Formats: - HTML - YAML - JSON - 2026-01-29T12:08:11.317850 - next page
Query: /api/g2c_curves/?_offset=0
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  1. label: 169.a.169.1
    {'Lhash': '1456780685049277288', 'abs_disc': 169, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[6,2]', 'aut_grp_label': '6.2', 'aut_grp_tex': 'C_6', 'bad_lfactors': '[[13,[1,5,13]]]', 'bad_primes': [13], 'class': '169.a', 'cond': 169, 'disc_sign': -1, 'end_alg': 'CM', 'eqn': '[[0,0,0,0,1,1],[1,1,0,1]]', 'g2_inv': "['-1/169','33/169','43/169']", 'geom_aut_grp_id': '[12,4]', 'geom_aut_grp_label': '12.4', 'geom_aut_grp_tex': 'D_6', 'geom_end_alg': 'M_2(Q)', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['4','793','3757','-21632']", 'igusa_inv': "['1','-33','-43','-283','-169']", 'is_gl2_type': True, 'is_simple_base': True, 'is_simple_geom': False, 'label': '169.a.169.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.0904903908324296291135897572580154122647328643874476536', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.40.3', '3.480.12'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 0, 'real_geom_end_alg': 'M_2(R)', 'real_period': {'__RealLiteral__': 0, 'data': '32.667031090507096110005902370', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'E_6', 'st_label': '1.4.E.6.2a', 'st_label_components': [1, 4, 4, 6, 2, 0], 'tamagawa_product': 1, 'torsion_order': 19, 'torsion_subgroup': '[19]', 'two_selmer_rank': 0, 'two_torsion_field': ['6.0.10816.1', [1, 2, 0, -2, -1, 0, 1], [6, 5], False]}
  2. label: 196.a.21952.1
    {'Lhash': '613994882430202077', 'abs_disc': 21952, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[12,4]', 'aut_grp_label': '12.4', 'aut_grp_tex': 'D_6', 'bad_lfactors': '[[2,[1,2,1]],[7,[1,-2,1]]]', 'bad_primes': [2, 7], 'class': '196.a', 'cond': 196, 'disc_sign': -1, 'end_alg': 'M_2(Q)', 'eqn': '[[1,3,6,7,6,3,1],[0,1,1]]', 'g2_inv': "['4219140959375/21952','6203236875/784','12905875/28']", 'geom_aut_grp_id': '[12,4]', 'geom_aut_grp_label': '12.4', 'geom_aut_grp_tex': 'D_6', 'geom_end_alg': 'M_2(Q)', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['1340','1345','149855','2809856']", 'igusa_inv': "['335','4620','90160','2214800','21952']", 'is_gl2_type': False, 'is_simple_base': False, 'is_simple_geom': False, 'label': '196.a.21952.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.109047665190859529223076770287488695296415160221137294', 'prec': 187}, 'locally_solvable': True, 'modell_images': ['2.360.3', '3.17280.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 0, 'real_geom_end_alg': 'M_2(R)', 'real_period': {'__RealLiteral__': 0, 'data': '11.777147840612829156092291191', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'E_1', 'st_label': '1.4.E.1.1a', 'st_label_components': [1, 4, 4, 1, 1, 0], 'tamagawa_product': 12, 'torsion_order': 36, 'torsion_subgroup': '[6,6]', 'two_selmer_rank': 2, 'two_torsion_field': ['2.0.7.1', [2, -1, 1], [2, 1], True]}
  3. label: 249.a.249.1
    {'Lhash': '1229180703233001291', 'abs_disc': 249, '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,[1,2,0,-3]],[83,[1,-1,83,-83]]]', 'bad_primes': [3, 83], 'class': '249.a', 'cond': 249, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,1,1],[1,0,0,1]]', 'g2_inv': "['-4782969/83','-183708/83','-7776/83']", '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, 'igusa_clebsch_inv': "['108','57','2259','-31872']", 'igusa_inv': "['27','28','32','20','-249']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '249.a.249.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1315495070114787592134013430121752606933130670903651314', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.60.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 7], 'non_solvable_places': [], 'num_rat_pts': 5, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '25.783703374249836805826663230', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 14, 'torsion_subgroup': '[14]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.0.186003.1', [4, -2, -1, 3, 0, -1, 1], [6, 3], False]}
  4. label: 249.a.6723.1
    {'Lhash': '1229180703233001291', 'abs_disc': 6723, '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,[1,2,0,-3]],[83,[1,-1,83,-83]]]', 'bad_primes': [3, 83], 'class': '249.a', 'cond': 249, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[2,3,1,1,0,-1],[1,0,0,1]]', 'g2_inv': "['324526850403/83','25281736298/249','-4178776252/747']", '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, 'igusa_clebsch_inv': "['1932','87897','65765571','860544']", 'igusa_inv': "['483','6058','-161212','-28641190','6723']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '249.a.6723.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1315495070114787592134013430121752606933130670903651314', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.30.3'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 7], 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '25.783703374249836805826663230', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 28, 'torsion_subgroup': '[28]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.2.1328.1', [1, -2, -3, 0, 1], [4, 5], False]}
  5. label: 256.a.512.1
    {'Lhash': '2023392088972236524', 'abs_disc': 512, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[4,1]', 'aut_grp_label': '4.1', 'aut_grp_tex': 'C_4', 'bad_lfactors': '[[2,[1,2,2]]]', 'bad_primes': [2], 'class': '256.a', 'cond': 256, 'disc_sign': -1, 'end_alg': 'CM', 'eqn': '[[0,-1,1,1,-3,2],[1]]', 'g2_inv': "['742586','129623/4','-1521/8']", 'geom_aut_grp_id': '[8,3]', 'geom_aut_grp_label': '8.3', 'geom_aut_grp_tex': 'D_4', 'geom_end_alg': 'M_2(Q)', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['26','-2','40','2']", 'igusa_inv': "['52','118','-36','-3949','512']", 'is_gl2_type': True, 'is_simple_base': True, 'is_simple_geom': False, 'label': '256.a.512.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1342091471846320562122093249902145220212570013682479272', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.180.3', '3.540.6'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 2, 'real_geom_end_alg': 'M_2(R)', 'real_period': {'__RealLiteral__': 0, 'data': '26.841829436926411242441864998', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'E_4', 'st_label': '1.4.E.4.1a', 'st_label_components': [1, 4, 4, 4, 1, 0], 'tamagawa_product': 2, 'torsion_order': 20, 'torsion_subgroup': '[2,10]', 'two_selmer_rank': 2, 'two_torsion_field': ['4.0.256.1', [1, 0, 0, 0, 1], [4, 2], True]}
  6. label: 277.a.277.1
    {'Lhash': '639653774064676620', 'abs_disc': 277, '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': '[[277,[1,-7,269,277]]]', 'bad_primes': [277], 'class': '277.a', 'cond': 277, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,-1,-1],[1,1,1,1]]', 'g2_inv': "['-33554432/277','524288/277','475136/277']", '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': True, 'igusa_clebsch_inv': "['64','352','9552','-1108']", 'igusa_inv': "['32','-16','-464','-3776','-277']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '277.a.277.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1431366605510114901557152099923829602231949697145570071', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.6.1', '3.80.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3, 5], 'non_solvable_places': [], 'num_rat_pts': 5, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '32.205748623977585285035922248', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 15, 'torsion_subgroup': '[15]', 'two_selmer_rank': 0, 'two_torsion_field': ['5.1.4432.1', [1, -1, 2, 0, -1, 1], [5, 5], False]}
  7. label: 277.a.277.2
    {'Lhash': '639653774064676620', 'abs_disc': 277, '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': '[[277,[1,-7,269,277]]]', 'bad_primes': [277], 'class': '277.a', 'cond': 277, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[-6,11,-19,14,-9,1],[1]]', 'g2_inv': "['-56394933862400000/277','217505333248000/277','-824813158400/277']", '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, 'igusa_clebsch_inv': "['4480','1370512','1511819744','-1108']", 'igusa_inv': "['2240','-19352','164384','-1569936','-277']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '277.a.277.2', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1431366605510114901557152099923829602231949697145570071', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.6.1', '3.80.2'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3, 5], 'non_solvable_places': [], 'num_rat_pts': 1, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '3.5784165137752872538928802498', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 5, 'torsion_subgroup': '[5]', 'two_selmer_rank': 0, 'two_torsion_field': ['5.1.4432.1', [1, -1, 2, 0, -1, 1], [5, 5], False]}
  8. label: 294.a.294.1
    {'Lhash': '315995603033814010', 'abs_disc': 294, '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,[1,2,3,2]],[3,[1,1,1,-3]],[7,[1,0,-1]]]', 'bad_primes': [2, 3, 7], 'class': '294.a', 'cond': 294, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[0,0,1,0,1],[1,0,0,1]]', 'g2_inv': "['714924299/294','12733498/147','327214/49']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['236','505','18451','37632']", 'igusa_inv': "['59','124','564','4475','294']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '294.a.294.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1489689799540566411026646628887640297214854916698568385', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.45.1', '3.720.4'], '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': '21.451533113384156318783711456', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, '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': 12, 'torsion_subgroup': '[12]', 'two_selmer_rank': 1, 'two_torsion_field': ['8.0.12446784.1', [1, 1, 1, 2, 0, -2, 1, -1, 1], [8, 9], False]}
  9. label: 294.a.8232.1
    {'Lhash': '315995603033814010', 'abs_disc': 8232, '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,[1,2,3,2]],[3,[1,1,1,-3]],[7,[1,0,-1]]]', 'bad_primes': [2, 3, 7], 'class': '294.a', 'cond': 294, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[-14,-9,4,0,-2],[1,0,0,1]]', 'g2_inv': "['25353016669288549/8232','75211396489919/588','49431027484/7']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['7636','11785','29745701','1053696']", 'igusa_inv': "['1909','151354','15951264','1885732415','8232']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '294.a.8232.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1489689799540566411026646628887640297214854916698568385', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.45.1', '3.2160.20'], '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': '7.1505110377947187729279038187', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 3, 'torsion_order': 12, 'torsion_subgroup': '[12]', 'two_selmer_rank': 1, 'two_torsion_field': ['8.0.12446784.1', [1, 1, 1, 2, 0, -2, 1, -1, 1], [8, 9], False]}
  10. label: 295.a.295.1
    {'Lhash': '1445678309922023239', 'abs_disc': 295, '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': '[[5,[1,2,6,5]],[59,[1,-3,55,59]]]', 'bad_primes': [5, 59], 'class': '295.a', 'cond': 295, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,0,-1],[1,0,0,1]]', 'g2_inv': "['14348907/295','629856/295','-186624/295']", '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, 'igusa_clebsch_inv': "['108','-39','20835','37760']", 'igusa_inv': "['27','32','-256','-1984','295']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '295.a.295.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1492683688832182090588207138996158657800381952357760759', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.60.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 7], 'non_solvable_places': [], 'num_rat_pts': 5, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '29.256600301110768975528859924', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 14, 'torsion_subgroup': '[14]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.2.435125.1', [-1, -2, 4, -4, 6, 0, 1], [6, 3], False]}
  11. label: 295.a.295.2
    {'Lhash': '1445678309922023239', 'abs_disc': 295, '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': '[[5,[1,2,6,5]],[59,[1,-3,55,59]]]', 'bad_primes': [5, 59], 'class': '295.a', 'cond': 295, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[-608,389,22,-40,0,1],[1,1,1]]', 'g2_inv': "['-303267334973269931148501/295','-2214359494206283568520/59','-502441543825401014496/295']", '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, 'igusa_clebsch_inv': "['198804','305807001','18482629056189','-37760']", 'igusa_inv': "['49701','90182600','203402032096','494095763610824','-295']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '295.a.295.2', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1492683688832182090588207138996158657800381952357760759', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.60.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 7], 'non_solvable_places': [], 'num_rat_pts': 1, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '0.59707347553287283623528285560', 'prec': 103}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 2, 'torsion_subgroup': '[2]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.2.435125.1', [-1, -2, 4, -4, 6, 0, 1], [6, 3], False]}
  12. label: 324.a.648.1
    {'Lhash': '1709198346480436726', 'abs_disc': 648, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[6,2]', 'aut_grp_label': '6.2', 'aut_grp_tex': 'C_6', 'bad_lfactors': '[[2,[1,1,1]],[3,[1,3,3]]]', 'bad_primes': [2, 3], 'class': '324.a', 'cond': 324, 'disc_sign': -1, 'end_alg': 'CM', 'eqn': '[[0,0,1,2,2,1],[1,1,0,1]]', 'g2_inv': "['9375/8','-625/4','875/18']", 'geom_aut_grp_id': '[12,4]', 'geom_aut_grp_label': '12.4', 'geom_aut_grp_tex': 'D_6', 'geom_end_alg': 'M_2(Q)', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['60','945','2295','82944']", 'igusa_inv': "['15','-30','140','300','648']", 'is_gl2_type': True, 'is_simple_base': True, 'is_simple_geom': False, 'label': '324.a.648.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1736174728093068043991854423241781659285820614500843449', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.40.3', '3.1920.3'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 0, 'real_geom_end_alg': 'M_2(R)', 'real_period': {'__RealLiteral__': 0, 'data': '25.521768502968100246680260022', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'E_3', 'st_label': '1.4.E.3.1a', 'st_label_components': [1, 4, 4, 3, 1, 0], 'tamagawa_product': 3, 'torsion_order': 21, 'torsion_subgroup': '[21]', 'two_selmer_rank': 0, 'two_torsion_field': ['6.0.41472.1', [1, 0, 2, -2, 3, -2, 1], [6, 5], False]}
  13. label: 336.a.172032.1
    {'Lhash': '60554601871821384', 'abs_disc': 172032, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 2, 'aut_grp_id': '[4,2]', 'aut_grp_label': '4.2', 'aut_grp_tex': 'C_2^2', 'bad_lfactors': '[[2,[1,1]],[3,[1,3,5,3]],[7,[1,-1,7,-7]]]', 'bad_primes': [2, 3, 7], 'class': '336.a', 'cond': 336, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[-56,0,-75,0,15,0,-1],[0,1,0,1]]', 'g2_inv': "['-1352659309173012149/168','419870026410625699/168','-461744933079368']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 0, 'has_square_sha': False, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['16916','151117825','232872423961','-21504']", 'igusa_inv': "['16916','-88822256','277597802496','-798387183476800','-172032']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '336.a.172032.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1780331221377410157686790403274917258490726146167025864', 'prec': 190}, 'locally_solvable': False, 'modell_images': ['2.45.1', '3.720.5'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [2], 'num_rat_pts': 0, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '0.35606624427548203153735808065', 'prec': 103}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, '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': 2, 'torsion_subgroup': '[2]', 'two_selmer_rank': 2, 'two_torsion_field': ['8.4.260112384.2', [1, 20, -12, -12, -3, 8, 2, -4, 1], [8, 9], False]}
  14. label: 349.a.349.1
    {'Lhash': '270569359746706556', 'abs_disc': 349, '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': '[[349,[1,-11,337,349]]]', 'bad_primes': [349], 'class': '349.a', 'cond': 349, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,0,-1,-1],[1,1,1,1]]', 'g2_inv': "['-1024/349','2176/349','1984/349']", '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, 'igusa_clebsch_inv': "['8','208','1464','-1396']", 'igusa_inv': "['4','-34','-124','-413','-349']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '349.a.349.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1656123320984078287720952736293483346027630844236898789', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.6.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 13], 'non_solvable_places': [], 'num_rat_pts': 5, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '27.988484124630923062484101243', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 13, 'torsion_subgroup': '[13]', 'two_selmer_rank': 0, 'two_torsion_field': ['5.1.5584.1', [1, 1, 0, 0, -1, 1], [5, 5], False]}
  15. label: 353.a.353.1
    {'Lhash': '1325289956928886660', 'abs_disc': 353, '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': '[[353,[1,10,362,353]]]', 'bad_primes': [353], 'class': '353.a', 'cond': 353, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,0,1],[1,1,0,1]]', 'g2_inv': "['229345007/353','6021734/353','565504/353']", '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': True, 'igusa_clebsch_inv': "['188','817','30871','45184']", 'igusa_inv': "['47','58','256','2167','353']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '353.a.353.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1859131786554872680710289056816858155417289571348692034', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.10.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 11], 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '22.495494617313959436594497587', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 11, 'torsion_subgroup': '[11]', 'two_selmer_rank': 0, 'two_torsion_field': ['6.0.22592.1', [1, 0, -1, 0, 2, -2, 1], [6, 13], False]}
  16. label: 360.a.6480.1
    {'Lhash': '1656771274761252812', 'abs_disc': 6480, '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,[1,1,2]],[3,[1,2,1]],[5,[1,1,3,-5]]]', 'bad_primes': [2, 3, 5], 'class': '360.a', 'cond': 360, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[-5,0,7,0,-3],[0,1,0,1]]', 'g2_inv': "['28596971960000/81','1150492082200/81','6677950400/9']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['2360','11992','9047820','25920']", 'igusa_inv': "['1180','56018','3453120','234166319','6480']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '360.a.6480.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1887763985453663423030143396008739906269923065172255391', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.360.2', '3.90.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 4, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '24.163379013806891814785835469', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 8, 'torsion_order': 32, 'torsion_subgroup': '[2,2,8]', 'two_selmer_rank': 3, 'two_torsion_field': ['2.2.5.1', [-1, -1, 1], [2, 1], True]}
  17. label: 363.a.11979.1
    {'Lhash': '1338090095012731695', 'abs_disc': 11979, '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': '[[3,[1,2,4,3]],[11,[1,-2,1]]]', 'bad_primes': [3, 11], 'class': '363.a', 'cond': 363, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[0,2,4,2,0,1],[1,0,1]]', 'g2_inv': "['-150536645632/11979','-8874253312/11979','-1356160144/11979']", 'geom_aut_grp_id': '[2,1]', 'geom_aut_grp_label': '2.1', 'geom_aut_grp_tex': 'C_2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['344','-3068','-526433','-47916']", 'igusa_inv': "['172','1744','45841','1210779','-11979']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '363.a.11979.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1897059599534884032426437150258731309381975729352148588', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.120.3', '3.80.4'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 5, 'num_rat_wpts': 3, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '18.970595995348840324264371503', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 4, 'torsion_order': 20, 'torsion_subgroup': '[2,10]', 'two_selmer_rank': 2, 'two_torsion_field': ['3.1.44.1', [1, 1, -1, 1], [3, 2], False]}
  18. label: 363.a.43923.1
    {'Lhash': '1338090095012731695', 'abs_disc': 43923, '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': '[[3,[1,2,4,3]],[11,[1,-2,1]]]', 'bad_primes': [3, 11], 'class': '363.a', 'cond': 363, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[-2,1,10,-7,-13,11],[0,0,1]]', 'g2_inv': "['-5256325630316243968/43923','-1804005053317888/363','-99735603013264/363']", 'geom_aut_grp_id': '[2,1]', 'geom_aut_grp_label': '2.1', 'geom_aut_grp_tex': 'C_2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['11096','25612','88274095','-175692']", 'igusa_inv': "['5548','1278244','392069161','135322995423','-43923']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '363.a.43923.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1897059599534884032426437150258731309381975729352148588', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.60.1', '3.80.4'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 3, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '3.7941191990697680648528743005', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 5, 'torsion_order': 10, 'torsion_subgroup': '[10]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.0.52272.1', [1, 1, 2, -3, 0, -1, 1], [6, 3], False]}
  19. label: 388.a.776.1
    {'Lhash': '1336698070319187516', 'abs_disc': 776, '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,[1,1,1]],[97,[1,-13,83,97]]]', 'bad_primes': [2, 97], 'class': '388.a', 'cond': 388, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,1,2,0,-1],[1,1,0,1]]', 'g2_inv': "['59049/776','-22599/388','7209/194']", '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, 'igusa_clebsch_inv': "['36','1569','-13743','99328']", 'igusa_inv': "['9','-62','356','-160','776']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '388.a.776.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1982006890788402079094610010913380998860510457153074278', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.10.1', '3.80.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3, 7], 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '29.135501294589510562690767160', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 3, 'torsion_order': 21, 'torsion_subgroup': '[21]', 'two_selmer_rank': 0, 'two_torsion_field': ['6.2.49664.1', [-1, 0, 0, -2, 3, -2, 1], [6, 13], False]}
  20. label: 389.a.389.1
    {'Lhash': '2172656349009168506', 'abs_disc': 389, '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': '[[389,[1,11,399,389]]]', 'bad_primes': [389], 'class': '389.a', 'cond': 389, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[7,16,0,-8,-2,1],[0,1,0,1]]', 'g2_inv': "['2702708163200000/389','97147868000000/389','3103255952400/389']", '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, 'igusa_clebsch_inv': "['2440','51100','45041351','1556']", 'igusa_inv': "['1220','53500','2084961','-79649395','389']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '389.a.389.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1979862013008733330350209978381275022945283583377101838', 'prec': 190}, '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': '19.798620130087333303502099784', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': ['4.4.6224.1', [5, -2, -6, 0, 1], [4, 5], False]}
  21. label: 389.a.389.2
    {'Lhash': '2172656349009168506', 'abs_disc': 389, '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': '[[389,[1,11,399,389]]]', 'bad_primes': [389], 'class': '389.a', 'cond': 389, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,0,1,2,2,1],[1,1]]', 'g2_inv': "['32768/389','-7168/389','-10176/389']", '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, 'igusa_clebsch_inv': "['16','100','1775','1556']", 'igusa_inv': "['8','-14','-159','-367','389']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '389.a.389.2', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1979862013008733330350209978381275022945283583377101838', 'prec': 190}, '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': '19.798620130087333303502099784', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': ['4.0.1556.1', [2, 1, -1, -1, 1], [4, 5], False]}
  22. label: 394.a.394.1
    {'Lhash': '1445475659822937675', 'abs_disc': 394, '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,[1,1,0,-2]],[197,[1,-19,215,-197]]]', 'bad_primes': [2, 197], 'class': '394.a', 'cond': 394, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[-9,17,0,-12,1,2],[0,1,0,1]]', 'g2_inv': "['12960598758485504','532478222573696','28717744887720']", '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, 'igusa_clebsch_inv': "['11032','106300','393913607','1576']", 'igusa_inv': "['5516','1250044','371875905','122164372511','394']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '394.a.394.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2007827436393815644080807779968133033949398154305736677', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.60.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 5], 'non_solvable_places': [], 'num_rat_pts': 3, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '20.078274363938156440808077800', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': ['6.6.79480832.1', [-2, 0, 20, 0, -10, 0, 1], [6, 3], False]}
  23. label: 394.a.3152.1
    {'Lhash': '1445475659822937675', 'abs_disc': 3152, '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,[1,1,0,-2]],[197,[1,-19,215,-197]]]', 'bad_primes': [2, 197], 'class': '394.a', 'cond': 394, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,0,0,0,0,-1],[1,1]]', 'g2_inv': "['-6400000/197','-280000/197','-3900/197']", '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, 'igusa_clebsch_inv': "['80','-20','649','-12608']", 'igusa_inv': "['40','70','39','-835','-3152']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '394.a.3152.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2007827436393815644080807779968133033949398154305736677', 'prec': 190}, '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': 6, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '20.078274363938156440808077800', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 20, 'torsion_subgroup': '[20]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.788.1', [2, -2, 2, -1, 1], [4, 5], False]}
  24. label: 400.a.409600.1
    {'Lhash': '25792812462041176', 'abs_disc': 409600, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[8,3]', 'aut_grp_label': '8.3', 'aut_grp_tex': 'D_4', 'bad_lfactors': '[[2,[1]],[5,[1,2,1]]]', 'bad_primes': [2, 5], 'class': '400.a', 'cond': 400, 'disc_sign': -1, 'end_alg': 'M_2(Q)', 'eqn': '[[1,0,4,0,4,0,1],[]]', 'g2_inv': "['58632501248/25','2327987904/25','4674304']", 'geom_aut_grp_id': '[8,3]', 'geom_aut_grp_label': '8.3', 'geom_aut_grp_tex': 'D_4', 'geom_end_alg': 'M_2(Q)', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['248','181','14873','50']", 'igusa_inv': "['992','39072','1945600','100853504','409600']", 'is_gl2_type': False, 'is_simple_base': False, 'is_simple_geom': False, 'label': '400.a.409600.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.221585970625460117422890193054109675226210830212863684', 'prec': 187}, 'locally_solvable': True, 'modell_images': ['2.180.4', '3.17280.4'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 0, 'real_geom_end_alg': 'M_2(R)', 'real_period': {'__RealLiteral__': 0, 'data': '7.9770949425165642272240469499', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'E_1', 'st_label': '1.4.E.1.1a', 'st_label_components': [1, 4, 4, 1, 1, 0], 'tamagawa_product': 9, 'torsion_order': 18, 'torsion_subgroup': '[3,6]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.400.1', [1, 0, 3, 0, 1], [4, 2], True]}
  25. label: 427.a.2989.1
    {'Lhash': '417079324919295763', 'abs_disc': 2989, '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': '[[7,[1,0,6,7]],[61,[1,9,69,61]]]', 'bad_primes': [7, 61], 'class': '427.a', 'cond': 427, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[-4,4,4,-5,-1,1],[1,0,0,1]]', 'g2_inv': "['-39466820645749/61','-1672794336220/61','-96756008472/61']", '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, 'igusa_clebsch_inv': "['4564','-22439','-35962915','-382592']", 'igusa_inv': "['1141','55180','3641688','277583402','-2989']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '427.a.2989.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1899303686308920817263923619718777416326660023276608068', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.30.3'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 7], 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '18.613176125827424009186451473', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 14, 'torsion_subgroup': '[14]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.2.976.1', [-1, 0, 3, -2, 1], [4, 5], False]}
  26. label: 448.a.448.2
    {'Lhash': '639284731750073843', 'abs_disc': 448, '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,[1,1]],[7,[1,-1,7,-7]]]', 'bad_primes': [2, 7], 'class': '448.a', 'cond': 448, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[7,0,0,0,-2],[0,1,0,1]]', 'g2_inv': "['6080953884912/7','155007628668/7','-1306723104']", '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, 'igusa_clebsch_inv': "['828','16635','5308452','56']", 'igusa_inv': "['828','17476','-853888','-253107460','448']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '448.a.448.2', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2164663601475456895859403663284466809402159513646999589', 'prec': 190}, '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': '31.171155861246579300375412751', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 1, 'torsion_order': 12, 'torsion_subgroup': '[12]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.1568.1', [2, 0, -1, 0, 1], [4, 3], False]}
  27. label: 448.a.448.1
    {'Lhash': '639284731750073843', 'abs_disc': 448, '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,[1,1]],[7,[1,-1,7,-7]]]', 'bad_primes': [2, 7], 'class': '448.a', 'cond': 448, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[-7,0,0,0,1],[0,1,0,1]]', 'g2_inv': "['6080953884912/7','155007628668/7','-1306723104']", '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, 'igusa_clebsch_inv': "['828','16635','5308452','56']", 'igusa_inv': "['828','17476','-853888','-253107460','448']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '448.a.448.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2164663601475456895859403663284466809402159513646999589', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.45.1', '3.2160.5'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 2, 'num_rat_wpts': 0, 'real_geom_end_alg': 'C x R', 'real_period': {'__RealLiteral__': 0, 'data': '7.7927889653116448250938531878', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 1, 'torsion_order': 6, 'torsion_subgroup': '[6]', 'two_selmer_rank': 1, 'two_torsion_field': ['8.0.3211264.1', [1, -4, 8, -8, 7, -8, 8, -4, 1], [8, 9], False]}
  28. label: 450.a.2700.1
    {'Lhash': '898745104469034071', 'abs_disc': 2700, '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,[1,2,3,2]],[3,[1,0,-1]],[5,[1,0,-1]]]', 'bad_primes': [2, 3, 5], 'class': '450.a', 'cond': 450, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[0,1,3,3,3,1],[1,0,0,1]]', 'g2_inv': "['6240321451/2700','8289281/150','0']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['364','3529','393211','345600']", 'igusa_inv': "['91','198','0','-9801','2700']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '450.a.2700.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1956145387347962213478497730349625509052434223455857702', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.180.4', '3.720.4'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '18.778995718540437249393578211', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 6, 'torsion_order': 24, 'torsion_subgroup': '[24]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.225.1', [1, 1, 2, -1, 1], [4, 2], True]}
  29. label: 450.a.36450.1
    {'Lhash': '898745104469034071', 'abs_disc': 36450, '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,[1,2,3,2]],[3,[1,0,-1]],[5,[1,0,-1]]]', 'bad_primes': [2, 3, 5], 'class': '450.a', 'cond': 450, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[-16,-6,28,-9,-4,1],[1,0,0,1]]', 'g2_inv': "['6916057684302385301/36450','5303516319500302/675','1294426477922/3']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['23444','212089','1627179821','4665600']", 'igusa_inv': "['5861','1422468','457836300','164990835819','36450']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '450.a.36450.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1956145387347962213478497730349625509052434223455857702', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.180.7', '3.720.4'], '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': '18.778995718540437249393578211', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 6, 'torsion_order': 24, 'torsion_subgroup': '[2,12]', 'two_selmer_rank': 2, 'two_torsion_field': ['4.4.1600.1', [4, 0, -6, 0, 1], [4, 2], True]}
  30. label: 461.a.461.1
    {'Lhash': '2294054356344303861', 'abs_disc': 461, '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': '[[461,[1,1,461,461]]]', 'bad_primes': [461], 'class': '461.a', 'cond': 461, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[-2,3,0,-3,0,1],[0,0,0,1]]', 'g2_inv': "['70288881159168/461','2923824242304/461','161508086208/461']", '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, 'igusa_clebsch_inv': "['1176','144','66456','1844']", 'igusa_inv': "['588','14382','467132','16957923','461']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '461.a.461.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2458864264726567276756390789225886309416527367578934646', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.6.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 7], 'non_solvable_places': [], 'num_rat_pts': 3, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '12.048434897160179656106314867', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 7, 'torsion_subgroup': '[7]', 'two_selmer_rank': 0, 'two_torsion_field': ['5.1.7376.1', [2, -2, 0, 2, -2, 1], [5, 5], False]}
  31. label: 461.a.461.2
    {'Lhash': '2294054356344303861', 'abs_disc': 461, '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': '[[461,[1,1,461,461]]]', 'bad_primes': [461], 'class': '461.a', 'cond': 461, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[-306,272,10,-39,-1,1],[1]]', 'g2_inv': "['106720731303787612818432/461','2630293443843585469056/461','73323359651716069824/461']", '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, 'igusa_clebsch_inv': "['80664','166117104','3752725952952','1844']", 'igusa_inv': "['40332','40091742','45075737276','52661714805267','461']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '461.a.461.2', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2458864264726567276756390789225886309416527367578934646', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.6.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 7], 'non_solvable_places': [], 'num_rat_pts': 1, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '0.24588642647265672767563907892', 'prec': 103}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 1, 'torsion_subgroup': '[]', 'two_selmer_rank': 0, 'two_torsion_field': ['5.1.7376.1', [2, -2, 0, 2, -2, 1], [5, 5], False]}
  32. label: 464.a.464.1
    {'Lhash': '1539865513156672146', 'abs_disc': 464, '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]],[29,[1,3,31,29]]]', 'bad_primes': [2, 29], 'class': '464.a', 'cond': 464, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,0,0,-1,-2,-2,-1],[1,1]]', 'g2_inv': "['90870848/29','2869192/29','-18496/29']", '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, 'igusa_clebsch_inv': "['136','280','15060','1856']", 'igusa_inv': "['68','146','-64','-6417','464']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '464.a.464.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2253348567516756988935777779077256040399977849725265406', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.60.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2], 'non_solvable_places': [], 'num_rat_pts': 3, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '14.421430832107244729188977786', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 8, 'torsion_subgroup': '[8]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.0.53824.1', [2, 2, 1, -2, 0, 0, 1], [6, 3], False]}
  33. label: 464.a.29696.1
    {'Lhash': '1539865513156672146', 'abs_disc': 29696, '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]],[29,[1,3,31,29]]]', 'bad_primes': [2, 29], 'class': '464.a', 'cond': 464, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,0,-2,-4,3,8],[1,1]]', 'g2_inv': "['-141985700000/29','-6991813125/29','-533176100/29']", '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, 'igusa_clebsch_inv': "['680','-5255','-1253953','-3712']", 'igusa_inv': "['680','22770','1180736','71106895','-29696']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '464.a.29696.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2253348567516756988935777779077256040399977849725265406', 'prec': 190}, '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': '14.421430832107244729188977786', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 16, 'torsion_subgroup': '[2,8]', 'two_selmer_rank': 2, 'two_torsion_field': ['3.1.116.1', [-2, 0, -1, 1], [3, 2], False]}
  34. label: 464.a.29696.2
    {'Lhash': '1539865513156672146', 'abs_disc': 29696, '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]],[29,[1,3,31,29]]]', 'bad_primes': [2, 29], 'class': '464.a', 'cond': 464, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,1,16,72,33,4],[0,1]]', 'g2_inv': "['-187693059992988715232/29','-7808250185554819143/29','-432507850151022641/29']", '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, 'igusa_clebsch_inv': "['45368','202225','3012190355','-3712']", 'igusa_inv': "['45368','85625826','215176422416','607585463496703','-29696']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '464.a.29696.2', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2253348567516756988935777779077256040399977849725265406', 'prec': 190}, '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': 3, 'num_rat_wpts': 3, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '1.8026788540134055911486222233', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 4, 'torsion_subgroup': '[2,2]', 'two_selmer_rank': 2, 'two_torsion_field': ['3.1.116.1', [-2, 0, -1, 1], [3, 2], False]}
  35. label: 472.a.944.1
    {'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, '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': 190}, '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': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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]}
  36. label: 472.a.60416.1
    {'Lhash': '1886010138829170898', 'abs_disc': 60416, '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': '[[0,0,2,4,5,8],[1,1]]', 'g2_inv': "['79235168/59','-35714813/59','-20907676/59']", '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, 'igusa_clebsch_inv': "['152','17065','1592025','7552']", 'igusa_inv': "['152','-10414','-926656','-62325777','60416']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '472.a.60416.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2274474476920005292300657692297720450965366729119791884', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.60.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2], 'non_solvable_places': [], 'num_rat_pts': 3, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '7.2783183261440169353621046154', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 8, 'torsion_subgroup': '[8]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.0.222784.1', [1, 0, 4, 0, -4, 0, 1], [6, 3], False]}
  37. label: 476.a.952.1
    {'Lhash': '1400883143290220004', 'abs_disc': 952, '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,[1,0,-1]],[7,[1,3,3,-7]],[17,[1,-5,11,17]]]', 'bad_primes': [2, 7, 17], 'class': '476.a', 'cond': 476, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[54,-75,25,7,-5],[1,0,0,1]]', 'g2_inv': "['20805604708146875/952','299272981175625/476','-27661753375/2']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['7340','1042345','2905273355','121856']", 'igusa_inv': "['1835','96870','-3910340','-4139817700','952']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '476.a.952.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2474290657993484491865611344477742612525507854093420892', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.90.1', '3.5760.3'], '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': '26.722339106329632512148602520', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 3, 'torsion_order': 18, 'torsion_subgroup': '[3,6]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.2.7616.2', [-9, 6, 5, -2, 1], [4, 3], False]}
  38. label: 484.a.1936.1
    {'Lhash': '2114186068369783362', 'abs_disc': 1936, '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,[1,2,2]],[11,[1,0,-1]]]', 'bad_primes': [2, 11], 'class': '484.a', 'cond': 484, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[0,0,1,0,2,0,1],[1]]', 'g2_inv': "['13181630464/121','49057344/11','31824640/121']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['184','37','721','242']", 'igusa_inv': "['184','1386','15040','211591','1936']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '484.a.1936.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2042529109687498716317241099813480511445765355604950860', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.60.2', '3.720.4'], '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': '15.318968322656240372379308249', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 3, 'torsion_order': 15, 'torsion_subgroup': '[15]', 'two_selmer_rank': 0, 'two_torsion_field': ['6.0.30976.1', [2, -4, 4, -2, 2, -2, 1], [6, 3], False]}
  39. label: 504.a.27216.1
    {'Lhash': '2068398331689127268', 'abs_disc': 27216, '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,[1,1,2]],[3,[1,0,-1]],[7,[1,1,7,7]]]', 'bad_primes': [2, 3, 7], 'class': '504.a', 'cond': 504, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[21,0,15,0,3],[0,1,0,1]]', 'g2_inv': "['12063042849801664/243','167186257609000/81','3083035208512/27']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['8456','9496','26675348','108864']", 'igusa_inv': "['4228','743250','173847744','45651924783','27216']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '504.a.27216.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2432093576371069980817242398901724857138305628680486319', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.90.6', '3.90.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 2, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '7.7826994443874239386151756765', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 8, 'torsion_order': 16, 'torsion_subgroup': '[4,4]', 'two_selmer_rank': 2, 'two_torsion_field': ['8.0.49787136.1', [16, 0, 12, 0, 5, 0, 3, 0, 1], [8, 3], True]}
  40. label: 523.a.523.1
    {'Lhash': '1254137218410387728', 'abs_disc': 523, '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': '[[523,[1,-23,499,523]]]', 'bad_primes': [523], 'class': '523.a', 'cond': 523, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,0,0,-1,-1,1],[1,1]]', 'g2_inv': "['-777600000/523','-51840000/523','-8067600/523']", '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, 'igusa_clebsch_inv': "['120','-540','-29169','-2092']", 'igusa_inv': "['60','240','2241','19215','-523']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '523.a.523.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2481990412677571630041171344077874577286868196753029986', 'prec': 190}, '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': '24.819904126775716300411713441', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': ['4.2.2092.1', [-2, -3, 1, -1, 1], [4, 5], False]}
  41. label: 523.a.523.2
    {'Lhash': '1254137218410387728', 'abs_disc': 523, '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': '[[523,[1,-23,499,523]]]', 'bad_primes': [523], 'class': '523.a', 'cond': 523, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,-1,21,-110,-31,1],[0,1]]', 'g2_inv': "['-126810465636208320000000000/523','-5276053055713522320000000/523','-292288477352026798440000/523']", '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, 'igusa_clebsch_inv': "['332400','10084860','1107044456391','-2092']", 'igusa_inv': "['166200','1149254190','10581558955401','109467476288772525','-523']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '523.a.523.2', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2481990412677571630041171344077874577286868196753029986', 'prec': 190}, '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': 2, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '0.99279616507102865201646853763', 'prec': 103}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 2, 'torsion_subgroup': '[2]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.2.2092.1', [-2, -3, 1, -1, 1], [4, 5], False]}
  42. label: 529.a.529.1
    {'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, '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': 190}, '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': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, '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]}
  43. label: 555.a.8325.1
    {'Lhash': '1166985675164935359', 'abs_disc': 8325, '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,[1,0,2,-3]],[5,[1,3,1,-5]],[37,[1,3,39,37]]]', 'bad_primes': [3, 5, 37], 'class': '555.a', 'cond': 555, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,1,1,-4,-2,3],[1,1]]', 'g2_inv': "['100828984082432/8325','3438682756096/8325','140342016064/8325']", '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, 'igusa_clebsch_inv': "['1264','18124','6869487','33300']", 'igusa_inv': "['632','13622','351361','9125317','8325']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '555.a.8325.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2569247202971451430840301627276747947596854072417931968', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.120.3'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 5], 'non_solvable_places': [], 'num_rat_pts': 5, 'num_rat_wpts': 3, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '25.692472029714514308403016273', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 20, 'torsion_subgroup': '[2,10]', 'two_selmer_rank': 2, 'two_torsion_field': ['3.3.148.1', [1, -3, -1, 1], [3, 2], False]}
  44. label: 574.a.293888.1
    {'Lhash': '1146119130581588304', 'abs_disc': 293888, '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,[1,0,1,-2]],[7,[1,1,5,-7]],[41,[1,-1,39,41]]]', 'bad_primes': [2, 7, 41], 'class': '574.a', 'cond': 574, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[1,1,-3,0,-1,1],[0,1,1]]', 'g2_inv': "['-1419857/293888','-820471/20992','-2601/1148']", '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, 'igusa_clebsch_inv': "['68','-55823','-955895','-37617664']", 'igusa_inv': "['17','2338','2304','-1356769','-293888']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '574.a.293888.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2886587543015229003824325186836654917809429287527013022', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.180.3'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 5], 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '11.546350172060916015297300747', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 10, 'torsion_order': 20, 'torsion_subgroup': '[2,10]', 'two_selmer_rank': 2, 'two_torsion_field': ['4.0.82369.2', [144, 0, -17, 0, 1], [4, 2], True]}
  45. label: 576.a.576.1
    {'Lhash': '701482280995662430', 'abs_disc': 576, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[4,1]', 'aut_grp_label': '4.1', 'aut_grp_tex': 'C_4', 'bad_lfactors': '[[2,[1,2,2]],[3,[1,0,1]]]', 'bad_primes': [2, 3], 'class': '576.a', 'cond': 576, 'disc_sign': -1, 'end_alg': 'CM', 'eqn': '[[0,-1,0,-1],[1,1,1,1]]', 'g2_inv': "['22717712/9','540430/9','-289']", 'geom_aut_grp_id': '[8,3]', 'geom_aut_grp_label': '8.3', 'geom_aut_grp_tex': 'D_4', 'geom_end_alg': 'M_2(Q)', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['68','124','2616','72']", 'igusa_inv': "['68','110','-36','-3637','576']", 'is_gl2_type': True, 'is_simple_base': True, 'is_simple_geom': False, 'label': '576.a.576.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2239625216818580607766497752259954573181069031786758971', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.180.4', '3.1080.16'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 0, 'real_geom_end_alg': 'M_2(R)', 'real_period': {'__RealLiteral__': 0, 'data': '22.396252168185806077664977523', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'E_2', 'st_label': '1.4.E.2.1a', 'st_label_components': [1, 4, 4, 2, 1, 0], 'tamagawa_product': 1, 'torsion_order': 10, 'torsion_subgroup': '[10]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.144.1', [1, 0, -1, 0, 1], [4, 2], True]}
  46. label: 576.b.147456.1
    {'Lhash': '1812957330527134642', 'abs_disc': 147456, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[8,3]', 'aut_grp_label': '8.3', 'aut_grp_tex': 'D_4', 'bad_lfactors': '[[2,[1]],[3,[1,2,1]]]', 'bad_primes': [2, 3], 'class': '576.b', 'cond': 576, 'disc_sign': -1, 'end_alg': 'M_2(Q)', 'eqn': '[[1,0,2,0,2,0,1],[]]', 'g2_inv': "['5071050752/9','195344320/9','1016576']", 'geom_aut_grp_id': '[8,3]', 'geom_aut_grp_label': '8.3', 'geom_aut_grp_tex': 'D_4', 'geom_end_alg': 'M_2(Q)', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['152','109','5469','18']", 'igusa_inv': "['608','14240','405504','10942208','147456']", 'is_gl2_type': False, 'is_simple_base': False, 'is_simple_geom': False, 'label': '576.b.147456.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2906599836194253449707536531525517864993339016786242529', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.180.7', '3.2160.25'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 0, 'real_geom_end_alg': 'M_2(R)', 'real_period': {'__RealLiteral__': 0, 'data': '9.3011194758216110390641169009', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'E_1', 'st_label': '1.4.E.1.1a', 'st_label_components': [1, 4, 4, 1, 1, 0], 'tamagawa_product': 8, 'torsion_order': 16, 'torsion_subgroup': '[4,4]', 'two_selmer_rank': 2, 'two_torsion_field': ['4.0.144.1', [1, 0, -1, 0, 1], [4, 2], True]}
  47. label: 578.a.2312.1
    {'Lhash': '197005245984506301', 'abs_disc': 2312, '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,[1,0,1,-2]],[17,[1,0,-1]]]', 'bad_primes': [2, 17], 'class': '578.a', 'cond': 578, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[0,1,-2,2,-2,1],[0,1,1]]', 'g2_inv': "['601692057/2312','9815229/1156','-402876/289']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['228','705','135777','295936']", 'igusa_inv': "['57','106','-992','-16945','2312']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '578.a.2312.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2897979046217589018625115282708646574231230109665654471', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.90.3', '3.2160.21'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '13.910299421844427289400553357', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 3, 'torsion_order': 12, 'torsion_subgroup': '[12]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.1088.2', [2, -4, 5, -2, 1], [4, 3], False]}
  48. label: 587.a.587.1
    {'Lhash': '1656984838245688172', 'abs_disc': 587, 'analytic_rank': 1, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[2,1]', 'aut_grp_label': '2.1', 'aut_grp_tex': 'C_2', 'bad_lfactors': '[[587,[1,35,551,-587]]]', 'bad_primes': [587], 'class': '587.a', 'cond': 587, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,-1,-1],[1,1,0,1]]', 'g2_inv': "['-759375/587','165375/587','112725/587']", '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': True, 'igusa_clebsch_inv': "['60','1401','54147','-75136']", 'igusa_inv': "['15','-49','-501','-2479','-587']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '587.a.587.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.11135151106422023731910273620872358675238584539624', 'prec': 173}, 'locally_solvable': True, 'modell_images': [], 'mw_rank': 1, 'mw_rank_proved': True, 'non_maximal_primes': [], 'non_solvable_places': [], 'num_rat_pts': 10, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '29.510964061093545829670229541', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '0.0037732251252', 'prec': 50}, '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': 1, 'torsion_subgroup': '[]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.2.37568.1', [-1, 2, -1, 0, 2, -2, 1], [6, 16], False]}
  49. label: 588.a.18816.1
    {'Lhash': '765871431780445570', 'abs_disc': 18816, '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,[1,0,-1]],[3,[1,3,5,3]],[7,[1,0,-1]]]', 'bad_primes': [2, 3, 7], 'class': '588.a', 'cond': 588, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[8,12,5,0,1,1],[1,0,0,1]]', 'g2_inv': "['228669389707/18816','398891383/1176','-34969/98']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['748','11545','2902787','2408448']", 'igusa_inv': "['187','976','-192','-247120','18816']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '588.a.18816.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2869187443185176833911407616809981012611214310623151806', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.45.1', '3.720.4'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '20.658149590933273204162134841', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 8, 'torsion_order': 24, 'torsion_subgroup': '[24]', 'two_selmer_rank': 1, 'two_torsion_field': ['8.0.12446784.1', [1, 1, 1, 2, 0, -2, 1, -1, 1], [8, 9], False]}
  50. label: 597.a.597.1
    {'Lhash': '445445766581223123', 'abs_disc': 597, '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,[1,2,0,-3]],[199,[1,-5,203,-199]]]', 'bad_primes': [3, 199], 'class': '597.a', 'cond': 597, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,1,2,3,2,1],[1]]', 'g2_inv': "['259200000/199','8496000/199','-81600/199']", '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, 'igusa_clebsch_inv': "['120','192','9912','2388']", 'igusa_inv': "['60','118','-68','-4501','597']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '597.a.597.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2941146301882136359236849987869052563808417892096687406', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.6.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 7], 'non_solvable_places': [], 'num_rat_pts': 3, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '14.411616879222468160260564941', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 7, 'torsion_subgroup': '[7]', 'two_selmer_rank': 0, 'two_torsion_field': ['5.1.9552.1', [-2, 0, 2, 0, -2, 1], [5, 5], False]}
  51. label: 600.a.18000.1
    {'Lhash': '161348901202369168', 'abs_disc': 18000, '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': '[[2,[1,1]],[3,[1,1,1,-3]],[5,[1,2,1]]]', 'bad_primes': [2, 3, 5], 'class': '600.a', 'cond': 600, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[0,-1,1,8,-18,10],[0,1]]', 'g2_inv': "['9634345320448/1125','320612931584/1125','289804864/45']", 'geom_aut_grp_id': '[2,1]', 'geom_aut_grp_label': '2.1', 'geom_aut_grp_tex': 'C_2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['1376','23824','11410044','72000']", 'igusa_inv': "['688','15752','244900','-19908576','18000']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '600.a.18000.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2629766483481890532793201323010996832791245580524029765', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.360.2', '3.640.2'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 4, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '18.934318681069611836111049526', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 8, 'torsion_order': 24, 'torsion_subgroup': '[2,2,6]', 'two_selmer_rank': 3, 'two_torsion_field': ['2.2.5.1', [-1, -1, 1], [2, 1], True]}
  52. label: 600.a.96000.1
    {'Lhash': '161348901202369168', 'abs_disc': 96000, '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': '[[2,[1,1]],[3,[1,1,1,-3]],[5,[1,2,1]]]', 'bad_primes': [2, 3, 5], 'class': '600.a', 'cond': 600, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[0,0,2,3,5,4],[1,1]]', 'g2_inv': "['-25745372/375','9027914/375','-62951/15']", 'geom_aut_grp_id': '[2,1]', 'geom_aut_grp_label': '2.1', 'geom_aut_grp_tex': 'C_2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['92','4981','43947','-12000']", 'igusa_inv': "['92','-2968','47600','-1107456','-96000']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '600.a.96000.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2629766483481890532793201323010996832791245580524029765', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.180.3', '3.640.2'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '9.4671593405348059180555247628', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 4, 'torsion_order': 12, 'torsion_subgroup': '[2,6]', 'two_selmer_rank': 2, 'two_torsion_field': ['4.0.3600.2', [16, 0, -7, 0, 1], [4, 2], True]}
  53. label: 600.b.30000.1
    {'Lhash': '1467175788107318733', 'abs_disc': 30000, '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,[1,1,2]],[3,[1,1,3,3]],[5,[1,-2,1]]]', 'bad_primes': [2, 3, 5], 'class': '600.b', 'cond': 600, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[-3,0,1,0,1],[0,1,0,1]]', 'g2_inv': "['81000000','563400','-595008']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['600','18744','4690524','120000']", 'igusa_inv': "['300','626','-198336','-14973169','30000']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '600.b.30000.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2598840782939821510919747178657407910403080325085854330', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.180.3', '3.90.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '8.3162905054074288349431909717', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 8, 'torsion_order': 16, 'torsion_subgroup': '[2,8]', 'two_selmer_rank': 2, 'two_torsion_field': ['4.0.144.1', [1, 0, -1, 0, 1], [4, 2], True]}
  54. label: 600.b.450000.1
    {'Lhash': '1467175788107318733', 'abs_disc': 450000, '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,[1,1,2]],[3,[1,1,3,3]],[5,[1,-2,1]]]', 'bad_primes': [2, 3, 5], 'class': '600.b', 'cond': 600, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[-45,0,25,0,-5],[0,1,0,1]]', 'g2_inv': "['418329622965299904/3125','3479436045234936/625','38515932506304/125']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['18072','38904','233095932','1800000']", 'igusa_inv': "['9036','3395570','1698206400','953774351375','450000']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '600.b.450000.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2598840782939821510919747178657407910403080325085854330', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.360.2', '3.90.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 4, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '8.3162905054074288349431909717', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 32, 'torsion_order': 32, 'torsion_subgroup': '[2,2,8]', 'two_selmer_rank': 3, 'two_torsion_field': ['2.2.5.1', [-1, -1, 1], [2, 1], True]}
  55. label: 603.a.603.1
    {'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, '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': 190}, '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': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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]}
  56. label: 603.a.603.2
    {'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': '[[0,1,0,-1,0,1],[1,0,1]]', 'g2_inv': "['-5277319168/603','-203078656/603','-10539584/603']", '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, 'igusa_clebsch_inv': "['176','148','7375','-2412']", 'igusa_inv': "['88','298','1361','7741','-603']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '603.a.603.2', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2691001556363177690790850827729359332811643126537782509', 'prec': 190}, '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': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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]}
  57. label: 604.a.9664.1
    {'Lhash': '84410224055534154', 'abs_disc': 9664, '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,-1]],[151,[1,9,141,-151]]]', 'bad_primes': [2, 151], 'class': '604.a', 'cond': 604, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[-21,-53,-4,48,9,4],[1,1,1]]', 'g2_inv': "['291864493641401980949/9664','9414430497536890397/1208','2143030742187944921/604']", '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, 'igusa_clebsch_inv': "['49556','-797087975','-23996873337603','1236992']", 'igusa_inv': "['12389','39607304','223396249616','299729401586052','9664']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '604.a.9664.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2917880340909438023610651534253386660725423527891829039', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.6.1', '3.720.5'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3], 'non_solvable_places': [], 'num_rat_pts': 1, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '0.29178803409094380236106515343', 'prec': 103}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 1, 'torsion_subgroup': '[]', 'two_selmer_rank': 0, 'two_torsion_field': ['5.1.9664.1', [-1, 1, -3, 1, -1, 1], [5, 5], False]}
  58. label: 604.a.9664.2
    {'Lhash': '84410224055534154', 'abs_disc': 9664, '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,-1]],[151,[1,9,141,-151]]]', 'bad_primes': [2, 151], 'class': '604.a', 'cond': 604, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,-1,1,1,-1],[1,0,0,1]]', 'g2_inv': "['20511149/9664','-2755957/4832','175769/2416']", '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, 'igusa_clebsch_inv': "['116','6265','95277','1236992']", 'igusa_inv': "['29','-226','836','-6708','9664']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '604.a.9664.2', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2917880340909438023610651534253386660725423527891829039', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.6.1', '3.80.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3], 'non_solvable_places': [], 'num_rat_pts': 7, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '23.634830761366447991246277427', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 9, 'torsion_order': 27, 'torsion_subgroup': '[27]', 'two_selmer_rank': 0, 'two_torsion_field': ['5.1.9664.1', [-1, 1, -3, 1, -1, 1], [5, 5], False]}
  59. label: 630.a.34020.1
    {'Lhash': '56245095456183047', 'abs_disc': 34020, '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,[1,0,1,-2]],[3,[1,2,1]],[5,[1,1,3,-5]],[7,[1,1,7,7]]]', 'bad_primes': [2, 3, 5, 7], 'class': '630.a', 'cond': 630, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[15,-6,-23,0,10,3],[0,1,1]]', 'g2_inv': "['1587871127345703125/6804','10732293030978125/1134','13543327580000/27']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['24100','969793','7474503265','4354560']", 'igusa_inv': "['6025','1472118','470090880','166291536519','34020']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '630.a.34020.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3042326426523219980837462585758431291481061992685038876', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.360.2', '3.90.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 4, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '19.470889129748607877359760549', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 4, 'torsion_order': 16, 'torsion_subgroup': '[2,2,4]', 'two_selmer_rank': 3, 'two_torsion_field': ['2.2.105.1', [-26, -1, 1], [2, 1], True]}
  60. label: 640.a.81920.1
    {'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, '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.81920.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3085697573803655261763671842156709800019289977310453238', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.90.1', '3.2160.5'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 2, 'num_rat_wpts': 0, 'real_geom_end_alg': 'C x R', 'real_period': {'__RealLiteral__': 0, 'data': '7.4056741771287726282328124212', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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]}
  61. label: 640.a.81920.2
    {'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, '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': 190}, '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': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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]}
  62. label: 644.a.2576.1
    {'Lhash': '2213652731988948920', 'abs_disc': 2576, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 2, 'aut_grp_id': '[4,2]', 'aut_grp_label': '4.2', 'aut_grp_tex': 'C_2^2', 'bad_lfactors': '[[2,[1,2,1]],[7,[1,3,3,-7]],[23,[1,-1,23,-23]]]', 'bad_primes': [2, 7, 23], 'class': '644.a', 'cond': 644, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[-5,11,-20,20,-20,11,-5],[0,1,1]]', 'g2_inv': "['88516980336138032799/2576','220529201888022246/161','70640465629725']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 0, 'has_square_sha': False, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['39036','4124865','50880984159','329728']", 'igusa_inv': "['9759','3796384','1910683600','1058457444236','2576']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '644.a.2576.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2182461741172139236938015256531093218923466576286043857', 'prec': 190}, 'locally_solvable': False, 'modell_images': ['2.45.1', '3.720.4'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [0], 'num_rat_pts': 0, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '3.9284311341098506264884274618', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, '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': 6, 'torsion_subgroup': '[6]', 'two_selmer_rank': 2, 'two_torsion_field': ['8.0.1698758656.7', [82, -148, 230, -180, 131, -52, 22, -4, 1], [8, 9], False]}
  63. label: 644.a.659456.1
    {'Lhash': '2213652731988948920', 'abs_disc': 659456, '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,[1,2,1]],[7,[1,3,3,-7]],[23,[1,-1,23,-23]]]', 'bad_primes': [2, 7, 23], 'class': '644.a', 'cond': 644, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[-3,-13,4,51,4,-13,-3],[0,1,1]]', 'g2_inv': "['108277681088425330677249/659456','389810454818831018649/164864','9297727292338785/256']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['161796','1070662305','46065265919409','84410368']", 'igusa_inv': "['40449','23560804','14638854160','9253881697856','659456']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '644.a.659456.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2182461741172139236938015256531093218923466576286043857', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.90.3', '3.720.5'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 2, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '0.87298469646885569477520610261', 'prec': 103}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, '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': 2, 'torsion_subgroup': '[2]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.4.10304.1', [8, 8, -7, -2, 1], [4, 3], False]}
  64. label: 644.b.14812.1
    {'Lhash': '2193376596020366356', 'abs_disc': 14812, '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,[1,0,1]],[7,[1,3,9,7]],[23,[1,-3,19,23]]]', 'bad_primes': [2, 7, 23], 'class': '644.b', 'cond': 644, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[-1,-1,5,-4,-1,1],[1,0,0,1]]', 'g2_inv': "['-3201078401357/14812','-187148201375/14812','-17161611909/14812']", '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, 'igusa_clebsch_inv': "['1268','-40511','-17688719','-1895936']", 'igusa_inv': "['317','5875','170781','4905488','-14812']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '644.b.14812.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3087021439798674605273139082790620902264885734181795491', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.90.3'], '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': '15.435107198993373026365695414', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 10, 'torsion_subgroup': '[10]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.392.1', [1, 1, 0, -1, 1], [4, 3], False]}
  65. label: 672.a.172032.1
    {'Lhash': '743000016071892834', 'abs_disc': 172032, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 2, 'aut_grp_id': '[4,2]', 'aut_grp_label': '4.2', 'aut_grp_tex': 'C_2^2', 'bad_lfactors': '[[2,[1,1]],[3,[1,1,1,-3]],[7,[1,-1,7,-7]]]', 'bad_primes': [2, 3, 7], 'class': '672.a', 'cond': 672, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[56,0,-75,0,-16,0,-1],[0,1,0,1]]', 'g2_inv': "['-1352659309173012149/168','419870026410625699/168','-461744933079368']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 0, 'has_square_sha': False, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['16916','151117825','232872423961','-21504']", 'igusa_inv': "['16916','-88822256','277597802496','-798387183476800','-172032']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '672.a.172032.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2783373254537359577293883260771989008968378053401651426', 'prec': 190}, 'locally_solvable': False, 'modell_images': ['2.45.1', '3.720.5'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [2], 'num_rat_pts': 0, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '1.1133493018149438309175533043', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 2, 'torsion_order': 4, 'torsion_subgroup': '[4]', 'two_selmer_rank': 2, 'two_torsion_field': ['8.0.199148544.2', [4, 0, 2, 0, -1, 0, 1, 0, 1], [8, 9], False]}
  66. label: 676.a.5408.1
    {'Lhash': '1221962300074229217', 'abs_disc': 5408, '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,[1,0,-1]],[13,[1,0,-1]]]', 'bad_primes': [2, 13], 'class': '676.a', 'cond': 676, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[1,3,3,1],[0,1,1,1]]', 'g2_inv': "['345025251/5408','-928557/1352','0']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['204','3273','161211','692224']", 'igusa_inv': "['51','-28','0','-196','5408']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '676.a.5408.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3201552354797366231840162692222260046864076699129857330', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.60.2', '3.2160.21'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '20.169779835223407260593024961', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 7, 'torsion_order': 21, 'torsion_subgroup': '[21]', 'two_selmer_rank': 0, 'two_torsion_field': ['6.0.86528.1', [1, 0, 2, -2, 2, 0, 1], [6, 3], False]}
  67. label: 676.a.562432.1
    {'Lhash': '1221962300074229217', 'abs_disc': 562432, '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,[1,0,-1]],[13,[1,0,-1]]]', 'bad_primes': [2, 13], 'class': '676.a', 'cond': 676, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[0,2,2,4,2,2],[1,0,0,1]]', 'g2_inv': "['10896201253125/562432','5912281125/10816','-492075/208']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['1620','52953','29527389','71991296']", 'igusa_inv': "['405','4628','-8112','-6175936','562432']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '676.a.562432.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3201552354797366231840162692222260046864076699129857330', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.60.2', '3.2160.20'], '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': '6.7232599450744690868643416537', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 21, 'torsion_order': 21, 'torsion_subgroup': '[21]', 'two_selmer_rank': 0, 'two_torsion_field': ['6.0.86528.1', [1, 0, 2, -2, 2, 0, 1], [6, 3], False]}
  68. label: 676.b.17576.1
    {'Lhash': '1833436193401394957', 'abs_disc': 17576, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[12,4]', 'aut_grp_label': '12.4', 'aut_grp_tex': 'D_6', 'bad_lfactors': '[[2,[1,2,1]],[13,[1,-2,1]]]', 'bad_primes': [2, 13], 'class': '676.b', 'cond': 676, 'disc_sign': -1, 'end_alg': 'M_2(Q)', 'eqn': '[[-1,3,-6,6,-6,3,-1],[0,1,1]]', 'g2_inv': "['2909390022551/17576','4602275343/676','10349147/26']", 'geom_aut_grp_id': '[12,4]', 'geom_aut_grp_label': '12.4', 'geom_aut_grp_tex': 'D_6', 'geom_end_alg': 'M_2(Q)', 'globally_solvable': 0, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['1244','1249','129167','2249728']", 'igusa_inv': "['311','3978','72332','1667692','17576']", 'is_gl2_type': False, 'is_simple_base': False, 'is_simple_geom': False, 'label': '676.b.17576.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.265819283342308889724748752614209990924640690331450633', 'prec': 187}, 'locally_solvable': False, 'modell_images': ['2.120.4', '3.17280.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [0, 2, 11], 'num_rat_pts': 0, 'num_rat_wpts': 0, 'real_geom_end_alg': 'M_2(R)', 'real_period': {'__RealLiteral__': 0, 'data': '7.1771206502423400225682163206', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'E_1', 'st_label': '1.4.E.1.1a', 'st_label_components': [1, 4, 4, 1, 1, 0], 'tamagawa_product': 3, 'torsion_order': 9, 'torsion_subgroup': '[3,3]', 'two_selmer_rank': 0, 'two_torsion_field': ['3.1.104.1', [-2, -1, 0, 1], [3, 2], False]}
  69. label: 686.a.686.1
    {'Lhash': '248907434426048949', 'abs_disc': 686, '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,[1,0,1,2]],[7,[1,-1]]]', 'bad_primes': [2, 7], 'class': '686.a', 'cond': 686, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[0,1,1,2,1,1],[0,1,1]]', 'g2_inv': "['37209375/2','472500','-15750']", '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, 'igusa_clebsch_inv': "['420','4305','640185','87808']", 'igusa_inv': "['105','280','-980','-45325','686']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '686.a.686.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3192126330411513096680869252277007151130684755483975564', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.90.3', '3.2160.5'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 2, 'num_rat_wpts': 2, 'real_geom_end_alg': 'C x R', 'real_period': {'__RealLiteral__': 0, 'data': '11.491654789481447148051129308', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 1, 'torsion_order': 6, 'torsion_subgroup': '[6]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.2744.1', [2, 3, 3, -1, 1], [4, 3], False]}
  70. label: 688.a.2752.1
    {'Lhash': '531506738588903304', 'abs_disc': 2752, '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]],[43,[1,-5,47,-43]]]', 'bad_primes': [2, 43], 'class': '688.a', 'cond': 688, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,-1,0,4,-5,2],[1]]', 'g2_inv': "['-524288/43','16384/43','-21504/43']", '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, 'igusa_clebsch_inv': "['32','112','-680','-344']", 'igusa_inv': "['32','-32','1344','10496','-2752']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '688.a.2752.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3213412268738397126404175867292315467074221993584618683', 'prec': 190}, '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': 6, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '25.707298149907177011233406938', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 5, 'torsion_order': 20, 'torsion_subgroup': '[20]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.2.688.1', [-1, -2, 0, 0, 1], [4, 5], False]}
  71. label: 688.a.704512.2
    {'Lhash': '531506738588903304', 'abs_disc': 704512, '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]],[43,[1,-5,47,-43]]]', 'bad_primes': [2, 43], 'class': '688.a', 'cond': 688, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[1,4,2,-8,-7,2],[]]', 'g2_inv': "['-1344218660864/43','-57041383424/43','-3298550016/43']", '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, 'igusa_clebsch_inv': "['464','-248','-39602','-86']", 'igusa_inv': "['1856','146176','15688704','1937702912','-704512']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '688.a.704512.2', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3213412268738397126404175867292315467074221993584618683', 'prec': 190}, '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': '6.4268245374767942528083517346', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 5, 'torsion_order': 10, 'torsion_subgroup': '[10]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.2.688.1', [-1, -2, 0, 0, 1], [4, 5], False]}
  72. label: 688.a.704512.1
    {'Lhash': '531506738588903304', 'abs_disc': 704512, '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]],[43,[1,-5,47,-43]]]', 'bad_primes': [2, 43], 'class': '688.a', 'cond': 688, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[1,2,1,4,0,2],[]]', 'g2_inv': "['2147483648/43','42991616/43','-6537216/43']", '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, 'igusa_clebsch_inv': "['128','532','26830','86']", 'igusa_inv': "['512','5248','-408576','-59183104','704512']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '688.a.704512.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3213412268738397126404175867292315467074221993584618683', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.60.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 5], 'non_solvable_places': [], 'num_rat_pts': 3, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '6.4268245374767942528083517346', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 5, 'torsion_order': 10, 'torsion_subgroup': '[10]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.0.473344.1', [2, 4, 4, -2, 0, 0, 1], [6, 3], False]}
  73. label: 691.a.691.1
    {'Lhash': '1324977999947104173', 'abs_disc': 691, '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': '[[691,[1,29,719,691]]]', 'bad_primes': [691], 'class': '691.a', 'cond': 691, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,0,-1,-1,0,1],[1,1]]', 'g2_inv': "['-380204032/691','-35152000/691','-1625104/691']", '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, 'igusa_clebsch_inv': "['104','-824','-20333','-2764']", 'igusa_inv': "['52','250','601','-7812','-691']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '691.a.691.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2939463892598192424091021283086475110620279370319154963', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.30.3'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2], 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '18.812568912628431514182536212', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 8, 'torsion_subgroup': '[8]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.2.2764.1', [-2, 1, -3, -1, 1], [4, 5], False]}
  74. label: 704.a.45056.1
    {'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, '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': 190}, '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': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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]}
  75. label: 708.a.2832.1
    {'Lhash': '379335071324098363', 'abs_disc': 2832, '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,[1,0,1]],[3,[1,2,4,3]],[59,[1,1,59,59]]]', 'bad_primes': [2, 3, 59], 'class': '708.a', 'cond': 708, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,0,0,0,0,1],[1,1,1]]', 'g2_inv': "['69343957/2832','-1468937/2832','-1369/48']", '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, 'igusa_clebsch_inv': "['148','2065','76361','362496']", 'igusa_inv': "['37','-29','-59','-756','2832']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '708.a.2832.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3253436263090930861989774464993483153633277631657705005', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.60.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 5], 'non_solvable_places': [], 'num_rat_pts': 3, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '16.267181315454654309948872325', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 10, 'torsion_subgroup': '[10]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.0.93987.1', [1, 2, 4, -2, -2, 0, 1], [6, 3], False]}
  76. label: 708.a.19116.1
    {'Lhash': '379335071324098363', 'abs_disc': 19116, '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,[1,0,1]],[3,[1,2,4,3]],[59,[1,1,59,59]]]', 'bad_primes': [2, 3, 59], 'class': '708.a', 'cond': 708, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[-1,4,4,0,0,-1],[1,0,0,1]]', 'g2_inv': "['602738989907/19116','89845294523/19116','-383324231/324']", '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, 'igusa_clebsch_inv': "['908','-132815','8426215','2446848']", 'igusa_inv': "['227','7681','-438901','-39657072','19116']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '708.a.19116.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3253436263090930861989774464993483153633277631657705005', 'prec': 190}, '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': '16.267181315454654309948872325', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 10, 'torsion_subgroup': '[10]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.2.3776.2', [3, 2, -3, -2, 1], [4, 5], False]}
  77. label: 708.a.181248.1
    {'Lhash': '379335071324098363', 'abs_disc': 181248, 'analytic_rank': 0, 'analytic_rank_proved': False, 'analytic_sha': 4, 'aut_grp_id': '[2,1]', 'aut_grp_label': '2.1', 'aut_grp_tex': 'C_2', 'bad_lfactors': '[[2,[1,0,1]],[3,[1,2,4,3]],[59,[1,1,59,59]]]', 'bad_primes': [2, 3, 59], 'class': '708.a', 'cond': 708, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[-36,-98,-41,48,9,-4,-1],[1,0,0,1]]', 'g2_inv': "['-686605237334059580078125/181248','365029741228054296875/181248','-208774418179643125/181248']", 'geom_aut_grp_id': '[2,1]', 'geom_aut_grp_label': '2.1', 'geom_aut_grp_tex': 'C_2', 'geom_end_alg': 'Q', 'globally_solvable': 0, 'has_square_sha': True, 'hasse_weil_proved': False, 'igusa_clebsch_inv': "['234100','3468879025','202585466081177','-23199744']", 'igusa_inv': "['58525','-1820975','60952909','62829762150','-181248']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '708.a.181248.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3253436263090930861989774464993483153633277631657705005', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.15.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 5], 'non_solvable_places': [], 'num_rat_pts': 0, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '0.32534362630909308619897744650', 'prec': 103}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 2, 'torsion_subgroup': '[2]', 'two_selmer_rank': 3, 'two_torsion_field': ['6.2.24060672.2', [-108, 0, -18, 0, 3, 0, 1], [6, 11], False]}
  78. label: 709.a.709.1
    {'Lhash': '313471120575217524', 'abs_disc': 709, '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': '[[709,[1,-5,703,709]]]', 'bad_primes': [709], 'class': '709.a', 'cond': 709, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,1,-2,0,0,1],[0,1]]', 'g2_inv': "['3276800000/709','245760000/709','7174400/709']", '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, 'igusa_clebsch_inv': "['160','-1280','-42089','2836']", 'igusa_inv': "['80','480','1121','-35180','709']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '709.a.709.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2868931505071272731308297049624563478403972027713468240', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.30.3'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2], 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '18.361161632456145480373101118', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 8, 'torsion_subgroup': '[8]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.2836.1', [2, -4, 4, -1, 1], [4, 5], False]}
  79. label: 713.a.713.1
    {'Lhash': '1119255131859026482', 'abs_disc': 713, 'analytic_rank': 1, 'analytic_rank_proved': False, 'analytic_sha': 1, 'aut_grp_id': '[2,1]', 'aut_grp_label': '2.1', 'aut_grp_tex': 'C_2', 'bad_lfactors': '[[23,[1,-3,19,23]],[31,[1,6,24,-31]]]', 'bad_primes': [23, 31], 'class': '713.a', 'cond': 713, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,-1,0,0,0,-1],[1,1,0,1]]', 'g2_inv': "['59049/713','-37179/713','14013/713']", '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, 'igusa_clebsch_inv': "['36','1305','-2547','91264']", 'igusa_inv': "['9','-51','173','-261','713']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '713.a.713.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.12839499124728345901705434747732485757963321710370', 'prec': 173}, 'locally_solvable': True, 'modell_images': ['2.20.2'], 'mw_rank': 1, 'mw_rank_proved': True, 'non_maximal_primes': [2], 'non_solvable_places': [], 'num_rat_pts': 8, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '27.957888812357838995963126226', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '0.00459244230167', 'prec': 54}, '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': 1, 'torsion_subgroup': '[]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.2.362467097.3', [4, 0, -27, 27, 1, -2, 1], [6, 9], False]}
  80. label: 713.b.713.1
    {'Lhash': '1456251329365809152', 'abs_disc': 713, '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': '[[23,[1,-5,17,23]],[31,[1,-4,26,31]]]', 'bad_primes': [23, 31], 'class': '713.b', 'cond': 713, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,0,0,0,-1],[1,1,0,1]]', 'g2_inv': "['-279841/31','-10051/31','943/31']", '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, 'igusa_clebsch_inv': "['92','73','6379','-91264']", 'igusa_inv': "['23','19','-41','-326','-713']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '713.b.713.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2858010009469617170226097264141850097688609131635517430', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.20.2', '3.80.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3], 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '23.149881076703899078831387840', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 9, 'torsion_subgroup': '[9]', 'two_selmer_rank': 0, 'two_torsion_field': ['6.2.362467097.3', [4, 0, -27, 27, 1, -2, 1], [6, 9], False]}
  81. label: 720.a.6480.1
    {'Lhash': '33373679747630311', 'abs_disc': 6480, '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,[1,1,2]],[3,[1,0,-1]],[5,[1,1,3,-5]]]', 'bad_primes': [2, 3, 5], 'class': '720.a', 'cond': 720, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[5,0,7,0,2],[0,1,0,1]]', 'g2_inv': "['28596971960000/81','1150492082200/81','6677950400/9']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['2360','11992','9047820','25920']", 'igusa_inv': "['1180','56018','3453120','234166319','6480']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '720.a.6480.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2951333844454731670187434245797606155846471793881095521', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.180.7', '3.90.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 2, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '9.4442683022551413445997895866', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 2, 'torsion_order': 8, 'torsion_subgroup': '[2,4]', 'two_selmer_rank': 2, 'two_torsion_field': ['4.0.400.1', [1, 0, 3, 0, 1], [4, 2], True]}
  82. label: 720.b.116640.1
    {'Lhash': '1054931160234915901', 'abs_disc': 116640, '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,[1,1]],[3,[1,0,-1]],[5,[1,3,7,5]]]', 'bad_primes': [2, 3, 5], 'class': '720.b', 'cond': 720, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[-90,0,39,0,-6],[0,1,0,1]]', 'g2_inv': "['54412363190235229024/3645','251762275020280012/405','310461362928064/9']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['35416','45688','537039964','466560']", 'igusa_inv': "['17708','13057938','12831384960','14177105014959','116640']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '720.b.116640.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3011887029443115715916876799217168560251908491597527838', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.180.3', '3.720.4'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '14.457057741326955436401008636', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 12, 'torsion_order': 24, 'torsion_subgroup': '[2,12]', 'two_selmer_rank': 2, 'two_torsion_field': ['4.4.1600.1', [4, 0, -6, 0, 1], [4, 2], True]}
  83. label: 726.a.1452.1
    {'Lhash': '2032374024841673184', 'abs_disc': 1452, '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': '[[2,[1,1,0,-2]],[3,[1,0,2,-3]],[11,[1,-2,1]]]', 'bad_primes': [2, 3, 11], 'class': '726.a', 'cond': 726, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[0,-1,-2,6,2,2],[1,0,1]]', 'g2_inv': "['-1980879200000/363','-7297976000/11','-25363896100/363']", 'geom_aut_grp_id': '[2,1]', 'geom_aut_grp_label': '2.1', 'geom_aut_grp_tex': 'C_2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['760','-69236','-16142609','-5808']", 'igusa_inv': "['380','17556','702601','-10306189','-1452']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '726.a.1452.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3024817222185461380279165704986780322597549968172096985', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.60.1', '3.90.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 3, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '15.124086110927306901395828525', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 2, 'torsion_order': 10, 'torsion_subgroup': '[10]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.0.52272.1', [1, 1, 2, -3, 0, -1, 1], [6, 3], False]}
  84. label: 731.a.12427.1
    {'Lhash': '934349038178523264', 'abs_disc': 12427, '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': '[[17,[1,-2,14,17]],[43,[1,-3,39,43]]]', 'bad_primes': [17, 43], 'class': '731.a', 'cond': 731, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[-3,-1,0,0,2,1],[0,0,1,1]]', 'g2_inv': "['-796262400000/12427','-82861056000/12427','-9634464000/12427']", '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, 'igusa_clebsch_inv': "['480','-21564','-3373785','-49708']", 'igusa_inv': "['240','5994','167265','1053891','-12427']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '731.a.12427.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2985355886872414062863189873478987786819489163265650277', 'prec': 190}, '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': '14.926779434362070314315949367', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 10, 'torsion_subgroup': '[10]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.2.688.1', [-1, -2, 0, 0, 1], [4, 5], False]}
  85. label: 741.a.28899.1
    {'Lhash': '1135624214825637519', 'abs_disc': 28899, '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,[1,1,3,3]],[13,[1,3,15,13]],[19,[1,-3,15,19]]]', 'bad_primes': [3, 13, 19], 'class': '741.a', 'cond': 741, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,1,2,0,-1,-3],[1,1]]', 'g2_inv': "['220150628352/3211','9544531968/3211','-351765504/3211']", '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, 'igusa_clebsch_inv': "['576','-840','740385','115596']", 'igusa_inv': "['288','3596','-38169','-5980972','28899']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '741.a.28899.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2930756651264371996923859602312386579242554450757708092', 'prec': 190}, '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': '18.756842568091980780312701455', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 16, 'torsion_subgroup': '[2,8]', 'two_selmer_rank': 2, 'two_torsion_field': ['3.1.76.1', [-2, -2, 0, 1], [3, 2], False]}
  86. label: 743.a.743.1
    {'Lhash': '1694545472221723570', 'abs_disc': 743, 'analytic_rank': 1, 'analytic_rank_proved': False, 'analytic_sha': 1, 'aut_grp_id': '[2,1]', 'aut_grp_label': '2.1', 'aut_grp_tex': 'C_2', 'bad_lfactors': '[[743,[1,23,719,-743]]]', 'bad_primes': [743], 'class': '743.a', 'cond': 743, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,0,1,0,-1],[1,1,0,1]]', 'g2_inv': "['16807/743','-27097/743','-2597/743']", '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, 'igusa_clebsch_inv': "['28','1945','15219','95104']", 'igusa_inv': "['7','-79','-53','-1653','743']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '743.a.743.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.13165575038462151162891693537315062512814793312980', 'prec': 173}, 'locally_solvable': True, 'modell_images': [], 'mw_rank': 1, 'mw_rank_proved': True, 'non_maximal_primes': [], 'non_solvable_places': [], 'num_rat_pts': 8, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '28.765390617361029929781074294', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '0.00457688032594', 'prec': 54}, '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': 1, 'torsion_subgroup': '[]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.0.47552.1', [1, 0, 1, -2, 2, -2, 1], [6, 16], False]}
  87. label: 745.a.745.1
    {'Lhash': '1884643701512224450', 'abs_disc': 745, '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': '[[5,[1,2,2,-5]],[149,[1,2,146,-149]]]', 'bad_primes': [5, 149], 'class': '745.a', 'cond': 745, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,-1],[1,1,0,1]]', 'g2_inv': "['28629151/745','-566029/745','37479/745']", '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, 'igusa_clebsch_inv': "['124','1417','38763','95360']", 'igusa_inv': "['31','-19','39','212','745']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '745.a.745.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3033683921052660240631287058786037771056412979842315750', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.10.1', '3.80.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3], 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '24.572839760526547949113425176', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 9, 'torsion_subgroup': '[9]', 'two_selmer_rank': 0, 'two_torsion_field': ['6.0.47680.1', [1, -2, 1, 0, 0, 0, 1], [6, 13], False]}
  88. label: 762.a.3048.1
    {'Lhash': '651912719483453036', 'abs_disc': 3048, '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,[1,0,1,-2]],[3,[1,1,1,-3]],[127,[1,17,143,127]]]', 'bad_primes': [2, 3, 127], 'class': '762.a', 'cond': 762, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[1,1,1],[0,1,1,1]]', 'g2_inv': "['14025517307/3048','140879945/1016','20871527/3048']", '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, 'igusa_clebsch_inv': "['428','3169','355487','390144']", 'igusa_inv': "['107','345','1823','19009','3048']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '762.a.3048.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3486135246477613131082012712614463337861906590744657513', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.15.1', '3.80.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3], 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '16.733449183092543029193661021', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 3, 'torsion_order': 12, 'torsion_subgroup': '[12]', 'two_selmer_rank': 1, 'two_torsion_field': ['6.4.27870912.2', [16, -48, 26, 14, -11, -1, 1], [6, 11], False]}
  89. label: 762.a.82296.1
    {'Lhash': '651912719483453036', 'abs_disc': 82296, '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,[1,0,1,-2]],[3,[1,1,1,-3]],[127,[1,17,143,127]]]', 'bad_primes': [2, 3, 127], 'class': '762.a', 'cond': 762, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,-1,2,14,-8,1],[0,1,1]]', 'g2_inv': "['243405270090015001/82296','4955375073324349/41148','65790314289164/10287']", '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, 'igusa_clebsch_inv': "['12004','205249','810020577','10533888']", 'igusa_inv': "['3001','366698','58441312','10228738527','82296']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '762.a.82296.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3486135246477613131082012712614463337861906590744657513', 'prec': 190}, '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': '16.733449183092543029193661021', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 12, 'torsion_order': 24, 'torsion_subgroup': '[2,12]', 'two_selmer_rank': 2, 'two_torsion_field': ['3.3.1016.1', [2, -6, -1, 1], [3, 2], False]}
  90. label: 763.a.763.1
    {'Lhash': '1562044646345484481', 'abs_disc': 763, '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': '[[7,[1,1,5,-7]],[109,[1,9,99,-109]]]', 'bad_primes': [7, 109], 'class': '763.a', 'cond': 763, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,-1,2,0,-2],[0,1,0,1]]', 'g2_inv': "['-14693280768/763','-377913600/763','-944784/763']", '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, 'igusa_clebsch_inv': "['216','1116','75735','-3052']", 'igusa_inv': "['108','300','81','-20313','-763']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '763.a.763.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3048575004522535920085251501905636550504464087246596634', 'prec': 190}, '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': '30.485750045225359200852515019', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': ['4.2.3052.1', [-2, -1, 1, -1, 1], [4, 5], False]}
  91. label: 768.a.1536.1
    {'Lhash': '1076854188039407666', 'abs_disc': 1536, '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]],[3,[1,1,1,-3]]]', 'bad_primes': [2, 3], 'class': '768.a', 'cond': 768, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,1,0,-3,-1,2],[1]]', 'g2_inv': "['2700250214/3','417158281/12','39543601/24']", '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, 'igusa_clebsch_inv': "['134','82','3600','6']", 'igusa_inv': "['268','2774','35236','437043','1536']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '768.a.1536.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3492604085404523410356463834441412558599862963797949670', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.180.3', '3.80.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3], 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '25.146749414912568554566539608', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 12, 'torsion_subgroup': '[2,6]', 'two_selmer_rank': 2, 'two_torsion_field': ['4.4.2304.1', [1, 0, -4, 0, 1], [4, 2], True]}
  92. label: 768.a.4608.1
    {'Lhash': '1076854188039407666', 'abs_disc': 4608, '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]],[3,[1,1,1,-3]]]', 'bad_primes': [2, 3], 'class': '768.a', 'cond': 768, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[-1,-1,-1,-1],[1,1,1,1]]', 'g2_inv': "['4952198/9','624169/36','-42959/72']", '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, 'igusa_clebsch_inv': "['38','22','384','18']", 'igusa_inv': "['76','182','-476','-17325','4608']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '768.a.4608.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3492604085404523410356463834441412558599862963797949670', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.180.3', '3.80.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3], 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '12.573374707456284277283269804', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': ['4.0.256.1', [1, 0, 0, 0, 1], [4, 2], True]}
  93. label: 784.a.1568.1
    {'Lhash': '312369878683860827', 'abs_disc': 1568, '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,[1,1]],[7,[1,0,-1]]]', 'bad_primes': [2, 7], 'class': '784.a', 'cond': 784, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[-2,0,3,0,-2],[0,1,0,1]]', 'g2_inv': "['304316815968/49','12641055372/49','14427072']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['792','120','15228','6272']", 'igusa_inv': "['396','6514','144256','3673295','1568']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '784.a.1568.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2887965445848189243502666365046684126736890460442209383', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.90.3', '3.2160.21'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '20.793351210106962553219197828', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 2, 'torsion_order': 12, 'torsion_subgroup': '[12]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.392.1', [1, 1, 0, -1, 1], [4, 3], False]}
  94. label: 784.a.43904.1
    {'Lhash': '312369878683860827', 'abs_disc': 43904, '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,[1,1]],[7,[1,0,-1]]]', 'bad_primes': [2, 7], 'class': '784.a', 'cond': 784, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[56,0,27,0,4],[0,1,0,1]]', 'g2_inv': "['1067368445729034408/343','6352710665144931/49','50408453477952/7']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['21288','3000','20891172','175616']", 'igusa_inv': "['10644','4720114','2790613504','1855953490895','43904']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '784.a.43904.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.2887965445848189243502666365046684126736890460442209383', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.90.1', '3.2160.20'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 2, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '6.9311170700356541844063992761', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 6, 'torsion_order': 12, 'torsion_subgroup': '[12]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.392.1', [1, 1, 0, -1, 1], [4, 3], False]}
  95. label: 784.b.12544.1
    {'Lhash': '1997748879806368035', 'abs_disc': 12544, '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,[1,1]],[7,[1,-2,1]]]', 'bad_primes': [2, 7], 'class': '784.b', 'cond': 784, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[-1],[0,1,0,1]]', 'g2_inv': "['82044596/49','1609674/49','-67280/49']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['116','445','16259','1568']", 'igusa_inv': "['116','264','-1280','-54544','12544']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '784.b.12544.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3130583414865297840112428792079003392808388504750968261', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.360.1', '3.720.4'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '11.270100293515072224404743651', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 4, 'torsion_order': 12, 'torsion_subgroup': '[2,6]', 'two_selmer_rank': 2, 'two_torsion_field': ['2.0.7.1', [2, -1, 1], [2, 1], True]}
  96. label: 784.b.25088.1
    {'Lhash': '1997748879806368035', 'abs_disc': 25088, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 2, 'aut_grp_id': '[2,1]', 'aut_grp_label': '2.1', 'aut_grp_tex': 'C_2', 'bad_lfactors': '[[2,[1,1]],[7,[1,-2,1]]]', 'bad_primes': [2, 7], 'class': '784.b', 'cond': 784, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[-9,41,-49,2,7,-3,-1],[1,0,1]]', 'g2_inv': "['301635777856250/49','-399451653071875/49','-712598832131225/98']", 'geom_aut_grp_id': '[2,1]', 'geom_aut_grp_label': '2.1', 'geom_aut_grp_tex': 'C_2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 0, 'has_square_sha': False, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['2740','15382525','36170522453','3136']", 'igusa_inv': "['2740','-9942200','-24298750736','-41356479464160','25088']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '784.b.25088.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3130583414865297840112428792079003392808388504750968261', 'prec': 190}, 'locally_solvable': False, 'modell_images': ['2.45.1', '3.720.5'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [2], 'num_rat_pts': 0, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '0.62611668297305956802248575842', 'prec': 103}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, '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': 2, 'torsion_subgroup': '[2]', 'two_selmer_rank': 2, 'two_torsion_field': ['8.0.3211264.1', [1, -4, 8, -8, 7, -8, 8, -4, 1], [8, 9], False]}
  97. label: 784.b.76832.1
    {'Lhash': '1997748879806368035', 'abs_disc': 76832, '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': '[[2,[1,1]],[7,[1,-2,1]]]', 'bad_primes': [2, 7], 'class': '784.b', 'cond': 784, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[-9,10,0,-2,-4,4,-1],[1,1]]', 'g2_inv': "['7923516800000/2401','27710360000/2401','2238200/49']", 'geom_aut_grp_id': '[2,1]', 'geom_aut_grp_label': '2.1', 'geom_aut_grp_tex': 'C_2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 0, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['1520','132280','50979316','307328']", 'igusa_inv': "['760','2020','6076','134340','76832']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '784.b.76832.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3130583414865297840112428792079003392808388504750968261', 'prec': 190}, 'locally_solvable': False, 'modell_images': ['2.45.1', '3.2160.20'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [0, 2], 'num_rat_pts': 0, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '3.7567000978383574081349145505', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 3, 'torsion_order': 6, 'torsion_subgroup': '[6]', 'two_selmer_rank': 1, 'two_torsion_field': ['8.0.3211264.1', [1, -4, 8, -8, 7, -8, 8, -4, 1], [8, 9], False]}
  98. label: 784.c.614656.1
    {'Lhash': '567926432027860049', 'abs_disc': 614656, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[6,2]', 'aut_grp_label': '6.2', 'aut_grp_tex': 'C_6', 'bad_lfactors': '[[2,[1]],[7,[1,4,7]]]', 'bad_primes': [2, 7], 'class': '784.c', 'cond': 784, 'disc_sign': 1, 'end_alg': 'CM', 'eqn': '[[0,-1,-9,-13,-4,1],[]]', 'g2_inv': "['1248318403996/2401','9291226221/4802','-23245787/9604']", 'geom_aut_grp_id': '[12,4]', 'geom_aut_grp_label': '12.4', 'geom_aut_grp_tex': 'D_6', 'geom_end_alg': 'M_2(Q)', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['398','9016','912086','2401']", 'igusa_inv': "['796','2358','-2348','-1857293','614656']", 'is_gl2_type': True, 'is_simple_base': True, 'is_simple_geom': False, 'label': '784.c.614656.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3582178305688400308992259460321820582993327584490888593', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.240.1', '3.5760.7'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 3, 'num_rat_wpts': 3, 'real_geom_end_alg': 'M_2(R)', 'real_period': {'__RealLiteral__': 0, 'data': '5.7314852891014404943876151365', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'E_3', 'st_label': '1.4.E.3.1a', 'st_label_components': [1, 4, 4, 3, 1, 0], 'tamagawa_product': 9, 'torsion_order': 4, 'torsion_subgroup': '[2,2]', 'two_selmer_rank': 2, 'two_torsion_field': ['3.3.49.1', [1, -2, -1, 1], [3, 1], True]}
  99. label: 797.a.797.1
    {'Lhash': '1141445514935970308', 'abs_disc': 797, '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': '[[797,[1,15,811,797]]]', 'bad_primes': [797], 'class': '797.a', 'cond': 797, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,0,0,1,-1,1],[1]]', 'g2_inv': "['248832/797','-141696/797','-78912/797']", '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, 'igusa_clebsch_inv': "['24','528','7608','3188']", 'igusa_inv': "['12','-82','-548','-3325','797']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '797.a.797.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3559385607403319429724872658598941145484758157708627026', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.6.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 7], 'non_solvable_places': [], 'num_rat_pts': 3, 'num_rat_wpts': 1, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '17.440989476276265205651876027', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, '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': 7, 'torsion_subgroup': '[7]', 'two_selmer_rank': 0, 'two_torsion_field': ['5.1.12752.1', [-2, 2, -2, 2, -2, 1], [5, 5], False]}
  100. label: 800.a.1600.1
    {'Lhash': '729779584840653830', 'abs_disc': 1600, '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,[1,0,-1]]]', 'bad_primes': [2, 5], 'class': '800.a', 'cond': 800, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[0,0,-1,0,-1],[1,1,1,1]]', 'g2_inv': "['0','-134456/625','728/25']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['0','84','936','200']", 'igusa_inv': "['0','-56','832','-784','-1600']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '800.a.1600.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.3493781408623526648226620080834791259273550142146377636', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.90.2', '3.2160.21'], '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': '16.770150761392927911487776388', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 3, '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]}