Properties

Base field \(\Q(\sqrt{-3}) \)
Level 37632.3
Norm 37632
New dimension 15

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

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

Level 37632.3

Norm: 37632
Ideal: \((-32 a + 208) = \left(2\right)^{4} \cdot \left(a + 1\right) \cdot \left(a - 3\right)^{2} \)
Label: 37632.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 69
Dimension of new cuspidal subspace: 15

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
37632.3-a 2 +1 no no
37632.3-b 2 +1 no no
37632.3-c 2 -1 no no
37632.3-d 2 +1 no no
37632.3-e 2 +1 yes (twist) no
37632.3-f 2 +1 no no
37632.3-g 2 -1 no no
37632.3-h 2 +1 no no
37632.3-i 2 -1 no no
37632.3-j 2 -1 no no
37632.3-k 2 -1 yes (twist) no
37632.3-l 2 +1 no no
37632.3-m 2 +1 no no
37632.3-n 2 +1 no no
37632.3-o 2 +1 no no