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ec_curvedata • Show schema
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{'Ciso': '55470c', 'Clabel': '55470c1', 'Cnumber': 1, 'abc_quality': 0.9917652285848838, 'absD': 214008228896763240000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1032, 'ainvs': [1, 1, 0, -32479572, -71256562416], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 55470, 'degree': 5322240, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9655024960475899016029636153', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [599437478278595809, 33854760000], 'lmfdb_iso': '55470.d', 'lmfdb_label': '55470.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -17566, 894596], 'min_quad_twist_disc': -43, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.3', '8.6.0.d.1', '24.48.0-24.bx.1.6', '129.8.0.?', '258.48.0.?', '1032.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.517976089058369045941320674', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0849024382008086898665423586', 'prec': 100}, 'szpiro_ratio': 5.8132834087979175, '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, 1, 1, -2, -1, 1, -1, 0, -1, 2, 2, -1, 1, -6, -1, -8, 1], 'aplist': [-1, -1, 1, -2, 0, 2, -6, -8, 6, 6, -4, -8, 6, 0, 6, -12, 0, 4, -4, 0, 10, 8, 0, -6, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 55470, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '55470.d', 'trace_hash': 226921363790034754}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0026558115774883475459523774178', 'prec': 110}, 'conductor': 55470, 'gens': [[2027672, 2459195172, 13]], 'heights': [{'__RealLiteral__': 0, 'data': '12.517976089058369045941320674', 'prec': 100}], 'lmfdb_label': '55470.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.063240959464993996910789010233', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1665952737276176013047285174350560324', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-3272, 1636, 1]], 'xcoord_integral_points': [-3272]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': 'a', '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '55470.d2'}
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ec_torsion_growth • Show schema
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id: 2679292
{'degree': 2, 'field': [-32, -1, 1], 'lmfdb_label': '55470.d2', 'torsion': [2, 2]}
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id: 2679293
{'degree': 2, 'field': [11, -1, 1], 'lmfdb_label': '55470.d2', 'torsion': [6]}
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id: 2679294
{'degree': 4, 'field': [11, 2, -3, -2, 1], 'lmfdb_label': '55470.d2', 'torsion': [4]}
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id: 2679295
{'degree': 4, 'field': [121, -11, -10, -1, 1], 'lmfdb_label': '55470.d2', 'torsion': [2, 6]}
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id: 2679296
{'degree': 6, 'field': [-1550, 325, -335, 19, -7, -3, 1], 'lmfdb_label': '55470.d2', 'torsion': [2, 6]}
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id: 2679297
{'degree': 8, 'field': [-51620, 8936, 12803, -3910, -518, 352, -40, -2, 1], 'lmfdb_label': '55470.d2', 'torsion': [2, 4]}
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id: 2679299
{'degree': 8, 'field': [281, -262, 317, -278, 124, -50, 13, -2, 1], 'lmfdb_label': '55470.d2', 'torsion': [12]}
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id: 2679298
{'degree': 8, 'field': [576, 0, 696, 0, 97, 0, -14, 0, 1], 'lmfdb_label': '55470.d2', 'torsion': [2, 4]}
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id: 2679300
{'degree': 12, 'field': [2402500, -503750, -413625, -49975, 95200, 2835, -4109, -1818, 441, -17, 16, -3, 1], 'lmfdb_label': '55470.d2', 'torsion': [6, 6]}
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id: 2679303
{'degree': 16, 'field': [78961, -73622, -20433, 73182, -7191, -37200, 32182, -6740, -1878, 132, 966, -432, -55, 74, -9, -2, 1], 'lmfdb_label': '55470.d2', 'torsion': [2, 12]}
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id: 2679302
{'degree': 16, 'field': [84100, 0, 214008, 0, 190393, 0, 87048, 0, 16368, 0, 54, 0, -44, 0, 24, 0, 1], 'lmfdb_label': '55470.d2', 'torsion': [2, 12]}
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id: 2679301
{'degree': 16, 'field': [11592269825, 1434668600, 3818228240, 213861360, 441001456, -45293832, 45434960, -7649440, 2678750, -300792, 88912, -5328, 5216, -184, 80, 0, 1], 'lmfdb_label': '55470.d2', 'torsion': [8]}
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id: 2679304
{'degree': 18, 'field': [4306822864, -2910350400, 2128027008, -105825680, 1896346776, 167902920, 74559984, 5424348, 9659904, -928968, 70026, -66594, 19467, -3375, 30, -265, 30, -3, 1], 'lmfdb_label': '55470.d2', 'torsion': [18]}
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ec_localdata • Show schema
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id: 1333050
{'conductor': 55470, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '55470.d2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1333051
{'conductor': 55470, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '55470.d2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1333052
{'conductor': 55470, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '55470.d2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 1333053
{'conductor': 55470, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '55470.d2', 'prime': 43, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2032590
{'adelic_gens': [[11, 2, 982, 1023], [1, 0, 12, 1], [1021, 12, 1020, 13], [1, 6, 6, 37], [866, 11, 333, 1012], [735, 562, 494, 317], [1, 12, 0, 1], [517, 12, 6, 73], [830, 1029, 339, 8]], 'adelic_image': '1032.96.1.?', 'conductor': 55470, 'lmfdb_label': '55470.d2', 'prime': 0}
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id: 236285
{'conductor': 55470, 'elladic_image': '8.6.0.4', 'lmfdb_label': '55470.d2', 'modell_image': '2B', 'prime': 2}
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id: 236286
{'conductor': 55470, 'elladic_image': '3.4.0.1', 'lmfdb_label': '55470.d2', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 2805937
{'lmfdb_iso': '55470.d', 'p': 7, 'prec': 20, 'unit': 9737446127842413, 'val': 1}
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id: 2805941
{'lmfdb_iso': '55470.d', 'p': 13, 'prec': 20, 'unit': 618112664810718174485, 'val': 1}
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id: 2805943
{'lmfdb_iso': '55470.d', 'p': 17, 'prec': 20, 'unit': 239065313982788166721023, 'val': 1}
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id: 2805944
{'lmfdb_iso': '55470.d', 'p': 19, 'prec': 20, 'unit': 1737748188609677826681958, 'val': 1}
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id: 2805939
{'lmfdb_iso': '55470.d', 'p': 23, 'prec': 20, 'unit': 18839787686372303593924819, 'val': 1}
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id: 2805940
{'lmfdb_iso': '55470.d', 'p': 29, 'prec': 20, 'unit': 372224932846471185729360359, 'val': 1}
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id: 2805950
{'lmfdb_iso': '55470.d', 'p': 31, 'prec': 20, 'unit': 2665679509782437297685092992, 'val': 1}
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id: 2805936
{'lmfdb_iso': '55470.d', 'p': 37, 'prec': 20, 'unit': 338910757125170860222031162203, 'val': 1}
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id: 2805938
{'lmfdb_iso': '55470.d', 'p': 41, 'prec': 20, 'unit': 2799368715127084739727143850356, 'val': 1}
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id: 2805942
{'lmfdb_iso': '55470.d', 'p': 47, 'prec': 20, 'unit': 43217775197481091038694873112783, 'val': 1}
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id: 2805945
{'lmfdb_iso': '55470.d', 'p': 53, 'prec': 20, 'unit': 9956166396650821751586333742114, 'val': 2}
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id: 2805949
{'lmfdb_iso': '55470.d', 'p': 61, 'prec': 20, 'unit': 2826788375682207044429475674766039, 'val': 1}
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id: 2805935
{'lmfdb_iso': '55470.d', 'p': 67, 'prec': 20, 'unit': 14964159653225692738793805133764540, 'val': 1}
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id: 2805946
{'lmfdb_iso': '55470.d', 'p': 73, 'prec': 20, 'unit': 89643424861985571275389952055699273, 'val': 1}
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id: 2805948
{'lmfdb_iso': '55470.d', 'p': 79, 'prec': 20, 'unit': 27479332085959494996455424860121313, 'val': 1}
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id: 2805947
{'lmfdb_iso': '55470.d', 'p': 89, 'prec': 20, 'unit': 6989077826137892007753167289569356845, 'val': 1}
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id: 2805934
{'lmfdb_iso': '55470.d', 'p': 97, 'prec': 20, 'unit': 32384700011619259898560807674330993491, 'val': 1}