Properties

Base field \(\Q(\sqrt{-11}) \)
Level 27225.2
Norm 27225
New dimension 27

Related objects

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

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

Level 27225.2

Norm: 27225
Ideal: \((55 a - 165) = \left(-a\right)^{2} \cdot \left(-a - 1\right) \cdot \left(a - 2\right) \cdot \left(-2 a + 1\right)^{2} \)
Label: 27225.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 217
Dimension of new cuspidal subspace: 27

Newforms

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

label weight dimension sign base change CM
27225.2-a 2 1 -1 no no
27225.2-b 2 1 +1 yes (twist) no
27225.2-c 2 1 +1 no no
27225.2-d 2 1 +1 yes (twist) no
27225.2-e 2 1 +1 no no
27225.2-f 2 1 +1 no no
27225.2-g 2 1 +1 yes (twist) no