 0, -40439, -3592683]\) \(-430638553/76032\) \(-1291294265133312\) \([]\) \(131328\) \(1.6252\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23826.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 23826.j do not have complex multiplication.

Modular form 23826.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + 2 q^{5} + q^{6} - 3 q^{7} - q^{8} + q^{9} - 2 q^{10} + q^{11} - q^{12} - 2 q^{13} + 3 q^{14} - 2 q^{15} + q^{16} + q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display