Database - g2c_curves

Formats: - HTML - YAML - JSON - 2026-10-15T23:13:25.251675

Query: /api/g2c_curves/?_offset=0

Table g2c_curves

Genus 2 curves over Q

Column	Type	Example
Lhash	text	'1503981399709177714'
abs_disc	bigint	524806
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,[1,1,0,-2]],[53,[1,-3,55,-53]],[4951,[1,8,4958,4951]]]'
bad_primes	integer[]	[2, 53, 4951]
class	text	'524806.a'
cond	bigint	524806
disc_sign	smallint	-1
end_alg	text	'Q'
eqn	text	'[[-1,-1,4,2,-7,-1,4],[0,1]]'
g2_inv	text	"['-121500000000000000/262403','-5127921000000000/262403','-291933256500000/262403']"
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	"['6000','-29076','-57711513','-2099224']"
igusa_inv	text	"['3000','379846','64874057','12584796821','-524806']"
is_gl2_type	boolean	False
is_simple_base	boolean	True
is_simple_geom	boolean	True
label	text	'524806.a.524806.1'
leading_coeff	numeric	2.55436042048490826758155561581427780463952291081
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	8.8867271604841588476250629968
regulator	numeric	0.287435450009
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	2
two_torsion_field	jsonb	['6.4.8396896.1', [4, 5, -3, 0, -2, -1, 1], [6, 16], False]

{'Lhash': '25792812462041176', 'abs_disc': 409600, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[8,3]', 'aut_grp_label': '8.3', 'aut_grp_tex': 'D_4', 'bad_lfactors': '[[2,[1]],[5,[1,2,1]]]', 'bad_primes': [2, 5], 'class': '400.a', 'cond': 400, 'disc_sign': -1, 'end_alg': 'M_2(Q)', 'eqn': '[[1,0,4,0,4,0,1],[]]', 'g2_inv': "['58632501248/25','2327987904/25','4674304']", 'geom_aut_grp_id': '[8,3]', 'geom_aut_grp_label': '8.3', 'geom_aut_grp_tex': 'D_4', 'geom_end_alg': 'M_2(Q)', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'id': 24, 'igusa_clebsch_inv': "['248','181','14873','50']", 'igusa_inv': "['992','39072','1945600','100853504','409600']", 'is_gl2_type': False, 'is_simple_base': False, 'is_simple_geom': False, 'label': '400.a.409600.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.221585970625460117422890193054109675226210830212863684', 'prec': 180}, 'locally_solvable': True, 'modell_images': ['2.180.4', '3.17280.4'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 0, 'real_geom_end_alg': 'M_2(R)', 'real_period': {'__RealLiteral__': 0, 'data': '7.9770949425165642272240469499', 'prec': 97}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'root_number': 1, 'st_group': 'E_1', 'st_label': '1.4.E.1.1a', 'st_label_components': [1, 4, 4, 1, 1, 0], 'tamagawa_product': 9, 'torsion_order': 18, 'torsion_subgroup': '[3,6]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.400.1', [1, 0, 3, 0, 1], [4, 2], True]}