Hilbert Modular Forms

The database currently contains 368356 Hilbert modular forms over fields up to degree 6.

Browse Hilbert cusp forms

By base field:

• 148 real quadratic fields including \(\Q(\sqrt{5})\), \(\Q(\sqrt{2})\), \(\Q(\sqrt{3})\), \(\Q(\sqrt{401})\)
• 61 cubic fields including 3.3.49.1, 3.3.1101.1
• 123 quartic fields including 4.4.725.1, 4.4.1125.1, 4.4.18688.1
• 34 quintic fields 5.5.14641.1, 5.5.160801.1
• 34 sextic fields including 6.6.300125.1, 6.6.1397493.1
• All 400 available fields

Browse Hilbert cusp forms in the database by degree of the base field: 2, 3, 4, 5, 6

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Base Field

Field		either a field label, e.g. 2.2.5.1 for \(\mathbb{Q}(\sqrt{5})\), or a nickname, e.g. Qsqrt5
Degree		e.g. 2, 2..3
Discriminant		e.g. 1..100

Hilbert cusp forms

Weight		e.g. 2 or [2,2]	CM
Level norm		e.g. 1	Base Change
Dimension		e.g. 1
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