Database - g2c_curves

Formats: - HTML - YAML - JSON - 2026-10-15T23:11:52.571955

Query: /api/g2c_curves/?_offset=0

Table g2c_curves

Genus 2 curves over Q

Column	Type	Example
Lhash	text	'1503229151163704679'
abs_disc	bigint	379520
analytic_rank	smallint	1
analytic_rank_proved	boolean	False
analytic_sha	smallint	2
aut_grp_id	text	'[2,1]'
aut_grp_label	text	'2.1'
aut_grp_tex	text	'C_2'
bad_lfactors	text	'[[2,[1,1]],[5,[1,1,3,-5]],[593,[1,-43,635,-593]]]'
bad_primes	integer[]	[2, 5, 593]
class	text	'189760.a'
cond	bigint	189760
disc_sign	smallint	1
end_alg	text	'Q'
eqn	text	'[[21,2,-25,-1,9,0,-1],[1,1]]'
g2_inv	text	"['2449432589045535000/593','101941062903305550/593','5650340683381290/593']"
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	0
has_square_sha	boolean	False
hasse_weil_proved	boolean	False
igusa_clebsch_inv	text	"['17340','21843','125943102','47440']"
igusa_inv	text	"['17340','12513588','12026975376','12989467096524','379520']"
is_gl2_type	boolean	False
is_simple_base	boolean	True
is_simple_geom	boolean	True
label	text	'189760.a.379520.1'
leading_coeff	numeric	2.2644058037201541726999797431148286427781021254185
locally_solvable	boolean	False
modell_images	text[]	['2.45.1']
mw_rank	smallint	1
mw_rank_proved	boolean	True
non_maximal_primes	integer[]	[2]
non_solvable_places	jsonb	[2]
num_rat_pts	smallint	0
num_rat_wpts	smallint	0
real_geom_end_alg	text	'R'
real_period	numeric	12.590844883299108602035494089
regulator	numeric	0.359690842784
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	2
torsion_subgroup	text	'[2]'
two_selmer_rank	smallint	3
two_torsion_field	jsonb	['8.8.900221440000.1', [529, 0, -730, 0, 271, 0, -30, 0, 1], [8, 9], False]

{'Lhash': '2023392088972236524', 'abs_disc': 512, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[4,1]', 'aut_grp_label': '4.1', 'aut_grp_tex': 'C_4', 'bad_lfactors': '[[2,[1,2,2]]]', 'bad_primes': [2], 'class': '256.a', 'cond': 256, 'disc_sign': -1, 'end_alg': 'CM', 'eqn': '[[0,-1,1,1,-3,2],[1]]', 'g2_inv': "['742586','129623/4','-1521/8']", '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': 5, 'igusa_clebsch_inv': "['26','-2','40','2']", 'igusa_inv': "['52','118','-36','-3949','512']", 'is_gl2_type': True, 'is_simple_base': True, 'is_simple_geom': False, 'label': '256.a.512.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1342091471846320562122093249902145220212570013682479272', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.180.3', '3.540.6'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 2, 'real_geom_end_alg': 'M_2(R)', 'real_period': {'__RealLiteral__': 0, 'data': '26.841829436926411242441864998', 'prec': 97}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'root_number': 1, 'st_group': 'E_4', 'st_label': '1.4.E.4.1a', 'st_label_components': [1, 4, 4, 4, 1, 0], 'tamagawa_product': 2, 'torsion_order': 20, 'torsion_subgroup': '[2,10]', 'two_selmer_rank': 2, 'two_torsion_field': ['4.0.256.1', [1, 0, 0, 0, 1], [4, 2], True]}