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ec_curvedata • Show schema
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{'Ciso': '10005e', 'Clabel': '10005e2', 'Cnumber': 2, 'abc_quality': 0.951933915309971, 'absD': 62562515625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 40020, 'ainvs': [1, 1, 1, -83375, -9300940], 'analytic_rank': 1, 'bad_primes': [3, 5, 23, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10005, 'degree': 24576, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3654252179584671939346811816', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [64096096056024006001, 62562515625], 'lmfdb_iso': '10005.d', 'lmfdb_label': '10005.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -83375, -9300940], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '20.24.0-20.a.1.2', '8004.24.0.?', '40020.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2812330180394488795053836893', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3654252179584671939346811816', 'prec': 100}, 'szpiro_ratio': 4.951439163953425, '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, 1, 1, 0, 3, 1, -1, 0, 1, 6, 0, -1, -1, 6, -1, -4, -1], 'aplist': [-1, -1, 1, 0, 0, 6, 6, -4, -1, 1, 4, -2, -6, -4, 0, -2, -8, -2, -12, -12, 6, -8, -4, 2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 10005, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '10005.d', 'trace_hash': 467944737219195427}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.065163848419672733489629610773', 'prec': 107}, 'conductor': 10005, 'gens': [[678, 15358, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.2812330180394488795053836893', 'prec': 100}], 'lmfdb_label': '10005.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.28095747504319079485038159011', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7656608313301362091475563662654252499', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-167, 83, 1], [333, -167, 1]], 'xcoord_integral_points': [-167, 333, 678, 1058]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 1], '3': [1, 0], '5': [2, 0], '7': [1, 1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [2, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '10005.d2'}
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ec_torsion_growth • Show schema
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id: 518968
{'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '10005.d2', 'torsion': [2, 4]}
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id: 518969
{'degree': 4, 'field': [249001, 0, -1003, 0, 1], 'lmfdb_label': '10005.d2', 'torsion': [2, 4]}
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id: 518970
{'degree': 4, 'field': [250000, 0, 1001, 0, 1], 'lmfdb_label': '10005.d2', 'torsion': [2, 4]}
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id: 518973
{'degree': 8, 'field': [125, -500, 500, -1, 4, -7, 7, -4, 1], 'lmfdb_label': '10005.d2', 'torsion': [2, 6]}
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id: 518972
{'degree': 8, 'field': [32405, 80, -120, 80, -39, -4, 6, -4, 1], 'lmfdb_label': '10005.d2', 'torsion': [2, 8]}
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id: 518971
{'degree': 8, 'field': [63253505005, 501505990, -500008976, -2992034, 1491033, 5978, -1988, -4, 1], 'lmfdb_label': '10005.d2', 'torsion': [4, 4]}
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id: 518975
{'degree': 16, 'field': [4004001, -32032008, 128128032, -320320080, 544560144, -640736208, 512768256, -256688280, 64572286, -432280, 256256, -96208, 16144, -80, 32, -8, 1], 'lmfdb_label': '10005.d2', 'torsion': [2, 8]}
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id: 518976
{'degree': 16, 'field': [6520125, -12456000, 14763950, -4427350, 1732040, 597580, -203789, -54728, 92700, -61860, 22173, -6152, 1723, -350, 70, -8, 1], 'lmfdb_label': '10005.d2', 'torsion': [2, 12]}
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id: 518974
{'degree': 16, 'field': [212263574416, -6018518352, 7139010680, -1482656200, -1096339720, 2043606984, -415586398, -220244220, 45754975, 6238080, -1278878, 13516, 720, -1400, 220, -8, 1], 'lmfdb_label': '10005.d2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 211514
{'conductor': 10005, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10005.d2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 211515
{'conductor': 10005, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '10005.d2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 211516
{'conductor': 10005, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10005.d2', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 211517
{'conductor': 10005, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10005.d2', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1730129
{'adelic_gens': [[1, 0, 4, 1], [20011, 4, 0, 1], [32017, 2, 0, 1], [1, 4, 0, 1], [40017, 4, 40016, 5], [17403, 2, 1738, 40019], [3, 2, 26678, 40019], [9663, 2, 6898, 40019]], 'adelic_image': '40020.48.0.?', 'conductor': 10005, 'lmfdb_label': '10005.d2', 'prime': 0}
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id: 48325
{'conductor': 10005, 'elladic_image': '4.12.0.1', 'lmfdb_label': '10005.d2', 'modell_image': '2Cs', 'prime': 2}
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ec_padic • Show schema
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id: 422202
{'lmfdb_iso': '10005.d', 'p': 13, 'prec': 20, 'unit': 296435047931537350223, 'val': 1}
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id: 422204
{'lmfdb_iso': '10005.d', 'p': 17, 'prec': 20, 'unit': 182943984754657267905580, 'val': 1}
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id: 422195
{'lmfdb_iso': '10005.d', 'p': 19, 'prec': 20, 'unit': 1656333212444889218086530, 'val': 1}
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id: 422211
{'lmfdb_iso': '10005.d', 'p': 31, 'prec': 20, 'unit': 20014233043404810725207344093, 'val': 1}
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id: 422198
{'lmfdb_iso': '10005.d', 'p': 37, 'prec': 20, 'unit': 149260040952581430643039621958, 'val': 1}
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id: 422200
{'lmfdb_iso': '10005.d', 'p': 41, 'prec': 20, 'unit': 3654649706141106797838480900230, 'val': 1}
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id: 422201
{'lmfdb_iso': '10005.d', 'p': 43, 'prec': 20, 'unit': 6657513205688593556502295652624, 'val': 1}
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id: 422206
{'lmfdb_iso': '10005.d', 'p': 53, 'prec': 20, 'unit': 354865285779056238147235604095896, 'val': 1}
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id: 422209
{'lmfdb_iso': '10005.d', 'p': 59, 'prec': 20, 'unit': 2079878015854451637101911017275190, 'val': 1}
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id: 422210
{'lmfdb_iso': '10005.d', 'p': 61, 'prec': 20, 'unit': 6968848389003589626530205086500374, 'val': 1}
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id: 422197
{'lmfdb_iso': '10005.d', 'p': 67, 'prec': 20, 'unit': 11685335687392801098012109907838856, 'val': 1}
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id: 422199
{'lmfdb_iso': '10005.d', 'p': 71, 'prec': 20, 'unit': 50088418426281824234075543332170678, 'val': 1}
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id: 422207
{'lmfdb_iso': '10005.d', 'p': 73, 'prec': 20, 'unit': 222384218866879445740894486052956221, 'val': 1}
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id: 422203
{'lmfdb_iso': '10005.d', 'p': 79, 'prec': 20, 'unit': 691701039410672961054367085217861179, 'val': 1}
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id: 422205
{'lmfdb_iso': '10005.d', 'p': 83, 'prec': 20, 'unit': 70181630178847113888750167922230521, 'val': 1}
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id: 422208
{'lmfdb_iso': '10005.d', 'p': 89, 'prec': 20, 'unit': 9002955687434863979090743533201268233, 'val': 1}
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id: 422196
{'lmfdb_iso': '10005.d', 'p': 97, 'prec': 20, 'unit': 40353475977926996688395040881973115389, 'val': 1}