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ec_curvedata • Show schema
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{'Ciso': '558c', 'Clabel': '558c3', 'Cnumber': 3, 'abc_quality': 1.0755914478549309, 'absD': 45198, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 744, 'ainvs': [1, -1, 0, -2976, -61750], 'analytic_rank': 0, 'bad_primes': [2, 3, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 558, 'degree': 256, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44122845881502031865980314352', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [3999236143617, 62], 'lmfdb_iso': '558.c', 'lmfdb_label': '558.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -331, 2397], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '24.24.0-8.p.1.5', '248.24.0.?', '372.12.0.?', '744.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10807768551903452703781947494', 'prec': 107}, 'szpiro_ratio': 5.630420164088473, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 2, 0, 0, -1, 0, -2, 0, 0, 2, 0, 0, 1, 6, 0, 4, 2], 'aplist': [-1, 0, 2, 0, 0, 2, 6, 4, -8, -2, -1, 10, 6, 8, 8, 6, 12, -6, -12, -8, 10, -8, -8, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 558, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '558.c', 'trace_hash': 1108103593589932940}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.41376507511554252311860599566', 'prec': 103}, 'conductor': 558, 'gens': [], 'heights': [], 'lmfdb_label': '558.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.64637489912550031965593828738', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2927497982510006393118765747521314202', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[-125, 125, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [8, 1], '3': 'a', '31': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '558.c1'}
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ec_torsion_growth • Show schema
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id: 25118
{'degree': 2, 'field': [-62, 0, 1], 'lmfdb_label': '558.c1', 'torsion': [2, 2]}
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id: 25120
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '558.c1', 'torsion': [4]}
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id: 25119
{'degree': 2, 'field': [93, 0, 1], 'lmfdb_label': '558.c1', 'torsion': [4]}
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id: 25121
{'degree': 4, 'field': [289, 0, -28, 0, 1], 'lmfdb_label': '558.c1', 'torsion': [2, 4]}
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id: 25125
{'degree': 8, 'field': [-8, -4, -20, -16, 4, 8, -8, -1, 1], 'lmfdb_label': '558.c1', 'torsion': [6]}
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id: 25124
{'degree': 8, 'field': [3844, 0, 992, 0, 194, 0, 16, 0, 1], 'lmfdb_label': '558.c1', 'torsion': [8]}
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id: 25123
{'degree': 8, 'field': [9604, 0, 872, 0, 185, 0, 7, 0, 1], 'lmfdb_label': '558.c1', 'torsion': [8]}
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id: 25122
{'degree': 8, 'field': [44944, 0, -18720, 0, -280, 0, -24, 0, 1], 'lmfdb_label': '558.c1', 'torsion': [2, 4]}
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id: 25131
{'degree': 16, 'field': [256, 0, 1816, 0, 292, 0, -1688, 0, 1468, 0, -188, 0, 16, 0, 4, 0, 1], 'lmfdb_label': '558.c1', 'torsion': [12]}
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id: 25128
{'degree': 16, 'field': [6561, 0, 20412, 0, 51192, 0, 33768, 0, 15967, 0, 3752, 0, 632, 0, 28, 0, 1], 'lmfdb_label': '558.c1', 'torsion': [2, 8]}
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id: 25127
{'degree': 16, 'field': [1864825, -4553640, 3509176, -826320, 286306, -516000, 173348, 197952, 20307, -8544, -8780, 192, 1102, -24, -52, 0, 1], 'lmfdb_label': '558.c1', 'torsion': [2, 8]}
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id: 25130
{'degree': 16, 'field': [4908238, 4397710, -3133611, -2432302, 971408, 308604, -130307, 28276, -12039, 1678, 1519, -1308, 491, -154, 42, -8, 1], 'lmfdb_label': '558.c1', 'torsion': [12]}
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id: 25126
{'degree': 16, 'field': [7890481, 0, 0, 0, 5868860, 0, 0, 0, -45642, 0, 0, 0, 284, 0, 0, 0, 1], 'lmfdb_label': '558.c1', 'torsion': [4, 4]}
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id: 25129
{'degree': 16, 'field': [953049184, -121204480, -1107326608, 236951520, 324699920, -51199616, -51243584, 4018224, 4697440, -104304, -254456, -2152, 8054, 156, -139, -2, 1], 'lmfdb_label': '558.c1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 6365
{'conductor': 558, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '558.c1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6366
{'conductor': 558, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '558.c1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6367
{'conductor': 558, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '558.c1', 'prime': 31, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1668326
{'adelic_gens': [[7, 6, 738, 739], [280, 411, 531, 64], [592, 225, 147, 382], [1, 0, 8, 1], [520, 3, 573, 250], [737, 8, 736, 9], [1, 8, 0, 1], [1, 4, 4, 17], [247, 0, 0, 743]], 'adelic_image': '744.48.0.?', 'conductor': 558, 'lmfdb_label': '558.c1', 'prime': 0}
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id: 2492
{'conductor': 558, 'elladic_image': '8.12.0.9', 'lmfdb_label': '558.c1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 558.c does not appear in ec_padic