Properties

Label 11088h
Number of curves $1$
Conductor $11088$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 11088h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11088.bx1 11088h1 \([0, 0, 0, -120231, 16047477]\) \(-610325920583424/55240493\) \(-17396777979504\) \([]\) \(46080\) \(1.5801\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11088h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11088h do not have complex multiplication.

Modular form 11088.2.a.h

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + q^{7} + q^{11} - 3 q^{13} - 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display