Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 11088t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11088.t1 11088t1 \([0, 0, 0, -14943, 728201]\) \(-31636584484096/1331669031\) \(-15532587577584\) \([]\) \(23040\) \(1.2978\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11088t1 has rank \(1\).

Complex multiplication

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

Modular form 11088.2.a.t

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