Properties

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

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Show commands: SageMath
E = EllipticCurve("bn1")
 
E.isogeny_class()
 

Elliptic curves in class 10584bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10584.c1 10584bn1 \([0, 0, 0, -5292, 185220]\) \(-3072\) \(-5335338855168\) \([]\) \(23760\) \(1.1547\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10584bn1 has rank \(0\).

Complex multiplication

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

Modular form 10584.2.a.bn

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