Table g2c_curves
Genus 2 curves over Q
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| Column |
Type |
Example |
| Lhash |
text |
'56675350483808907' |
| abs_disc |
bigint |
683403 |
| analytic_rank |
smallint |
3 |
| 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 |
'[[3,[1,3,5,3]],[7,[1,3,7]],[4649,[1,70,4718,4649]]]' |
| bad_primes |
integer[] |
[3, 7, 4649] |
| class |
text |
'683403.a' |
| cond |
bigint |
683403 |
| disc_sign |
smallint |
-1 |
| end_alg |
text |
'Q' |
| eqn |
text |
'[[6,-3,-4,-1,1,1],[0,0,0,1]]' |
| g2_inv |
text |
"['370739843200000/683403','10095548080000/683403','-841844800/227801']" |
| 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 |
"['1640','58240','31419304','2733612']" |
| igusa_inv |
text |
"['820','18310','-3756','-84584005','683403']" |
| is_gl2_type |
boolean |
False |
| is_simple_base |
boolean |
True |
| is_simple_geom |
boolean |
True |
| label |
text |
'683403.a.683403.1' |
| leading_coeff |
numeric |
1.828573119065301710466425438574648890318405 |
| locally_solvable |
boolean |
True |
| modell_images |
text[] |
[] |
| mw_rank |
smallint |
3 |
| mw_rank_proved |
boolean |
True |
| non_maximal_primes |
integer[] |
[] |
| non_solvable_places |
jsonb |
[] |
| num_rat_pts |
smallint |
12 |
| num_rat_wpts |
smallint |
0 |
| real_geom_end_alg |
text |
'R' |
| real_period |
numeric |
14.434122234721916014810657316 |
| regulator |
numeric |
0.126684053892 |
| 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 |
3 |
| two_torsion_field |
jsonb |
['6.0.10934448.1', [4, -6, 4, -2, 4, 0, 1], [6, 16], False] |
{'Lhash': '2159575534599616393', 'abs_disc': 45056, '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,[1,0,2]],[11,[1,-1,11,-11]]]', 'bad_primes': [2, 11], 'class': '704.a', 'cond': 704, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,0,-2,-1,4,4],[1]]', 'g2_inv': "['-1350125107/44','-636113745/352','-68955529/704']", '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': 74, 'igusa_clebsch_inv': "['134','-464','-15328','-176']", 'igusa_inv': "['268','4230','61444','-356477','-45056']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '704.a.45056.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3326674195609285711359687355514826426061568855574252176', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.120.3', '3.80.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3], 'non_solvable_places': [], 'num_rat_pts': 5, 'num_rat_wpts': 3, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '11.976027104193428560894874480', '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': 4, 'torsion_order': 12, 'torsion_subgroup': '[2,6]', 'two_selmer_rank': 2, 'two_torsion_field': ['3.1.44.1', [1, 1, -1, 1], [3, 2], False]}
