manYPoints - Table of Curves with Many Points http://www.manypoints.org manYPoints aims at providing an open access up-to-date source for information on curves over finite fields with many points Lower bound 82 for q=4, g=49 http://www.manypoints.org/Details.aspx?e1=18575 Lower bound 2514998 for q=2476099, g=14 http://www.manypoints.org/Details.aspx?e1=18574 Quotient of the Shimura curve X_0^134(15) by the group generated by the Atkin-Lehner involutions w_2, w_5, and w_67. Lower bound 1441318 for q=1419857, g=12 http://www.manypoints.org/Details.aspx?e1=18570 Quotient of the Shimura curve X_0^570(11) by the group generated by the Atkin-Lehner involutions w_5, w_6, and w_209. Lower bound 1444848 for q=1419857, g=13 http://www.manypoints.org/Details.aspx?e1=18571 Quotient of the Shimura curve X_0^2415(1) by the group generated by the Atkin-Lehner involutions w_15 and w_161. Lower bound 1451936 for q=1419857, g=19 http://www.manypoints.org/Details.aspx?e1=18572 Quotient of the Shimura curve X_0^14(141) by the group generated by the Atkin-Lehner involutions w_14 and w_94. Lower bound 1436014 for q=1419857, g=8 http://www.manypoints.org/Details.aspx?e1=18573 Quotient of the Shimura curve X_0^546(5) by the group generated by the Atkin-Lehner involutions w_2, w_91, and w_39. Lower bound 384006 for q=371293, g=14 http://www.manypoints.org/Details.aspx?e1=18566 Quotient of the Shimura curve X_0^6(265) by the group generated by the Atkin-Lehner involutions w_30 and w_159. Lower bound 386416 for q=371293, g=15 http://www.manypoints.org/Details.aspx?e1=18567 Quotient of the Shimura curve X_0^15(112) by the group generated by the Atkin-Lehner involutions w_16, w_5, and w_21. Lower bound 386880 for q=371293, g=17 http://www.manypoints.org/Details.aspx?e1=18568 Quotient of the Shimura curve X_0^15(32) by the Atkin-Lehner involution w_5. Lower bound 1441950 for q=1419857, g=10 http://www.manypoints.org/Details.aspx?e1=18569 Quotient of the Shimura curve X_0^14(141) by the group generated by the Atkin-Lehner involutions w_2, w_7, and w_47. Lower bound 20520 for q=16807, g=19 http://www.manypoints.org/Details.aspx?e1=18562 Quotient of the Shimura curve X_0^26(27) by the Atkin-Lehner involution w_13. Lower bound 32436 for q=28561, g=13 http://www.manypoints.org/Details.aspx?e1=18563 Quotient of the Shimura curve X_0^35(9) by the Atkin-Lehner involution w_7. Lower bound 168744 for q=161051, g=13 http://www.manypoints.org/Details.aspx?e1=18564 Quotient of the Shimura curve X_0^39(8) by the Atkin-Lehner involution w_3. Lower bound 381782 for q=371293, g=12 http://www.manypoints.org/Details.aspx?e1=18565 Quotient of the Shimura curve X_0^6(265) by the group generated by the Atkin-Lehner involutions w_265 and w_30. Lower bound 18883 for q=16807, g=11 http://www.manypoints.org/Details.aspx?e1=18558 Quotient of the Shimura curve X_0^4182(1) by the group generated by the Atkin-Lehner involutions w_17, w_6, and w_123. Lower bound 19682 for q=16807, g=12 http://www.manypoints.org/Details.aspx?e1=18559 Quotient of the Shimura curve X_0^6(475) by the group generated by the Atkin-Lehner involutions w_25, w_57, and w_6. Lower bound 19456 for q=16807, g=13 http://www.manypoints.org/Details.aspx?e1=18560 Quotient of the Shimura curve X_0^82(15) by the group generated by the Atkin-Lehner involutions w_41 and w_10. Lower bound 20106 for q=16807, g=17 http://www.manypoints.org/Details.aspx?e1=18561 Quotient of the Shimura curve X_0^82(15) by the group generated by the Atkin-Lehner involutions w_2 and w_41. Lower bound 1624 for q=361, g=47 http://www.manypoints.org/Details.aspx?e1=18554 Quotient of the Shimura curve X_0^21(62) by the Atkin-Lehner involution w_93. Lower bound 1700 for q=361, g=48 http://www.manypoints.org/Details.aspx?e1=18555 Quotient of the Shimura curve X_0^51(52) by the group generated by the Atkin-Lehner involutions w_39 and w_51.