# Genus 2 curves downloaded from the LMFDB on 25 February 2021.
# Query "{'geom_aut_grp_id': '[24,8]'}" returned 4 curves.
# Below are two lists, one called labels, and one called data (in matching order).
# Each entry in the data list has the form:
# [[f coeffs],[h coeffs]]
# defining the hyperelliptic curve y^2+h(x)y=f(x).
#
# To create a list of curves, type "curves = make_data()"
labels = [\
"2916.b.11664.1",
"11664.a.11664.1",
"20736.i.373248.1",
"20736.k.373248.1"]
data = [\
[[0, 0, 0, 0, 0, 0, 1], [1]],
[[0, 0, 0, 0, 0, 0, -1], [1]],
[[-2], [0, 0, 0, 1]],
[[2], [0, 0, 0, 1]]]
def make_data():
R.=PolynomialRing(QQ)
return [HyperellipticCurve(R(r[0]),R(r[1])) for r in data]