Properties

Base field Q(23)\Q(\sqrt{-23})
Level 108.6
Norm 108
New dimension 3

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Base field Q(23)\Q(\sqrt{-23})

Generator aa, with minimal polynomial x2x+6x^{2} - x + 6; class number 33.

Level 108.6

Norm: 108
Ideal: (18)=(2,a)(2,a+1)(3,a)2(3,a+2)(18) = \left(2, a\right) \cdot \left(2, a + 1\right) \cdot \left(3, a\right)^{2} \cdot \left(3, a + 2\right)
Label: 108.6

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 23
Dimension of new cuspidal subspace: 3

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
108.6-a 2 +1 yes (twist) no
108.6-b 2 -1 yes (twist) no
108.6-c 2 +1 yes (twist) no