Properties

Label 152592.x
Number of curves $1$
Conductor $152592$
CM no
Rank $1$

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

Elliptic curves in class 152592.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
152592.x1 152592ca1 \([0, -1, 0, -445445, -165396327]\) \(-18939904/11979\) \(-6182295278970514176\) \([]\) \(2467584\) \(2.3072\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 152592.x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 152592.x do not have complex multiplication.

Modular form 152592.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{7} + q^{9} + q^{11} - q^{15} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display