Properties

Base field \(\Q(\sqrt{-13}) \)
Level 49.3
Norm 49
New dimension 2

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Base field \(\Q(\sqrt{-13}) \)

Generator \(a\), with minimal polynomial \(x^{2} + 13\); class number \(2\).

Level 49.3

Norm: 49
Ideal: \((-a - 6) = \left(7, a + 6\right)^{2} \)
Label: 49.3

Modular form spaces

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

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
49.3-a 2 +1 yes (twist) no
49.3-b 2 +1 yes (twist) no