K<a>:=NumberField(x^2-x+3);
R:=MaximalOrder(K);

function tzi(ai,n)
     E:=EllipticCurve(ai);//ai;
     if BaseRing(E) eq Q then E:=BaseChange(E,K); end if;
     return <K!n, MyConductor(E) eq ideal<R|n>>;
     end function;

tzi([0  ,-1  ,1  ,0  ,0  ]                                     , 1 - 2*a  );
tzi([0  ,-1  ,1  ,-10  ,-20  ]                                 , 1 - 2*a  );
tzi([0  ,-1  ,1  ,-7820  ,-263580  ]                           , 1 - 2*a  );
tzi([ a  , a  ,1 + a  ,-2*a  ,2 -2*a  ]                          , 3*a  );
tzi([ a  , a  ,1 + a  ,15 -7*a  ,-13 -3*a  ]                     , 3*a  );
tzi([1  ,-1 - a  , a  , a  ,3 - a  ]                           , 3*a  );
tzi([ a  , a  ,1 + a  ,240 -97*a  ,-1012 -381*a  ]               , 3*a  );
tzi([ a  , a  ,1 + a  ,30 +3*a  ,-94 +51*a  ]                    , 3*a  );
tzi([1  ,-1 - a  , a  ,15 -4*a  ,3 +8*a  ]                       , 3*a  );
tzi([1  ,-1 - a  , a  ,15 -19*a  ,-96 +50*a  ]                   , 3*a  );
tzi([1  ,-1 - a  , a  ,255 -69*a  ,522 +642*a  ]                 , 3*a  );
tzi([0  ,1 - a  ,1  ,-1  ,0  ]                                 , 5 + 2*a  );
tzi([ a  , a  ,0  ,-1  ,0  ]                                   , 2 + 5*a  );
tzi([ a  , a  ,0  ,4  ,-3 +5*a  ]                               , 2 + 5*a  );
tzi([1 + a  ,0  ,1  ,-1 - a  ,0  ]                             , 8 + 2*a  );
tzi([1 + a  ,0  ,1  ,4 +4*a  ,-18 +4*a  ]                        , 8 + 2*a  );
tzi([1 + a  ,0  ,1  ,-96 +24*a  ,-322 +116*a  ]                  , 8 + 2*a  );
tzi([1  ,-1 - a  ,1  ,-2  , a  ]                               , 3 + 5*a  );
tzi([1  ,-1 - a  ,1  ,-17 -10*a  ,6 +41*a  ]                     , 3 + 5*a  );
tzi([1  ,1  ,0  ,-11  ,0  ]                                    , 3 - 6*a  );
tzi([1  ,1  ,0  ,-146  ,621  ]                                 , 3 - 6*a  );
tzi([1  ,1  ,0  ,-6  ,-9  ]                                    , 3 - 6*a  );
tzi([1  ,1  ,0  ,44  ,55  ]                                    , 3 - 6*a  );
tzi([1  ,1  ,0  ,509 -50*a  ,58 +2414*a  ]                       , 3 - 6*a  );
tzi([1  ,1  ,0  ,459 +50*a  ,2472 -2414*a  ]                     , 3 - 6*a  );
tzi([ a  ,0  ,1  ,0  ,0  ]                                     , 6 + 4*a  );
tzi([1  ,-1 + a  , a  , -a  ,1  ]                              , 6 + 4*a  );
tzi([1  ,-1 + a  , a  ,30 -21*a  ,-81 +6*a  ]                    , 6 + 4*a  );
tzi([1 + a  ,-1 + a  ,1 + a  ,1 -2*a  ,-1 + a  ]                , 6 + 4*a  );
tzi([1  ,-1 + a  ,1 + a  ,1 -2*a  ,3  ]                         , 6 + 4*a  );
tzi([1 + a  ,-1 + a  ,1 + a  ,-14 +3*a  ,-11 +2*a  ]             , 6 + 4*a  );
tzi([1 + a  ,-1 + a  ,1 + a  ,-974 +443*a  ,-9107 +6754*a  ]     , 6 + 4*a  );
tzi([1 + a  ,-1 + a  ,1 + a  ,-11 + a  ,5 -9*a  ]               , 6*a  );
tzi([1 + a  ,-1 + a  ,1 + a  ,-131 +41*a  ,485 -337*a  ]         , 6*a  );
tzi([ a  ,0  ,1  ,12 +2*a  ,12 -10*a  ]                          , 6*a  );
tzi([1  ,-1 + a  ,1 + a  ,4 -9*a  ,27 -8*a  ]                    , 6*a  );
tzi([1  ,-1 + a  ,1 + a  ,-26 + a  ,105 -16*a  ]                , 6*a  );
tzi([ a  ,0  ,1  ,-18 +12*a  ,24 -62*a  ]                        , 6*a  );
tzi([1  ,1  ,0  ,-2  ,-7  ]                                    , 11  );
tzi([1  ,1  ,1  ,-30  ,-76  ]                                  , 11  );
tzi([ a  ,1 + a  , a  , a  ,0  ]                               , 3 + 6*a  );
tzi([ a  ,1 + a  , a  ,-5 +6*a  ,-9 -6*a  ]                      , 3 + 6*a  );
tzi([ a  ,1 + a  , a  ,15 -14*a  ,69 -10*a  ]                    , 3 + 6*a  );
tzi([ a  ,1 + a  , a  ,40 -24*a  ,-15 -25*a  ]                   , 3 + 6*a  );
tzi([1 + a  , a  ,1 + a  ,-4 + a  ,-3  ]                       , 2 + 7*a  );
tzi([1 + a  , a  ,1 + a  ,1 +6*a  ,-33 +5*a  ]                   , 2 + 7*a  );
tzi([0  ,1  ,0  ,3  ,-1  ]                                     , 4 - 8*a  );
tzi([0  ,1  ,0  ,-77  ,-289  ]                                 , 4 - 8*a  );
tzi([0  ,1 - a  , a  , a  ,0  ]                                , 3 + 7*a  );
tzi([ a  ,-1 - a  ,0  ,4  ,0  ]                                , 6 + 6*a  );
tzi([ a  ,-1 - a  ,0  ,-16  ,28 +12*a  ]                        , 6 + 6*a  );
tzi([ a  ,-1 - a  ,0  ,-246 -30*a  ,1584 +378*a  ]               , 6 + 6*a  );
tzi([ a  ,-1 - a  ,0  ,-106 +30*a  ,-296 +174*a  ]               , 6 + 6*a  );
tzi([1  ,0  ,1  ,-1  ,0  ]                                     , 14  );
tzi([1  ,0  ,1  ,-11  ,12  ]                                   , 14  );
tzi([1  ,0  ,1  ,4  ,-6  ]                                     , 14  );
tzi([1  ,0  ,1  ,-36  ,-70  ]                                  , 14  );
tzi([1  ,0  ,1  ,-171  ,-874  ]                                , 14  );
tzi([1  ,0  ,1  ,-2731  ,-55146  ]                             , 14  );
