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ec_curvedata • Show schema
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{'Ciso': '8550e', 'Clabel': '8550e2', 'Cnumber': 2, 'abc_quality': 1.0156937260858383, 'absD': 1903791274101562500, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1140, 'ainvs': [1, -1, 0, -4471992, 3641708916], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 8550, 'degree': 288000, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5079714045511864108297181766', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 5, 'isogeny_degrees': [1, 5], 'jinv': [-1389310279182025, 267418692], 'lmfdb_iso': '8550.f', 'lmfdb_label': '8550.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19875, -1086975], 'min_quad_twist_disc': -15, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '15.24.0-5.a.2.1', '228.2.0.?', '380.24.0.?', '1140.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.61746699985538125296479611378', 'prec': 103}, 'szpiro_ratio': 6.3569650699698315, '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, -2, -1, 0, 0, 3, 0, -6, 2, 0, 1, 2, 0, -1, 0], 'aplist': [-1, 0, 0, -2, 3, -6, 2, -1, 1, 5, 7, -2, -2, -6, 12, -9, 10, -13, -7, -12, 9, 5, 1, -5, -12], 'class_deg': 5, 'class_size': 2, 'conductor': 8550, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '8550.f', 'trace_hash': 2119674276182634904}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0066313769664410032406085287812', 'prec': 110}, 'conductor': 8550, 'gens': [], 'heights': [], 'lmfdb_label': '8550.f1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.25550207247079620780245196391', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0220082898831848312098078556497072141', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [11, 0], '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [2, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '8550.f1'}
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ec_torsion_growth • Show schema
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id: 447178
{'degree': 3, 'field': [7, 17, -1, 1], 'lmfdb_label': '8550.f1', 'torsion': [2]}
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id: 447179
{'degree': 4, 'field': [1, 4, -4, -1, 1], 'lmfdb_label': '8550.f1', 'torsion': [5]}
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id: 447180
{'degree': 6, 'field': [2052, 0, -108, 0, 9, 0, 1], 'lmfdb_label': '8550.f1', 'torsion': [2, 2]}
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id: 447181
{'degree': 8, 'field': [-176, -1450, 223, -683, 110, -83, 10, -1, 1], 'lmfdb_label': '8550.f1', 'torsion': [3]}
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id: 447182
{'degree': 10, 'field': [36, 0, 0, 0, 0, -6, 0, 0, 0, 0, 1], 'lmfdb_label': '8550.f1', 'torsion': [5]}
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id: 447183
{'degree': 12, 'field': [-7344, -1368, 4784, -2030, 845, 1442, -691, -342, 100, 20, -11, -2, 1], 'lmfdb_label': '8550.f1', 'torsion': [4]}
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id: 447184
{'degree': 12, 'field': [720, 0, -300, 0, 385, 0, -170, 0, 35, 0, -10, 0, 1], 'lmfdb_label': '8550.f1', 'torsion': [10]}
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ec_localdata • Show schema
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id: 178410
{'conductor': 8550, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '8550.f1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 178411
{'conductor': 8550, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '8550.f1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 178412
{'conductor': 8550, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '8550.f1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 178413
{'conductor': 8550, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '8550.f1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1720577
{'adelic_gens': [[567, 1130, 1120, 731], [571, 10, 575, 51], [781, 10, 485, 51], [1131, 10, 1130, 11], [1, 0, 10, 1], [379, 1130, 755, 1089], [6, 13, 1085, 1021], [1, 10, 0, 1]], 'adelic_image': '1140.48.1.?', 'conductor': 8550, 'lmfdb_label': '8550.f1', 'prime': 0}
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id: 41977
{'conductor': 8550, 'elladic_image': '5.12.0.2', 'lmfdb_label': '8550.f1', 'modell_image': '5B.4.2', 'prime': 5}
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lmfdb_iso 8550.f does not appear in ec_padic