Properties

Base field \(\Q(\sqrt{-3}) \)
Level 81225.3
Norm 81225
New dimension 5

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Base field \(\Q(\sqrt{-3}) \)

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

Level 81225.3

Norm: 81225
Ideal: \((-75 a + 315) = \left(a + 1\right)^{2} \cdot \left(5\right) \cdot \left(2 a + 3\right)^{2} \)
Label: 81225.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 43
Dimension of new cuspidal subspace: 5

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
81225.3-a 2 -1 yes (twist) no
81225.3-b 2 -1 no no
81225.3-c 2 -1 no no
81225.3-d 2 -1 no no
81225.3-e 2 -1 no no