Properties

Base field \(\Q(\sqrt{-3}) \)
Level 49152.1
Norm 49152
New dimension 24

Related objects

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Base field \(\Q(\sqrt{-3}) \)

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

Level 49152.1

Norm: 49152
Ideal: \((128 a + 128) = \left(2\right)^{7} \cdot \left(a + 1\right) \)
Label: 49152.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 125
Dimension of new cuspidal subspace: 24

Newforms

This space contains the following newforms.

label weight dimension sign base change CM
49152.1-a 2 1 -1 no no
49152.1-b 2 1 +1 yes no
49152.1-c 2 1 +1 yes no
49152.1-d 2 1 -1 no no
49152.1-e 2 1 -1 no no
49152.1-f 2 1 -1 no no
49152.1-g 2 1 +1 no no
49152.1-h 2 1 -1 no no
49152.1-i 2 1 +1 no no
49152.1-j 2 1 +1 yes no
49152.1-k 2 1 +1 yes no
49152.1-l 2 1 -1 no no
49152.1-m 2 1 -1 no no
49152.1-n 2 1 -1 yes no
49152.1-o 2 1 -1 yes no
49152.1-p 2 1 -1 no no
49152.1-q 2 1 +1 no no
49152.1-r 2 1 -1 no no
49152.1-s 2 1 -1 no no
49152.1-t 2 1 -1 no no
49152.1-u 2 1 -1 no no
49152.1-v 2 1 -1 yes no
49152.1-w 2 1 -1 yes no
49152.1-x 2 1 +1 no no