Properties

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

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 11154.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11154.ba1 11154z1 \([1, 1, 1, -4365, 101499]\) \(54424690756969/4209228936\) \(711359690184\) \([]\) \(18144\) \(1.0186\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11154.ba1 has rank \(1\).

Complex multiplication

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

Modular form 11154.2.a.ba

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