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ec_curvedata • Show schema
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{'Ciso': '528d', 'Clabel': '528d4', 'Cnumber': 4, 'abc_quality': 0.9609292254731742, 'absD': 89954304, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 1, 0, 88, -300], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 528, 'degree': 128, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.21241299985567583103979130813', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [36382894, 43923], 'lmfdb_iso': '528.i', 'lmfdb_label': '528.i4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 88, 300], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '12.12.0-4.c.1.2', '24.24.0-24.v.1.3', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42297191565760736925933813654', 'prec': 107}, 'szpiro_ratio': 4.0064524974509395, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, -1, 0, 2, 0, 2, 0, 6, 0, 0, 0], 'aplist': [0, 1, 2, 0, -1, 2, 6, 0, -4, 2, 0, -10, 6, 8, 4, -6, 12, 2, -4, -12, -14, -16, 12, 10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 528, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '528.i', 'trace_hash': 113322113631592837}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.65388355115854330939694131016', 'prec': 103}, 'conductor': 528, 'gens': [], 'heights': [], 'lmfdb_label': '528.i4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0240979253385002659680566918', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0481958506770005319361133836813310209', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[3, 0, 1]], 'xcoord_integral_points': [3]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '11': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '528.i4'}
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ec_torsion_growth • Show schema
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id: 23806
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '528.i4', 'torsion': [4]}
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id: 23807
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '528.i4', 'torsion': [4]}
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id: 23805
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '528.i4', 'torsion': [2, 2]}
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id: 23808
{'degree': 4, 'field': [4, 0, 2, 0, 1], 'lmfdb_label': '528.i4', 'torsion': [2, 4]}
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id: 23812
{'degree': 8, 'field': [-48, 0, -112, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '528.i4', 'torsion': [6]}
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id: 23811
{'degree': 8, 'field': [36, 0, 18, 0, 15, 0, -3, 0, 1], 'lmfdb_label': '528.i4', 'torsion': [8]}
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id: 23809
{'degree': 8, 'field': [81, 0, -108, 0, 60, 0, -12, 0, 1], 'lmfdb_label': '528.i4', 'torsion': [2, 4]}
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id: 23810
{'degree': 8, 'field': [324, 0, -272, 0, 108, 0, -24, 0, 1], 'lmfdb_label': '528.i4', 'torsion': [8]}
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id: 23814
{'degree': 16, 'field': [1, 0, -10, 0, 106, 0, 80, 0, -65, 0, 80, 0, 106, 0, -10, 0, 1], 'lmfdb_label': '528.i4', 'torsion': [2, 8]}
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id: 23813
{'degree': 16, 'field': [81, 0, -324, 0, 648, 0, -864, 0, 711, 0, -288, 0, 72, 0, -12, 0, 1], 'lmfdb_label': '528.i4', 'torsion': [4, 4]}
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id: 23817
{'degree': 16, 'field': [1521, 0, -11052, 0, 7272, 0, -3368, 0, 1238, 0, -524, 0, 100, 0, -16, 0, 1], 'lmfdb_label': '528.i4', 'torsion': [12]}
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id: 23818
{'degree': 16, 'field': [2304, 0, -5376, 0, 11392, 0, -2688, 0, 624, 0, -224, 0, 24, 0, 0, 0, 1], 'lmfdb_label': '528.i4', 'torsion': [12]}
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id: 23815
{'degree': 16, 'field': [2401, 0, 11956, 0, 21848, 0, 18816, 0, 9191, 0, 2592, 0, 392, 0, 28, 0, 1], 'lmfdb_label': '528.i4', 'torsion': [2, 8]}
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id: 23816
{'degree': 16, 'field': [99766, 153784, 255876, 159072, 51366, 15564, 4004, 8252, 4356, -1576, 602, 444, -204, -12, 24, -8, 1], 'lmfdb_label': '528.i4', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 5942
{'conductor': 528, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '528.i4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 5943
{'conductor': 528, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '528.i4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 5944
{'conductor': 528, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '528.i4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1668192
{'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 258, 259], [257, 8, 256, 9], [168, 41, 91, 78], [184, 3, 181, 2], [145, 8, 52, 33], [157, 164, 118, 27]], 'adelic_image': '264.48.0.?', 'conductor': 528, 'lmfdb_label': '528.i4', 'prime': 0}
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id: 2382
{'conductor': 528, 'elladic_image': '8.12.0.8', 'lmfdb_label': '528.i4', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 528.i does not appear in ec_padic