Properties

Base field \(\Q(\sqrt{-1}) \)
Level 68450.5
Norm 68450
New dimension 17

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

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

Level 68450.5

Norm: 68450
Ideal: \((185 i + 185) = \left(i + 1\right) \cdot \left(-i - 2\right) \cdot \left(2 i + 1\right) \cdot \left(i + 6\right) \cdot \left(i - 6\right) \)
Label: 68450.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 107
Dimension of new cuspidal subspace: 17

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
68450.5-a 2 -1 yes no
68450.5-b 2 -1 yes no
68450.5-c 2 +1 no no
68450.5-d 2 +1 no no
68450.5-e 2 -1 yes no
68450.5-f 2 -1 no no
68450.5-g 2 -1 no no
68450.5-h 2 +1 yes no
68450.5-i 2 +1 no no
68450.5-j 2 +1 no no