  AN Cam is a little-studied eclipsing binary containing somewhat evolved
components in an orbit with a period of 21.0 d and an eccentricity of 0.47. A
spectroscopic orbit based on photoelectric radial velocities was published in
1977. AN Cam has been observed using the TESS satellite in three sectors: the
data were obtained in long-cadence mode and cover nine eclipses. By modelling
these data and published radial velocities we obtain masses of 1.380 +/- 0.021
Msun and 1.402 +/- 0.025 Msun, and radii of 2.159 +/- 0.012 Rsun and 2.646 +/-
0.014 Rsun. We also derive a precise orbital ephemeris from these data and
recent times of minimum light, but find that the older times of minimum light
cannot be fitted assuming a constant orbital period. This could be caused by
astrophysical or instrumental effects; forthcoming TESS observations will help
the investigation of this issue. We use the Gaia EDR3 parallax and
optical/infrared apparent magnitudes to measure effective temperatures of 6050
+/- 150 K and 5750 +/- 150 K: the primary star is hotter but smaller and less
massive than its companion. A comparison with theoretical models indicates that
the system has an approximately solar chemical composition and an age of 3.3
Gyr. Despite the similarity of their masses the two stars are in different
evolutionary states: the primary is near the end of its main-sequence lifetime
and the secondary is now a subgiant. AN Cam is a promising candidate for
constraining the strength of convective core overshooting in 1.4 Msun stars.
