Properties

Base field \(\Q(\sqrt{-3}) \)
Level 136900.2
Norm 136900
New dimension 13

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

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

Level 136900.2

Norm: 136900
Ideal: \((370) = \left(2\right) \cdot \left(5\right) \cdot \left(-3 a + 7\right) \cdot \left(3 a + 4\right) \)
Label: 136900.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 75
Dimension of new cuspidal subspace: 13

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
136900.2-a 2 -1 no no
136900.2-b 2 -1 no no
136900.2-c 2 -1 yes no
136900.2-d 2 -1 yes no
136900.2-e 2 -1 yes no
136900.2-f 2 -1 yes no