Properties

Base field \(\Q(\sqrt{-11}) \)
Level 49284.5
Norm 49284
New dimension 13

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

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

Level 49284.5

Norm: 49284
Ideal: \((222) = \left(2\right) \cdot \left(-a\right) \cdot \left(a - 1\right) \cdot \left(-3 a - 2\right) \cdot \left(3 a - 5\right) \)
Label: 49284.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 127
Dimension of new cuspidal subspace: 13

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
49284.5-a 2 -1 no no
49284.5-b 2 -1 no no
49284.5-c 2 +1 yes no
49284.5-d 2 +1 yes no
49284.5-e 2 +1 yes no
49284.5-f 2 -1 no no
49284.5-g 2 -1 no no
49284.5-h 2 +1 yes no
49284.5-i 2 +1 yes no