Properties

Base field \(\Q(\sqrt{-11}) \)
Level 27225.9
Norm 27225
New dimension 7

Related objects

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

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

Level 27225.9

Norm: 27225
Ideal: \((88 a - 121) = \left(a - 1\right)^{2} \cdot \left(a - 2\right)^{2} \cdot \left(-2 a + 1\right)^{2} \)
Label: 27225.9

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 88
Dimension of new cuspidal subspace: 7

Newforms

This space contains the following newforms.

label weight dimension sign base change CM
27225.9-a 2 1 +1 no no
27225.9-b 2 1 +1 no no
27225.9-c 2 1 -1 yes (twist) no
27225.9-d 2 1 +1 no no
27225.9-e 2 1 -1 no no
27225.9-f 2 1 -1 no no
27225.9-g 2 1 -1 yes (twist) no