Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("22386.g1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22386.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
22386.g1 22386j1 [1, 0, 1, -90353, 11069732] [] 252000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22386.g1 has rank \(1\).

Modular form 22386.2.a.g

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