Properties

Base field \(\Q(\sqrt{-3}) \)
Level 20736.1
Norm 20736
New dimension 9

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

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

Level 20736.1

Norm: 20736
Ideal: \((144) = \left(2\right)^{4} \cdot \left(a + 1\right)^{4} \)
Label: 20736.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 35
Dimension of new cuspidal subspace: 9

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
20736.1-a 2 -1 yes no
20736.1-b 2 -1 yes (twist) no
20736.1-c 2 -1 yes (twist) no
20736.1-d 2 +1 yes (twist) no
20736.1-e 2 +1 yes (twist) no
20736.1-f 2 -1 yes no
20736.1-g 2 -1 yes (twist) no
20736.1-h 2 -1 yes (twist) no
20736.1-i 2 +1 yes no