Properties

Base field \(\Q(\sqrt{-3}) \)
Level 12544.2
Norm 12544
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 12544.2

Norm: 12544
Ideal: \((112) = \left(2\right)^{4} \cdot \left(-a - 2\right) \cdot \left(a - 3\right) \)
Label: 12544.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 21
Dimension of new cuspidal subspace: 13

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
12544.2-a 2 -1 yes no
12544.2-b 2 -1 no no
12544.2-c 2 -1 no no
12544.2-d 2 +1 yes (twist) no
12544.2-e 2 -1 yes (twist) no
12544.2-f 2 +1 yes (twist) no
12544.2-g 2 -1 yes (twist) no
12544.2-h 2 +1 yes (twist) no
12544.2-i 2 +1 yes (twist) no
12544.2-j 2 -1 yes no
12544.2-k 2 -1 yes no
12544.2-l 2 +1 no no
12544.2-m 2 +1 no no