Database - g2c_curves

Formats: - HTML - YAML - JSON - 2026-10-15T23:11:17.475001

Query: /api/g2c_curves/?_offset=0

Table g2c_curves

Genus 2 curves over Q

Column	Type	Example
Lhash	text	'936183318495439943'
abs_disc	bigint	676660
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,-1,2,-2]],[5,[1,0,4,5]],[23,[1,5,17,-23]],[1471,[1,-40,1430,1471]]]'
bad_primes	integer[]	[2, 5, 23, 1471]
class	text	'338330.b'
cond	bigint	338330
disc_sign	smallint	1
end_alg	text	'Q'
eqn	text	'[[2,-1,-13,3,22,2],[0,0,1]]'
g2_inv	text	"['16512888889065344256/169165','1972261575749088/169165','22434050394756/169165']"
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	"['18408','21117696','97220666427','2706640']"
igusa_inv	text	"['9204','10118','1059289','2411830508','676660']"
is_gl2_type	boolean	False
is_simple_base	boolean	True
is_simple_geom	boolean	True
label	text	'338330.b.676660.1'
leading_coeff	numeric	2.905325426536523421920428186152811535395148833414297090
locally_solvable	boolean	True
modell_images	text[]	['2.6.1', '3.80.1']
mw_rank	smallint	0
mw_rank_proved	boolean	True
non_maximal_primes	integer[]	[2, 3]
non_solvable_places	jsonb	[]
num_rat_pts	smallint	1
num_rat_wpts	smallint	1
real_geom_end_alg	text	'R'
real_period	numeric	13.073964419414355398641926838
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	2
torsion_order	smallint	3
torsion_subgroup	text	'[3]'
two_selmer_rank	smallint	0
two_torsion_field	jsonb	['5.1.676660.1', [-4, 1, -2, -4, 0, 1], [5, 5], False]

{'Lhash': '1997748879806368035', 'abs_disc': 76832, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[2,1]', 'aut_grp_label': '2.1', 'aut_grp_tex': 'C_2', 'bad_lfactors': '[[2,[1,1]],[7,[1,-2,1]]]', 'bad_primes': [2, 7], 'class': '784.b', 'cond': 784, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[-9,10,0,-2,-4,4,-1],[1,1]]', 'g2_inv': "['7923516800000/2401','27710360000/2401','2238200/49']", 'geom_aut_grp_id': '[2,1]', 'geom_aut_grp_label': '2.1', 'geom_aut_grp_tex': 'C_2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 0, 'has_square_sha': True, 'hasse_weil_proved': True, 'id': 97, 'igusa_clebsch_inv': "['1520','132280','50979316','307328']", 'igusa_inv': "['760','2020','6076','134340','76832']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '784.b.76832.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3130583414865297840112428792079003392808388504750968261', 'prec': 183}, 'locally_solvable': False, 'modell_images': ['2.45.1', '3.2160.20'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [0, 2], 'num_rat_pts': 0, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '3.7567000978383574081349145505', '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': 3, 'torsion_order': 6, 'torsion_subgroup': '[6]', 'two_selmer_rank': 1, 'two_torsion_field': ['8.0.3211264.1', [1, -4, 8, -8, 7, -8, 8, -4, 1], [8, 9], False]}