manYPoints  Table of Curves with Many Points
http://www.manypoints.org
manYPoints aims at providing an open access uptodate source for information on curves over finite fields with many points

Lower bound 1224 for q=289, g=37
http://www.manypoints.org/Details.aspx?e1=18184
Explicit curve given by the two equations y^3 = (x^2 + 1)^2 / x^2 and z^6 = (x^2 + 3) * (3*x^2 + 1) / x^2.

Lower bound 1280 for q=361, g=33
http://www.manypoints.org/Details.aspx?e1=18185
Explicit curve given by the two equations y^2 = (x^4 + 2) * (2*x^4 + 1) / x^4 and z^4 = (x^4 + 7) * (7*x^4 + 1) / x^4.

Lower bound 1368 for q=361, g=37
http://www.manypoints.org/Details.aspx?e1=18175
Explicit curve: y^20 = (x^2 + 2) * (2*x^2 + 1)/x^2.

Lower bound 174 for q=25, g=22
http://www.manypoints.org/Details.aspx?e1=18176
Explicit curve given by the two equations y^3 = (x^2 + 1)^2 / x^2 and z^6 = (x^2 + 4) * (4*x^2 + 1) / x^5.

Lower bound 402 for q=121, g=16
http://www.manypoints.org/Details.aspx?e1=18177
Explicit curve given by the two equations y^3 = (x^2 + 1)^2 / x^2 and z^3 = (x^2 + 7) * (7*x^2 + 1) / x^2.

Lower bound 462 for q=121, g=22
http://www.manypoints.org/Details.aspx?e1=18178
Explicit curve given by the two equations y^3 = (x^2 + 1)^2 and z^6 = (x^2 + 10) * (10*x^2 + 1) / x.

Lower bound 444 for q=169, g=11
http://www.manypoints.org/Details.aspx?e1=18179
Explicit curve given by the two equations y^2 = (x^2 + 4) / (4*x^2 + 1) and z^4 = x^2 * (x + 5) / (5*x + 1).

Lower bound 444 for q=169, g=13
http://www.manypoints.org/Details.aspx?e1=18180
Explicit curve given by the two equations y^2 = (x + 3) / (3*x + 1) and z^6 = x^2 * (x + 6) / (6*x + 1).

Lower bound 558 for q=169, g=16
http://www.manypoints.org/Details.aspx?e1=18181
Explicit curve given by the two equations y^3 = (x^2 + 3*x + 3) / (3*x^2 + 3*x + 1) and z^3 = x^2 * (x + 4) / (4*x + 1).

Lower bound 568 for q=169, g=21
http://www.manypoints.org/Details.aspx?e1=18182
Explicit curve given by the two equations y^4 = x * (x + 2) / (2*x + 1) and z^4 = x * (x + 6) / (6*x + 1).

Lower bound 808 for q=289, g=21
http://www.manypoints.org/Details.aspx?e1=18183
Explicit curve given by the two equations y^4 = x * (x + 3) / (3*x + 1) and z^4 = x * (x + 8) / (8*x + 1).

Lower bound 708 for q=289, g=15
http://www.manypoints.org/Details.aspx?e1=18165
Explicit curve: y^16 = x^9 * (x + 3) / (3*x + 1).

Lower bound 826 for q=289, g=20
http://www.manypoints.org/Details.aspx?e1=18166
Explicit curve: y^6 = (x^4 + 6*x^2 + 16) * (16*x^4 + 6*x^2 + 1)/x.

Lower bound 892 for q=289, g=23
http://www.manypoints.org/Details.aspx?e1=18167
Explicit curve: y^18 = (x^3 + 14*x + 2) * (2*x^3 + 14*x^2 + 1)/x^3.

Lower bound 972 for q=289, g=27
http://www.manypoints.org/Details.aspx?e1=18168
Explicit curve: y^16 = x^4 * (x^2 + 2) / (2*x^2 + 1).

Lower bound 1088 for q=289, g=33
http://www.manypoints.org/Details.aspx?e1=18169
Explicit curve: y^18 = (x^2 + 2) * (2*x^2 + 1)/x^2.

Lower bound 92928 for q=83521, g=17
http://www.manypoints.org/Details.aspx?e1=18170
Explicit curve: y^10 = (x^2 + 5) * (5*x^2 + 1)/x^2.

Lower bound 866 for q=361, g=15
http://www.manypoints.org/Details.aspx?e1=18171
Explicit curve: y^18 = x^3 * (x + 2) / (2*x + 1).

Lower bound 972 for q=361, g=22
http://www.manypoints.org/Details.aspx?e1=18172
Explicit curve: y^9 = x^6 * (x^3 + 4) / (4*x^3 + 1).

Lower bound 1072 for q=361, g=25
http://www.manypoints.org/Details.aspx?e1=18173
Explicit curve: y^10 = (x^4 + 2*x^2 + 16) * (16*x^4 + 2*x^2 + 1)/x^4.