Base field: \(\Q(\sqrt{-95}) \)
Generator \(a\), with minimal polynomial \(x^2 - x + 24\); class number \(8\).
Form
| Weight: | 2 | |
| Level: | 576.11 = \( \left(24\right) \) | |
| Level norm: | 576 | |
| Dimension: | 1 | |
| CM: | no | |
| Base change: | yes | 24.2.a.a |
| Newspace: | 2.0.95.1-576.11 (dimension 4) | |
| Sign of functional equation: | $-1$ | |
| Analytic rank: | odd |
Associated elliptic curves
This Bianchi newform is associated to the isogeny class 2.0.95.1-576.11-a of elliptic curves.Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| \( 2 \) | 2.1 = \( \left(2, a\right) \) | \( -1 \) |
| \( 2 \) | 2.2 = \( \left(2, a + 1\right) \) | \( -1 \) |
| \( 3 \) | 3.1 = \( \left(3, a\right) \) | \( 1 \) |
| \( 3 \) | 3.2 = \( \left(3, a + 2\right) \) | \( 1 \) |
Hecke eigenvalues
The Hecke eigenvalue field is $\Q$. The eigenvalue of the Hecke operator $T_{\mathfrak{p}}$ is $a_{\mathfrak{p}}$. The database contains 100 eigenvalues, of which 20 are currently shown below. We only show the eigenvalues $a_{\mathfrak{p}}$ for primes $\mathfrak{p}$ which do not divide the level.
| $N(\mathfrak{p})$ | $\mathfrak{p}$ | $a_{\mathfrak{p}}$ |
|---|---|---|
| \( 5 \) | 5.1 = \( \left(5, a + 2\right) \) | \( -2 \) |
| \( 11 \) | 11.1 = \( \left(11, a + 4\right) \) | \( 4 \) |
| \( 11 \) | 11.2 = \( \left(11, a + 6\right) \) | \( 4 \) |
| \( 13 \) | 13.1 = \( \left(13, a + 1\right) \) | \( -2 \) |
| \( 13 \) | 13.2 = \( \left(13, a + 11\right) \) | \( -2 \) |
| \( 19 \) | 19.1 = \( \left(19, a + 9\right) \) | \( -4 \) |
| \( 37 \) | 37.1 = \( \left(37, a + 16\right) \) | \( 6 \) |
| \( 37 \) | 37.2 = \( \left(37, a + 20\right) \) | \( 6 \) |
| \( 49 \) | 49.1 = \( \left(7\right) \) | \( -14 \) |
| \( 53 \) | 53.1 = \( \left(53, a + 22\right) \) | \( -2 \) |
| \( 53 \) | 53.2 = \( \left(53, a + 30\right) \) | \( -2 \) |
| \( 61 \) | 61.1 = \( \left(61, a + 18\right) \) | \( -2 \) |
| \( 61 \) | 61.2 = \( \left(61, a + 42\right) \) | \( -2 \) |
| \( 67 \) | 67.1 = \( \left(67, a + 10\right) \) | \( -4 \) |
| \( 67 \) | 67.2 = \( \left(67, a + 56\right) \) | \( -4 \) |
| \( 97 \) | 97.1 = \( \left(97, a + 41\right) \) | \( 2 \) |
| \( 97 \) | 97.2 = \( \left(97, a + 55\right) \) | \( 2 \) |
| \( 101 \) | 101.1 = \( \left(101, a + 19\right) \) | \( -18 \) |
| \( 101 \) | 101.2 = \( \left(101, a + 81\right) \) | \( -18 \) |
| \( 103 \) | 103.1 = \( \left(103, a + 13\right) \) | \( 16 \) |