Table g2c_curves
Genus 2 curves over Q
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| Column |
Type |
Example |
| Lhash |
text |
'482090925725443074' |
| abs_disc |
bigint |
117394 |
| 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,[1,1,2,2]],[79,[1,4,74,-79]],[743,[1,6,748,743]]]' |
| bad_primes |
integer[] |
[2, 79, 743] |
| class |
text |
'117394.a' |
| cond |
bigint |
117394 |
| disc_sign |
smallint |
-1 |
| end_alg |
text |
'Q' |
| eqn |
text |
'[[2,-3,3,0,-1],[0,0,1,1]]' |
| g2_inv |
text |
"['990677827584/58697','-5159780352/58697','21855744/58697']" |
| 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 |
"['576','23328','3292281','469576']" |
| igusa_inv |
text |
"['288','-432','527','-8712','117394']" |
| is_gl2_type |
boolean |
False |
| is_simple_base |
boolean |
True |
| is_simple_geom |
boolean |
True |
| label |
text |
'117394.a.117394.1' |
| leading_coeff |
numeric |
1.8755975588273997264409543251147379850037831847221 |
| 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 |
2 |
| num_rat_wpts |
smallint |
0 |
| real_geom_end_alg |
text |
'R' |
| real_period |
numeric |
12.628227956594608316422021900 |
| regulator |
numeric |
0.148524208248 |
| 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 |
['6.0.1878304.1', [4, 1, -1, 0, 4, -1, 1], [6, 16], False] |
{'Lhash': '1804802565588895238', 'abs_disc': 529, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[2,1]', 'aut_grp_label': '2.1', 'aut_grp_tex': 'C_2', 'bad_lfactors': '[[23,[1,-2,1]]]', 'bad_primes': [23], 'class': '529.a', 'cond': 529, 'disc_sign': 1, 'end_alg': 'RM', 'eqn': '[[0,0,0,0,0,-1],[1,1,0,1]]', 'g2_inv': "['-1804229351/529','-39370210/529','3145584/529']", 'geom_aut_grp_id': '[2,1]', 'geom_aut_grp_label': '2.1', 'geom_aut_grp_tex': 'C_2', 'geom_end_alg': 'RM', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'id': 42, 'igusa_clebsch_inv': "['284','2401','246639','-67712']", 'igusa_inv': "['71','110','-624','-14101','-529']", 'is_gl2_type': True, 'is_simple_base': True, 'is_simple_geom': True, 'label': '529.a.529.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2484318665905996812072503393142383906699109867831601343', 'prec': 183}, 'locally_solvable': True, 'modell_images': ['2.120.2', '3.432.4'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '30.060255857462561426077291057', 'prec': 97}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'root_number': 1, 'sha_proved': True, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 1, 'torsion_order': 11, 'torsion_subgroup': '[11]', 'two_selmer_rank': 0, 'two_torsion_field': ['3.1.23.1', [1, 0, -1, 1], [3, 2], False]}
