Properties

Label 22386c
Number of curves 1
Conductor 22386
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("22386.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22386c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
22386.a1 22386c1 [1, 1, 0, -60378, -5556204] [] 118272 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22386c1 has rank \(2\).

Modular form 22386.2.a.a

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