Properties

Base field \(\Q(\sqrt{-11}) \)
Level 5184.3
Norm 5184
New dimension 11

Related objects

Downloads

Learn more

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

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

Level 5184.3

Norm: 5184
Ideal: \((72) = \left(2\right)^{3} \cdot \left(-a\right)^{2} \cdot \left(a - 1\right)^{2} \)
Label: 5184.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 89
Dimension of new cuspidal subspace: 11

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
5184.3-a 2 -1 no no
5184.3-b 2 +1 no no
5184.3-c 2 -1 no no
5184.3-d 2 +1 yes (twist) no
5184.3-e 2 +1 no no
5184.3-f 2 -1 no no
5184.3-g 2 +1 no no
5184.3-h 2 +1 yes (twist) no
5184.3-i 2 -1 no no
5184.3-j 2 +1 no no
5184.3-k 2 +1 yes no