Properties

Base field \(\Q(\sqrt{-1}) \)
Level 50625.3
Norm 50625
New dimension 43

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

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

Level 50625.3

Norm: 50625
Ideal: \((225) = \left(3\right)^{2} \cdot \left(-i - 2\right)^{2} \cdot \left(2 i + 1\right)^{2} \)
Label: 50625.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 117
Dimension of new cuspidal subspace: 43

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
50625.3-a 2 -1 yes no
50625.3-b 2 -1 yes no
50625.3-c 2 -1 yes $-3$
50625.3-d 2 -1 yes (twist) no
50625.3-e 2 -1 yes (twist) no
50625.3-f 2 -1 yes $-3$
50625.3-g 2 -1 yes no