Properties

Base field \(\Q(\sqrt{-11}) \)
Level 27225.5
Norm 27225
New dimension 46

Related objects

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

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

Level 27225.5

Norm: 27225
Ideal: \((165) = \left(-a\right) \cdot \left(a - 1\right) \cdot \left(-a - 1\right) \cdot \left(a - 2\right) \cdot \left(-2 a + 1\right)^{2} \)
Label: 27225.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 385
Dimension of new cuspidal subspace: 46

Newforms

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

label weight dimension sign base change CM
27225.5-a 2 1 +1 yes no
27225.5-b 2 1 +1 yes no
27225.5-c 2 1 -1 no no
27225.5-d 2 1 -1 no no
27225.5-e 2 1 +1 no no
27225.5-f 2 1 +1 no no
27225.5-g 2 1 -1 no no
27225.5-h 2 1 -1 no no
27225.5-i 2 1 -1 no no
27225.5-j 2 1 -1 no no
27225.5-k 2 1 +1 yes no
27225.5-l 2 1 +1 yes no
27225.5-m 2 1 +1 no no
27225.5-n 2 1 +1 no no