The memorial double cross of the Millennium was given to the village by the Kisalföld Forestry in 2001 to commemorate the Conquest. Before this, a border stone from 1766 was marked the place. The stone marked the areas of Abda, Ikrény, and Győr where the borders of the three municipalities meet. It is most likely that the stone was set in its original place to settle a dispute over lands.

The Statue of Heroes stands toward the direction of Győr from the statue of the Immaculate Virgin Mary in the church parvis. The memorial was built for the local victims of World War I, it was dedicated on May 17, 1925. It was rededicated on October 23, 1991, by the local government and a pillow stone was added to the front of the memorial listing the names of the soldiers from Abda who died in World War II. The renovation of the memorial was completed by May 25, 2008, for the Heroes' Day celebration. The plaque was moved from the pillow stone to the column and the list of WWII victims was revised for accuracy.

The church was built between 1843 and 1845 in classicist style. It was consecrated on August 20, 1845.