Properties

Label 4400.u
Number of curves $1$
Conductor $4400$
CM no
Rank $1$

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

Elliptic curves in class 4400.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4400.u1 4400h1 \([0, 1, 0, 792, 5588]\) \(13718/11\) \(-44000000000\) \([]\) \(1920\) \(0.73017\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4400.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4400.u do not have complex multiplication.

Modular form 4400.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} - 2 q^{9} + q^{11} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display