Properties

Label 439569.x
Number of curves $1$
Conductor $439569$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("x1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 439569.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
439569.x1 439569x1 [1, -1, 1, -2646572, 728909952] [] 13160448 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569.x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 439569.x do not have complex multiplication.

Modular form 439569.2.a.x

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{4} + q^{5} - 3q^{7} + 3q^{8} - q^{10} - 2q^{11} + 3q^{14} - q^{16} - 5q^{19} + O(q^{20}) \)