Properties

Label 22386y
Number of curves 1
Conductor 22386
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("22386.bb1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22386y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
22386.bb1 22386y1 [1, 0, 0, -2765, 55713] [] 16128 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22386y1 has rank \(1\).

Modular form 22386.2.a.bb

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