Entry details for q = 21 = 2, g = 14
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Lower bound Nmin = 16

Submitted by Virgile Ducet
Date 05/23/2012
Reference Not available
Comments
The curve has equation:

y^8 + (x^10 + x^8 + x^6 + x^4 + x^3 + x)*y^6 + (x^17 + x^15 + x^9 + x^7 + x^3 + x)*y^5 + (x^28 + x^23 + x^22 + x^19 + x^18 + x^16 + x^14 + x^12 + x^11 + x^10 + x^9 + x^7 + x^5 + x^4 + x^2 + x + 1)*y^4 + (x^31 + x^29 + x^15 + x^13 + x^3 + x)*y^3 + (x^40 + x^37 + x^36 + x^30 + x^24 + x^21 + x^20 + x^14 + x^12 + x^9 + x^8 + x^2)*y^2 + (x^47 + x^45 + x^39 + x^37 + x^33 + x^29 + x^23 + x^21 + x^19 + x^15 + x^11 + x^9 + x^5 + x^3)*y + x^60 + x^58 + x^53 + x^51 + x^49 + x^47 + x^46 + x^45 + x^44 + x^43 + x^41 + x^38 + x^36 + x^32 + x^31 + x^29 + x^27 + x^26 + x^23 + x^22 + x^20 + x^18 + x^15 + x^14 + x^13 + x^10 + x^9 + x^8 + x^7 + x^5
Tags Methods from general class field theory

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Upper bound Nmax = 16

Submitted by Gerrit Oomens
Date 01/01/1900
Reference Jean-Pierre Serre
Rational points on curves over finite fields
Notes by Fernando Q. Gouvêa of lectures at Harvard University, 1985.
Comments
Tags None

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