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ec_curvedata • Show schema
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{'Ciso': '223146dn', 'Clabel': '223146dn1', 'Cnumber': 1, 'abc_quality': 0.9440095209297342, 'absD': 1822701603492, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 21252, 'ainvs': [1, -1, 0, -5742, -178200], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 223146, 'degree': 356352, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0968046465721863991476155083', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1], 'jinv': [-244140625, 21252], 'lmfdb_iso': '223146.bb', 'lmfdb_label': '223146.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -13, -25], 'min_quad_twist_disc': 21, 'modell_images': [], 'modm_images': ['21252.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6785954462693981763295462219', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42545657228952509910268348188', 'prec': 107}, 'szpiro_ratio': 3.0628286534498392, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, 1, 5, 0, 5, 0], 'aplist': [-1, 0, 0, 0, -1, 1, 5, 5, -1, -9, 5, -6, 8, 10, -4, 5, 8, 0, -13, -3, -6, 10, 6, 0, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 223146, 'isogeny_matrix': [[1]], 'lmfdb_iso': '223146.bb', 'trace_hash': 1981499563422495893}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.11151353635714736679089279634', 'prec': 103}, 'conductor': 223146, 'gens': [[100, 440, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6785954462693981763295462219', 'prec': 100}], 'lmfdb_label': '223146.bb1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27286478776392406918322051686', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8471550236137024880969059103491192579', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [100]}
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lmfdb_label 223146.bb1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9707188
{'degree': 3, 'field': [-100, -27, 0, 1], 'lmfdb_label': '223146.bb1', 'torsion': [2]}
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id: 9707189
{'degree': 6, 'field': [32400, -11880, 6762, -426, 67, -2, 1], 'lmfdb_label': '223146.bb1', 'torsion': [2, 2]}
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id: 9707190
{'degree': 8, 'field': [-24092, -20059, 20650, -1183, 595, -7, 7, -4, 1], 'lmfdb_label': '223146.bb1', 'torsion': [3]}
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id: 9707191
{'degree': 12, 'field': [-252852336, 128541348, -17805579, 7561866, -2832091, 458204, -76607, 19376, -1219, -130, -27, 0, 1], 'lmfdb_label': '223146.bb1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 5534966
{'conductor': 223146, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '223146.bb1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 5534967
{'conductor': 223146, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '223146.bb1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5534968
{'conductor': 223146, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '223146.bb1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5534969
{'conductor': 223146, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '223146.bb1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 5534970
{'conductor': 223146, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '223146.bb1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[15457, 2, 15457, 3], [7085, 2, 7085, 3], [18217, 2, 18217, 3], [1, 0, 2, 1], [1, 2, 0, 1], [10627, 2, 10627, 3], [1, 1, 21251, 0], [925, 2, 925, 3], [21251, 2, 21250, 3]], 'adelic_image': '21252.2.0.?', 'conductor': 223146, 'lmfdb_label': '223146.bb1', 'prime': 0}
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lmfdb_iso 223146.bb does not appear in ec_padic