Newform orbit 16245.2.a.bw

• Label: 16245.2.a.bw
• Level: $16245$
• Weight: $2$
• Character orbit: 16245.a
• Self dual: yes
• Analytic conductor: $129.717$
• Dimension: $6$

Newspace parameters

Level:	$N$	$=$	$16245 = 3^{2} \cdot 5 \cdot 19^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	16245.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$129.716978084$
Dimension:	$6$
Coefficient field:	6.6.79815328.1
Defining polynomial:	$x^{6} - 3x^{5} - 4x^{4} + 11x^{3} + 5x^{2} - 6x - 2$
Twist minimal:	not computed
Fricke sign:	$+1$
Sato-Tate group:	$\mathrm{SU}(2)$

$q$-expansion

The algebraic $q$-expansion of this newform has not been computed, but we have computed the trace expansion.

$\operatorname{Tr}(f)(q) =$ 6 * q - 3 * q^2 + 5 * q^4 - 6 * q^5 + 2 * q^7 - 6 * q^8 + 3 * q^10 + 8 * q^13 - 10 * q^14 + 3 * q^16 - 4 * q^17 - 5 * q^20 + 2 * q^23 + 6 * q^25 - 20 * q^26 + 26 * q^28 - 4 * q^29 + 12 * q^31 - 15 * q^32 - 7 * q^34 - 2 * q^35 + 6 * q^40 - 12 * q^41 + 4 * q^43 - 6 * q^44 + 24 * q^46 - 6 * q^47 + 16 * q^49 - 3 * q^50 + 20 * q^52 - 26 * q^53 - 22 * q^56 - 10 * q^58 - 16 * q^59 - 20 * q^61 + 25 * q^62 + 14 * q^64 - 8 * q^65 + 12 * q^67 + 27 * q^68 + 10 * q^70 + 8 * q^71 + 4 * q^73 + 16 * q^74 + 24 * q^77 + 12 * q^79 - 3 * q^80 - 26 * q^82 - 22 * q^83 + 4 * q^85 + 44 * q^86 - 16 * q^88 + 8 * q^89 - 2 * q^91 - 36 * q^92 - 7 * q^94 - 30 * q^97 - 49 * q^98

Atkin-Lehner signs

$p$	Sign
$3$	$+1$
$5$	$+1$
$19$	$+1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.