Properties

Label 11913.c
Number of curves $1$
Conductor $11913$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 11913.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11913.c1 11913e1 \([1, 1, 1, -55, 98]\) \(51026761/11979\) \(4324419\) \([]\) \(2160\) \(-0.014927\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11913.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11913.c do not have complex multiplication.

Modular form 11913.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + q^{5} + q^{6} - 3 q^{7} + 3 q^{8} + q^{9} - q^{10} + q^{11} + q^{12} - 6 q^{13} + 3 q^{14} - q^{15} - q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display