Properties

Label 22386.e
Number of curves 1
Conductor 22386
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("22386.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22386.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
22386.e1 22386d1 [1, 1, 0, -52, -182] [] 3200 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22386.e1 has rank \(0\).

Modular form 22386.2.a.e

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