Properties

Label 11088.p
Number of curves $1$
Conductor $11088$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 11088.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11088.p1 11088a1 \([0, 0, 0, -3, 9]\) \(-6912/77\) \(-33264\) \([]\) \(512\) \(-0.45031\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11088.p1 has rank \(1\).

Complex multiplication

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

Modular form 11088.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - q^{11} - q^{13} + 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display