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ec_curvedata • Show schema
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{'Ciso': '1002d', 'Clabel': '1002d2', 'Cnumber': 2, 'abc_quality': 0.910661850473409, 'absD': 669336, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4008, 'ainvs': [1, 0, 1, -125, -544], 'analytic_rank': 1, 'bad_primes': [2, 3, 167], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1002, 'degree': 288, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.014852380212325818361788700364', 'prec': 110}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [213525509833, 669336], 'lmfdb_iso': '1002.d', 'lmfdb_label': '1002.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -125, -544], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.a.1', '668.6.0.?', '4008.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0215020523237754029845499687', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.014852380212325818361788700364', 'prec': 110}, 'szpiro_ratio': 3.775391259738721, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, 2, -1, -4, -1, 1, -2, -4, 1, 0, 4, 2, 1, -4, -1, -4, 2], 'aplist': [-1, 1, 2, -4, -4, 0, -4, -4, -4, -2, 4, -12, 12, -8, 0, 14, 2, -2, -4, 8, 6, -14, 6, -6, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 1002, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1002.d', 'trace_hash': 1298893002068186076}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.0301503479005867378007709865', 'prec': 100}, 'conductor': 1002, 'gens': [[14, 15, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.0215020523237754029845499687', 'prec': 100}], 'lmfdb_label': '1002.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4294563403390751193913743324', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1595526330208743258326432973981224491', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[-25, 21, 2]], 'xcoord_integral_points': [14]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [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, 1, 0], '167': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '1002.d1'}
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ec_torsion_growth • Show schema
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id: 48773
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '1002.d1', 'torsion': [2, 2]}
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id: 48774
{'degree': 4, 'field': [216, 0, -14, 0, 1], 'lmfdb_label': '1002.d1', 'torsion': [4]}
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id: 48777
{'degree': 8, 'field': [-72, -144, 108, 71, -32, -7, 7, -4, 1], 'lmfdb_label': '1002.d1', 'torsion': [6]}
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id: 48776
{'degree': 8, 'field': [324, 0, -3888, 0, 750, 0, -48, 0, 1], 'lmfdb_label': '1002.d1', 'torsion': [2, 4]}
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id: 48775
{'degree': 8, 'field': [28224, 0, 7296, 0, 1012, 0, -52, 0, 1], 'lmfdb_label': '1002.d1', 'torsion': [2, 4]}
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id: 48779
{'degree': 16, 'field': [808488, -659232, 1642140, -1000368, -1766754, 2320920, -141023, -478760, 46116, 40418, -91, -3564, -43, 266, -18, -8, 1], 'lmfdb_label': '1002.d1', 'torsion': [2, 6]}
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id: 48778
{'degree': 16, 'field': [4857532416, 0, 265959936, 0, 273157092, 0, -16235280, 0, -941136, 0, 111120, 0, 5245, 0, 60, 0, 1], 'lmfdb_label': '1002.d1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 13971
{'conductor': 1002, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1002.d1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 13972
{'conductor': 1002, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1002.d1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 13973
{'conductor': 1002, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1002.d1', 'prime': 167, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1670891
{'adelic_gens': [[2, 1, 2003, 0], [1, 2, 2, 5], [1, 4, 0, 1], [4005, 4, 4004, 5], [2674, 1, 2671, 0], [1, 0, 4, 1], [3, 4, 8, 11], [3508, 505, 2505, 1504], [673, 4, 1346, 9]], 'adelic_image': '4008.12.0.?', 'conductor': 1002, 'lmfdb_label': '1002.d1', 'prime': 0}
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id: 4713
{'conductor': 1002, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1002.d1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 22668
{'lmfdb_iso': '1002.d', 'p': 5, 'prec': 20, 'unit': 4756054167474, 'val': 1}
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id: 22669
{'lmfdb_iso': '1002.d', 'p': 7, 'prec': 20, 'unit': 2201335170298976, 'val': 1}
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id: 22675
{'lmfdb_iso': '1002.d', 'p': 11, 'prec': 20, 'unit': 58433569309273133047, 'val': 1}
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id: 22676
{'lmfdb_iso': '1002.d', 'p': 17, 'prec': 20, 'unit': 198889894859709998198323, 'val': 1}
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id: 22677
{'lmfdb_iso': '1002.d', 'p': 19, 'prec': 20, 'unit': 1281213162932163610339378, 'val': 1}
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id: 22680
{'lmfdb_iso': '1002.d', 'p': 23, 'prec': 20, 'unit': 70457951498766384020249686, 'val': 1}
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id: 22673
{'lmfdb_iso': '1002.d', 'p': 29, 'prec': 20, 'unit': 3765585584135114463241007716, 'val': 1}
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id: 22670
{'lmfdb_iso': '1002.d', 'p': 31, 'prec': 20, 'unit': 9422727991932438365154449322, 'val': 1}
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id: 22685
{'lmfdb_iso': '1002.d', 'p': 37, 'prec': 20, 'unit': 414593929610125853213397690423, 'val': 1}
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id: 22671
{'lmfdb_iso': '1002.d', 'p': 41, 'prec': 20, 'unit': 2956838214980793280277137046219, 'val': 1}
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id: 22672
{'lmfdb_iso': '1002.d', 'p': 43, 'prec': 20, 'unit': 5781528455849359108314036349463, 'val': 1}
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id: 22678
{'lmfdb_iso': '1002.d', 'p': 53, 'prec': 20, 'unit': 390692001479860071190363483607502, 'val': 1}
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id: 22683
{'lmfdb_iso': '1002.d', 'p': 59, 'prec': 20, 'unit': 4287053668679190727596191315006778, 'val': 1}
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id: 22684
{'lmfdb_iso': '1002.d', 'p': 61, 'prec': 20, 'unit': 7636733426757800534788293255765111, 'val': 1}
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id: 22667
{'lmfdb_iso': '1002.d', 'p': 67, 'prec': 20, 'unit': 39023667587261814425551863092119402, 'val': 1}
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id: 22682
{'lmfdb_iso': '1002.d', 'p': 71, 'prec': 20, 'unit': 41101422137448666061580674191851404, 'val': 1}
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id: 22679
{'lmfdb_iso': '1002.d', 'p': 73, 'prec': 20, 'unit': 15932194041466191830958473172088030, 'val': 1}
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id: 22674
{'lmfdb_iso': '1002.d', 'p': 79, 'prec': 20, 'unit': 906278019365997294917735540520872224, 'val': 1}
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id: 22666
{'lmfdb_iso': '1002.d', 'p': 83, 'prec': 20, 'unit': 1764949427094216412154917144909808045, 'val': 1}
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id: 22681
{'lmfdb_iso': '1002.d', 'p': 89, 'prec': 20, 'unit': 1972838723664599081848021644748513560, 'val': 1}
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id: 22665
{'lmfdb_iso': '1002.d', 'p': 97, 'prec': 20, 'unit': 28970570681418054786414388297787946732, 'val': 1}