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ec_curvedata • Show schema
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{'Ciso': '177450l', 'Clabel': '177450l1', 'Cnumber': 1, 'abc_quality': 1.0499881632354304, 'absD': 4561334505000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2184, 'ainvs': [1, 0, 0, 4137, -7983], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 177450, 'degree': 505440, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1184859543577720568248649100', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 207, 'isogeny_degrees': [1, 3], 'jinv': [2595575, 1512], 'lmfdb_iso': '177450.hz', 'lmfdb_label': '177450.hz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 24, -2], 'min_quad_twist_disc': 13, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '39.8.0-3.a.1.1', '168.8.0.?', '2184.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, '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': '-0.70046802851769643606879858853', 'prec': 107}, 'szpiro_ratio': 3.0279183807798953, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 0, 1, -1, 1, 1, 0, -6, 1, 0, -1, 0, 1, 3, 1, 4, 0], 'aplist': [1, 1, 0, -1, -6, 0, 3, 4, -3, 3, -5, 10, -9, -1, 0, 9, -9, 11, 4, 12, 10, -10, -9, 6, -14], 'class_deg': 3, 'class_size': 2, 'conductor': 177450, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '177450.hz', 'trace_hash': 1633804437062017576}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.10678135901848257295387184270', 'prec': 103}, 'conductor': 177450, 'gens': [], 'heights': [], 'lmfdb_label': '177450.hz2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.45720734430209938450935018274', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1148660987188944605841516446156394304', 'prec': 130}, 'tamagawa_product': 9, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 177450.hz2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7857790
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '177450.hz2', 'torsion': [3]}
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id: 7857791
{'degree': 3, 'field': [-38, 2, -1, 1], 'lmfdb_label': '177450.hz2', 'torsion': [2]}
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id: 7857792
{'degree': 6, 'field': [672, 0, 352, 0, 34, 0, 1], 'lmfdb_label': '177450.hz2', 'torsion': [2, 2]}
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id: 7857794
{'degree': 6, 'field': [1179, 849, -4, 79, -6, -1, 1], 'lmfdb_label': '177450.hz2', 'torsion': [6]}
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id: 7857793
{'degree': 6, 'field': [3072, -192, -224, 96, 7, -3, 1], 'lmfdb_label': '177450.hz2', 'torsion': [3]}
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id: 7857795
{'degree': 12, 'field': [-4029444384, -3366412896, -643765728, 85161456, 14059052, -5022676, -282536, 41954, -5473, 236, 42, -6, 1], 'lmfdb_label': '177450.hz2', 'torsion': [4]}
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id: 7857796
{'degree': 12, 'field': [14400, -30600, 24675, -6375, -950, 435, -217, 288, 93, -33, 14, -3, 1], 'lmfdb_label': '177450.hz2', 'torsion': [3, 3]}
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id: 7857797
{'degree': 12, 'field': [5000139, -517050, 695253, -377946, 244240, -70338, 30293, -6174, 1932, -270, 65, -6, 1], 'lmfdb_label': '177450.hz2', 'torsion': [2, 6]}
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id: 7857798
{'degree': 18, 'field': [-2059957, 8225469, 24580431, -45341214, 21156057, -8502705, -1235589, 3919635, -663597, -333735, 33471, 17505, 1761, -2043, -45, 210, -9, -9, 1], 'lmfdb_label': '177450.hz2', 'torsion': [9]}
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id: 7857799
{'degree': 18, 'field': [78643200, 19660800, 18841600, 20766720, -491520, -15805440, 7800576, -2472576, 986088, -298206, 30970, 10317, -7329, 3108, -510, -54, 48, -9, 1], 'lmfdb_label': '177450.hz2', 'torsion': [6]}
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ec_localdata • Show schema
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id: 4389192
{'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '177450.hz2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 4389193
{'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '177450.hz2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 4389194
{'conductor': 177450, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '177450.hz2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 4389195
{'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '177450.hz2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 4389196
{'conductor': 177450, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '177450.hz2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2806763
{'adelic_gens': [[4, 3, 9, 7], [2179, 6, 2178, 7], [1, 6, 0, 1], [1639, 1014, 1053, 859], [1249, 1014, 2067, 859], [3, 4, 8, 11], [2094, 1105, 1963, 222], [167, 0, 0, 2183], [1, 0, 6, 1], [1093, 1014, 1599, 859]], 'adelic_image': '2184.16.0.?', 'conductor': 177450, 'lmfdb_label': '177450.hz2', 'prime': 0}
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id: 667057
{'conductor': 177450, 'elladic_image': '3.4.0.1', 'lmfdb_label': '177450.hz2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 177450.hz does not appear in ec_padic