Properties

Label 189618.x
Number of curves $1$
Conductor $189618$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 189618.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
189618.x1 189618bh1 \([1, 0, 1, 152096, 534193454]\) \(477017570471/151393093632\) \(-123495997422851868672\) \([]\) \(13178880\) \(2.5344\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 189618.x1 has rank \(0\).

Complex multiplication

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

Modular form 189618.2.a.x

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