↑

Properties

Label 459914.s
Number of curves $1$
Conductor $459914$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("s1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 459914.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 459914.s do not have complex multiplication.

Modular form 459914.2.a.s

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 4 q^{5} - q^{6} - q^{8} - 2 q^{9} + 4 q^{10} + 3 q^{11} + q^{12} + q^{13} - 4 q^{15} + q^{16} + 6 q^{17} + 2 q^{18} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 459914.s

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
459914.s1 459914s1 \([1, 0, 1, -5059423, -4380678158]\) \(-934165699635529/21632\) \(-331664751436928\) \([]\) \(14515200\) \(2.3089\) \(\Gamma_0(N)\)-optimal