Properties

Base field \(\Q(\sqrt{-3}) \)
Level 57600.1
Norm 57600
New dimension 18

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

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

Level 57600.1

Norm: 57600
Ideal: \((240) = \left(2\right)^{4} \cdot \left(a + 1\right)^{2} \cdot \left(5\right) \)
Label: 57600.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 135
Dimension of new cuspidal subspace: 18

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
57600.1-a 2 -1 yes (twist) no
57600.1-b 2 +1 yes (twist) no
57600.1-c 2 +1 yes (twist) no
57600.1-d 2 -1 yes no
57600.1-e 2 -1 yes no
57600.1-f 2 -1 no no
57600.1-g 2 -1 yes (twist) no
57600.1-h 2 +1 yes (twist) no
57600.1-i 2 +1 yes (twist) no
57600.1-j 2 -1 yes (twist) no
57600.1-k 2 -1 yes (twist) no
57600.1-l 2 -1 yes (twist) no
57600.1-m 2 -1 no no
57600.1-n 2 +1 no no
57600.1-o 2 +1 no no
57600.1-p 2 -1 yes (twist) no
57600.1-q 2 +1 yes (twist) no
57600.1-r 2 +1 yes (twist) no