Properties

Base field \(\Q(\sqrt{-1}) \)
Level 76050.5
Norm 76050
New dimension 17

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

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

Level 76050.5

Norm: 76050
Ideal: \((195 i + 195) = \left(i + 1\right) \cdot \left(3\right) \cdot \left(-i - 2\right) \cdot \left(2 i + 1\right) \cdot \left(-3 i - 2\right) \cdot \left(2 i + 3\right) \)
Label: 76050.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 257
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
76050.5-a 2 +1 yes no
76050.5-b 2 +1 yes no
76050.5-c 2 +1 no no
76050.5-d 2 +1 no no
76050.5-e 2 -1 no no
76050.5-f 2 -1 no no
76050.5-g 2 +1 yes no
76050.5-h 2 -1 no no
76050.5-i 2 -1 no no
76050.5-j 2 -1 no no
76050.5-k 2 -1 no no
76050.5-l 2 +1 yes no
76050.5-m 2 -1 yes no
76050.5-n 2 -1 yes no
76050.5-o 2 -1 yes no