Properties

Base field \(\Q(\sqrt{-163}) \)
Level 1296.1
Norm 1296
New dimension 51

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Base field \(\Q(\sqrt{-163}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 41\); class number \(1\).

Level 1296.1

Norm: 1296
Ideal: \((36) = \left(2\right)^{2} \cdot \left(3\right)^{2} \)
Label: 1296.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 315
Dimension of new cuspidal subspace: 51

Newforms

This space contains the following newform of dimension 1. Newforms of higher dimension are not yet in the database.

label weight sign base change CM
1296.1-a 2 -1 yes $-3$