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ec_curvedata • Show schema
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{'Ciso': '28050dd', 'Clabel': '28050dd1', 'Cnumber': 1, 'abc_quality': 0.9517742441688634, 'absD': 15625420800000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [1, 0, 0, -290563, -60008383], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 28050, 'degree': 337920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9484470542980592536260422774', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 81, 'isogeny_degrees': [1, 2], 'jinv': [173629978755828841, 1000026931200], 'lmfdb_iso': '28050.dd', 'lmfdb_label': '28050.dd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -11622, -484716], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '66.6.0.a.1', '136.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1437280980810090663256626108', 'prec': 100}, 'szpiro_ratio': 4.818742860065942, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 0, 1, -2, 1, 1, 0, -1, 1, 4, -2, 0, 1, 1, 1, -6, 0], 'aplist': [1, 1, 0, -2, -1, 4, 1, -6, 6, 2, 0, 6, -2, 2, -8, 4, 14, 10, -8, -6, -4, 14, -12, 6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 28050, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '28050.dd', 'trace_hash': 2146102759695093155}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.020304878358140078146704181725', 'prec': 107}, 'conductor': 28050, 'gens': [], 'heights': [], 'lmfdb_label': '28050.dd2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.20570275072379904404872271907', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5254605159235789690718998194941269343', 'prec': 130}, 'tamagawa_product': 88, 'torsion_generators': [[622, -311, 1]], 'xcoord_integral_points': [622]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [8, 0], '3': [5, 0], '5': 'a', '7': [0, 0], '11': [4, 0], '17': [1, 0]}, 'iwp0': 13, 'lmfdb_label': '28050.dd2'}
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ec_torsion_growth • Show schema
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id: 1405462
{'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '28050.dd2', 'torsion': [2, 2]}
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id: 1405463
{'degree': 4, 'field': [446, 72, -71, -2, 1], 'lmfdb_label': '28050.dd2', 'torsion': [4]}
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id: 1405466
{'degree': 8, 'field': [-54675, 0, -7380, 0, -810, 0, 0, 0, 1], 'lmfdb_label': '28050.dd2', 'torsion': [6]}
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id: 1405464
{'degree': 8, 'field': [4356, 0, -100452, 0, 7789, 0, -178, 0, 1], 'lmfdb_label': '28050.dd2', 'torsion': [2, 4]}
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id: 1405465
{'degree': 8, 'field': [66936, 39840, 22770, 2892, 1723, 10, 66, -2, 1], 'lmfdb_label': '28050.dd2', 'torsion': [2, 4]}
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id: 1405467
{'degree': 16, 'field': [-156347989776, 898483962816, -737735344128, -313410638784, 136647478736, 23627561520, -7146597608, -610800432, 134934697, 11718376, -2217052, -70856, 13326, -728, 124, -8, 1], 'lmfdb_label': '28050.dd2', 'torsion': [8]}
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id: 1405468
{'degree': 16, 'field': [27390430576, 734536936, -726694884, 31700624, -133240612, 137940696, -41318396, -3561128, 347733, 360856, -72224, 1152, -1102, 392, -36, -8, 1], 'lmfdb_label': '28050.dd2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 649578
{'conductor': 28050, 'conductor_valuation': 1, 'discriminant_valuation': 22, 'j_denominator_valuation': 22, 'kodaira_symbol': 26, 'lmfdb_label': '28050.dd2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 22}
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id: 649579
{'conductor': 28050, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '28050.dd2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 649580
{'conductor': 28050, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '28050.dd2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 649581
{'conductor': 28050, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '28050.dd2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 649582
{'conductor': 28050, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '28050.dd2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1851265
{'adelic_gens': [[1498, 1, 1495, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1057, 4, 2114, 9], [2245, 4, 2, 9], [3929, 562, 560, 3927], [818, 1, 4079, 0], [4485, 4, 4484, 5]], 'adelic_image': '4488.12.0.?', 'conductor': 28050, 'lmfdb_label': '28050.dd2', 'prime': 0}
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id: 126816
{'conductor': 28050, 'elladic_image': '2.3.0.1', 'lmfdb_label': '28050.dd2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 28050.dd does not appear in ec_padic