Database - g2c_curves

Formats: - HTML - YAML - JSON - 2026-10-15T23:13:25.450252

Query: /api/g2c_curves/?_offset=0

Table g2c_curves

Genus 2 curves over Q

Column	Type	Example
Lhash	text	'2148520038281800892'
abs_disc	bigint	477696
analytic_rank	smallint	2
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]],[3,[1,1,3,3]],[311,[1,-31,341,-311]]]'
bad_primes	integer[]	[2, 3, 311]
class	text	'238848.b'
cond	bigint	238848
disc_sign	smallint	1
end_alg	text	'Q'
eqn	text	'[[0,-2,0,2,2],[1,1,1,1]]'
g2_inv	text	"['-165888/311','576','3840/311']"
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	"['24','969','5241','-1866']"
igusa_inv	text	"['48','-2488','-2560','-1578256','-477696']"
is_gl2_type	boolean	False
is_simple_base	boolean	True
is_simple_geom	boolean	True
label	text	'238848.b.477696.1'
leading_coeff	numeric	2.763181149107522467218310653783318831938869159139
locally_solvable	boolean	True
modell_images	text[]	[]
mw_rank	smallint	2
mw_rank_proved	boolean	True
non_maximal_primes	integer[]	[]
non_solvable_places	jsonb	[]
num_rat_pts	smallint	8
num_rat_wpts	smallint	0
real_geom_end_alg	text	'R'
real_period	numeric	15.092128520834700878930276936
regulator	numeric	0.0610291902673
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	3
torsion_order	smallint	1
torsion_subgroup	text	'[]'
two_selmer_rank	smallint	2
two_torsion_field	jsonb	['6.2.477696.1', [-3, 0, 2, 2, -1, -2, 1], [6, 16], False]

{'Lhash': '84410224055534154', 'abs_disc': 9664, '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]],[151,[1,9,141,-151]]]', 'bad_primes': [2, 151], 'class': '604.a', 'cond': 604, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[-21,-53,-4,48,9,4],[1,1,1]]', 'g2_inv': "['291864493641401980949/9664','9414430497536890397/1208','2143030742187944921/604']", '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': 57, 'igusa_clebsch_inv': "['49556','-797087975','-23996873337603','1236992']", 'igusa_inv': "['12389','39607304','223396249616','299729401586052','9664']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '604.a.9664.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2917880340909438023610651534253386660725423527891829039', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.6.1', '3.720.5'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3], 'non_solvable_places': [], 'num_rat_pts': 1, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '0.29178803409094380236106515343', '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': 1, 'torsion_subgroup': '[]', 'two_selmer_rank': 0, 'two_torsion_field': ['5.1.9664.1', [-1, 1, -3, 1, -1, 1], [5, 5], False]}