Database - g2c_curves

Formats: - HTML - YAML - JSON - 2026-10-15T23:13:40.254902

Query: /api/g2c_curves/?_offset=0

Table g2c_curves

Genus 2 curves over Q

Column	Type	Example
Lhash	text	'967094648741827602'
abs_disc	bigint	618690
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,[1,0,1,-2]],[3,[1,1,3,3]],[5,[1,2,2,-5]],[41,[1,1,41,41]],[503,[1,11,491,-503]]]'
bad_primes	integer[]	[2, 3, 5, 41, 503]
class	text	'618690.a'
cond	bigint	618690
disc_sign	smallint	1
end_alg	text	'Q'
eqn	text	'[[-1,-6,8,0,-3],[1,0,0,1]]'
g2_inv	text	"['3846897775287/5030','153399330567/5030','2129224587/5030']"
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	"['3444','31857','103800729','79192320']"
igusa_inv	text	"['861','29561','353281','-142419445','618690']"
is_gl2_type	boolean	False
is_simple_base	boolean	True
is_simple_geom	boolean	True
label	text	'618690.a.618690.1'
leading_coeff	numeric	2.301263102375752243845027936269374988531164379660
locally_solvable	boolean	True
modell_images	text[]	[]
mw_rank	smallint	1
mw_rank_proved	boolean	True
non_maximal_primes	integer[]	[]
non_solvable_places	jsonb	[]
num_rat_pts	smallint	2
num_rat_wpts	smallint	0
real_geom_end_alg	text	'R'
real_period	numeric	7.7197253234962879873962521229
regulator	numeric	0.298101681853
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	1
torsion_order	smallint	1
torsion_subgroup	text	'[]'
two_selmer_rank	smallint	1
two_torsion_field	jsonb	['6.2.39596160.1', [-4, -16, 0, -8, 5, -2, 1], [6, 16], False]

{'Lhash': '651912719483453036', 'abs_disc': 3048, '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]],[3,[1,1,1,-3]],[127,[1,17,143,127]]]', 'bad_primes': [2, 3, 127], 'class': '762.a', 'cond': 762, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[1,1,1],[0,1,1,1]]', 'g2_inv': "['14025517307/3048','140879945/1016','20871527/3048']", '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': 88, 'igusa_clebsch_inv': "['428','3169','355487','390144']", 'igusa_inv': "['107','345','1823','19009','3048']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '762.a.3048.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3486135246477613131082012712614463337861906590744657513', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.15.1', '3.80.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3], 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '16.733449183092543029193661021', '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': 3, 'torsion_order': 12, 'torsion_subgroup': '[12]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.4.27870912.2', [16, -48, 26, 14, -11, -1, 1], [6, 11], False]}