Properties

Base field \(\Q(\sqrt{-11}) \)
Level 10125.11
Norm 10125
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 10125.11

Norm: 10125
Ideal: \((45 a - 90) = \left(-a\right)^{2} \cdot \left(a - 1\right)^{2} \cdot \left(-a - 1\right) \cdot \left(a - 2\right)^{2} \)
Label: 10125.11

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 219
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
10125.11-a 2 -1 no no
10125.11-b 2 -1 no no
10125.11-c 2 +1 no no
10125.11-d 2 +1 no no
10125.11-e 2 +1 no no
10125.11-f 2 -1 no no
10125.11-g 2 +1 no no
10125.11-h 2 +1 yes (twist) no