Properties

Label 2288.j
Number of curves 1
Conductor 2288
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("2288.j1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 2288.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
2288.j1 2288i1 [0, 1, 0, -21, 131] [] 288 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2288.j1 has rank \(1\).

Modular form 2288.2.a.j

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