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We compare the coronal magnetic energy and helicity of two solar activeregions (ARs), prolific in major eruptive (AR~11158) and confined (AR~12192)flaring, and analyze the potential of deduced proxies to forecast upcomingflares. Based on nonlinear force-free (NLFF) coronal magnetic field models witha high degree of solenoidality, and applying three different computationalmethods to investigate the coronal magnetic helicity, we are able to drawconclusions with a high level of confidence. Based on real observations of twosolar ARs we checked trends regarding the potential eruptivity of theactive-region corona, as suggested earlier in works that were based onnumerical simulations, or solar observations. Our results support that theratio of current-carrying to total helicity, $|H_\mathrm{J}|/|H_\mathrm{V}|$,shows a strong ability to indicate the eruptive potential of a solar AR.However, $|H_\mathrm{J}|/|H_\mathrm{V}|$ seems not to be indicative for themagnitude or type of an upcoming flare (confined or eruptive). Interpreted incontext with earlier observational studies, our findings furthermore supportthat the total relative helicity normalized to the magnetic flux at the NLFFmodel's lower boundary, $H_\mathrm{V}/\phi^2$, represents no indicator for theeruptivity.

Magnetic helicity budget of solar active regions prolific of eruptive and confined flares