Properties

Label 439569f
Number of curves $1$
Conductor $439569$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 439569f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
439569.f1 439569f1 [0, 0, 1, -1904799, 1025575528] [] 13590720 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569f1 has rank \(1\).

Complex multiplication

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

Modular form 439569.2.a.f

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