Short answers, pulled from the story.
Systematic persecution began after the Röhm purge on the 30th of June 1934 when Heinrich Himmler and Reinhard Heydrich made homophobia a priority for the regime. Paragraph 175 was amended almost exactly one year later to punish all homosexual acts defined broadly.
Nearly 95,000 men were arrested for homosexuality between 1937 and 1939 representing more than 600 arrests per week across Germany. Police methods included calling entire classes of teenage boys which accounted for 23.9 percent of total charges by 1939.
The death rate reached 60 percent for about 5,000 to 6,000 homosexual men imprisoned in concentration camps compared to 42 percent for political prisoners and 35 percent for Jehovah's Witnesses. Sociologist Rüdiger Lautmann examined 2,542 known cases determining that at least 3,100 to 3,600 men died within these facilities.
West German president Richard von Weizsäcker officially recognized Nazi persecution for the first time in 1985 while 2002 annulled Nazi-era judgments under Paragraph 175. The government offered compensation extending to men convicted after 1945 in 2017.
West Germany convicted about 50,000 men under Paragraph 175 between 1945 and 1969 matching the number convicted during twelve years of Nazi rule. The 1935 version of Paragraph 175 remained in force unaltered in West Germany upheld by the Federal Constitutional Court in 1957.