It was discovered by a team of astronomers from the University of Hawaii led by Scott S. Sheppard in 2003.

[11] It was named in 2019 after Eupheme, the ancient Greek spirit of words of good omen, praise, acclaims, shouts of triumph, and applause, the daughter of Hephaestus and Aglaea and granddaughter of Zeus.

[12] The name was suggested by Twitter user Lunartic (@iamalunartic) in a naming contest held by the Carnegie Institute on the social network who concurrently helped in naming another Jovian moon Philophrosyne.

[13][14] Eupheme orbits Jupiter at an average distance of 19,622 Mm in 628.06 days, at an inclination of 146° to the ecliptic (146° to Jupiter's equator), in a retrograde direction and with an eccentricity of 0.2507.

It belongs to the Ananke group, retrograde irregular moons that orbit Jupiter between 19.3 and 22.7 Gm, at inclinations of roughly 150°.