<p>A compact TM<InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(_{020}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>020</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>-mode RF cavity was proposed and studied by KEK and RIKEN for the storage ring of the NanoTerasu facility. However, performance limitations due to accelerating mode leakage into the coaxial slots have been identified. This paper presents an improved TM<InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(_{020}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>020</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>-mode cavity design to solve this issue. By employing an elliptical choke, the leakage power can be significantly reduced. Harmful parasitic modes other than the TM<InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(_{020}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>020</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>-mode are effectively suppressed using the elliptical choke placed at the magnetic node of the TM<InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(_{020}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>020</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>-mode. Through optimization, this improved TM<InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(_{020}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>020</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>-mode RF cavity meets the requirements of the Super Tau-Charm Facility (STCF) collider rings with a beam current of up to 2&#xa0;A. Detailed mechanical design and thermal analysis confirm the feasibility and stability of the improved cavity.</p>