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ec_curvedata • Show schema
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{'Ciso': '4232d', 'Clabel': '4232d1', 'Cnumber': 1, 'abc_quality': 0.8151826396911841, 'absD': 160380897855488, 'adelic_genus': 0, 'adelic_index': 10, 'adelic_level': 40, 'ainvs': [0, -1, 0, 4056, 599788], 'analytic_rank': 0, 'bad_primes': [2, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 4232, 'degree': 11040, 'elladic_images': ['8.2.0.1', '5.5.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4060035742051478586675850117', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [46, 1], 'lmfdb_iso': '4232.b', 'lmfdb_label': '4232.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 8, -52], 'min_quad_twist_disc': -23, 'modell_images': ['5S4'], 'modm_images': ['5.5.0.a.1', '8.2.0.a.1', '40.10.0.a.1'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 529], [23, 200, 8]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3197108185942351355027129875', 'prec': 97}, 'szpiro_ratio': 4.806496393756291, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -2, 0, 2, 0, -2, 0, 4, 0, 4, 0, 2, 0, -7, 0, 3, 0], 'aplist': [0, -1, -2, 2, 4, 4, -7, 3, 0, -4, 6, 2, 6, 5, -10, 0, -5, -4, 5, 14, 15, -12, -15, -10, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 4232, 'isogeny_matrix': [[1]], 'lmfdb_iso': '4232.b', 'trace_hash': 1724548604148124403}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.060084273228767870028895647463', 'prec': 97}, 'conductor': 4232, 'gens': [], 'heights': [], 'lmfdb_label': '4232.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.43047293321141185562290394952', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2914187996342355668687118485629316104', 'prec': 127}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [4, 0], '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': 'a', '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '4232.b1'}
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ec_torsion_growth • Show schema
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id: 221266
{'degree': 3, 'field': [-29, -15, -1, 1], 'lmfdb_label': '4232.b1', 'torsion': [2]}
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id: 221267
{'degree': 6, 'field': [242, 0, 93, 0, 16, 0, 1], 'lmfdb_label': '4232.b1', 'torsion': [2, 2]}
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id: 221268
{'degree': 8, 'field': [1, -4, 6, -2, -8, -2, 6, -4, 1], 'lmfdb_label': '4232.b1', 'torsion': [3]}
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id: 221269
{'degree': 12, 'field': [-242, 0, -261, 0, -103, 0, -26, 0, -8, 0, -1, 0, 1], 'lmfdb_label': '4232.b1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 79950
{'conductor': 4232, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '4232.b1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 79951
{'conductor': 4232, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '4232.b1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1691583
{'adelic_gens': [[1, 0, 10, 1], [26, 5, 5, 36], [1, 10, 0, 1], [6, 5, 15, 36], [31, 12, 0, 7], [4, 9, 27, 1], [3, 16, 8, 3], [31, 10, 30, 11]], 'adelic_image': '40.10.0.?', 'conductor': 4232, 'lmfdb_label': '4232.b1', 'prime': 0}
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id: 21101
{'conductor': 4232, 'elladic_image': '8.2.0.1', 'lmfdb_label': '4232.b1', 'modell_image': '2G', 'prime': 2}
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id: 21102
{'conductor': 4232, 'elladic_image': '5.5.0.1', 'lmfdb_label': '4232.b1', 'modell_image': '5S4', 'prime': 5}
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lmfdb_iso 4232.b does not appear in ec_padic
