Properties

Base field \(\Q(\sqrt{-11}) \)
Level 30625.3
Norm 30625
New dimension 25

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Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 3\); class number \(1\).

Level 30625.3

Norm: 30625
Ideal: \((175) = \left(-a - 1\right)^{2} \cdot \left(a - 2\right)^{2} \cdot \left(7\right) \)
Label: 30625.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 91
Dimension of new cuspidal subspace: 25

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
30625.3-a 2 +1 no no
30625.3-b 2 +1 no no
30625.3-c 2 +1 yes no
30625.3-d 2 +1 yes no
30625.3-e 2 -1 no no
30625.3-f 2 -1 yes (twist) no
30625.3-g 2 +1 no no
30625.3-h 2 -1 yes (twist) no
30625.3-i 2 -1 no no
30625.3-j 2 +1 no no
30625.3-k 2 +1 no no
30625.3-l 2 +1 yes no
30625.3-m 2 -1 no no
30625.3-n 2 +1 no no
30625.3-o 2 -1 no no