Properties

Base field \(\Q(\sqrt{-11}) \)
Level 19404.2
Norm 19404
New dimension 17

Related objects

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Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 3\); class number \(1\).

Level 19404.2

Norm: 19404
Ideal: \((-84 a + 42) = \left(2\right) \cdot \left(-a\right) \cdot \left(a - 1\right) \cdot \left(7\right) \cdot \left(-2 a + 1\right) \)
Label: 19404.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 171
Dimension of new cuspidal subspace: 17

Newforms

This space contains the following newforms. Newforms of higher dimension are not yet in the database.

label weight dimension sign base change CM
19404.2-a 2 1 -1 no no
19404.2-b 2 1 -1 no no
19404.2-c 2 1 -1 no no
19404.2-d 2 1 -1 no no
19404.2-e 2 1 -1 yes no
19404.2-f 2 1 +1 yes no
19404.2-g 2 1 -1 yes no
19404.2-h 2 1 +1 yes no
19404.2-i 2 1 -1 no no
19404.2-j 2 1 -1 no no
19404.2-k 2 1 -1 yes no
19404.2-l 2 1 -1 yes no
19404.2-m 2 1 +1 yes no