Database - g2c_curves

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Query: /api/g2c_curves/?_offset=0

Table g2c_curves

Genus 2 curves over Q

Column	Type	Example
Lhash	text	'2202556621871864401'
abs_disc	bigint	669952
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]],[2617,[1,43,2573,-2617]]]'
bad_primes	integer[]	[2, 2617]
class	text	'669952.i'
cond	bigint	669952
disc_sign	smallint	1
end_alg	text	'Q'
eqn	text	'[[-1,-1,1,-2,-3,1],[]]'
g2_inv	text	"['4194304/2617','-4489216/2617','3584000/2617']"
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	"['32','1708','-20028','2617']"
igusa_inv	text	"['64','-4384','224000','-1220864','669952']"
is_gl2_type	boolean	False
is_simple_base	boolean	True
is_simple_geom	boolean	True
label	text	'669952.i.669952.1'
leading_coeff	numeric	2.090592792390592815771931342755181875331047201210355956
locally_solvable	boolean	True
modell_images	text[]	['2.6.1']
mw_rank	smallint	0
mw_rank_proved	boolean	True
non_maximal_primes	integer[]	[2]
non_solvable_places	jsonb	[]
num_rat_pts	smallint	1
num_rat_wpts	smallint	1
real_geom_end_alg	text	'R'
real_period	numeric	2.0905927923905928157719313428
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	1
torsion_order	smallint	1
torsion_subgroup	text	'[]'
two_selmer_rank	smallint	0
two_torsion_field	jsonb	['5.1.2617.1', [-1, 0, -2, 1, 0, 1], [5, 5], False]

{'Lhash': '2268199784340011667', 'abs_disc': 325120, 'analytic_rank': 0, 'analytic_rank_proved': False, 'analytic_sha': 1, 'aut_grp_id': '[2,1]', 'aut_grp_label': '2.1', 'aut_grp_tex': 'C_2', 'bad_lfactors': '[[2,[1,0,1,2]],[5,[1,2,2,-5]],[127,[1,-21,147,-127]]]', 'bad_primes': [2, 5, 127], 'class': '1270.a', 'cond': 1270, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[3,-32,14,76,17,1],[0,1,1]]', 'g2_inv': "['764790054928595680699001/325120','15368348330455841308623/162560','97860226229056869361/20320']", 'geom_aut_grp_id': '[2,1]', 'geom_aut_grp_label': '2.1', 'geom_aut_grp_tex': 'C_2', 'geom_end_alg': 'Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': False, 'id': 241, 'igusa_clebsch_inv': "['239204','126763297','10436094933809','41615360']", 'igusa_inv': "['59801','143724846','437833820176','1381517230655315','325120']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '1270.a.325120.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.4736509421369822779710318478398234651284049699476694597', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.60.1', '3.80.2'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3], 'non_solvable_places': [], 'num_rat_pts': 1, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '1.8946037685479291118841273914', 'prec': 97}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'root_number': 1, 'st_group': 'USp(4)', 'st_label': '1.4.A.1.1a', 'st_label_components': [1, 4, 0, 1, 1, 0], 'tamagawa_product': 1, 'torsion_order': 2, 'torsion_subgroup': '[2]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.6.129032000.1', [-31, -15, 42, 11, -16, -1, 1], [6, 3], False]}