Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 11154n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11154.o1 11154n1 \([1, 0, 1, -957389, -358913410]\) \(703971110401/3897234\) \(537266801622645666\) \([]\) \(260832\) \(2.2449\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11154n1 has rank \(0\).

Complex multiplication

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

Modular form 11154.2.a.n

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