Campbell C1-C6
Six Campbell rank-13 branches with exact variants and deep search support.
View pluginRank Hunter plugins
Families carry specialized elliptic-curve mathematics. Features add focused tools. Workspaces open whole research environments. Core stays generic; plugins make Rank Hunter specific enough to chase the problem you actually care about.
Showing all 25 published plugins.
Family plugins
Equations, exact maps, sections, torsion structures, theorem metadata, and family-specific search geometry.
Six Campbell rank-13 branches with exact variants and deep search support.
View pluginSix Piezas-sextuple triads with full rational 2-torsion and four generic sections.
View pluginPublished rank-17 K3 record-hunt family with all 17 generic sections.
View pluginFirst quadratic base change of the Elkies rank-17 K3 with an exact 18th section.
View pluginX1092 K3 fibration with 17 exact generic sections, fast Nagao screening, and subgroup-aware search.
View pluginZ/2-torsion K3 family of generic rank 9 with a proven rank-20 specialization.
View pluginOne-parameter K3 reconstruction with 12 exact generic sections.
View pluginOdd/even elliptic families induced by Fibonacci Diophantine triples.
View pluginPublished generic-rank-at-least-14 family with 14 exact sections.
View pluginExplicit K3 surface proved in the literature to have Mordell-Weil rank 15.
View pluginPrescribed-torsion candidate lanes covering all 15 rational torsion groups allowed over Q.
View pluginGeneric-rank-at-least-11 Mestre sextuple family with quartic/PGL2 deep search.
View pluginPublished Z/4 family with exact generic rank 6 and six reconstructed generators.
View pluginSix explicit Z/6 rank-3 variants from the definitive 2016 treatment.
View pluginSeven pairwise non-isomorphic Z/8 families of exact generic rank 2.
View pluginFive pairwise non-isomorphic Z/2 × Z/6 families of exact generic rank 2.
View pluginExact generic-rank-4 prescribed-torsion family induced by Diophantine triples.
View pluginFully explicit C2 × C2 Diophantine-triple family of exact generic rank 6.
View pluginGenus-1-base infinite C2 × C2 family with verified generic lower bound 7.
View pluginNagao j=1728 family with four independent generic sections.
View pluginFeature plugins
Focused additions that hook into an existing Rank Hunter workflow without becoming a separate research page.
Exact search-space symmetry reduction for supported Campbell, Kihara, and Mestre/Fermigier searches.
View pluginWorkspace plugins
Self-contained research pages for deeper exploration that still respect core evidence and persistence boundaries.
Interactive real-locus Graph plus complex affine 3D projection with exact P/Q → R → −R playback for stored curves.
View pluginRead-only family atlas with rank-jump/excess semantics, research views, fastpaths, and explicit search handoffs.
View pluginCompare Rank Hunter curves with synchronized high-rank leaderboard data and torsion filters.
View pluginExact rational isogeny classes, bounded quadratic twists, large-curve exact probes, and deterministic research handoffs.
View pluginTry a family name, torsion group, rank, “workspace,” or clear the filters.
Scientific boundary
A literature theorem, a generic rank statement, a specialized exact rank, and a heuristic search score are different claims. Rank Hunter keeps them different too. Each plugin's own README/provenance documents what it actually establishes.
Build on Rank Hunter
Add equations, exact maps, sections, search adapters, or an entire research workspace without stuffing specialized mathematics into core.