Database - g2c_curves

Formats: - HTML - YAML - JSON - 2026-10-15T23:12:48.091818

Query: /api/g2c_curves/?_offset=0

Table g2c_curves

Genus 2 curves over Q

Column	Type	Example
Lhash	text	'444194209962258428'
abs_disc	bigint	881376
analytic_rank	smallint	0
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]],[3,[1,-1,3,-3]],[9181,[1,27,9207,9181]]]'
bad_primes	integer[]	[2, 3, 9181]
class	text	'110172.a'
cond	bigint	110172
disc_sign	smallint	1
end_alg	text	'Q'
eqn	text	'[[2,-4,6,-3,0,1],[0,1,1,1]]'
g2_inv	text	"['-105855734165625/293792','-16916149125/146896','439257375/73448']"
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	"['3180','627177','499848555','-112816128']"
igusa_inv	text	"['795','202','-8340','-1667776','-881376']"
is_gl2_type	boolean	False
is_simple_base	boolean	True
is_simple_geom	boolean	True
label	text	'110172.a.881376.1'
leading_coeff	numeric	2.3416254316751790649041710498271637829151843877422966209
locally_solvable	boolean	True
modell_images	text[]	['2.15.1']
mw_rank	smallint	0
mw_rank_proved	boolean	True
non_maximal_primes	integer[]	[2]
non_solvable_places	jsonb	[]
num_rat_pts	smallint	2
num_rat_wpts	smallint	0
real_geom_end_alg	text	'R'
real_period	numeric	9.3665017267007162596166841993
regulator	numeric	1.0
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	4
torsion_order	smallint	4
torsion_subgroup	text	'[4]'
two_selmer_rank	smallint	1
two_torsion_field	jsonb	['6.0.145654435008.3', [316, -48, 105, -115, 60, -3, 1], [6, 11], False]

{'Lhash': '379335071324098363', 'abs_disc': 181248, 'analytic_rank': 0, 'analytic_rank_proved': False, 'analytic_sha': 4, 'aut_grp_id': '[2,1]', 'aut_grp_label': '2.1', 'aut_grp_tex': 'C_2', 'bad_lfactors': '[[2,[1,0,1]],[3,[1,2,4,3]],[59,[1,1,59,59]]]', 'bad_primes': [2, 3, 59], 'class': '708.a', 'cond': 708, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[-36,-98,-41,48,9,-4,-1],[1,0,0,1]]', 'g2_inv': "['-686605237334059580078125/181248','365029741228054296875/181248','-208774418179643125/181248']", 'geom_aut_grp_id': '[2,1]', 'geom_aut_grp_label': '2.1', 'geom_aut_grp_tex': 'C_2', 'geom_end_alg': 'Q', 'globally_solvable': 0, 'has_square_sha': True, 'hasse_weil_proved': False, 'id': 77, 'igusa_clebsch_inv': "['234100','3468879025','202585466081177','-23199744']", 'igusa_inv': "['58525','-1820975','60952909','62829762150','-181248']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '708.a.181248.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3253436263090930861989774464993483153633277631657705005', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.15.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 5], 'non_solvable_places': [], 'num_rat_pts': 0, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '0.32534362630909308619897744650', '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': 1, 'torsion_order': 2, 'torsion_subgroup': '[2]', 'two_selmer_rank': 3, 'two_torsion_field': ['6.2.24060672.2', [-108, 0, -18, 0, 3, 0, 1], [6, 11], False]}