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ec_curvedata • Show schema
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{'Ciso': '585h', 'Clabel': '585h1', 'Cnumber': 1, 'abc_quality': 0.9568076435408001, 'absD': 47385, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -9, 0], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 585, 'degree': 48, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.41230909295810687593425672066', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [117649, 65], 'lmfdb_iso': '585.h', 'lmfdb_label': '585.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1, 0], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '24.12.0-4.b.1.4', '130.6.0.?', '260.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6381757661106013331690735994', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96161523729216172163187933912', 'prec': 107}, 'szpiro_ratio': 2.866956598160744, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, -1, 1, 0, -4, -3, 0, 1, -2, 0, -1, -4, 0, -1, -2, 0, -6, -1], 'aplist': [1, 0, 1, -4, -2, -1, -2, -6, 6, -2, -10, -2, 6, 10, -4, -2, -6, 2, -4, -6, -6, -12, 16, -2, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 585, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '585.h', 'trace_hash': 854949074168896706}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '2.2810096774229778558773263438', 'prec': 100}, 'conductor': 585, 'gens': [[4, 2, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6381757661106013331690735994', 'prec': 100}], 'lmfdb_label': '585.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.9358589643594450798357284872', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4047265040661052792246780139869110916', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[0, 0, 1]], 'xcoord_integral_points': [0, 4]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': 'a', '5': [2, 0], '7': [9, 0], '11': [5, 0], '13': [1, 0], '17': [1, 0], '19': [5, 0], '23': [1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '585.h1'}
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ec_torsion_growth • Show schema
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id: 26946
{'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '585.h1', 'torsion': [2, 2]}
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id: 26947
{'degree': 4, 'field': [37, -12, -1, 0, 1], 'lmfdb_label': '585.h1', 'torsion': [4]}
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id: 26950
{'degree': 8, 'field': [-27, 0, 0, 0, -18, 0, -1, 0, 1], 'lmfdb_label': '585.h1', 'torsion': [6]}
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id: 26949
{'degree': 8, 'field': [16, 0, 840, 0, 113, 0, 15, 0, 1], 'lmfdb_label': '585.h1', 'torsion': [2, 4]}
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id: 26948
{'degree': 8, 'field': [3136, 0, -3296, 0, 401, 0, -31, 0, 1], 'lmfdb_label': '585.h1', 'torsion': [2, 4]}
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id: 26952
{'degree': 16, 'field': [1156, 0, -3016, 0, 4608, 0, -404, 0, -43, 0, -44, 0, 78, 0, -16, 0, 1], 'lmfdb_label': '585.h1', 'torsion': [8]}
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id: 26953
{'degree': 16, 'field': [42849, 0, -55053, 0, 31360, 0, -15441, 0, 3195, 0, -184, 0, -42, 0, 0, 0, 1], 'lmfdb_label': '585.h1', 'torsion': [2, 6]}
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id: 26951
{'degree': 16, 'field': [47440, 338560, 899520, 1170800, 897016, 324600, -55848, -64804, 5589, 94, 594, 12, -73, 128, 14, -2, 1], 'lmfdb_label': '585.h1', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 6908
{'conductor': 585, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '585.h1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6909
{'conductor': 585, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '585.h1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 6910
{'conductor': 585, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '585.h1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1668501
{'adelic_gens': [[1462, 1041, 231, 4], [1, 0, 8, 1], [1, 8, 0, 1], [781, 528, 0, 1], [1, 4, 4, 17], [391, 528, 780, 1], [3, 8, 28, 75], [1553, 8, 1552, 9], [5, 8, 48, 77], [328, 3, 1245, 1042], [1039, 0, 0, 1559]], 'adelic_image': '1560.48.0.?', 'conductor': 585, 'lmfdb_label': '585.h1', 'prime': 0}
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id: 2652
{'conductor': 585, 'elladic_image': '4.6.0.3', 'lmfdb_label': '585.h1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 9734
{'lmfdb_iso': '585.h', 'p': 7, 'prec': 20, 'unit': 228073618158415, 'val': 3}
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id: 9739
{'lmfdb_iso': '585.h', 'p': 11, 'prec': 20, 'unit': 4935843825487038771, 'val': 2}
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id: 9740
{'lmfdb_iso': '585.h', 'p': 17, 'prec': 20, 'unit': 137245375755509537997607, 'val': 1}
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id: 9741
{'lmfdb_iso': '585.h', 'p': 19, 'prec': 20, 'unit': 67663038051584252362709, 'val': 2}
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id: 9745
{'lmfdb_iso': '585.h', 'p': 23, 'prec': 20, 'unit': 24002821534055791131620889, 'val': 1}
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id: 9737
{'lmfdb_iso': '585.h', 'p': 29, 'prec': 20, 'unit': 4259575526411248340201386957, 'val': 1}
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id: 9750
{'lmfdb_iso': '585.h', 'p': 31, 'prec': 20, 'unit': 200654610473326177181381445, 'val': 2}
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id: 9733
{'lmfdb_iso': '585.h', 'p': 37, 'prec': 20, 'unit': 484077001808497776047488053958, 'val': 1}
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id: 9735
{'lmfdb_iso': '585.h', 'p': 41, 'prec': 20, 'unit': 2130022186878491423752528304667, 'val': 1}
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id: 9736
{'lmfdb_iso': '585.h', 'p': 43, 'prec': 20, 'unit': 4331999060510966994556917959394, 'val': 1}
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id: 9748
{'lmfdb_iso': '585.h', 'p': 47, 'prec': 20, 'unit': 26549738624825425047733815512531, 'val': 1}
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id: 9742
{'lmfdb_iso': '585.h', 'p': 53, 'prec': 20, 'unit': 328534264935837718523974128970038, 'val': 1}
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id: 9743
{'lmfdb_iso': '585.h', 'p': 59, 'prec': 20, 'unit': 4364907384402978641452403830847546, 'val': 1}
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id: 9749
{'lmfdb_iso': '585.h', 'p': 61, 'prec': 20, 'unit': 8299889455892909186366261974847573, 'val': 1}
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id: 9732
{'lmfdb_iso': '585.h', 'p': 67, 'prec': 20, 'unit': 5063780411237113633763960323555811, 'val': 1}
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id: 9747
{'lmfdb_iso': '585.h', 'p': 71, 'prec': 20, 'unit': 83514912731156989781628768632545969, 'val': 1}
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id: 9744
{'lmfdb_iso': '585.h', 'p': 73, 'prec': 20, 'unit': 169839802703371816828746823682707711, 'val': 1}
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id: 9738
{'lmfdb_iso': '585.h', 'p': 79, 'prec': 20, 'unit': 949070655847921555243836751131635663, 'val': 1}
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id: 9731
{'lmfdb_iso': '585.h', 'p': 83, 'prec': 20, 'unit': 1427248615539852627442788476922744522, 'val': 1}
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id: 9746
{'lmfdb_iso': '585.h', 'p': 89, 'prec': 20, 'unit': 10079893171397094714471720872082079322, 'val': 1}
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id: 9730
{'lmfdb_iso': '585.h', 'p': 97, 'prec': 20, 'unit': 47928711150327662806861605289258708748, 'val': 1}