Properties

Base field \(\Q(\sqrt{-1}) \)
Level 82944.1
Norm 82944
New dimension 52

Related objects

Learn more

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

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

Level 82944.1

Norm: 82944
Ideal: \((288) = \left(i + 1\right)^{10} \cdot \left(3\right)^{2} \)
Label: 82944.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 321
Dimension of new cuspidal subspace: 52

Newforms

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

label weight dimension sign base change CM
82944.1-a 2 1 -1 yes no
82944.1-b 2 1 -1 no no
82944.1-c 2 1 -1 yes no
82944.1-d 2 1 +1 yes no
82944.1-e 2 1 +1 yes no
82944.1-f 2 1 +1 yes (twist) no
82944.1-g 2 1 -1 yes (twist) no
82944.1-h 2 1 -1 no no
82944.1-i 2 1 +1 yes no
82944.1-j 2 1 -1 yes (twist) -3
82944.1-k 2 1 -1 yes (twist) -3
82944.1-l 2 1 -1 yes no
82944.1-m 2 1 +1 no no
82944.1-n 2 1 -1 yes (twist) no
82944.1-o 2 1 +1 yes (twist) no
82944.1-p 2 1 -1 yes no
82944.1-q 2 1 -1 yes no
82944.1-r 2 1 +1 yes no
82944.1-s 2 1 +1 no no
82944.1-t 2 1 +1 yes no