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ec_curvedata • Show schema
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{'Ciso': '2166d', 'Clabel': '2166d2', 'Cnumber': 2, 'abc_quality': 1.0906835364471577, 'absD': 12678161875854336, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [1, 0, 1, -1975400, 1068459446], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2166, 'degree': 43200, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2270851828128421676506480974', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [18120364883707393, 269485056], 'lmfdb_iso': '2166.d', 'lmfdb_label': '2166.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5472, -158079], 'min_quad_twist_disc': -19, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '12.12.0-2.a.1.1', '24.24.0-8.b.1.3', '76.12.0.?', '152.24.0.?', '228.24.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6529356940432728849105670490', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75486569322962193764613438146', 'prec': 103}, 'szpiro_ratio': 7.17420230118709, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, 2, -1, 0, -1, 1, -2, -4, 1, -2, 0, 2, 1, -6, -1, 0, 2], 'aplist': [-1, 1, 2, 0, -4, -2, -6, 0, -4, 2, -4, -10, -10, 4, -4, 10, -12, 14, 12, -8, -6, 4, 12, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 2166, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2166.d', 'trace_hash': 1744524711030919881}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.011629964491639187077423801079', 'prec': 107}, 'conductor': 2166, 'gens': [[777, 1291, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6529356940432728849105670490', 'prec': 100}], 'lmfdb_label': '2166.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.36530210425462468919623544686', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9073689744586323353720425812876811241', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-1623, 811, 1], [809, -405, 1]], 'xcoord_integral_points': [-1623, 777, 809, 1170]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [2, 0], '5': [5, 0], '7': [1, 3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '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': '2166.d2'}
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ec_torsion_growth • Show schema
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id: 109926
{'degree': 4, 'field': [11, -14, 15, -2, 1], 'lmfdb_label': '2166.d2', 'torsion': [2, 4]}
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id: 109925
{'degree': 4, 'field': [16, 0, -11, 0, 1], 'lmfdb_label': '2166.d2', 'torsion': [2, 4]}
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id: 109927
{'degree': 4, 'field': [1444, 0, -38, 0, 1], 'lmfdb_label': '2166.d2', 'torsion': [2, 4]}
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id: 109928
{'degree': 8, 'field': [-2, -139, 118, 41, -17, -7, 7, -4, 1], 'lmfdb_label': '2166.d2', 'torsion': [2, 6]}
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id: 109931
{'degree': 16, 'field': [1936, 0, -12160, 0, 23560, 0, -11040, 0, 4800, 0, -912, 0, 178, 0, -16, 0, 1], 'lmfdb_label': '2166.d2', 'torsion': [2, 8]}
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id: 109930
{'degree': 16, 'field': [2304, 0, -2304, 0, 1668, 0, -2172, 0, 817, 0, 116, 0, -30, 0, -16, 0, 1], 'lmfdb_label': '2166.d2', 'torsion': [2, 8]}
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id: 109932
{'degree': 16, 'field': [65536, 0, 65536, 0, 157696, 0, -100352, 0, 125248, 0, -6272, 0, 616, 0, 16, 0, 1], 'lmfdb_label': '2166.d2', 'torsion': [2, 8]}
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id: 109929
{'degree': 16, 'field': [390625, 0, 0, 0, -19375, 0, 0, 0, 336, 0, 0, 0, -31, 0, 0, 0, 1], 'lmfdb_label': '2166.d2', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 36099
{'conductor': 2166, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '2166.d2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 36100
{'conductor': 2166, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2166.d2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 36101
{'conductor': 2166, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '2166.d2', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1678057
{'adelic_gens': [[1, 0, 4, 1], [305, 4, 154, 9], [231, 2, 454, 455], [1, 4, 0, 1], [117, 2, 448, 451], [453, 4, 452, 5], [359, 452, 262, 447]], 'adelic_image': '456.48.0.?', 'conductor': 2166, 'lmfdb_label': '2166.d2', 'prime': 0}
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id: 10630
{'conductor': 2166, 'elladic_image': '8.12.0.4', 'lmfdb_label': '2166.d2', 'modell_image': '2Cs', 'prime': 2}
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ec_padic • Show schema
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id: 64357
{'lmfdb_iso': '2166.d', 'p': 5, 'prec': 20, 'unit': 1845120547983, 'val': 2}
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id: 64356
{'lmfdb_iso': '2166.d', 'p': 11, 'prec': 20, 'unit': 19179502648880266020, 'val': 1}
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id: 64363
{'lmfdb_iso': '2166.d', 'p': 13, 'prec': 20, 'unit': 720284521298637546474, 'val': 1}
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id: 64365
{'lmfdb_iso': '2166.d', 'p': 17, 'prec': 20, 'unit': 111647619674621177563810, 'val': 1}
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id: 64370
{'lmfdb_iso': '2166.d', 'p': 23, 'prec': 20, 'unit': 67294819293102234786886639, 'val': 1}
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id: 64362
{'lmfdb_iso': '2166.d', 'p': 29, 'prec': 20, 'unit': 5268872030199409359510696337, 'val': 1}
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id: 64359
{'lmfdb_iso': '2166.d', 'p': 31, 'prec': 20, 'unit': 1676799784818755527753117054, 'val': 1}
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id: 64374
{'lmfdb_iso': '2166.d', 'p': 37, 'prec': 20, 'unit': 288896301239578572736962100808, 'val': 1}
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id: 64360
{'lmfdb_iso': '2166.d', 'p': 41, 'prec': 20, 'unit': 3493249499503588806318593658160, 'val': 1}
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id: 64361
{'lmfdb_iso': '2166.d', 'p': 43, 'prec': 20, 'unit': 554598583855198524661432548899, 'val': 1}
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id: 64372
{'lmfdb_iso': '2166.d', 'p': 47, 'prec': 20, 'unit': 31037264091411712510036207917469, 'val': 1}
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id: 64367
{'lmfdb_iso': '2166.d', 'p': 53, 'prec': 20, 'unit': 205635864390494234858762679260567, 'val': 1}
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id: 64368
{'lmfdb_iso': '2166.d', 'p': 59, 'prec': 20, 'unit': 748926868237073915967156563261569, 'val': 1}
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id: 64373
{'lmfdb_iso': '2166.d', 'p': 61, 'prec': 20, 'unit': 4646354150277654463415290605807610, 'val': 1}
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id: 64366
{'lmfdb_iso': '2166.d', 'p': 67, 'prec': 20, 'unit': 10349486448995502574627582555338614, 'val': 1}
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id: 64358
{'lmfdb_iso': '2166.d', 'p': 71, 'prec': 20, 'unit': 39460190165103121285529923613111415, 'val': 1}
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id: 64369
{'lmfdb_iso': '2166.d', 'p': 73, 'prec': 20, 'unit': 177966102932936903114318652668744703, 'val': 1}
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id: 64364
{'lmfdb_iso': '2166.d', 'p': 79, 'prec': 20, 'unit': 437390400916202018455199748284445342, 'val': 1}
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id: 64355
{'lmfdb_iso': '2166.d', 'p': 83, 'prec': 20, 'unit': 2626346368209271181701402629526699558, 'val': 1}
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id: 64371
{'lmfdb_iso': '2166.d', 'p': 89, 'prec': 20, 'unit': 9202887893551190563912883195996362707, 'val': 1}
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id: 64354
{'lmfdb_iso': '2166.d', 'p': 97, 'prec': 20, 'unit': 4151270167379794431481808894095945254, 'val': 1}