Properties

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

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 439569.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
439569.x1 439569x1 \([1, -1, 1, -2646572, 728909952]\) \(83521/39\) \(957290215976954948439\) \([]\) \(13160448\) \(2.7203\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439569.x1 has rank \(1\).

Complex multiplication

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

Modular form 439569.2.a.x

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