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	'960273748189585529'
abs_disc	bigint	156976
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,[1,1]],[9811,[1,-60,9750,9811]]]'
bad_primes	integer[]	[2, 9811]
class	text	'156976.a'
cond	bigint	156976
disc_sign	smallint	-1
end_alg	text	'Q'
eqn	text	'[[2,-6,3,1,2],[0,0,1,1]]'
g2_inv	text	"['9357514870464/9811','-15840668448/9811','-248080644/9811']"
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	"['1368','121716','41432364','627904']"
igusa_inv	text	"['684','-792','-8484','-1607580','156976']"
is_gl2_type	boolean	False
is_simple_base	boolean	True
is_simple_geom	boolean	True
label	text	'156976.a.156976.1'
leading_coeff	numeric	2.3415154600128308548972614081177646172545426817329
locally_solvable	boolean	True
modell_images	text[]	[]
mw_rank	smallint	1
mw_rank_proved	boolean	True
non_maximal_primes	integer[]	[]
non_solvable_places	jsonb	[]
num_rat_pts	smallint	4
num_rat_wpts	smallint	0
real_geom_end_alg	text	'R'
real_period	numeric	11.318234012143862442849930717
regulator	numeric	0.206879929987
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	1
two_torsion_field	jsonb	['6.0.627904.1', [2, -2, 0, 0, 3, -1, 1], [6, 16], False]

{'Lhash': '1886010138829170898', 'abs_disc': 944, '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,[1,1,2]],[59,[1,-11,47,59]]]', 'bad_primes': [2, 59], 'class': '472.a', 'cond': 472, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,1,0,-2,-1,1],[1,0,1]]', 'g2_inv': "['-3361400000/59','-118335000/59','-5566400/59']", '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': 35, 'igusa_clebsch_inv': "['280','760','60604','-3776']", 'igusa_inv': "['140','690','4544','40015','-944']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '472.a.944.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2274474476920005292300657692297720450965366729119791884', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.120.3'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2], 'non_solvable_places': [], 'num_rat_pts': 5, 'num_rat_wpts': 3, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '29.113273304576067741448418461', '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': 2, 'torsion_order': 16, 'torsion_subgroup': '[2,8]', 'two_selmer_rank': 2, 'two_torsion_field': ['3.1.59.1', [-1, 2, 0, 1], [3, 2], False]}