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ec_curvedata • Show schema
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{'Ciso': '46800bx', 'Clabel': '46800bx1', 'Cnumber': 1, 'abc_quality': 0.9400430053541569, 'absD': 2808000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 780, 'ainvs': [0, 0, 0, -16800, -842000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 46800, 'degree': 82944, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2331515233184166957490145019', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 57, 'isogeny_degrees': [1, 3], 'jinv': [-303464448, 1625], 'lmfdb_iso': '46800.cf', 'lmfdb_label': '46800.cf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -378, -2842], 'min_quad_twist_disc': 60, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '60.8.0-3.a.1.2', '156.8.0.?', '390.8.0.?', '780.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 975], [3, 6, 5200], [5, 18, 1872], [13, 14, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.53936768562560622381740859540', 'prec': 107}, 'szpiro_ratio': 3.795014700626679, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 3, 0, -1, 0, 0, 0, 3, 0, 4, 0], 'aplist': [0, 0, 0, -1, 3, -1, 3, 4, -9, -6, -2, 1, -3, 2, -6, -9, 12, 5, -4, -9, -14, 7, 0, 15, -5], 'class_deg': 3, 'class_size': 2, 'conductor': 46800, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '46800.cf', 'trace_hash': 1591749087873791160}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.084898144023764168397212060847', 'prec': 107}, 'conductor': 46800, 'gens': [], 'heights': [], 'lmfdb_label': '46800.cf1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.20960574158949632688880227870', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6768459327159706151104182295946734964', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [2, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '46800.cf1'}
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ec_torsion_growth • Show schema
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id: 2281756
{'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '46800.cf1', 'torsion': [3]}
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id: 2281757
{'degree': 3, 'field': [-5, -1, -1, 1], 'lmfdb_label': '46800.cf1', 'torsion': [2]}
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id: 2281759
{'degree': 6, 'field': [-3206, -1170, 675, -26, -45, 0, 1], 'lmfdb_label': '46800.cf1', 'torsion': [3]}
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id: 2281760
{'degree': 6, 'field': [20, 0, 36, 0, -12, 0, 1], 'lmfdb_label': '46800.cf1', 'torsion': [6]}
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id: 2281758
{'degree': 6, 'field': [780, 0, 16, 0, -8, 0, 1], 'lmfdb_label': '46800.cf1', 'torsion': [2, 2]}
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id: 2281763
{'degree': 12, 'field': [1521, 0, 273, 0, 334, 0, -151, 0, 54, 0, -7, 0, 1], 'lmfdb_label': '46800.cf1', 'torsion': [2, 6]}
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id: 2281761
{'degree': 12, 'field': [7545, -14874, 13788, -5136, 2473, -2484, 472, 144, 123, -54, -8, 0, 1], 'lmfdb_label': '46800.cf1', 'torsion': [4]}
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id: 2281762
{'degree': 12, 'field': [86436, -114660, 130050, -44538, 11355, 13650, 139, 0, 150, -52, -15, 0, 1], 'lmfdb_label': '46800.cf1', 'torsion': [3, 3]}
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id: 2281765
{'degree': 18, 'field': [6266356, -12079704, 19731576, -8679424, 2452170, -464022, -491165, -109122, -202089, -76102, 2244, 10218, 2375, 78, 60, -78, -3, 0, 1], 'lmfdb_label': '46800.cf1', 'torsion': [6]}
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id: 2281764
{'degree': 18, 'field': [166954581, 644481522, 1060155135, 933312024, 430983315, 36843822, -65684376, -28298610, 1722708, 3810860, 522765, -228150, -58020, 7200, 2970, -66, -72, 0, 1], 'lmfdb_label': '46800.cf1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 1116229
{'conductor': 46800, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '46800.cf1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1116230
{'conductor': 46800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '46800.cf1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1116231
{'conductor': 46800, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '46800.cf1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1116232
{'conductor': 46800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '46800.cf1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1975753
{'adelic_gens': [[395, 774, 396, 773], [4, 3, 9, 7], [775, 6, 774, 7], [389, 0, 0, 779], [301, 6, 123, 19], [66, 331, 133, 84], [1, 6, 0, 1], [3, 4, 8, 11], [623, 774, 699, 761], [1, 0, 6, 1]], 'adelic_image': '780.16.0.?', 'conductor': 46800, 'lmfdb_label': '46800.cf1', 'prime': 0}
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id: 202304
{'conductor': 46800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '46800.cf1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 46800.cf does not appear in ec_padic
