Properties

Base field \(\Q(\sqrt{-163}) \)
Level 729.1
Norm 729
New dimension 109

Related objects

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

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

Level 729.1

Norm: 729
Ideal: \((27) = \left(3\right)^{3} \)
Label: 729.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 213
Dimension of new cuspidal subspace: 109

Newforms

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

label weight dimension sign base change CM
729.1-a 2 1 +1 yes -3