Properties

Label 11154.f
Number of curves $1$
Conductor $11154$
CM no
Rank $0$

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

Elliptic curves in class 11154.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11154.f1 11154g1 \([1, 1, 0, 20277, -2453979]\) \(1130197991/3865224\) \(-3152981960346504\) \([]\) \(74880\) \(1.6570\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11154.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 11154.f do not have complex multiplication.

Modular form 11154.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + 3 q^{7} - q^{8} + q^{9} + q^{10} + q^{11} - q^{12} - 3 q^{14} + q^{15} + q^{16} + 5 q^{17} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display