Properties

Label 4400.y
Number of curves $1$
Conductor $4400$
CM no
Rank $0$

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

Elliptic curves in class 4400.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4400.y1 4400p1 \([0, -1, 0, -3288, 73712]\) \(-38401771585/22528\) \(-2306867200\) \([]\) \(3168\) \(0.74158\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4400.y1 has rank \(0\).

Complex multiplication

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

Modular form 4400.2.a.y

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{9} - q^{11} - 3 q^{13} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display