Properties

Label 22386.i
Number of curves 1
Conductor 22386
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("22386.i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22386.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
22386.i1 22386k1 [1, 0, 1, -2509, 48200] [] 18144 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22386.i1 has rank \(1\).

Modular form 22386.2.a.i

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - q^{7} - q^{8} + q^{9} + q^{10} - 3q^{11} + q^{12} + q^{13} + q^{14} - q^{15} + q^{16} - 3q^{17} - q^{18} + q^{19} + O(q^{20}) \)