Properties

Base field \(\Q(\sqrt{-3}) \)
Level 37632.2
Norm 37632
New dimension 18

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Base field \(\Q(\sqrt{-3}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 1\); class number \(1\).

Level 37632.2

Norm: 37632
Ideal: \((112 a + 112) = \left(2\right)^{4} \cdot \left(a + 1\right) \cdot \left(-a - 2\right) \cdot \left(a - 3\right) \)
Label: 37632.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 147
Dimension of new cuspidal subspace: 18

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
37632.2-a 2 -1 yes no
37632.2-b 2 -1 no no
37632.2-c 2 +1 no no
37632.2-d 2 +1 no no
37632.2-e 2 -1 no no
37632.2-f 2 -1 yes no
37632.2-g 2 -1 yes no
37632.2-h 2 +1 yes no
37632.2-i 2 -1 no no
37632.2-j 2 -1 no no
37632.2-k 2 +1 no no
37632.2-l 2 -1 no no
37632.2-m 2 -1 no no
37632.2-n 2 -1 no no
37632.2-o 2 +1 no no
37632.2-p 2 -1 no no
37632.2-q 2 +1 yes no
37632.2-r 2 +1 yes no