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ec_curvedata • Show schema
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{'Ciso': '1386a', 'Clabel': '1386a1', 'Cnumber': 1, 'abc_quality': 0.9672157377550301, 'absD': 678984768, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [1, -1, 0, -231, -451], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1386, 'degree': 576, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.38764098207549041979939507112', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [69426531, 34496], 'lmfdb_iso': '1386.d', 'lmfdb_label': '1386.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -231, -451], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.c.1', '66.6.0.a.1', '88.6.0.?', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.85208060646282640507989603419', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43631823442559184874703885657', 'prec': 107}, 'szpiro_ratio': 3.862677060180595, '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, 2, 0, -1, -1, 0, -2, -1, 0, -4, 1, 0, 1, 2, 0, -6, 2], 'aplist': [-1, 0, 2, -1, -1, -4, 2, -6, -2, -2, -8, -2, -2, -2, 2, 6, 0, 4, 0, 10, -2, -12, -12, 12, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 1386, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1386.d', 'trace_hash': 1914231079442175383}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.46057389736062820688541263223', 'prec': 103}, 'conductor': 1386, 'gens': [[25, 82, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.85208060646282640507989603419', 'prec': 103}], 'lmfdb_label': '1386.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2887415247106829140646082139', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1962233198986125580980933302903756833', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-2, 1, 1]], 'xcoord_integral_points': [-10, -2, 23, 25]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [5, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [3, 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': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1386.d1'}
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ec_torsion_growth • Show schema
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id: 69406
{'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '1386.d1', 'torsion': [2, 2]}
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id: 69407
{'degree': 4, 'field': [15, -12, 0, 0, 1], 'lmfdb_label': '1386.d1', 'torsion': [4]}
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id: 69410
{'degree': 8, 'field': [-48, 0, -57, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '1386.d1', 'torsion': [6]}
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id: 69409
{'degree': 8, 'field': [4, 0, 58, 0, 33, 0, 4, 0, 1], 'lmfdb_label': '1386.d1', 'torsion': [2, 4]}
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id: 69408
{'degree': 8, 'field': [71824, 0, -23528, 0, 2136, 0, -74, 0, 1], 'lmfdb_label': '1386.d1', 'torsion': [2, 4]}
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id: 69412
{'degree': 16, 'field': [352, 968, 1940, -4458, 1145, -4052, 7114, 780, -6068, 2082, 1150, -532, -154, 84, 8, -8, 1], 'lmfdb_label': '1386.d1', 'torsion': [2, 6]}
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id: 69411
{'degree': 16, 'field': [6028288, 3180544, -2903552, -628224, 494112, -201536, 46944, 8928, 9697, -9896, 3484, -280, -378, 168, -4, -8, 1], 'lmfdb_label': '1386.d1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 21076
{'conductor': 1386, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1386.d1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 21077
{'conductor': 1386, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '1386.d1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 21078
{'conductor': 1386, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1386.d1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 21079
{'conductor': 1386, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1386.d1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1673266
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [92, 1, 175, 0], [261, 4, 260, 5], [26, 1, 119, 0], [133, 4, 2, 9], [233, 34, 32, 231]], 'adelic_image': '264.12.0.?', 'conductor': 1386, 'lmfdb_label': '1386.d1', 'prime': 0}
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id: 6730
{'conductor': 1386, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1386.d1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 35745
{'lmfdb_iso': '1386.d', 'p': 5, 'prec': 20, 'unit': 14068320755211, 'val': 1}
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id: 35751
{'lmfdb_iso': '1386.d', 'p': 13, 'prec': 20, 'unit': 1165703980958539806081, 'val': 1}
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id: 35753
{'lmfdb_iso': '1386.d', 'p': 17, 'prec': 20, 'unit': 124036894144629673398730, 'val': 1}
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id: 35754
{'lmfdb_iso': '1386.d', 'p': 19, 'prec': 20, 'unit': 1745868481127285351803115, 'val': 1}
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id: 35757
{'lmfdb_iso': '1386.d', 'p': 23, 'prec': 20, 'unit': 26427082397609729898002660, 'val': 1}
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id: 35750
{'lmfdb_iso': '1386.d', 'p': 29, 'prec': 20, 'unit': 2610324402460732216165147244, 'val': 1}
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id: 35747
{'lmfdb_iso': '1386.d', 'p': 31, 'prec': 20, 'unit': 14547192976733933361748419409, 'val': 1}
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id: 35761
{'lmfdb_iso': '1386.d', 'p': 37, 'prec': 20, 'unit': 93347756211889779542945302065, 'val': 1}
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id: 35748
{'lmfdb_iso': '1386.d', 'p': 41, 'prec': 20, 'unit': 1789828286534225235591288597705, 'val': 1}
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id: 35749
{'lmfdb_iso': '1386.d', 'p': 43, 'prec': 20, 'unit': 9193309595429132650414297476571, 'val': 1}
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id: 35752
{'lmfdb_iso': '1386.d', 'p': 47, 'prec': 20, 'unit': 40035796426228975886250701665014, 'val': 1}
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id: 35755
{'lmfdb_iso': '1386.d', 'p': 53, 'prec': 20, 'unit': 203605140117480618633036613878816, 'val': 1}
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id: 35760
{'lmfdb_iso': '1386.d', 'p': 61, 'prec': 20, 'unit': 5775941082537661405055346378780252, 'val': 1}
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id: 35746
{'lmfdb_iso': '1386.d', 'p': 71, 'prec': 20, 'unit': 54081958447269075958206812109340088, 'val': 1}
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id: 35756
{'lmfdb_iso': '1386.d', 'p': 73, 'prec': 20, 'unit': 167758744008223309876767291235655920, 'val': 1}
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id: 35759
{'lmfdb_iso': '1386.d', 'p': 79, 'prec': 20, 'unit': 556277253501244707973545526136230417, 'val': 1}
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id: 35744
{'lmfdb_iso': '1386.d', 'p': 83, 'prec': 20, 'unit': 556975574149544749827908998469663312, 'val': 1}
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id: 35758
{'lmfdb_iso': '1386.d', 'p': 89, 'prec': 20, 'unit': 2897360676956295301993243097359857254, 'val': 1}
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id: 35743
{'lmfdb_iso': '1386.d', 'p': 97, 'prec': 20, 'unit': 26127612059538052639506299539657548369, 'val': 1}