-
ec_curvedata • Show schema
Hide schema
{'Ciso': '16800bb', 'Clabel': '16800bb1', 'Cnumber': 1, 'abc_quality': 1.075065446591887, 'absD': 168000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, 1, 0, -138, -672], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 16800, 'degree': 4096, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.051343360613306563001798946753', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2], 'jinv': [36594368, 21], 'lmfdb_iso': '16800.bq', 'lmfdb_label': '16800.bq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -138, 672], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.b.1', '84.6.0.?', '210.6.0.?', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4005098225000904410592886679', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80027642900180431136060484079', 'prec': 107}, 'szpiro_ratio': 2.7137668448782675, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 6, 0, -6, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, 1, 0, -1, 6, -6, 0, 2, 8, -10, 2, -8, -6, -12, 8, -10, 4, -2, -8, 10, -6, -8, 0, 6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 16800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '16800.bq', 'trace_hash': 1452646362128319121}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '1.1081441966370452255393885840', 'prec': 100}, 'conductor': 16800, 'gens': [[53, 9, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '4.4005098225000904410592886679', 'prec': 100}], 'lmfdb_label': '16800.bq1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.3921396503308072417584436911', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1261242055725585482968173088887442091', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-7, 0, 1]], 'xcoord_integral_points': [-7]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': [6, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '16800.bq1'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 861124
{'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '16800.bq1', 'torsion': [2, 2]}
-
id: 861125
{'degree': 4, 'field': [16, -8, 14, -2, 1], 'lmfdb_label': '16800.bq1', 'torsion': [4]}
-
id: 861128
{'degree': 8, 'field': [-51379, -5936, 11342, 972, -1020, -12, 22, -4, 1], 'lmfdb_label': '16800.bq1', 'torsion': [6]}
-
id: 861126
{'degree': 8, 'field': [196, 0, 329, 0, 51, 0, -1, 0, 1], 'lmfdb_label': '16800.bq1', 'torsion': [2, 4]}
-
id: 861127
{'degree': 8, 'field': [15876, 0, -7938, 0, 1029, 0, -42, 0, 1], 'lmfdb_label': '16800.bq1', 'torsion': [2, 4]}
-
id: 861130
{'degree': 16, 'field': [5625, 0, -10020000, 0, -1167500, 0, -24000, 0, -503250, 0, -68000, 0, -2460, 0, 0, 0, 1], 'lmfdb_label': '16800.bq1', 'torsion': [2, 6]}
-
id: 861129
{'degree': 16, 'field': [1927241, -2072352, 3101432, 1430712, 1685152, 173440, -51192, -140904, -15110, -20896, 8248, -1960, 1312, -192, 72, -8, 1], 'lmfdb_label': '16800.bq1', 'torsion': [8]}
-
ec_localdata • Show schema
Hide schema
-
id: 374073
{'conductor': 16800, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '16800.bq1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
-
id: 374074
{'conductor': 16800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '16800.bq1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
-
id: 374075
{'conductor': 16800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '16800.bq1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
-
id: 374076
{'conductor': 16800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '16800.bq1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 1775910
{'adelic_gens': [[109, 316, 104, 315], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [62, 1, 179, 0], [417, 4, 416, 5], [142, 1, 139, 0], [88, 1, 83, 0]], 'adelic_image': '420.12.0.?', 'conductor': 16800, 'lmfdb_label': '16800.bq1', 'prime': 0}
-
id: 78841
{'conductor': 16800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '16800.bq1', 'modell_image': '2B', 'prime': 2}
-
ec_padic • Show schema
Hide schema
-
id: 764491
{'lmfdb_iso': '16800.bq', 'p': 11, 'prec': 20, 'unit': 4300253931594353208, 'val': 1}
-
id: 764497
{'lmfdb_iso': '16800.bq', 'p': 13, 'prec': 20, 'unit': 1082860598332386377937, 'val': 1}
-
id: 764500
{'lmfdb_iso': '16800.bq', 'p': 19, 'prec': 20, 'unit': 771301736802361312262378, 'val': 1}
-
id: 764503
{'lmfdb_iso': '16800.bq', 'p': 23, 'prec': 20, 'unit': 44714886910419271156912663, 'val': 1}
-
id: 764496
{'lmfdb_iso': '16800.bq', 'p': 29, 'prec': 20, 'unit': 5229166039735219335201465547, 'val': 1}
-
id: 764507
{'lmfdb_iso': '16800.bq', 'p': 31, 'prec': 20, 'unit': 18588241061330922840476714318, 'val': 1}
-
id: 764492
{'lmfdb_iso': '16800.bq', 'p': 37, 'prec': 20, 'unit': 52762560415034261975576167088, 'val': 1}
-
id: 764494
{'lmfdb_iso': '16800.bq', 'p': 41, 'prec': 20, 'unit': 4255704976936094185611156880008, 'val': 1}
-
id: 764495
{'lmfdb_iso': '16800.bq', 'p': 43, 'prec': 20, 'unit': 6487225823088294946206700694268, 'val': 1}
-
id: 764505
{'lmfdb_iso': '16800.bq', 'p': 47, 'prec': 20, 'unit': 24923996161267578346448199710588, 'val': 1}
-
id: 764501
{'lmfdb_iso': '16800.bq', 'p': 53, 'prec': 20, 'unit': 455761075251984218622892083827544, 'val': 1}
-
id: 764499
{'lmfdb_iso': '16800.bq', 'p': 59, 'prec': 20, 'unit': 2552540139189877553134342354210234, 'val': 1}
-
id: 764506
{'lmfdb_iso': '16800.bq', 'p': 61, 'prec': 20, 'unit': 364241929686488671619333058704159, 'val': 1}
-
id: 764490
{'lmfdb_iso': '16800.bq', 'p': 67, 'prec': 20, 'unit': 17599420769619578263651752187850686, 'val': 1}
-
id: 764493
{'lmfdb_iso': '16800.bq', 'p': 71, 'prec': 20, 'unit': 51701187960395208921483649183908294, 'val': 1}
-
id: 764502
{'lmfdb_iso': '16800.bq', 'p': 73, 'prec': 20, 'unit': 60667183917836848595851887548379698, 'val': 1}
-
id: 764498
{'lmfdb_iso': '16800.bq', 'p': 79, 'prec': 20, 'unit': 479216421738351674956483803279012214, 'val': 1}
-
id: 764504
{'lmfdb_iso': '16800.bq', 'p': 89, 'prec': 20, 'unit': 1786867593584494953601870543991885496, 'val': 1}
-
id: 764489
{'lmfdb_iso': '16800.bq', 'p': 97, 'prec': 20, 'unit': 7244392575132367129105426807461587506, 'val': 1}