Properties

Label 169050.eb
Number of curves $1$
Conductor $169050$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands for: SageMath
sage: E = EllipticCurve("eb1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 169050.eb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
169050.eb1 169050gr1 \([1, 0, 1, 11142574, -9606244252]\) \(83228502970940543/69854999176704\) \(-128412043720938264000000\) \([]\) \(20528640\) \(3.1218\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 169050.eb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 169050.eb do not have complex multiplication.

Modular form 169050.2.a.eb

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{8} + q^{9} + 4q^{11} + q^{12} - 3q^{13} + q^{16} - 4q^{17} - q^{18} + O(q^{20})\)  Toggle raw display