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ec_curvedata • Show schema
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{'Ciso': '139425d', 'Clabel': '139425d1', 'Cnumber': 1, 'abc_quality': 0.7471947544721999, 'absD': 697125, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 330, 'ainvs': [1, 0, 0, -23, 12], 'analytic_rank': 1, 'bad_primes': [3, 5, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 139425, 'degree': 14592, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.18671558180694813638746175464', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1], 'jinv': [63869, 33], 'lmfdb_iso': '139425.k', 'lmfdb_label': '139425.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -23, 12], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['330.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0535447859040935391168616674', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 27885], [3, 4, 46475], [5, 10, 5577], [11, 12, 12675], [13, 38, 825]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0165666194923960193798994949', 'prec': 103}, 'szpiro_ratio': 1.7747827077603595, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, -1, 0, -1, -1, 3, 1, 0, -1, -1, 0, 1, 0, -1, 0, -1, 4, 0], 'aplist': [-1, 1, 0, -1, -1, 0, 0, 4, 7, 3, 5, -12, -3, 1, 3, 3, 4, -2, -8, 2, -11, 8, -2, 6, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 139425, 'isogeny_matrix': [[1]], 'lmfdb_iso': '139425.k', 'trace_hash': 1103922774434323552}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.4527105607565566903659689295', 'prec': 100}, 'conductor': 139425, 'gens': [[-3, 9, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0535447859040935391168616674', 'prec': 100}], 'lmfdb_label': '139425.k1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.5205832753499589517649941812', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3110947343640227152919831633663857893', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-3]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [2, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '139425.k1'}
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ec_torsion_growth • Show schema
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id: 6303739
{'degree': 3, 'field': [12, -30, -1, 1], 'lmfdb_label': '139425.k1', 'torsion': [2]}
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id: 6303740
{'degree': 6, 'field': [-624, -468, 403, 129, -62, -3, 1], 'lmfdb_label': '139425.k1', 'torsion': [2, 2]}
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id: 6303741
{'degree': 8, 'field': [-13959, -1296, 882, 827, -410, -7, 7, -4, 1], 'lmfdb_label': '139425.k1', 'torsion': [3]}
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id: 6303742
{'degree': 12, 'field': [-240174, 248706, -404733, -4848, 27693, -16098, 28003, -88, -797, -38, -23, -4, 1], 'lmfdb_label': '139425.k1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 3442508
{'conductor': 139425, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '139425.k1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 3442509
{'conductor': 139425, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '139425.k1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3442510
{'conductor': 139425, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '139425.k1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 3442511
{'conductor': 139425, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '139425.k1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[221, 2, 221, 3], [67, 2, 67, 3], [211, 2, 211, 3], [329, 2, 328, 3], [1, 1, 329, 0], [1, 0, 2, 1], [1, 2, 0, 1]], 'adelic_image': '330.2.0.?', 'conductor': 139425, 'lmfdb_label': '139425.k1', 'prime': 0}
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lmfdb_iso 139425.k does not appear in ec_padic
