Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 439569.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
439569.c1 439569c1 [0, 0, 1, 8619, -2136794] [] 2792448 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569.c1 has rank \(0\).

Complex multiplication

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

Modular form 439569.2.a.c

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