Properties

Base field \(\Q(\sqrt{-11}) \)
Level 14400.4
Norm 14400
New dimension 22

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Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \(x^2 - x + 3\); class number \(1\).

Level 14400.4

Norm: 14400
Ideal: \((72 a - 48) = \left(2\right)^{3} \cdot \left(-a\right) \cdot \left(a - 1\right) \cdot \left(-a - 1\right)^{2} \)
Label: 14400.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 156
Dimension of new cuspidal subspace: 22

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
14400.4-a 2 +1 no no
14400.4-b 2 -1 no no
14400.4-c 2 -1 no no
14400.4-d 2 -1 no no
14400.4-e 2 +1 no no
14400.4-f 2 +1 yes (twist) no
14400.4-g 2 +1 no no
14400.4-h 2 +1 no no
14400.4-i 2 +1 no no
14400.4-j 2 -1 no no
14400.4-k 2 +1 no no
14400.4-l 2 -1 no no
14400.4-m 2 +1 no no
14400.4-n 2 +1 no no
14400.4-o 2 -1 no no
14400.4-p 2 -1 no no
14400.4-q 2 -1 no no
14400.4-r 2 +1 no no