↑

Properties

Label 444048y
Number of curves $1$
Conductor $444048$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("y1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 444048y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 444048y do not have complex multiplication.

Modular form 444048.2.a.y

Copy content sage:E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} + q^{9} - q^{11} - q^{15} + 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 444048y

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
444048.y1 444048y1 \([0, -1, 0, -185463947360, 31704893361448704]\) \(-11872994862835724607989/436955947638718464\) \(-25964477306548469914312002540404736\) \([]\) \(3012065280\) \(5.3746\) \(\Gamma_0(N)\)-optimal