Properties

Label 189618bn
Number of curves $1$
Conductor $189618$
CM no
Rank $2$

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

Elliptic curves in class 189618bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
189618.f1 189618bn1 \([1, 1, 0, -234575, 43946661]\) \(-1749947265625/14648832\) \(-11949502289167872\) \([]\) \(2201472\) \(1.9111\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 189618bn1 has rank \(2\).

Complex multiplication

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

Modular form 189618.2.a.bn

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