Properties

Base field \(\Q(\sqrt{-3}) \)
Level 114244.3
Norm 114244
New dimension 30

Related objects

Downloads

Learn more

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

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

Level 114244.3

Norm: 114244
Ideal: \((338) = \left(2\right) \cdot \left(a + 3\right)^{2} \cdot \left(a - 4\right)^{2} \)
Label: 114244.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 78
Dimension of new cuspidal subspace: 30

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
114244.3-a 2 +1 yes no
114244.3-b 2 +1 yes no
114244.3-c 2 +1 yes no
114244.3-d 2 -1 yes (twist) no
114244.3-e 2 -1 yes (twist) no
114244.3-f 2 +1 yes no
114244.3-g 2 +1 yes no
114244.3-h 2 -1 yes (twist) no
114244.3-i 2 -1 yes (twist) no
114244.3-j 2 +1 yes no