You can look up the constraint name in the sys.key_constraints table:
SELECT name
FROM sys.key_constraints
WHERE [type] = 'PK'
AND [parent_object_id] = Object_id('dbo.Student');
If you don't care about the name, but simply want to drop it, you can use a combination of this and dynamic sql:
DECLARE @table NVARCHAR(512), @sql NVARCHAR(MAX);
SELECT @table = N'dbo.Student';
SELECT @sql = 'ALTER TABLE ' + @table
+ ' DROP CONSTRAINT ' + name + ';'
FROM sys.key_constraints
WHERE [type] = 'PK'
AND [parent_object_id] = OBJECT_ID(@table);
EXEC sp_executeSQL @sql;
This code is from Aaron Bertrand (source).