Properties

Label 114240ey
Number of curves 1
Conductor 114240
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("114240.kj1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 114240ey

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
114240.kj1 114240ey1 [0, 1, 0, -19039405, 31975155653] [] 6048000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 114240ey1 has rank \(1\).

Modular form 114240.2.a.kj

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