Properties

Label 162624u
Number of curves $1$
Conductor $162624$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 162624u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162624.ge1 162624u1 \([0, 1, 0, -1041, 13671]\) \(-91625216/9261\) \(-12622224384\) \([]\) \(110592\) \(0.67822\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162624u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 162624u do not have complex multiplication.

Modular form 162624.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - q^{7} + q^{9} + q^{13} - q^{15} + 8 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display