Properties

Label 11088.e
Number of curves $1$
Conductor $11088$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 11088.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11088.e1 11088g1 \([0, 0, 0, -13359, -594351]\) \(-610325920583424/55240493\) \(-23863892976\) \([]\) \(15360\) \(1.0308\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11088.e1 has rank \(0\).

Complex multiplication

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

Modular form 11088.2.a.e

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