Properties

Base field \(\Q(\sqrt{-11}) \)
Level 27225.3
Norm 27225
New dimension 16

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

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

Level 27225.3

Norm: 27225
Ideal: \((77 a + 66) = \left(-a\right)^{2} \cdot \left(a - 2\right)^{2} \cdot \left(-2 a + 1\right)^{2} \)
Label: 27225.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 165
Dimension of new cuspidal subspace: 16

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
27225.3-a 2 +1 no no
27225.3-b 2 -1 yes (twist) no
27225.3-c 2 -1 no no
27225.3-d 2 +1 no no
27225.3-e 2 -1 yes (twist) no
27225.3-f 2 -1 no no