Properties

Label 440440.u
Number of curves $1$
Conductor $440440$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 440440.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
440440.u1 440440u1 \([0, -1, 0, -2833376, -1925425940]\) \(-693346671296498/40610171875\) \(-147340076435552000000\) \([]\) \(14851200\) \(2.6260\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 440440.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 440440.u do not have complex multiplication.

Modular form 440440.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} - 2 q^{9} + q^{13} + q^{15} + 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display