Properties

Base field \(\Q(\sqrt{-1}) \)
Level 25600.2
Norm 25600
New dimension 24

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

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

Level 25600.2

Norm: 25600
Ideal: \((160) = \left(i + 1\right)^{10} \cdot \left(-i - 2\right) \cdot \left(2 i + 1\right) \)
Label: 25600.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 229
Dimension of new cuspidal subspace: 24

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
25600.2-a 2 +1 yes no
25600.2-b 2 +1 yes no
25600.2-c 2 +1 no no
25600.2-d 2 +1 no no
25600.2-e 2 -1 no no
25600.2-f 2 -1 yes (twist) no
25600.2-g 2 -1 no no
25600.2-h 2 -1 yes (twist) no
25600.2-i 2 +1 yes (twist) no
25600.2-j 2 +1 yes (twist) no
25600.2-k 2 -1 no no
25600.2-l 2 -1 yes (twist) no
25600.2-m 2 -1 no no
25600.2-n 2 +1 yes (twist) no
25600.2-o 2 -1 yes (twist) no
25600.2-p 2 +1 yes (twist) no
25600.2-q 2 -1 yes no
25600.2-r 2 -1 yes no
25600.2-s 2 -1 no no
25600.2-t 2 -1 no no