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ec_curvedata • Show schema
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{'Ciso': '145728ea', 'Clabel': '145728ea2', 'Cnumber': 2, 'abc_quality': 0.9827175134603214, 'absD': 33579985580900352, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3036, 'ainvs': [0, 0, 0, -367932, 85447600], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 145728, 'degree': 1474560, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0098169370805651484855703501', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [461188987116496, 2811467307], 'lmfdb_iso': '145728.h', 'lmfdb_label': '145728.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -10220, -392184], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '1012.6.0.?', '3036.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 29, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.56616215748957650983445075435', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.65183908209324077513451025660', 'prec': 103}, 'szpiro_ratio': 4.210486167411654, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -4, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -4, 0, 1, 2, -2, -4, 1, -8, 4, -2, -4, -8, -8, -4, -4, -2, 10, 0, 6, -4, -4, 0, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 145728, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '145728.h', 'trace_hash': 318835584722412375}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.017959539187279083569856413238', 'prec': 107}, 'conductor': 145728, 'gens': [[26, 8712, 1], [404, 1656, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.29746438065319882121849709698', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.9423876596319927712980210967', 'prec': 100}], 'lmfdb_label': '145728.h1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.37045720747460675635787054065', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.067464888386577468069460514112264952', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-700, 0, 1]], 'xcoord_integral_points': [-700, -667, -654, 26, 125, 312, 314, 378, 389, 404, 818, 1082, 23258, 32696, 948050]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [6, 2, 0], '11': [3, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [3, 0], '29': [2, 0], '31': [4, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '145728.h1'}
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ec_torsion_growth • Show schema
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id: 6574099
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '145728.h1', 'torsion': [2, 2]}
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id: 6574100
{'degree': 4, 'field': [108, 0, 38, 0, 1], 'lmfdb_label': '145728.h1', 'torsion': [4]}
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id: 6574103
{'degree': 8, 'field': [-6912, 0, 0, 0, 288, 0, 14, 0, 1], 'lmfdb_label': '145728.h1', 'torsion': [6]}
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id: 6574102
{'degree': 8, 'field': [729, 0, 2052, 0, 739, 0, 76, 0, 1], 'lmfdb_label': '145728.h1', 'torsion': [2, 4]}
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id: 6574101
{'degree': 8, 'field': [11449, -428, -5074, -1016, 424, 80, -34, -4, 1], 'lmfdb_label': '145728.h1', 'torsion': [2, 4]}
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id: 6574105
{'degree': 16, 'field': [2304, 0, 5376, 0, 16912, 0, 2688, 0, -8736, 0, -1456, 0, -336, 0, 0, 0, 1], 'lmfdb_label': '145728.h1', 'torsion': [2, 6]}
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id: 6574104
{'degree': 16, 'field': [1079463797977, 661016606580, 141702213228, -56674967184, -11171482768, 830567628, 281866020, -2149488, 47289951, 10519740, 530844, -18216, 24368, 0, 36, 0, 1], 'lmfdb_label': '145728.h1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 3604717
{'conductor': 145728, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '145728.h1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 3604718
{'conductor': 145728, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '145728.h1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3604719
{'conductor': 145728, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '145728.h1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 3604720
{'conductor': 145728, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '145728.h1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2610954
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [2026, 1, 2023, 0], [1, 2, 2, 5], [760, 2281, 2277, 760], [1, 4, 0, 1], [277, 4, 554, 9], [925, 4, 1850, 9], [3033, 4, 3032, 5]], 'adelic_image': '3036.12.0.?', 'conductor': 145728, 'lmfdb_label': '145728.h1', 'prime': 0}
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id: 561488
{'conductor': 145728, 'elladic_image': '2.3.0.1', 'lmfdb_label': '145728.h1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 145728.h does not appear in ec_padic