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Official Families

The official Family plugins live in rh-plugins. Rank Hunter installs that collection during setup.

Family Version What it is for
Campbell C1-C6 3.0.3 Six Campbell rank-13 branches with exact variants and deep search support.
DMT Triad Family 0.1.3 Six Piezas-sextuple triads with full rational 2-torsion and four generic sections.
Elkies Rank-17 K3 1.3.1 Published rank-17 K3 record-hunt family with 17 generic sections.
Elkies Rank-18 First Cover 0.1.1 First quadratic base change of the Elkies rank-17 K3 with an exact 18th section.
Elkies X1092 1.3.0 X1092 K3 fibration with 17 exact generic sections and deep search support.
Elkies-Klagsbrun Z/2 K3 1.2.4 Z/2-torsion K3 family of generic rank 9 with a proven rank-20 specialization.
Fermigier-Mestre K3 1.1.0 One-parameter K3 reconstruction with 12 exact generic sections.
Fibonacci Triples 0.1.3 Odd/even elliptic families from Fibonacci Diophantine triples.
Kihara (2001) 1.2.0 Published generic-rank-at-least-14 family with 14 exact sections.
Kloosterman Rank-15 K3 1.1.0 Explicit K3 surface proved in the literature to have Mordell-Weil rank 15.
Mazur Torsion Families 0.1.5 Prescribed-torsion lanes covering all 15 rational torsion groups allowed over \(\mathbf Q\).
Mestre/Fermigier Sextuple 1.5.2 Generic-rank-at-least-11 sextuple family with quartic/PGL2 deep search.
Dujella-Peral Z/4 Rank 6 0.1.1 Published Z/4 family with exact generic rank 6.
Dujella-Peral-Tadic Z/6 Rank 3 0.1.0 Six explicit Z/6 rank-3 variants.
Z/8 Rank-2 Families 0.1.0 Seven pairwise non-isomorphic Z/8 families of exact generic rank 2.
Z/2 × Z/6 Rank-2 Families 0.1.0 Five pairwise non-isomorphic Z/2 × Z/6 families of exact generic rank 2.
Z/2 × Z/4 Diophantine Rank 4 0.1.0 Prescribed-torsion family from Diophantine triples.
Diophantine Triple Rank 6 0.1.0 Explicit C2 × C2 Diophantine-triple family of exact generic rank 6.
Rational Diophantine Triple Rank ≥7 0.1.0 Genus-1-base infinite C2 × C2 family with verified generic lower bound 7.
Nagao j=1728 Rank ≥4 0.1.0 Nagao j=1728 twist family with four independent generic sections.

Family details

Open Plugins → Families in Rank Hunter for the version you actually have installed.

Each Family also keeps its own README and provenance file in the rh-plugins repository. Those files are the right place for:

  • equations;
  • paper/reference details;
  • generic sections;
  • exact claim boundaries;
  • family-specific search notes.

The plugin version can change without a Rank Hunter core release.