Properties

Base field \(\Q(\sqrt{-11}) \)
Level 225.5
Norm 225
New dimension 3

Related objects

Downloads

Learn more

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

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

Level 225.5

Norm: 225
Ideal: \((15) = \left(-a\right) \cdot \left(a - 1\right) \cdot \left(-a - 1\right) \cdot \left(a - 2\right) \)
Label: 225.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 3
Dimension of new cuspidal subspace: 3

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
225.5-a 2 -1 yes no
225.5-b 2 +1 no no
225.5-c 2 +1 no no