Properties

Label 11913a
Number of curves $1$
Conductor $11913$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 11913a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11913.f1 11913a1 \([0, -1, 1, -481, 9369]\) \(-262144/627\) \(-29497767387\) \([]\) \(10080\) \(0.69713\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11913a1 has rank \(0\).

Complex multiplication

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

Modular form 11913.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} + 4 q^{5} + 2 q^{7} + q^{9} - q^{11} + 2 q^{12} - q^{13} - 4 q^{15} + 4 q^{16} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display