Base field: \(\Q(\sqrt{-210}) \)
Generator \(a\), with minimal polynomial \(x^2 + 210\); class number \(8\).
Form
| Weight: | 2 | |
| Level: | 24.1 = \( \left(12, 2 a\right) \) | |
| Level norm: | 24 | |
| Dimension: | 1 | |
| CM: | no | |
| Base change: | yes | 72.2.a.a |
| Newspace: | 2.0.840.1-24.1 (dimension 8) | |
| Sign of functional equation: | $-1$ | |
| Analytic rank: | \(0\) |
Associated elliptic curves
This Bianchi newform is associated to the isogeny class 2.0.840.1-24.1-d of elliptic curves.Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| \( 2 \) | 2.1 = \( \left(2, a\right) \) | \( 1 \) |
| \( 3 \) | 3.1 = \( \left(3, a\right) \) | \( 1 \) |
Hecke eigenvalues
The Hecke eigenvalue field is $\Q$. The eigenvalue of the Hecke operator $T_{\mathfrak{p}}$ is $a_{\mathfrak{p}}$. The database contains 26 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 = \( \left(5, a\right) \) | \( 2 \) |
| \( 7 \) | 7.1 = \( \left(7, a\right) \) | \( 0 \) |
| \( 29 \) | 29.1 = \( \left(29, a + 14\right) \) | \( -6 \) |
| \( 29 \) | 29.2 = \( \left(29, a + 15\right) \) | \( -6 \) |
| \( 31 \) | 31.1 = \( \left(31, a + 10\right) \) | \( 8 \) |
| \( 31 \) | 31.2 = \( \left(31, a + 21\right) \) | \( 8 \) |
| \( 37 \) | 37.1 = \( \left(37, a + 7\right) \) | \( 6 \) |
| \( 37 \) | 37.2 = \( \left(37, a + 30\right) \) | \( 6 \) |
| \( 41 \) | 41.1 = \( \left(41, a + 6\right) \) | \( 6 \) |
| \( 41 \) | 41.2 = \( \left(41, a + 35\right) \) | \( 6 \) |
| \( 47 \) | 47.1 = \( \left(47, a + 5\right) \) | \( 0 \) |
| \( 47 \) | 47.2 = \( \left(47, a + 42\right) \) | \( 0 \) |
| \( 59 \) | 59.1 = \( \left(59, a + 12\right) \) | \( -4 \) |
| \( 59 \) | 59.2 = \( \left(59, a + 47\right) \) | \( -4 \) |
| \( 61 \) | 61.1 = \( \left(61, a + 20\right) \) | \( -2 \) |
| \( 61 \) | 61.2 = \( \left(61, a + 41\right) \) | \( -2 \) |
| \( 71 \) | 71.1 = \( \left(71, a + 28\right) \) | \( -8 \) |
| \( 71 \) | 71.2 = \( \left(71, a + 43\right) \) | \( -8 \) |
| \( 73 \) | 73.1 = \( \left(73, a + 3\right) \) | \( 10 \) |
| \( 73 \) | 73.2 = \( \left(73, a + 70\right) \) | \( 10 \) |