Properties

Label 11154b
Number of curves $1$
Conductor $11154$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 11154b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11154.i1 11154b1 \([1, 1, 0, -7777, 274357]\) \(-10779215329/658944\) \(-3180596829696\) \([]\) \(24192\) \(1.1537\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11154b1 has rank \(1\).

Complex multiplication

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

Modular form 11154.2.a.b

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