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	'1375531499130753425'
abs_disc	bigint	125696
analytic_rank	smallint	1
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]],[491,[1,-35,455,491]]]'
bad_primes	integer[]	[2, 491]
class	text	'125696.c'
cond	bigint	125696
disc_sign	smallint	-1
end_alg	text	'Q'
eqn	text	'[[6,1,-7,-1,3,1],[]]'
g2_inv	text	"['-1016779607804/491','-77782343973/982','-6560633597/1964']"
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	"['382','748','103534','-491']"
igusa_inv	text	"['764','22326','719348','12782899','-125696']"
is_gl2_type	boolean	False
is_simple_base	boolean	True
is_simple_geom	boolean	True
label	text	'125696.c.125696.1'
leading_coeff	numeric	2.3518577569236054291911255636937726693046024852718
locally_solvable	boolean	True
modell_images	text[]	['2.30.3']
mw_rank	smallint	1
mw_rank_proved	boolean	True
non_maximal_primes	integer[]	[2]
non_solvable_places	jsonb	[]
num_rat_pts	smallint	4
num_rat_wpts	smallint	2
real_geom_end_alg	text	'R'
real_period	numeric	12.982063337865092735412792048
regulator	numeric	0.724648369282
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	2
two_torsion_field	jsonb	['4.2.491.1', [-1, 3, -1, -1, 1], [4, 5], False]

{'Lhash': '1803984185390222566', 'abs_disc': 603, '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': '[[3,[1,0,1]],[67,[1,-7,59,67]]]', 'bad_primes': [3, 67], 'class': '603.a', 'cond': 603, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,2,4,4,8,1],[1,0,1]]', 'g2_inv': "['408348897330176/603','9649919856896/603','-883069772816/603']", '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': 55, 'igusa_clebsch_inv': "['1672','75628','49887881','2412']", 'igusa_inv': "['836','16516','-1263521','-332270453','603']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '603.a.603.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2691001556363177690790850827729359332811643126537782509', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.30.3'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 5], 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '26.910015563631776907908508277', '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': 10, 'torsion_subgroup': '[10]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.2.2412.1', [-2, 1, -1, -1, 1], [4, 5], False]}