Properties

Base field \(\Q(\sqrt{-7}) \)
Level 14400.1
Norm 14400
New dimension 9

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Base field \(\Q(\sqrt{-7}) \)

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

Level 14400.1

Norm: 14400
Ideal: \((75 a + 30) = \left(a\right)^{6} \cdot \left(3\right) \cdot \left(5\right) \)
Label: 14400.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 81
Dimension of new cuspidal subspace: 9

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
14400.1-a 2 -1 no no
14400.1-b 2 +1 no no
14400.1-c 2 +1 no no
14400.1-d 2 -1 yes (twist) no
14400.1-e 2 +1 no no