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ec_curvedata • Show schema
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{'Ciso': '74529s', 'Clabel': '74529s2', 'Cnumber': 2, 'abc_quality': 1.1065612579773034, 'absD': 162994923, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 1638, 'ainvs': [0, 0, 1, -223860, -40767386], 'analytic_rank': 1, 'bad_primes': [3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 74529, 'degree': 191808, 'elladic_images': ['9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4336442539538191445284300026', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 15, 'isogeny_degrees': [1, 3], 'jinv': [-205514702848000, 27], 'lmfdb_iso': '74529.p', 'lmfdb_label': '74529.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -24873, 1518194], 'min_quad_twist_disc': -3, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '9.12.0.b.1', '18.24.0.d.1', '273.8.0.?', '546.16.0.?', '819.72.0.?', '1638.144.2.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.5854754643846208438640054126', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13252819186695595863766735331', 'prec': 103}, 'szpiro_ratio': 4.329278514331044, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 4, -6, 0, -1, 0], 'aplist': [0, 0, 0, 0, -6, 0, -6, -1, 6, -6, 5, 1, 0, -4, -6, -6, 0, 13, 13, -12, -10, -1, 6, -6, 5], 'class_deg': 3, 'class_size': 2, 'conductor': 74529, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '74529.p', 'trace_hash': 2144449119907560395}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.056852873890049889413336431972', 'prec': 107}, 'conductor': 74529, 'gens': [[9097, 253957, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '7.5854754643846208438640054126', 'prec': 100}], 'lmfdb_label': '74529.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10974264774702644192256802351', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3298006475266930557887693307823345564', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 's?', '3': 'a', '5': [1, 3, 0], '7': 'a', '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '74529.p1'}
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ec_torsion_growth • Show schema
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id: 3527638
{'degree': 2, 'field': [23, -1, 1], 'lmfdb_label': '74529.p1', 'torsion': [3]}
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id: 3527639
{'degree': 3, 'field': [-27, 61, -1, 1], 'lmfdb_label': '74529.p1', 'torsion': [2]}
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id: 3527641
{'degree': 6, 'field': [-482, -131, 109, 43, -19, -3, 1], 'lmfdb_label': '74529.p1', 'torsion': [3]}
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id: 3527640
{'degree': 6, 'field': [729, -1647, 3694, -7, -60, -1, 1], 'lmfdb_label': '74529.p1', 'torsion': [2, 2]}
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id: 3527642
{'degree': 6, 'field': [9801, -1485, 1072, -113, 8, -1, 1], 'lmfdb_label': '74529.p1', 'torsion': [6]}
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id: 3527643
{'degree': 12, 'field': [-225837639, -13694346, 73436736, -28150286, 7115435, -810636, 39024, 23612, -3789, 430, 16, -6, 1], 'lmfdb_label': '74529.p1', 'torsion': [4]}
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id: 3527644
{'degree': 12, 'field': [8464, -552, -1344, 3590, -1275, -672, 323, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '74529.p1', 'torsion': [3, 3]}
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id: 3527645
{'degree': 12, 'field': [96059601, -14554485, -8301447, 623106, 902971, -107177, 22310, -245, -1121, 218, -7, -1, 1], 'lmfdb_label': '74529.p1', 'torsion': [2, 6]}
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id: 3527647
{'degree': 18, 'field': [144600, 348000, 549148, 464342, 105830, -136444, -154021, -92798, 41925, -17852, 5730, -3286, 623, 238, 114, -10, 3, -6, 1], 'lmfdb_label': '74529.p1', 'torsion': [6]}
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id: 3527646
{'degree': 18, 'field': [5998805513, 0, 0, -654973890, 0, 0, 35751123, 0, 0, -1029344, 0, 0, 17154, 0, 0, -114, 0, 0, 1], 'lmfdb_label': '74529.p1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 1810019
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '74529.p1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1810020
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '74529.p1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1810021
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '74529.p1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2156456
{'adelic_gens': [[1, 18, 12, 217], [1628, 1629, 9, 736], [1, 18, 0, 1], [1621, 18, 1620, 19], [10, 9, 81, 73], [13, 12, 1574, 1579], [1, 0, 18, 1], [893, 18, 846, 1373], [239, 18, 576, 389]], 'adelic_image': '1638.144.2.?', 'conductor': 74529, 'lmfdb_label': '74529.p1', 'prime': 0}
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id: 308377
{'conductor': 74529, 'elladic_image': '9.12.0.2', 'lmfdb_label': '74529.p1', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 3830343
{'lmfdb_iso': '74529.p', 'p': 11, 'prec': 20, 'unit': 53122376374263250752, 'val': 1}
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id: 3830344
{'lmfdb_iso': '74529.p', 'p': 17, 'prec': 20, 'unit': 206716954378691511009426, 'val': 1}
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id: 3830345
{'lmfdb_iso': '74529.p', 'p': 19, 'prec': 20, 'unit': 1225378778740351838299740, 'val': 1}
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id: 3830347
{'lmfdb_iso': '74529.p', 'p': 23, 'prec': 20, 'unit': 8766115488458730802496235, 'val': 1}
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id: 3830341
{'lmfdb_iso': '74529.p', 'p': 29, 'prec': 20, 'unit': 742598339130543696581050993, 'val': 1}
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id: 3830351
{'lmfdb_iso': '74529.p', 'p': 31, 'prec': 20, 'unit': 13912044618732168048980481669, 'val': 1}
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id: 3830337
{'lmfdb_iso': '74529.p', 'p': 37, 'prec': 20, 'unit': 3754135751590906238933693307563, 'val': -1}
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id: 3830340
{'lmfdb_iso': '74529.p', 'p': 43, 'prec': 20, 'unit': 5524500966681285219651030438257, 'val': 1}
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id: 3830342
{'lmfdb_iso': '74529.p', 'p': 47, 'prec': 20, 'unit': 12842393338240277737510361015867, 'val': 1}
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id: 3830346
{'lmfdb_iso': '74529.p', 'p': 53, 'prec': 20, 'unit': 207171902377131089125290953492509, 'val': 1}
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id: 3830350
{'lmfdb_iso': '74529.p', 'p': 61, 'prec': 20, 'unit': 4214217091365069466110803480744190, 'val': 1}
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id: 3830336
{'lmfdb_iso': '74529.p', 'p': 67, 'prec': 20, 'unit': 35196559690976587268191361159911843, 'val': 1}
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id: 3830338
{'lmfdb_iso': '74529.p', 'p': 71, 'prec': 20, 'unit': 140631374017368489491798252832030673, 'val': 1}
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id: 3830339
{'lmfdb_iso': '74529.p', 'p': 73, 'prec': 20, 'unit': 64482165093976642482323649250085760, 'val': 1}
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id: 3830349
{'lmfdb_iso': '74529.p', 'p': 79, 'prec': 20, 'unit': 80447994344061575631421234755578804, 'val': 1}
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id: 3830335
{'lmfdb_iso': '74529.p', 'p': 83, 'prec': 20, 'unit': 1833070799813830557278402882817013599, 'val': 1}
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id: 3830348
{'lmfdb_iso': '74529.p', 'p': 89, 'prec': 20, 'unit': 2606254747612199303688772113146357557, 'val': 1}
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id: 3830334
{'lmfdb_iso': '74529.p', 'p': 97, 'prec': 20, 'unit': 52324461507186674022408525413082068305, 'val': 1}