Properties

Label 162288.cu
Number of curves $1$
Conductor $162288$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cu1")
 
E.isogeny_class()
 

Elliptic curves in class 162288.cu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162288.cu1 162288fb1 \([0, 0, 0, -12495, -540911]\) \(-157216000/1127\) \(-1546534693872\) \([]\) \(276480\) \(1.1713\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162288.cu1 has rank \(0\).

Complex multiplication

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

Modular form 162288.2.a.cu

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