Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 11913f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11913.g1 11913f1 \([1, 0, 1, 7573, 3557459]\) \(2828663/323433\) \(-5493044745039753\) \([]\) \(82080\) \(1.6996\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11913f1 has rank \(0\).

Complex multiplication

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

Modular form 11913.2.a.f

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} - q^{4} - 2 q^{5} + q^{6} + 3 q^{7} - 3 q^{8} + q^{9} - 2 q^{10} - q^{11} - q^{12} - 6 q^{13} + 3 q^{14} - 2 q^{15} - q^{16} - 3 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display