Properties

Base field \(\Q(\sqrt{-7}) \)
Level 17500.2
Norm 17500
New dimension 12

Related objects

Learn more about

Base field \(\Q(\sqrt{-7}) \)

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

Level 17500.2

Norm: 17500
Ideal: \((-100 a + 50) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(5\right)^{2} \cdot \left(-2 a + 1\right) \)
Label: 17500.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 97
Dimension of new cuspidal subspace: 12

Newforms

This space contains the following newforms. Newforms of higher dimension are not yet in the database.

label weight dimension sign base change CM
17500.2-a 2 1 -1 yes no
17500.2-b 2 1 +1 yes no
17500.2-c 2 1 +1 yes no
17500.2-d 2 1 +1 no no
17500.2-e 2 1 +1 no no
17500.2-f 2 1 -1 yes no
17500.2-g 2 1 -1 yes no
17500.2-h 2 1 +1 yes no