Database - g2c_curves

Formats: - HTML - YAML - JSON - 2026-10-15T23:13:40.437131

Query: /api/g2c_curves/?_offset=0

Table g2c_curves

Genus 2 curves over Q

Column	Type	Example
Lhash	text	'679304685961256386'
abs_disc	bigint	998126
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]],[499063,[1,-583,498479,499063]]]'
bad_primes	integer[]	[2, 499063]
class	text	'998126.a'
cond	bigint	998126
disc_sign	smallint	1
end_alg	text	'Q'
eqn	text	'[[-1,3,-1,2],[0,1,1,1]]'
g2_inv	text	"['4094691316893/998126','93607503795/998126','-4036248711/998126']"
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	"['1332','50049','22663665','127760128']"
igusa_inv	text	"['333','2535','-36399','-4636773','998126']"
is_gl2_type	boolean	False
is_simple_base	boolean	True
is_simple_geom	boolean	True
label	text	'998126.a.998126.1'
leading_coeff	numeric	3.39378426688458967927184771679201152681867931024
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	6.9845865750661932838097968607
regulator	numeric	0.485896227416
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	['6.2.63880064.1', [-4, -12, -3, -10, 3, -2, 1], [6, 16], False]

{'Lhash': '312369878683860827', 'abs_disc': 1568, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[4,2]', 'aut_grp_label': '4.2', 'aut_grp_tex': 'C_2^2', 'bad_lfactors': '[[2,[1,1]],[7,[1,0,-1]]]', 'bad_primes': [2, 7], 'class': '784.a', 'cond': 784, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[-2,0,3,0,-2],[0,1,0,1]]', 'g2_inv': "['304316815968/49','12641055372/49','14427072']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'id': 93, 'igusa_clebsch_inv': "['792','120','15228','6272']", 'igusa_inv': "['396','6514','144256','3673295','1568']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '784.a.1568.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2887965445848189243502666365046684126736890460442209383', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.90.3', '3.2160.21'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '20.793351210106962553219197828', 'prec': 97}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 2, 'torsion_order': 12, 'torsion_subgroup': '[12]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.392.1', [1, 1, 0, -1, 1], [4, 3], False]}