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ec_curvedata • Show schema
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{'Ciso': '5184bf', 'Clabel': '5184bf1', 'Cnumber': 1, 'abc_quality': 0.7737056144690831, 'absD': 746496, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 72, 'ainvs': [0, 0, 0, -36, -72], 'analytic_rank': 1, 'bad_primes': [2, 3], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 5184, 'degree': 576, 'elladic_images': ['2.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.14777931142067177589458870859', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1, 3], 'jinv': [6912, 1], 'lmfdb_iso': '5184.bb', 'lmfdb_label': '5184.bb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -9, 9], 'min_quad_twist_disc': -8, 'modell_images': ['2Cn', '3B'], 'modm_images': ['2.2.0.a.1', '3.4.0.a.1', '6.8.0.a.1', '12.16.0.a.1', '18.24.0.a.1', '24.32.0-12.a.1.2', '36.48.2.a.2', '72.96.2.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.77647202194521929788154360611', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2747081062213477127732380949', 'prec': 103}, 'szpiro_ratio': 2.614672179884525, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 3, 0, 1, 0, 0, 0, -3, 0, 1, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, 3, 1, -3, 1, -6, -4, -3, 3, -5, -2, -3, -1, -9, -6, 3, 13, -7, -12, -10, -11, 9, -6, 11], 'class_deg': 3, 'class_size': 2, 'conductor': 5184, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '5184.bb', 'trace_hash': 665312304462153149}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.3438768693557338116707905530', 'prec': 100}, 'conductor': 5184, 'gens': [[-3, 3, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.77647202194521929788154360611', 'prec': 103}], 'lmfdb_label': '5184.bb2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.9678686646915227520178672539', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5839848829869963511688213339222380511', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': [-3]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [3, 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': '5184.bb2'}
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ec_torsion_growth • Show schema
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id: 271125
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '5184.bb2', 'torsion': [3]}
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id: 271126
{'degree': 3, 'field': [-1, -3, 0, 1], 'lmfdb_label': '5184.bb2', 'torsion': [2, 2]}
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id: 271127
{'degree': 6, 'field': [-6, 0, 12, 0, -6, 0, 1], 'lmfdb_label': '5184.bb2', 'torsion': [3]}
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id: 271128
{'degree': 6, 'field': [8, 0, 36, 0, 12, 0, 1], 'lmfdb_label': '5184.bb2', 'torsion': [2, 6]}
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id: 271130
{'degree': 12, 'field': [4, 0, -24, 0, 60, 0, -44, 0, 0, 0, 6, 0, 1], 'lmfdb_label': '5184.bb2', 'torsion': [3, 3]}
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id: 271129
{'degree': 12, 'field': [9, 0, 54, 0, 18, 0, -36, 0, -27, 0, 0, 0, 1], 'lmfdb_label': '5184.bb2', 'torsion': [2, 4]}
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id: 271132
{'degree': 18, 'field': [-24, 0, 144, 0, -360, 0, 516, 0, -432, 0, 180, 0, -12, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '5184.bb2', 'torsion': [2, 6]}
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id: 271131
{'degree': 18, 'field': [200, 0, 2016, 0, -2952, 0, 1380, 0, 1296, 0, -504, 0, 348, 0, -72, 0, 0, 0, 1], 'lmfdb_label': '5184.bb2', 'torsion': [9]}
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ec_localdata • Show schema
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id: 100951
{'conductor': 5184, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '5184.bb2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 100952
{'conductor': 5184, 'conductor_valuation': 4, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '5184.bb2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1697804
{'adelic_gens': [[35, 0, 0, 71], [67, 70, 38, 51], [19, 12, 0, 1], [61, 12, 60, 13], [8, 5, 27, 25], [47, 60, 48, 59], [5, 2, 34, 57], [1, 0, 12, 1], [1, 12, 0, 1], [7, 12, 6, 31]], 'adelic_image': '72.96.2.?', 'conductor': 5184, 'lmfdb_label': '5184.bb2', 'prime': 0}
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id: 25680
{'conductor': 5184, 'elladic_image': '2.2.0.1', 'lmfdb_label': '5184.bb2', 'modell_image': '2Cn', 'prime': 2}
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id: 25681
{'conductor': 5184, 'elladic_image': '3.4.0.1', 'lmfdb_label': '5184.bb2', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 192316
{'lmfdb_iso': '5184.bb', 'p': 5, 'prec': 20, 'unit': 4238240540316, 'val': 1}
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id: 192317
{'lmfdb_iso': '5184.bb', 'p': 7, 'prec': 20, 'unit': 32610855639779240, 'val': -1}
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id: 192318
{'lmfdb_iso': '5184.bb', 'p': 11, 'prec': 20, 'unit': 22383013930623026601, 'val': 1}
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id: 192319
{'lmfdb_iso': '5184.bb', 'p': 13, 'prec': 20, 'unit': 17877845380955939872119, 'val': -1}
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id: 192320
{'lmfdb_iso': '5184.bb', 'p': 17, 'prec': 20, 'unit': 13177915195977001934204, 'val': 2}
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id: 192321
{'lmfdb_iso': '5184.bb', 'p': 19, 'prec': 20, 'unit': 1233432789729131989587005, 'val': 1}
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id: 192322
{'lmfdb_iso': '5184.bb', 'p': 23, 'prec': 20, 'unit': 53635779373625170058596019, 'val': 1}
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id: 192323
{'lmfdb_iso': '5184.bb', 'p': 29, 'prec': 20, 'unit': 4598181930509922672955663700, 'val': 1}
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id: 192324
{'lmfdb_iso': '5184.bb', 'p': 31, 'prec': 20, 'unit': 2552017849642171618035418932, 'val': 1}
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id: 192325
{'lmfdb_iso': '5184.bb', 'p': 37, 'prec': 20, 'unit': 216943037639934834202390800493, 'val': 1}
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id: 192326
{'lmfdb_iso': '5184.bb', 'p': 41, 'prec': 20, 'unit': 818604456142444154950041262013, 'val': 1}
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id: 192327
{'lmfdb_iso': '5184.bb', 'p': 43, 'prec': 20, 'unit': 9887486039633724215913439279124, 'val': 1}
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id: 192328
{'lmfdb_iso': '5184.bb', 'p': 47, 'prec': 20, 'unit': 47993030893959018753327499951553, 'val': 1}
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id: 192329
{'lmfdb_iso': '5184.bb', 'p': 53, 'prec': 20, 'unit': 351835006436298301664538748010461, 'val': 1}
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id: 192330
{'lmfdb_iso': '5184.bb', 'p': 59, 'prec': 20, 'unit': 4144682504121319445397543905199867, 'val': 1}
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id: 192331
{'lmfdb_iso': '5184.bb', 'p': 61, 'prec': 20, 'unit': 6003147211299058936300157479550226, 'val': 1}
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id: 192332
{'lmfdb_iso': '5184.bb', 'p': 67, 'prec': 20, 'unit': 45516639795487124192249602522628796, 'val': 1}
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id: 192333
{'lmfdb_iso': '5184.bb', 'p': 71, 'prec': 20, 'unit': 76223872198590543318156873791170736, 'val': 1}
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id: 192334
{'lmfdb_iso': '5184.bb', 'p': 73, 'prec': 20, 'unit': 222925862582936984486540740254164267, 'val': 1}
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id: 192335
{'lmfdb_iso': '5184.bb', 'p': 79, 'prec': 20, 'unit': 996078813097334411521970159143964211, 'val': 1}
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id: 192336
{'lmfdb_iso': '5184.bb', 'p': 83, 'prec': 20, 'unit': 1694993061893366464112682651531677227, 'val': 1}
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id: 192337
{'lmfdb_iso': '5184.bb', 'p': 89, 'prec': 20, 'unit': 8315750913678960769980640915452242500, 'val': 1}
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id: 192338
{'lmfdb_iso': '5184.bb', 'p': 97, 'prec': 20, 'unit': 50396815231676338997274550829454582550, 'val': 1}