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ec_curvedata • Show schema
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{'Ciso': '44352cf', 'Clabel': '44352cf2', 'Cnumber': 2, 'abc_quality': 0.9267734643706906, 'absD': 499674849214464, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1848, 'ainvs': [0, 0, 0, -22476, -724880], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 44352, 'degree': 163840, 'elladic_images': ['8.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5186697250007531371735371149', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4], 'jinv': [6570725617, 2614689], 'lmfdb_iso': '44352.bj', 'lmfdb_label': '44352.bj3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -39, 36], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.8', '24.48.0-24.i.2.12', '56.48.0-56.m.1.4', '88.48.0.?', '132.24.0.?', '168.96.0.?', '264.96.0.?', '616.96.0.?', '1848.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2440707761347336888451345046', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.070357190173219672649933685749', 'prec': 110}, 'szpiro_ratio': 3.8948179081366714, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -2, 0, 1, 0, 0, 0, -1, 0, -6, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -2, 1, -1, -6, -2, -4, 0, -2, 8, -6, -10, 4, 8, 6, 4, 10, 12, 0, 2, 16, 4, -18, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 44352, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 2, 4, 2], [8, 4, 2, 1, 8, 4], [4, 2, 4, 8, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '44352.bj', 'trace_hash': 98383374178478900}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.047962326059875502070825009935', 'prec': 107}, 'conductor': 44352, 'gens': [[-88, 756, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2440707761347336888451345046', 'prec': 100}], 'lmfdb_label': '44352.bj3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.40352214647268352763394177586', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0160808795986006908075737706563908064', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-34, 0, 1], [164, 0, 1]], 'xcoord_integral_points': [-130, -88, -67, -34, 164, 318, 542, 4916]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '44352.bj3'}
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ec_torsion_growth • Show schema
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id: 2170394
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '44352.bj3', 'torsion': [2, 4]}
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id: 2170396
{'degree': 4, 'field': [16, 0, -14, 0, 1], 'lmfdb_label': '44352.bj3', 'torsion': [2, 4]}
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id: 2170395
{'degree': 4, 'field': [49, 0, 8, 0, 1], 'lmfdb_label': '44352.bj3', 'torsion': [2, 4]}
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id: 2170400
{'degree': 8, 'field': [-3888, 0, 8856, 0, -216, 0, 0, 0, 1], 'lmfdb_label': '44352.bj3', 'torsion': [2, 6]}
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id: 2170399
{'degree': 8, 'field': [4, 24, 22, -104, 83, -40, 18, -4, 1], 'lmfdb_label': '44352.bj3', 'torsion': [2, 8]}
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id: 2170397
{'degree': 8, 'field': [16, 0, 0, 0, 41, 0, 0, 0, 1], 'lmfdb_label': '44352.bj3', 'torsion': [4, 4]}
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id: 2170398
{'degree': 8, 'field': [8281, 0, 2394, 0, 191, 0, 6, 0, 1], 'lmfdb_label': '44352.bj3', 'torsion': [2, 8]}
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id: 2170401
{'degree': 16, 'field': [1089, 0, 4356, 0, 7590, 0, 4884, 0, 1411, 0, 388, 0, 162, 0, 16, 0, 1], 'lmfdb_label': '44352.bj3', 'torsion': [4, 8]}
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id: 2170403
{'degree': 16, 'field': [1016064, 0, 1354752, 0, 451584, 0, 68256, 0, 28800, 0, -1128, 0, 36, 0, 12, 0, 1], 'lmfdb_label': '44352.bj3', 'torsion': [2, 12]}
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id: 2170402
{'degree': 16, 'field': [111049444, 0, -173265224, 0, 52194736, 0, 651508, 0, 205093, 0, -30872, 0, 1558, 0, -68, 0, 1], 'lmfdb_label': '44352.bj3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 1055109
{'conductor': 44352, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '44352.bj3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1055110
{'conductor': 44352, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '44352.bj3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1055111
{'conductor': 44352, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '44352.bj3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 1055112
{'conductor': 44352, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '44352.bj3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1959618
{'adelic_gens': [[1585, 4, 0, 1], [1015, 6, 1506, 1843], [1841, 8, 1840, 9], [5, 4, 1844, 1845], [1, 0, 8, 1], [1225, 1846, 18, 5], [919, 456, 468, 931], [5, 468, 1842, 1379], [1, 8, 0, 1]], 'adelic_image': '1848.192.1.?', 'conductor': 44352, 'lmfdb_label': '44352.bj3', 'prime': 0}
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id: 192732
{'conductor': 44352, 'elladic_image': '8.24.0.11', 'lmfdb_label': '44352.bj3', 'modell_image': '2Cs', 'prime': 2}
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ec_padic • Show schema
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id: 2213011
{'lmfdb_iso': '44352.bj', 'p': 5, 'prec': 20, 'unit': 3926389405527, 'val': 1}
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id: 2213016
{'lmfdb_iso': '44352.bj', 'p': 13, 'prec': 20, 'unit': 442944056671295973616, 'val': 1}
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id: 2213018
{'lmfdb_iso': '44352.bj', 'p': 17, 'prec': 20, 'unit': 69533252274962398050860, 'val': 1}
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id: 2213019
{'lmfdb_iso': '44352.bj', 'p': 19, 'prec': 20, 'unit': 1020524045782239727725140, 'val': 1}
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id: 2213015
{'lmfdb_iso': '44352.bj', 'p': 29, 'prec': 20, 'unit': 4477888496689878816314887197, 'val': 1}
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id: 2213012
{'lmfdb_iso': '44352.bj', 'p': 31, 'prec': 20, 'unit': 13038600166204161321661403233, 'val': 1}
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id: 2213026
{'lmfdb_iso': '44352.bj', 'p': 37, 'prec': 20, 'unit': 156066429283404891041258773271, 'val': 1}
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id: 2213013
{'lmfdb_iso': '44352.bj', 'p': 41, 'prec': 20, 'unit': 1365942264750102626460918417527, 'val': 1}
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id: 2213014
{'lmfdb_iso': '44352.bj', 'p': 43, 'prec': 20, 'unit': 7174798098007636912847730029247, 'val': 1}
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id: 2213024
{'lmfdb_iso': '44352.bj', 'p': 47, 'prec': 20, 'unit': 15571398453517896629957129111147, 'val': 1}
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id: 2213020
{'lmfdb_iso': '44352.bj', 'p': 53, 'prec': 20, 'unit': 396353984952557574953291928918160, 'val': 1}
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id: 2213021
{'lmfdb_iso': '44352.bj', 'p': 59, 'prec': 20, 'unit': 586585385312437314118460336481125, 'val': 1}
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id: 2213025
{'lmfdb_iso': '44352.bj', 'p': 61, 'prec': 20, 'unit': 4178612244225256595943652188824049, 'val': 1}
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id: 2213010
{'lmfdb_iso': '44352.bj', 'p': 67, 'prec': 20, 'unit': 33065656502660461466663511176833898, 'val': 1}
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id: 2213022
{'lmfdb_iso': '44352.bj', 'p': 73, 'prec': 20, 'unit': 175215131117776551852640078116019443, 'val': 1}
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id: 2213017
{'lmfdb_iso': '44352.bj', 'p': 79, 'prec': 20, 'unit': 678409836081046149250495883209156249, 'val': 1}
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id: 2213009
{'lmfdb_iso': '44352.bj', 'p': 83, 'prec': 20, 'unit': 673304232517427259732433934072729391, 'val': 1}
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id: 2213023
{'lmfdb_iso': '44352.bj', 'p': 89, 'prec': 20, 'unit': 8947121587792685675254800196735402231, 'val': 1}
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id: 2213008
{'lmfdb_iso': '44352.bj', 'p': 97, 'prec': 20, 'unit': 8371431458626437221233934608313295849, 'val': 1}