Properties

Label 439569.k
Number of curves $1$
Conductor $439569$
CM no
Rank $2$

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Show commands for: SageMath
sage: E = EllipticCurve("k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 439569.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
439569.k1 439569k1 [1, -1, 1, -202109459, -1104369572068] [] 135834624 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569.k1 has rank \(2\).

Complex multiplication

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

Modular form 439569.2.a.k

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