Properties

Base field \(\Q(\sqrt{-11}) \)
Level 9900.5
Norm 9900
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 9900.5

Norm: 9900
Ideal: \((-60 a + 30) = \left(2\right) \cdot \left(-a\right) \cdot \left(a - 1\right) \cdot \left(-a - 1\right) \cdot \left(a - 2\right) \cdot \left(-2 a + 1\right) \)
Label: 9900.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 301
Dimension of new cuspidal subspace: 13

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
9900.5-a 2 +1 yes no
9900.5-b 2 -1 yes no
9900.5-c 2 -1 no no
9900.5-d 2 -1 no no
9900.5-e 2 -1 yes no
9900.5-f 2 -1 yes no
9900.5-g 2 -1 no no
9900.5-h 2 -1 no no
9900.5-i 2 -1 no no
9900.5-j 2 -1 no no
9900.5-k 2 -1 no no
9900.5-l 2 -1 no no
9900.5-m 2 +1 yes no