Properties

Label 189618.bn
Number of curves $1$
Conductor $189618$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("bn1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 189618.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
189618.bn1 189618f1 \([1, 0, 0, 926, 162200]\) \(18191447/2362932\) \(-11405421443988\) \([]\) \(403200\) \(1.1848\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 189618.bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 189618.bn do not have complex multiplication.

Modular form 189618.2.a.bn

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