Database - g2c_curves

Formats: - HTML - YAML - JSON - 2026-10-15T23:13:37.609552

Query: /api/g2c_curves/?_offset=0

Table g2c_curves

Genus 2 curves over Q

Column	Type	Example
Lhash	text	'1027702861924635587'
abs_disc	bigint	77536
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]],[2423,[1,-20,2442,-2423]]]'
bad_primes	integer[]	[2, 2423]
class	text	'19384.a'
cond	bigint	19384
disc_sign	smallint	1
end_alg	text	'Q'
eqn	text	'[[0,0,2,1,-1,-2,1],[1,1]]'
g2_inv	text	"['-656356768/2423','164089192/2423','311170/2423']"
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	"['232','23548','1177332','-310144']"
igusa_inv	text	"['116','-3364','-740','-2850584','-77536']"
is_gl2_type	boolean	False
is_simple_base	boolean	True
is_simple_geom	boolean	True
label	text	'19384.a.77536.1'
leading_coeff	numeric	1.56161842993669244254228441261352215146632467463543
locally_solvable	boolean	True
modell_images	text[]	[]
mw_rank	smallint	1
mw_rank_proved	boolean	True
non_maximal_primes	integer[]	[5]
non_solvable_places	jsonb	[]
num_rat_pts	smallint	6
num_rat_wpts	smallint	0
real_geom_end_alg	text	'R'
real_period	numeric	17.241683464084575439262483380
regulator	numeric	0.452861355792
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	5
torsion_order	smallint	5
torsion_subgroup	text	'[5]'
two_selmer_rank	smallint	1
two_torsion_field	jsonb	['6.2.1240576.1', [-4, 8, -10, 4, 0, -2, 1], [6, 16], False]

{'Lhash': '1445475659822937675', 'abs_disc': 3152, '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,[1,1,0,-2]],[197,[1,-19,215,-197]]]', 'bad_primes': [2, 197], 'class': '394.a', 'cond': 394, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,0,0,0,0,-1],[1,1]]', 'g2_inv': "['-6400000/197','-280000/197','-3900/197']", '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': 23, 'igusa_clebsch_inv': "['80','-20','649','-12608']", 'igusa_inv': "['40','70','39','-835','-3152']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '394.a.3152.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2007827436393815644080807779968133033949398154305736677', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.30.3'], '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': '20.078274363938156440808077800', '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': 4, 'torsion_order': 20, 'torsion_subgroup': '[20]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.788.1', [2, -2, 2, -1, 1], [4, 5], False]}