It is a cross over between the series Lupin III and Detective Conan and takes place after the television special Lupin the 3rd vs Detective Conan. The plot follows Conan Edogawa who sets out to apprehend Arsène Lupin III, the suspect of stealing a jewel called Cherry Sapphire.

(Souce: Wikipedia)

Yamato Akitsuki travels to Tokyo alone to study in one of the high schools located within the area. He lives in with his aunt who operates a public bath solely for the ladies in the local district and begins his normal high-school life. One day, he chances upon a girl in school and is immediately mesmerized by her beauty. He is shocked when he realizes later that the girl, Suzuka, is actually living next door to him. From then on, Yamato's ordinary life begins to change little by little.

In an alternate 2023, the Your Forma, a miraculous "smart thread" technology initially developed to treat a massive outbreak of viral encephalitis, has become an integral part of daily life. But these convenient devices come with an invasive drawback—they record every sight, sound, and even emotion their users experience. For electronic investigator Echika Hieda, diving into peoples' memories via the Your Forma and hunting for evidence to solve the toughest crimes is all part of a day's work. The problem is, she's so good at what she does that her assistants literally fry their brains trying to keep up with her. After putting one too many aides in the hospital, the top brass finally furnish Echika with a partner on her level, a brilliant yet cheeky android named Harold Lucraft. Does this unlikely duo have what it takes to resolve their mutual suspicions and avert a deadly technological infection from sweeping across the globe before it's too late?

The now 50 year old Scientific Boys Club decides to built a ship that sails to Mars on the "Ethereal Current" - a thesis of the wife of a club member which claims that the universe is flooded with Ethereal energy. On this stream they travel to Mars in order to prove an old theory about channels on Mars built by Martians, but there is no life. Many years later, when both theories are considered to be nonsense, a Mars expedition discovers a stone with the inscription "Scientific Boys Club 1954".