Properties

Base field \(\Q(\sqrt{-7}) \)
Level 15876.2
Norm 15876
New dimension 22

Related objects

Downloads

Learn more

Base field \(\Q(\sqrt{-7}) \)

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

Level 15876.2

Norm: 15876
Ideal: \((126) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(3\right)^{2} \cdot \left(-2 a + 1\right)^{2} \)
Label: 15876.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 203
Dimension of new cuspidal subspace: 22

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
15876.2-a 2 -1 yes no
15876.2-b 2 +1 yes no
15876.2-c 2 +1 yes no
15876.2-d 2 -1 yes no
15876.2-e 2 +1 yes (twist) no
15876.2-f 2 +1 yes (twist) no
15876.2-g 2 -1 yes no
15876.2-h 2 -1 yes no
15876.2-i 2 +1 yes no
15876.2-j 2 +1 yes no