Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("22386.f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22386.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
22386.f1 22386a1 [1, 1, 0, -171, -3] [] 13056 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22386.f1 has rank \(1\).

Modular form 22386.2.a.f

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