Properties

Base field \(\Q(\sqrt{-11}) \)
Level 14400.2
Norm 14400
New dimension 12

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

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

Level 14400.2

Norm: 14400
Ideal: \((40 a - 120) = \left(2\right)^{3} \cdot \left(-a\right)^{2} \cdot \left(-a - 1\right) \cdot \left(a - 2\right) \)
Label: 14400.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 124
Dimension of new cuspidal subspace: 12

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
14400.2-a 2 -1 no no
14400.2-b 2 +1 no no
14400.2-c 2 +1 yes (twist) no
14400.2-d 2 +1 no no
14400.2-e 2 +1 no no
14400.2-f 2 -1 no no
14400.2-g 2 -1 no no
14400.2-h 2 +1 yes (twist) no
14400.2-i 2 -1 no no