Properties

Label 439569m
Number of curves $1$
Conductor $439569$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 439569m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
439569.m1 439569m1 [1, -1, 1, -155681, -51569228] [] 5728320 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569m1 has rank \(0\).

Complex multiplication

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

Modular form 439569.2.a.m

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{4} - 2q^{5} - q^{7} + 3q^{8} + 2q^{10} + 6q^{11} + q^{14} - q^{16} - 5q^{19} + O(q^{20}) \)