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	'941912814273513166'
abs_disc	bigint	346301
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	'[[31,[1,7,23,-31]],[11171,[1,-111,11281,-11171]]]'
bad_primes	integer[]	[31, 11171]
class	text	'346301.a'
cond	bigint	346301
disc_sign	smallint	1
end_alg	text	'Q'
eqn	text	'[[0,0,0,-5,8,-5,1],[1,1]]'
g2_inv	text	"['-4182119424/346301','-672126336/346301','670320/11171']"
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	"['168','-5040','-137547','-1385204']"
igusa_inv	text	"['84','1134','-2945','-383334','-346301']"
is_gl2_type	boolean	False
is_simple_base	boolean	True
is_simple_geom	boolean	True
label	text	'346301.a.346301.1'
leading_coeff	numeric	1.87570445143972217636745995570888242212387677779
locally_solvable	boolean	True
modell_images	text[]	['2.6.1']
mw_rank	smallint	2
mw_rank_proved	boolean	True
non_maximal_primes	integer[]	[2]
non_solvable_places	jsonb	[]
num_rat_pts	smallint	7
num_rat_wpts	smallint	1
real_geom_end_alg	text	'R'
real_period	numeric	12.627269239699220952431503015
regulator	numeric	0.148543950068
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	['5.1.5540816.1', [-38, 53, -20, 2, -2, 1], [5, 5], False]

{'Lhash': '1498105201372840368', 'abs_disc': 81920, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[4,2]', 'aut_grp_label': '4.2', 'aut_grp_tex': 'C_2^2', 'bad_lfactors': '[[2,[1]],[5,[1,3,7,5]]]', 'bad_primes': [2, 5], 'class': '640.a', 'cond': 640, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[-20,0,13,0,-3],[0,0,0,1]]', 'g2_inv': "['39432490647552/5','1638374321664/5','18102076416']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'CM x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'id': 61, 'igusa_clebsch_inv': "['912','147','44562','10']", 'igusa_inv': "['3648','552928','111431680','25193348864','81920']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '640.a.81920.2', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3085697573803655261763671842156709800019289977310453238', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.90.3', '3.2160.5'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'C x R', 'real_period': {'__RealLiteral__': 0, 'data': '7.4056741771287726282328124212', 'prec': 97}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'root_number': 1, 'st_group': 'N(U(1)xSU(2))', 'st_label': '1.4.C.2.1a', 'st_label_components': [1, 4, 2, 2, 1, 0], 'tamagawa_product': 6, 'torsion_order': 12, 'torsion_subgroup': '[12]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.320.1', [2, 0, 0, -2, 1], [4, 3], False]}