Entry details for q = 21 = 2, g = 25
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Lower bound Nmin = 24

Submitted by Gerrit Oomens
Date 01/01/1900
Reference C. P. Xing, H. Niederreiter
Drinfeld modules of rank 1 and algebraic curves with many rational points
Monatsh. Math. 127 (1999), p. 219-241.
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Tags Methods from general class field theory

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Defining equation     
Isabel Pirsic
06/18/2012 13:26
y^24 + (x^12 + x^9 + x^7 + x^4 + 1)*y^20 + (x^15 + x^14 + x^11 + x^10 + x^9 +
x^8 + x^7 + x^4)*y^18 + (x^15 + x^14 + x^12 + x^11 + x^10 + x^8)*y^17 +
(x^36 + x^27 + x^26 + x^25 + x^24 + x^22 + x^21 + x^18 + x^16 + x^15 + x^14
+ x^11 + x^10 + x^9 + x^8 + x^6 + x^4 + 1)*y^16 + (x^36 + x^33 + x^31 + x^27
+ x^26 + x^25 + x^24 + x^23 + x^21 + x^18 + x^17 + x^16 + x^15 + x^9 + x^7 +
x^4 + 1)*y^12 + (x^39 + x^38 + x^35 + x^34 + x^31 + x^30 + x^27 + x^26 +
x^21 + x^20 + x^19 + x^17 + x^14 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 +
x^4)*y^10 + (x^39 + x^38 + x^36 + x^35 + x^34 + x^33 + x^30 + x^25 + x^24 +
x^23 + x^20 + x^19 + x^18 + x^16 + x^15 + x^14 + x^12 + x^11 + x^10 +
x^8)*y^9 + (x^72 + x^60 + x^52 + x^51 + x^50 + x^49 + x^46 + x^44 + x^43 +
x^41 + x^34 + x^33 + x^29 + x^26 + x^25 + x^22 + x^19 + x^14 + x^12 + x^11 +
x^10 + x^9 + x^6)*y^8 + (x^45 + x^44 + x^43 + x^41 + x^39 + x^37 + x^36 +
x^35 + x^33 + x^32 + x^31 + x^24 + x^21 + x^20 + x^19 + x^17 + x^15 +
x^12)*y^6 + (x^45 + x^44 + x^43 + x^41 + x^39 + x^37 + x^35 + x^32 + x^27 +
x^26 + x^25 + x^23 + x^20 + x^19 + x^18 + x^16)*y^5 + (x^84 + x^81 + x^79 +
x^76 + x^72 + x^63 + x^62 + x^54 + x^52 + x^51 + x^50 + x^49 + x^46 + x^42 +
x^41 + x^40 + x^38 + x^36 + x^35 + x^33 + x^32 + x^31 + x^30 + x^26 + x^24 +
x^22 + x^18 + x^15 + x^13 + x^12 + x^11 + x^4)*y^4 + (x^45 + x^44 + x^43 +
x^41 + x^38 + x^37 + x^36 + x^34 + x^33 + x^32 + x^30 + x^27 + x^26 +
x^24)*y^3 + (x^87 + x^86 + x^83 + x^82 + x^81 + x^80 + x^79 + x^76 + x^69 +
x^68 + x^67 + x^64 + x^61 + x^60 + x^59 + x^57 + x^55 + x^54 + x^53 + x^50 +
x^46 + x^45 + x^44 + x^43 + x^42 + x^41 + x^40 + x^38 + x^37 + x^34 + x^32 +
x^30 + x^28 + x^26 + x^23 + x^19 + x^18 + x^17 + x^14 + x^13 + x^11 +
x^8)*y^2 + (x^87 + x^86 + x^84 + x^83 + x^82 + x^80 + x^69 + x^68 + x^67 +
x^64 + x^63 + x^62 + x^61 + x^59 + x^57 + x^55 + x^53 + x^50 + x^46 + x^44 +
x^43 + x^38 + x^35 + x^34 + x^32 + x^30 + x^29 + x^28 + x^27 + x^25 + x^22 +
x^15 + x^14 + x^12)*y + x^108 + x^99 + x^98 + x^97 + x^94 + x^93 + x^90 +
x^87 + x^86 + x^83 + x^82 + x^78 + x^76 + x^74 + x^73 + x^72 + x^69 + x^67 +
x^66 + x^65 + x^63 + x^62 + x^61 + x^60 + x^58 + x^57 + x^53 + x^51 + x^50 +
x^49 + x^47 + x^46 + x^44 + x^36 + x^35 + x^33 + x^30 + x^28 + x^27 + x^26 +
x^25 + x^24 + x^22 + x^21 + x^17 + x^16 + x^15 + x^13 + x^12 + x^10 + x^8
Upper bound Nmax = 24

Submitted by Gerrit Oomens
Date 01/01/1900
Reference C. P. Xing, H. Niederreiter
Drinfeld modules of rank 1 and algebraic curves with many rational points
Monatsh. Math. 127 (1999), p. 219-241.
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