Properties

Label 162288.u
Number of curves $1$
Conductor $162288$
CM no
Rank $1$

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

Elliptic curves in class 162288.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162288.u1 162288i1 \([0, 0, 0, -11739, -568694]\) \(-174676879/35328\) \(-36182673063936\) \([]\) \(552960\) \(1.3241\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162288.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 162288.u do not have complex multiplication.

Modular form 162288.2.a.u

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + 2 q^{11} - 7 q^{13} - 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display