Database - g2c_curves

Formats: - HTML - YAML - JSON - 2026-10-15T23:12:02.003117

Query: /api/g2c_curves/?_offset=0

Table g2c_curves

Genus 2 curves over Q

Column	Type	Example
Lhash	text	'2024036011490738979'
abs_disc	bigint	570748
analytic_rank	smallint	1
analytic_rank_proved	boolean	False
analytic_sha	smallint	1
aut_grp_id	text	'[2,1]'
aut_grp_label	text	'2.1'
aut_grp_tex	text	'C_2'
bad_lfactors	text	'[[2,[1,1,0,-2]],[97,[1,4,92,-97]],[1471,[1,-59,1529,-1471]]]'
bad_primes	integer[]	[2, 97, 1471]
class	text	'285374.a'
cond	bigint	285374
disc_sign	smallint	1
end_alg	text	'Q'
eqn	text	'[[-8,30,-36,12,1,1],[0,1]]'
g2_inv	text	"['1018162310408593408/142687','42552644536088320/142687','2377145748822928/142687']"
geom_aut_grp_id	text	'[2,1]'
geom_aut_grp_label	text	'2.1'
geom_aut_grp_tex	text	'C_2'
geom_end_alg	text	'Q'
globally_solvable	smallint	1
has_square_sha	boolean	True
hasse_weil_proved	boolean	False
igusa_clebsch_inv	text	"['10544','-21164','-72768881','2282992']"
igusa_inv	text	"['5272','1161610','342109393','113565731949','570748']"
is_gl2_type	boolean	False
is_simple_base	boolean	True
is_simple_geom	boolean	True
label	text	'285374.a.570748.1'
leading_coeff	numeric	2.5569281917801204139140919737340250845217840392205
locally_solvable	boolean	True
modell_images	text[]	['2.6.1']
mw_rank	smallint	1
mw_rank_proved	boolean	True
non_maximal_primes	integer[]	[2]
non_solvable_places	jsonb	[]
num_rat_pts	smallint	3
num_rat_wpts	smallint	1
real_geom_end_alg	text	'R'
real_period	numeric	7.6772932531725662134092885651
regulator	numeric	0.166525369519
root_number	smallint	-1
sha_proved	boolean
st_group	text	'USp(4)'
st_label	text	'1.4.A.1.1a'
st_label_components	integer[]	[1, 4, 0, 1, 1, 0]
tamagawa_product	smallint	2
torsion_order	smallint	1
torsion_subgroup	text	'[]'
two_selmer_rank	smallint	1
two_torsion_field	jsonb	['5.1.2282992.1', [-23, 13, -12, 6, -1, 1], [5, 5], False]

{'Lhash': '1146119130581588304', 'abs_disc': 293888, 'analytic_rank': 0, 'analytic_rank_proved': False, 'analytic_sha': 1, 'aut_grp_id': '[2,1]', 'aut_grp_label': '2.1', 'aut_grp_tex': 'C_2', 'bad_lfactors': '[[2,[1,0,1,-2]],[7,[1,1,5,-7]],[41,[1,-1,39,41]]]', 'bad_primes': [2, 7, 41], 'class': '574.a', 'cond': 574, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[1,1,-3,0,-1,1],[0,1,1]]', 'g2_inv': "['-1419857/293888','-820471/20992','-2601/1148']", 'geom_aut_grp_id': '[2,1]', 'geom_aut_grp_label': '2.1', 'geom_aut_grp_tex': 'C_2', 'geom_end_alg': 'Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': False, 'id': 44, 'igusa_clebsch_inv': "['68','-55823','-955895','-37617664']", 'igusa_inv': "['17','2338','2304','-1356769','-293888']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '574.a.293888.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2886587543015229003824325186836654917809429287527013022', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.180.3'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 5], 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '11.546350172060916015297300747', 'prec': 97}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'root_number': 1, 'st_group': 'USp(4)', 'st_label': '1.4.A.1.1a', 'st_label_components': [1, 4, 0, 1, 1, 0], 'tamagawa_product': 10, 'torsion_order': 20, 'torsion_subgroup': '[2,10]', 'two_selmer_rank': 2, 'two_torsion_field': ['4.0.82369.2', [144, 0, -17, 0, 1], [4, 2], True]}