Kaitou Kid and Vincent van Gogh's artworks feature heavily in the movie, according to an interview with Gosho Aoyama. The teaser preview at the end of Dimensional Sniper included references to van Gogh's "Sunflowers" series.

(Source: Wikipedia)

Corruption looms over the prosperous Russell City, where manifestations of negative emotions called Horrors cause chaos and mayhem. The Makai Order is the last bastion of hope against these unholy creatures. Using several small businesses as fronts, they deploy powerful Makai Knights and magical Makai Alchemists to combat the Horror threat. Within this secretive order, the highest rank of Golden Knight has been bestowed upon a large, powerful man named Sword, granting him use of the Garo armor and blade. He alone knows of a plot that threatens the entire Makai Order, with his only hint being the phrase “El Dorado." While fighting a Horror, he encounters Sophia "Sophie" Hennis, a teenage girl whose brother's disappearance years ago is also linked to the same phrase. The two agree to work together to uncover the truth behind "El Dorado" and the disappearance of Sophie's brother. [Written by MAL Rewrite]

A bombing case at Nichiuri TV in autumn. The Satsuki Cup, which crowns the winner of Japan's Hyakunin Isshu, is currently being filmed inside the facility. The incident results in a big commotion and, while the building is burning to ashes, the only people left inside are Heiji and Kazuha. They get rescued just in time by Conan, who rushes to the scene. Both the identity and purposes of the bomber are unknown.

While confusion takes over due to the explosion, Conan meets a mysterious beautiful girl who claims she is "Heiji's fiancée". Her name is Momiji Ooka and she is the Kyoto High School champion of the Karuta game. As fate would have it, Kazuha is going to face Momiji in the Hyakunin Isshu, so she begins to train with the help of Heiji's mother, Shizuka, who is a skilled Karuta player.

At the same time, in a Japanese house in Arashiyama, Kyoto's outskirts, the reigning Satsuki Cup champion is murdered. Pictures of the crime scene reveal Momji's presence. Additionally, several Karuta cards were spread around the victim.

Conan and Heiji, along with the Osaka and Kyoto police departments, begin their investigation on the Satsuki Cup and the related murder case. As the inquiry goes on, they come across a secret connected with the Hyakunin Isshu. 

(Source: Detective Conan Wiki)

In the film's story, there is a sudden explosion at Tokyo Summit's giant Edge of Ocean facility. The shadow of Tooru Amuro, who works for the National Police Agency Security Bureau as Zero, appears at the site. In addition, the "triple-face" character is known as Rei Furuya as a detective and Kogorou Mouri's apprentice, and he is also known as Bourbon as a Black Organization member. Kogorou is arrested as a suspect in the case of the explosion. Conan conducts an investigation to prove Kogorou's innocence, but Amuro gets in his way.

(Source: ANN)