Newspace parameters
| Level: | \( N \) | \(=\) | \( 45760 = 2^{6} \cdot 5 \cdot 11 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 45760.a (trivial) |
Newform invariants
| Self dual: | yes |
| Analytic conductor: | \(365.395439649\) |
| Dimension: | \(9\) |
| Coefficient field: | \(\mathbb{Q}[x]/(x^{9} - \cdots)\) |
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| Defining polynomial: |
\( x^{9} - 4x^{8} - 12x^{7} + 55x^{6} + 38x^{5} - 234x^{4} + 6x^{3} + 288x^{2} - 108x - 16 \)
|
| 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.
Atkin-Lehner signs
| \( p \) | Sign |
|---|---|
| \(2\) | \( -1 \) |
| \(5\) | \( +1 \) |
| \(11\) | \( -1 \) |
| \(13\) | \( -1 \) |
Inner twists
Inner twists of this newform have not been computed.
Twists
Twists of this newform have not been computed.