Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 439569y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
439569.y1 439569y1 \([1, -1, 1, -539, -4624]\) \(77571\) \(222861483\) \([]\) \(124416\) \(0.41021\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569y1 has rank \(1\).

Complex multiplication

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

Modular form 439569.2.a.y

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