Properties

Label 139425.z
Number of curves $1$
Conductor $139425$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 139425.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139425.z1 139425x1 \([0, 1, 1, 2817, -7081]\) \(5537792/3267\) \(-1457949796875\) \([]\) \(165888\) \(1.0234\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139425.z1 has rank \(2\).

Complex multiplication

The elliptic curves in class 139425.z do not have complex multiplication.

Modular form 139425.2.a.z

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} - q^{7} + q^{9} - q^{11} - 2 q^{12} + 4 q^{16} - 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display