Newspace parameters
| Level: | \( N \) | \(=\) | \( 28665 = 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 28665.a (trivial) |
Newform invariants
| Self dual: | yes |
| Analytic conductor: | \(228.891177394\) |
| Dimension: | \(7\) |
| Coefficient field: | \(\mathbb{Q}[x]/(x^{7} - \cdots)\) |
|
|
|
| Defining polynomial: |
\( x^{7} - 3x^{6} - 6x^{5} + 20x^{4} + 6x^{3} - 32x^{2} + 9x + 1 \)
|
| 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 |
|---|---|
| \(3\) | \( +1 \) |
| \(5\) | \( -1 \) |
| \(7\) | \( -1 \) |
| \(13\) | \( -1 \) |
Inner twists
Inner twists of this newform have not been computed.
Twists
Twists of this newform have not been computed.