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ec_curvedata • Show schema
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{'Ciso': '8670y', 'Clabel': '8670y1', 'Cnumber': 1, 'abc_quality': 1.0303978327364083, 'absD': 682606440, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 40, 'ainvs': [1, 0, 0, -52740, -4666248], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 8670, 'degree': 23760, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1803814811930737027602573956', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1], 'jinv': [-56136684668636449, 2361960], 'lmfdb_iso': '8670.z', 'lmfdb_label': '8670.z1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -52740, -4666248], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['40.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.70817925718370435605200162596', 'prec': 103}, 'szpiro_ratio': 4.878123787426657, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -5, 1, 1, 1, 1, 1, 0, 1, -4, 1], 'aplist': [1, 1, 1, 1, -5, 1, 0, -4, 7, 4, 8, -6, -2, 6, -7, 13, 9, 10, 4, 10, 8, 0, -10, 7, 12], 'class_deg': 1, 'class_size': 1, 'conductor': 8670, 'isogeny_matrix': [[1]], 'lmfdb_iso': '8670.z', 'trace_hash': 1860866772811064185}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.094348211592077845576189892060', 'prec': 107}, 'conductor': 8670, 'gens': [], 'heights': [], 'lmfdb_label': '8670.z1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.15751955769665806573887951690', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7255867308997419721663855070399853301', 'prec': 130}, 'tamagawa_product': 30, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [3, 0], '5': [3, 0], '7': [2, 0], '11': [0, 0], '13': [2, 0], '17': 'a', '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '8670.z1'}
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ec_torsion_growth • Show schema
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id: 452920
{'degree': 3, 'field': [-34, -17, 0, 1], 'lmfdb_label': '8670.z1', 'torsion': [2]}
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id: 452921
{'degree': 6, 'field': [10, 0, 61, 0, -8, 0, 1], 'lmfdb_label': '8670.z1', 'torsion': [2, 2]}
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id: 452922
{'degree': 8, 'field': [-186, 69, -24, -91, 49, -7, 7, -4, 1], 'lmfdb_label': '8670.z1', 'torsion': [3]}
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id: 452923
{'degree': 12, 'field': [86700, -28900, -54910, 34680, 2312, -7514, -935, 1972, 425, -34, -17, 0, 1], 'lmfdb_label': '8670.z1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 181007
{'conductor': 8670, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '8670.z1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 181008
{'conductor': 8670, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '8670.z1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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id: 181009
{'conductor': 8670, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8670.z1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 181010
{'conductor': 8670, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '8670.z1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[21, 2, 21, 3], [1, 0, 2, 1], [17, 2, 17, 3], [31, 2, 31, 3], [1, 2, 0, 1], [1, 1, 39, 0], [39, 2, 38, 3]], 'adelic_image': '40.2.0.?', 'conductor': 8670, 'lmfdb_label': '8670.z1', 'prime': 0}
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lmfdb_iso 8670.z does not appear in ec_padic