Properties

Base field \(\Q(\sqrt{-1}) \)
Level 57122.3
Norm 57122
New dimension 26

Related objects

Downloads

Learn more

Base field \(\Q(\sqrt{-1}) \)

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

Level 57122.3

Norm: 57122
Ideal: \((169 i + 169) = \left(i + 1\right) \cdot \left(-3 i - 2\right)^{2} \cdot \left(2 i + 3\right)^{2} \)
Label: 57122.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 66
Dimension of new cuspidal subspace: 26

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
57122.3-a 2 -1 yes no
57122.3-b 2 -1 yes no
57122.3-c 2 -1 yes no
57122.3-d 2 +1 yes no
57122.3-e 2 -1 no no
57122.3-f 2 -1 no no
57122.3-g 2 +1 yes no
57122.3-h 2 +1 yes no