Properties

Label 11109.k
Number of curves $1$
Conductor $11109$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 11109.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11109.k1 11109f1 \([0, 1, 1, 882, -7705]\) \(512000/483\) \(-71501334387\) \([]\) \(10560\) \(0.76992\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11109.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11109.k do not have complex multiplication.

Modular form 11109.2.a.k

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + q^{3} + 2 q^{4} + 2 q^{6} - q^{7} + q^{9} - q^{11} + 2 q^{12} + 2 q^{13} - 2 q^{14} - 4 q^{16} - 4 q^{17} + 2 q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display