Properties

Base field \(\Q(\sqrt{-2}) \)
Level 3249.5
Norm 3249
New dimension 3

Related objects

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Base field \(\Q(\sqrt{-2}) \)

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

Level 3249.5

Norm: 3249
Ideal: \((57) = \left(-a - 1\right) \cdot \left(a - 1\right) \cdot \left(-3 a + 1\right) \cdot \left(3 a + 1\right) \)
Label: 3249.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 7
Dimension of new cuspidal subspace: 3

Newforms

This space contains the following newforms.

label weight dimension sign base change CM
3249.5-a 2 1 -1 yes no
3249.5-b 2 1 -1 yes no
3249.5-c 2 1 -1 yes no