Properties

Base field \(\Q(\sqrt{-3}) \)
Level 112896.2
Norm 112896
New dimension 35

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

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

Level 112896.2

Norm: 112896
Ideal: \((336) = \left(2\right)^{4} \cdot \left(a + 1\right)^{2} \cdot \left(-a - 2\right) \cdot \left(a - 3\right) \)
Label: 112896.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 433
Dimension of new cuspidal subspace: 35

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
112896.2-a 2 +1 yes no
112896.2-b 2 +1 no no
112896.2-ba 2 +1 yes (twist) no
112896.2-bb 2 +1 yes (twist) no
112896.2-bc 2 -1 no no
112896.2-bd 2 -1 no no
112896.2-be 2 -1 no no
112896.2-bf 2 -1 no no
112896.2-bg 2 +1 no no
112896.2-bh 2 +1 no no
112896.2-bi 2 +1 yes no
112896.2-c 2 -1 no no
112896.2-d 2 +1 no no
112896.2-e 2 +1 no no
112896.2-f 2 +1 yes no
112896.2-g 2 +1 no no
112896.2-h 2 +1 no no
112896.2-i 2 +1 no no
112896.2-j 2 -1 no no
112896.2-k 2 +1 yes (twist) no
112896.2-l 2 -1 yes (twist) no
112896.2-m 2 +1 yes (twist) no
112896.2-n 2 -1 yes (twist) no
112896.2-o 2 -1 yes (twist) no
112896.2-p 2 -1 yes (twist) no
112896.2-q 2 +1 yes (twist) no
112896.2-r 2 +1 yes (twist) no
112896.2-s 2 +1 yes (twist) no
112896.2-t 2 -1 yes (twist) no
112896.2-u 2 +1 yes (twist) no
112896.2-v 2 -1 yes (twist) no
112896.2-w 2 +1 yes (twist) no
112896.2-x 2 -1 yes (twist) no
112896.2-y 2 +1 yes (twist) no
112896.2-z 2 -1 yes (twist) no