Properties

Label 11088.s
Number of curves 1
Conductor 11088
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("11088.s1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 11088.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
11088.s1 11088u1 [0, 0, 0, -3, -79] [] 1536 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11088.s1 has rank \(1\).

Modular form 11088.2.a.s

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