Properties

Base field \(\Q(\sqrt{-2}) \)
Level 5202.5
Norm 5202
New dimension 9

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

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

Level 5202.5

Norm: 5202
Ideal: \((51 a) = \left(a\right) \cdot \left(-a - 1\right) \cdot \left(a - 1\right) \cdot \left(-2 a + 3\right) \cdot \left(2 a + 3\right) \)
Label: 5202.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 55
Dimension of new cuspidal subspace: 9

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
5202.5-a 2 +1 no no
5202.5-b 2 +1 no no
5202.5-c 2 -1 yes no
5202.5-d 2 -1 yes no
5202.5-e 2 +1 no no
5202.5-f 2 +1 no no
5202.5-g 2 +1 no no
5202.5-h 2 +1 no no
5202.5-i 2 +1 yes no