Properties

Label 22743.h
Number of curves $1$
Conductor $22743$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 22743.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22743.h1 22743j1 \([1, -1, 1, -11, -16]\) \(-13851/7\) \(-68229\) \([]\) \(2016\) \(-0.36758\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22743.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 22743.h do not have complex multiplication.

Modular form 22743.2.a.h

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