Properties

Base field \(\Q(\sqrt{-11}) \)
Level 27225.7
Norm 27225
New dimension 16

Related objects

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

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

Level 27225.7

Norm: 27225
Ideal: \((-77 a + 143) = \left(a - 1\right)^{2} \cdot \left(-a - 1\right)^{2} \cdot \left(-2 a + 1\right)^{2} \)
Label: 27225.7

Modular form spaces

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

Newforms

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

label weight dimension sign base change CM
27225.7-a 2 1 +1 no no
27225.7-b 2 1 -1 yes (twist) no
27225.7-c 2 1 -1 no no
27225.7-d 2 1 +1 no no
27225.7-e 2 1 -1 yes (twist) no
27225.7-f 2 1 -1 no no