Learn more

Refine search

  *The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.


Results (20 matches)

  Download to        
Label Base field Conductor Isogeny class Weierstrass coefficients
242.3-a1 3.3.316.1 242.3 242.3-a \( \bigl[a\) , \( a^{2} + a - 4\) , \( a + 1\) , \( -5 a^{2} + 15 a - 3\) , \( 33 a^{2} - 93 a + 35\bigr] \)
242.3-a2 3.3.316.1 242.3 242.3-a \( \bigl[a\) , \( a^{2} - 2\) , \( a^{2} + a - 3\) , \( 14 a^{2} + 15 a - 111\) , \( -78 a^{2} - 26 a + 485\bigr] \)
242.3-b1 3.3.316.1 242.3 242.3-b \( \bigl[a^{2} + a - 3\) , \( a^{2} - 4\) , \( a^{2} - 3\) , \( -17089005789166286516 a^{2} + 9045494102123436959 a + 72613587255077018672\) , \( 239491187919164651072372415896 a^{2} - 126766656560365448750343743032 a - 1017631715112124311122237879909\bigr] \)
242.3-b2 3.3.316.1 242.3 242.3-b \( \bigl[a^{2} + a - 3\) , \( -a + 1\) , \( a\) , \( 163201859571 a^{2} - 86385450180 a - 693467637401\) , \( 52479892685555807 a^{2} - 27778477321846893 a - 222994439446883602\bigr] \)
242.3-b3 3.3.316.1 242.3 242.3-b \( \bigl[a^{2} + a - 3\) , \( -a + 1\) , \( a\) , \( 10200132836 a^{2} - 5399099430 a - 43341797926\) , \( 820000263652323 a^{2} - 434039735261194 a - 3484296361562003\bigr] \)
242.3-b4 3.3.316.1 242.3 242.3-b \( \bigl[1\) , \( a^{2} + a - 4\) , \( 1\) , \( 100 a^{2} + 76 a - 721\) , \( 1048 a^{2} + 485 a - 6877\bigr] \)
242.3-b5 3.3.316.1 242.3 242.3-b \( \bigl[1\) , \( a\) , \( a + 1\) , \( 20203900862562389334443 a^{2} - 10694259709833632274695 a - 85849214183464417082380\) , \( -2285799641956889659257421153575487 a^{2} + 1209911649340346379381685404090182 a + 9712683920681029332844506518986769\bigr] \)
242.3-b6 3.3.316.1 242.3 242.3-b \( \bigl[1\) , \( a\) , \( a + 1\) , \( 1331292997660594700983 a^{2} - 704675456671176969100 a - 5656851044487640237345\) , \( -31621800609835111873402107774674 a^{2} + 16737943356313969364667113002303 a + 134365474859900078732316315405433\bigr] \)
242.3-b7 3.3.316.1 242.3 242.3-b \( \bigl[1\) , \( a + 1\) , \( a^{2} - 2\) , \( -26140776857754976733142982 a^{2} + 13836746608257972575168441 a + 111075834644485451677761735\) , \( -176958717384573892178034799698113749293 a^{2} + 93667183109988451030481895839197063871 a + 751922459614203146023948231356362753108\bigr] \)
242.3-b8 3.3.316.1 242.3 242.3-b \( \bigl[1\) , \( -a^{2} + a + 3\) , \( 0\) , \( 41761256065998246 a^{2} - 22104925242738941 a - 177449446073241693\) , \( 6321701762221270525137686 a^{2} - 3346181557373420332949796 a - 26861799227819409800534166\bigr] \)
242.3-c1 3.3.316.1 242.3 242.3-c \( \bigl[a\) , \( a^{2} - 3\) , \( 1\) , \( a^{2} - 2\) , \( -2 a^{2} + 2 a + 10\bigr] \)
242.3-c2 3.3.316.1 242.3 242.3-c \( \bigl[a\) , \( -a^{2} + 2\) , \( a + 1\) , \( 422 a^{2} - 224 a - 1795\) , \( -6651 a^{2} + 3520 a + 28260\bigr] \)
242.3-d1 3.3.316.1 242.3 242.3-d \( \bigl[a^{2} + a - 3\) , \( -a^{2} - a + 2\) , \( a^{2} + a - 2\) , \( 10351 a^{2} - 8483 a - 49431\) , \( 646151 a^{2} - 226218 a - 2535570\bigr] \)
242.3-d2 3.3.316.1 242.3 242.3-d \( \bigl[a^{2} + a - 3\) , \( -a^{2} + a + 4\) , \( 0\) , \( 185 a^{2} + 227 a - 211\) , \( -4950 a^{2} - 6821 a + 3934\bigr] \)
242.3-d3 3.3.316.1 242.3 242.3-d \( \bigl[a^{2} + a - 3\) , \( -a^{2} + a + 4\) , \( 0\) , \( -105 a^{2} - 138 a + 94\) , \( -1246 a^{2} - 1676 a + 1059\bigr] \)
242.3-d4 3.3.316.1 242.3 242.3-d \( \bigl[1\) , \( a^{2} + a - 3\) , \( 1\) , \( 379 a^{2} - 202 a - 1613\) , \( 9540 a^{2} - 5059 a - 40554\bigr] \)
242.3-e1 3.3.316.1 242.3 242.3-e \( \bigl[1\) , \( a\) , \( a + 1\) , \( 479825 a^{2} - 254167 a - 2039183\) , \( 264702823 a^{2} - 140109753 a - 1124756159\bigr] \)
242.3-e2 3.3.316.1 242.3 242.3-e \( \bigl[1\) , \( -a^{2} + a + 3\) , \( 0\) , \( -a^{2} - 5 a - 5\) , \( 7 a^{2} - 6 a - 34\bigr] \)
242.3-f1 3.3.316.1 242.3 242.3-f \( \bigl[a^{2} + a - 3\) , \( -a - 1\) , \( a^{2} - 3\) , \( -a - 3\) , \( -2\bigr] \)
242.3-f2 3.3.316.1 242.3 242.3-f \( \bigl[a^{2} + a - 3\) , \( -a^{2} + 2\) , \( a\) , \( 11155 a^{2} - 5917 a - 47423\) , \( 950125 a^{2} - 502958 a - 4037290\bigr] \)
  Download to