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ec_curvedata • Show schema
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{'Ciso': '4560ba', 'Clabel': '4560ba2', 'Cnumber': 2, 'abc_quality': 0.8901292606251464, 'absD': 221798400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2280, 'ainvs': [0, 1, 0, -480, 3828], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4560, 'degree': 2304, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.39672023737684288727536253905', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [2992209121, 54150], 'lmfdb_iso': '4560.bc', 'lmfdb_label': '4560.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -30, -75], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.a.1', '380.6.0.?', '2280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '-0.29642694318310242214186958241', 'prec': 107}, 'szpiro_ratio': 3.577064129667583, '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, 1, 0, 2, 0, 1, 0, 0, 0, 6, 0, 1, 0, 8, 0, -1, 0], 'aplist': [0, 1, 1, 2, 0, 6, 8, -1, 4, 2, 2, -2, -12, -4, -12, 10, -6, -14, 12, 8, -10, -14, -2, 0, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 4560, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4560.bc', 'trace_hash': 1859678299069801785}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.45228603669444739299799227190', 'prec': 103}, 'conductor': 4560, 'gens': [], 'heights': [], 'lmfdb_label': '4560.bc1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.7720755592984746979465964473', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5441511185969493958931928945928264644', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[11, 0, 1]], 'xcoord_integral_points': [11]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '19': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '4560.bc1'}
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ec_torsion_growth • Show schema
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id: 238216
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '4560.bc1', 'torsion': [2, 2]}
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id: 238217
{'degree': 4, 'field': [64, 8, 8, -1, 1], 'lmfdb_label': '4560.bc1', 'torsion': [4]}
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id: 238220
{'degree': 8, 'field': [-11163, 0, -6472, 0, -366, 0, 0, 0, 1], 'lmfdb_label': '4560.bc1', 'torsion': [6]}
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id: 238218
{'degree': 8, 'field': [1000, 2880, 2720, 816, -108, -96, -28, 0, 1], 'lmfdb_label': '4560.bc1', 'torsion': [2, 4]}
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id: 238219
{'degree': 8, 'field': [2704, -1248, 610, 1372, 419, 20, 6, -4, 1], 'lmfdb_label': '4560.bc1', 'torsion': [2, 4]}
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id: 238222
{'degree': 16, 'field': [254016, 0, -1950912, 0, 2073636, 0, -1048464, 0, 151776, 0, -12756, 0, 936, 0, -48, 0, 1], 'lmfdb_label': '4560.bc1', 'torsion': [2, 6]}
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id: 238221
{'degree': 16, 'field': [429981696, 0, -227448000, 0, 48353976, 0, 784620, 0, 10716, 0, -9300, 0, 706, 0, -45, 0, 1], 'lmfdb_label': '4560.bc1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 87132
{'conductor': 4560, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '4560.bc1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 87133
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4560.bc1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 87134
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4560.bc1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 87135
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4560.bc1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1693642
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2277, 4, 2276, 5], [2, 1, 1139, 0], [457, 4, 914, 9], [1522, 1, 1519, 0], [1921, 4, 1562, 9], [1996, 289, 1425, 856]], 'adelic_image': '2280.12.0.?', 'conductor': 4560, 'lmfdb_label': '4560.bc1', 'prime': 0}
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id: 22621
{'conductor': 4560, 'elladic_image': '2.3.0.1', 'lmfdb_label': '4560.bc1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 4560.bc does not appear in ec_padic