Properties

Label 10584.n
Number of curves $1$
Conductor $10584$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 10584.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10584.n1 10584o1 \([0, 0, 0, 1029, 14406]\) \(756\) \(-159385218048\) \([]\) \(8064\) \(0.83539\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10584.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10584.n do not have complex multiplication.

Modular form 10584.2.a.n

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