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ec_curvedata • Show schema
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{'Ciso': '9408da', 'Clabel': '9408da2', 'Cnumber': 2, 'abc_quality': 0.9666197140470211, 'absD': 212513624064, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 1, 0, -2809, 51911], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9408, 'degree': 12288, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.91432184654094493249802743549', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 53, 'isogeny_degrees': [1, 2], 'jinv': [5088448, 441], 'lmfdb_iso': '9408.cb', 'lmfdb_label': '9408.cb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -14, 24], 'min_quad_twist_disc': 56, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '12.12.0-2.a.1.2', '24.24.0-24.a.1.8', '28.12.0.a.1', '56.24.0-28.a.1.1', '84.24.0.?', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.75178040854665702947188105769', 'prec': 107}, 'szpiro_ratio': 3.8730449105769593, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -2, 0, 0, 0, 1, 0, 4, 0, -6, 0, -2, 0, 2, 0, 4, 0], 'aplist': [0, 1, -2, 0, 4, -6, 2, 4, -4, 2, -8, 10, 2, -8, 0, 10, -12, 10, 8, 12, -2, 0, 12, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 9408, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '9408.cb', 'trace_hash': 1923076707290880354}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.16063128541950301626052792461', 'prec': 103}, 'conductor': 9408, 'gens': [], 'heights': [], 'lmfdb_label': '9408.cb2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.97442366224165260051545132175', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9488473244833052010309026434989267750', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[23, 0, 1], [37, 0, 1]], 'xcoord_integral_points': [-61, 23, 37]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '9408.cb2'}
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ec_torsion_growth • Show schema
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id: 490557
{'degree': 4, 'field': [4, 0, 10, 0, 1], 'lmfdb_label': '9408.cb2', 'torsion': [2, 4]}
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id: 490556
{'degree': 4, 'field': [9, 0, -8, 0, 1], 'lmfdb_label': '9408.cb2', 'torsion': [2, 4]}
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id: 490555
{'degree': 4, 'field': [121, 0, -20, 0, 1], 'lmfdb_label': '9408.cb2', 'torsion': [2, 4]}
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id: 490558
{'degree': 8, 'field': [-2352, 0, -1792, 0, -168, 0, 0, 0, 1], 'lmfdb_label': '9408.cb2', 'torsion': [2, 6]}
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id: 490561
{'degree': 16, 'field': [49, 0, -392, 0, 1120, 0, -1512, 0, 786, 0, 24, 0, -32, 0, -8, 0, 1], 'lmfdb_label': '9408.cb2', 'torsion': [2, 8]}
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id: 490559
{'degree': 16, 'field': [256, 0, 0, 0, -16, 0, 0, 0, -15, 0, 0, 0, -1, 0, 0, 0, 1], 'lmfdb_label': '9408.cb2', 'torsion': [4, 4]}
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id: 490562
{'degree': 16, 'field': [753, -720, 2280, 16368, 6586, -8568, 22032, 5648, -2115, -1104, 2400, -696, 102, -64, 0, 0, 1], 'lmfdb_label': '9408.cb2', 'torsion': [2, 8]}
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id: 490560
{'degree': 16, 'field': [1764, 0, 28224, 0, 98448, 0, 111216, 0, 26812, 0, 704, 0, 360, 0, 8, 0, 1], 'lmfdb_label': '9408.cb2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 198181
{'conductor': 9408, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '9408.cb2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 198182
{'conductor': 9408, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '9408.cb2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 198183
{'conductor': 9408, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '9408.cb2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1726178
{'adelic_gens': [[165, 4, 164, 5], [117, 166, 146, 1], [113, 4, 58, 9], [1, 4, 0, 1], [83, 164, 166, 159], [123, 166, 8, 5], [1, 0, 4, 1]], 'adelic_image': '168.48.0.?', 'conductor': 9408, 'lmfdb_label': '9408.cb2', 'prime': 0}
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id: 45642
{'conductor': 9408, 'elladic_image': '8.12.0.1', 'lmfdb_label': '9408.cb2', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 9408.cb does not appear in ec_padic