Properties

Base field \(\Q(\sqrt{-11}) \)
Level 29241.3
Norm 29241
New dimension 28

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

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

Level 29241.3

Norm: 29241
Ideal: \((171) = \left(-a\right)^{2} \cdot \left(a - 1\right)^{2} \cdot \left(19\right) \)
Label: 29241.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 177
Dimension of new cuspidal subspace: 28

Newforms

This space contains the following newforms of dimension 1. Newforms of higher dimension are not yet in the database.

label weight sign base change CM
29241.3-a 2 +1 yes no
29241.3-b 2 -1 yes (twist) no
29241.3-c 2 -1 yes (twist) no
29241.3-d 2 +1 yes no
29241.3-e 2 +1 yes no
29241.3-f 2 -1 yes (twist) no
29241.3-g 2 -1 yes (twist) no
29241.3-h 2 +1 yes no