Database - g2c_curves

Formats: - HTML - YAML - JSON - 2026-10-15T23:12:01.770806

Query: /api/g2c_curves/?_offset=0

Table g2c_curves

Genus 2 curves over Q

Column	Type	Example
Lhash	text	'113766841525380119'
abs_disc	bigint	17689
analytic_rank	smallint	0
analytic_rank_proved	boolean	True
analytic_sha	smallint	1
aut_grp_id	text	'[6,2]'
aut_grp_label	text	'6.2'
aut_grp_tex	text	'C_6'
bad_lfactors	text	'[[7,[1,4,7]],[19,[1,-8,19]]]'
bad_primes	integer[]	[7, 19]
class	text	'17689.a'
cond	bigint	17689
disc_sign	smallint	1
end_alg	text	'CM'
eqn	text	'[[0,-1,1,2,-4,1],[0,1,1]]'
g2_inv	text	"['64097340625/17689','1234693125/17689','-8304875/17689']"
geom_aut_grp_id	text	'[12,4]'
geom_aut_grp_label	text	'12.4'
geom_aut_grp_tex	text	'D_6'
geom_end_alg	text	'M_2(Q)'
globally_solvable	smallint	1
has_square_sha	boolean	True
hasse_weil_proved	boolean	True
igusa_clebsch_inv	text	"['580','11305','1902565','2264192']"
igusa_inv	text	"['145','405','-395','-55325','17689']"
is_gl2_type	boolean	True
is_simple_base	boolean	True
is_simple_geom	boolean	False
label	text	'17689.a.17689.1'
leading_coeff	numeric	0.9895883689861291263015538949573207997518283378442027818
locally_solvable	boolean	True
modell_images	text[]	['2.240.1', '3.480.12']
mw_rank	smallint	0
mw_rank_proved	boolean	True
non_maximal_primes	integer[]
non_solvable_places	jsonb	[]
num_rat_pts	smallint	3
num_rat_wpts	smallint	3
real_geom_end_alg	text	'M_2(R)'
real_period	numeric	15.833413903778066020824862319
regulator	numeric	1.0
root_number	smallint	1
sha_proved	boolean
st_group	text	'E_6'
st_label	text	'1.4.E.6.2a'
st_label_components	integer[]	[1, 4, 4, 6, 2, 0]
tamagawa_product	smallint	1
torsion_order	smallint	4
torsion_subgroup	text	'[2,2]'
two_selmer_rank	smallint	2
two_torsion_field	jsonb	['3.3.17689.2', [64, -44, -1, 1], [3, 1], True]

{'Lhash': '701482280995662430', 'abs_disc': 576, '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]],[3,[1,0,1]]]', 'bad_primes': [2, 3], 'class': '576.a', 'cond': 576, 'disc_sign': -1, 'end_alg': 'CM', 'eqn': '[[0,-1,0,-1],[1,1,1,1]]', 'g2_inv': "['22717712/9','540430/9','-289']", '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': 45, 'igusa_clebsch_inv': "['68','124','2616','72']", 'igusa_inv': "['68','110','-36','-3637','576']", 'is_gl2_type': True, 'is_simple_base': True, 'is_simple_geom': False, 'label': '576.a.576.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2239625216818580607766497752259954573181069031786758971', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.180.4', '3.1080.16'], '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': '22.396252168185806077664977523', 'prec': 97}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'root_number': 1, 'st_group': 'E_2', 'st_label': '1.4.E.2.1a', 'st_label_components': [1, 4, 4, 2, 1, 0], 'tamagawa_product': 1, 'torsion_order': 10, 'torsion_subgroup': '[10]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.144.1', [1, 0, -1, 0, 1], [4, 2], True]}