Database - g2c_curves

Formats: - HTML - YAML - JSON - 2026-10-15T23:12:47.907513

Query: /api/g2c_curves/?_offset=0

Table g2c_curves

Genus 2 curves over Q

Column	Type	Example
Lhash	text	'294147361622395852'
abs_disc	bigint	435888
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]],[3,[1,-1]],[1009,[1,15,1023,1009]]]'
bad_primes	integer[]	[2, 3, 1009]
class	text	'217944.b'
cond	bigint	217944
disc_sign	smallint	-1
end_alg	text	'Q'
eqn	text	'[[0,-1,1,9,8,2],[0,1]]'
g2_inv	text	"['-66733171776/1009','-2234694504/1009','-37197168/1009']"
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	"['984','11880','4319100','-1743552']"
igusa_inv	text	"['492','8106','66384','-8261577','-435888']"
is_gl2_type	boolean	False
is_simple_base	boolean	True
is_simple_geom	boolean	True
label	text	'217944.b.435888.1'
leading_coeff	numeric	3.245980532059236455038806177659773311141263480789001769
locally_solvable	boolean	True
modell_images	text[]	['2.30.3']
mw_rank	smallint	0
mw_rank_proved	boolean	True
non_maximal_primes	integer[]	[2]
non_solvable_places	jsonb	[]
num_rat_pts	smallint	2
num_rat_wpts	smallint	2
real_geom_end_alg	text	'R'
real_period	numeric	6.4919610641184729100776123553
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	2
torsion_subgroup	text	'[2]'
two_selmer_rank	smallint	1
two_torsion_field	jsonb	['4.2.27243.1', [6, -3, -6, 0, 1], [4, 5], False]

{'Lhash': '567926432027860049', 'abs_disc': 614656, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[6,2]', 'aut_grp_label': '6.2', 'aut_grp_tex': 'C_6', 'bad_lfactors': '[[2,[1]],[7,[1,4,7]]]', 'bad_primes': [2, 7], 'class': '784.c', 'cond': 784, 'disc_sign': 1, 'end_alg': 'CM', 'eqn': '[[0,-1,-9,-13,-4,1],[]]', 'g2_inv': "['1248318403996/2401','9291226221/4802','-23245787/9604']", 'geom_aut_grp_id': '[12,4]', 'geom_aut_grp_label': '12.4', 'geom_aut_grp_tex': 'D_6', 'geom_end_alg': 'M_2(Q)', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'id': 98, 'igusa_clebsch_inv': "['398','9016','912086','2401']", 'igusa_inv': "['796','2358','-2348','-1857293','614656']", 'is_gl2_type': True, 'is_simple_base': True, 'is_simple_geom': False, 'label': '784.c.614656.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3582178305688400308992259460321820582993327584490888593', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.240.1', '3.5760.7'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 3, 'num_rat_wpts': 3, 'real_geom_end_alg': 'M_2(R)', 'real_period': {'__RealLiteral__': 0, 'data': '5.7314852891014404943876151365', 'prec': 97}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'root_number': 1, 'st_group': 'E_3', 'st_label': '1.4.E.3.1a', 'st_label_components': [1, 4, 4, 3, 1, 0], 'tamagawa_product': 9, 'torsion_order': 4, 'torsion_subgroup': '[2,2]', 'two_selmer_rank': 2, 'two_torsion_field': ['3.3.49.1', [1, -2, -1, 1], [3, 1], True]}