Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("22386.q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22386.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
22386.q1 22386o1 [1, 1, 1, 280, 8969] [] 18400 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22386.q1 has rank \(1\).

Modular form 22386.2.a.q

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