Properties

Base field \(\Q(\sqrt{-1}) \)
Level 45000.3
Norm 45000
New dimension 15

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Base field \(\Q(\sqrt{-1}) \)

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

Level 45000.3

Norm: 45000
Ideal: \((150 i + 150) = \left(i + 1\right)^{3} \cdot \left(3\right) \cdot \left(-i - 2\right)^{2} \cdot \left(2 i + 1\right)^{2} \)
Label: 45000.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 243
Dimension of new cuspidal subspace: 15

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
45000.3-a 2 -1 no no
45000.3-b 2 -1 no no
45000.3-c 2 -1 no no
45000.3-d 2 -1 no no
45000.3-e 2 -1 yes no
45000.3-f 2 -1 yes no
45000.3-g 2 +1 yes no
45000.3-h 2 +1 no no
45000.3-i 2 -1 yes no
45000.3-j 2 +1 no no
45000.3-k 2 -1 yes no
45000.3-l 2 +1 yes no
45000.3-m 2 -1 yes no
45000.3-n 2 +1 yes no
45000.3-o 2 +1 yes no