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ec_curvedata • Show schema
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{'Ciso': '16560r', 'Clabel': '16560r1', 'Cnumber': 1, 'abc_quality': 1.0163812795552114, 'absD': 64385280, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2760, 'ainvs': [0, 0, 0, -1047, -13034], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 16560, 'degree': 6144, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.45038899357814732755761602039', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4], 'jinv': [680136784, 345], 'lmfdb_iso': '16560.bs', 'lmfdb_label': '16560.bs3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -116, -444], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '24.12.0-4.c.1.6', '120.24.0.?', '184.12.0.?', '276.12.0.?', '552.24.0.?', '690.6.0.?', '920.24.0.?', '1380.24.0.?', '2760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4607198479318440634669891126', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56101527112920439108482801238', 'prec': 107}, 'szpiro_ratio': 3.3428210657933835, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 1, 0, 4, 2, -2, 0, -1, 6, 0, -6, -2, -12, 0, -10, -12, -6, -12, -12, 2, -16, 16, -14, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 16560, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '16560.bs', 'trace_hash': 1133994574091622028}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.40625347677627232774448966668', 'prec': 103}, 'conductor': 16560, 'gens': [[45, 176, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4607198479318440634669891126', 'prec': 100}], 'lmfdb_label': '16560.bs3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.83931716742719047279417080463', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8092831600504254329621137110838743965', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-19, 0, 1]], 'xcoord_integral_points': [-19, 45]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [4, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '16560.bs3'}
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ec_torsion_growth • Show schema
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id: 846651
{'degree': 2, 'field': [-86, -1, 1], 'lmfdb_label': '16560.bs3', 'torsion': [2, 2]}
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id: 846652
{'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '16560.bs3', 'torsion': [4]}
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id: 846653
{'degree': 2, 'field': [69, 0, 1], 'lmfdb_label': '16560.bs3', 'torsion': [4]}
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id: 846654
{'degree': 4, 'field': [256, 0, 37, 0, 1], 'lmfdb_label': '16560.bs3', 'torsion': [2, 4]}
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id: 846658
{'degree': 8, 'field': [-3888, 0, 8208, 0, -216, 0, 0, 0, 1], 'lmfdb_label': '16560.bs3', 'torsion': [6]}
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id: 846656
{'degree': 8, 'field': [12321, 0, 3384, 0, 366, 0, 24, 0, 1], 'lmfdb_label': '16560.bs3', 'torsion': [8]}
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id: 846657
{'degree': 8, 'field': [15129, 0, -3816, 0, 646, 0, -40, 0, 1], 'lmfdb_label': '16560.bs3', 'torsion': [8]}
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id: 846655
{'degree': 8, 'field': [454276, 0, -97241, 0, 9411, 0, -191, 0, 1], 'lmfdb_label': '16560.bs3', 'torsion': [2, 4]}
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id: 846662
{'degree': 16, 'field': [3515625, 0, -327187500, 0, -170937500, 0, -26175000, 0, 18750, 0, 174500, 0, -300, 0, 0, 0, 1], 'lmfdb_label': '16560.bs3', 'torsion': [2, 6]}
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id: 846663
{'degree': 16, 'field': [7714116, -8139888, 11126784, -7492344, 5384604, -2706120, 1237932, -497208, 156388, -51968, 13612, -3820, 1124, -244, 64, -8, 1], 'lmfdb_label': '16560.bs3', 'torsion': [12]}
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id: 846660
{'degree': 16, 'field': [165894400, 0, 88908800, 0, 23127760, 0, 3738320, 0, 407716, 0, 31016, 0, 1636, 0, 56, 0, 1], 'lmfdb_label': '16560.bs3', 'torsion': [2, 8]}
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id: 846661
{'degree': 16, 'field': [204375616, 0, -103994688, 0, 29858608, 0, -5302320, 0, 622836, 0, -48360, 0, 2428, 0, -72, 0, 1], 'lmfdb_label': '16560.bs3', 'torsion': [2, 8]}
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id: 846664
{'degree': 16, 'field': [293718493, -324763568, 415417416, -481079492, 348049540, -101292756, 139772, 5023496, -622338, -70864, 48188, -12516, 1324, 28, 24, -8, 1], 'lmfdb_label': '16560.bs3', 'torsion': [12]}
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id: 846659
{'degree': 16, 'field': [27982932961, 0, 0, 0, 388233106, 0, 0, 0, 1618131, 0, 0, 0, 946, 0, 0, 0, 1], 'lmfdb_label': '16560.bs3', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 367218
{'conductor': 16560, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '16560.bs3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 367219
{'conductor': 16560, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '16560.bs3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 367220
{'conductor': 16560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '16560.bs3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 367221
{'conductor': 16560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '16560.bs3', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1774060
{'adelic_gens': [[1043, 1038, 1730, 347], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1328, 3, 485, 2], [916, 2759, 1817, 2754], [7, 6, 2754, 2755], [1108, 1, 2231, 6], [1031, 1032, 2402, 1025], [2753, 8, 2752, 9]], 'adelic_image': '2760.48.0.?', 'conductor': 16560, 'lmfdb_label': '16560.bs3', 'prime': 0}
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id: 77553
{'conductor': 16560, 'elladic_image': '4.6.0.1', 'lmfdb_label': '16560.bs3', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 750807
{'lmfdb_iso': '16560.bs', 'p': 11, 'prec': 20, 'unit': 15895274226561625475, 'val': 1}
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id: 750813
{'lmfdb_iso': '16560.bs', 'p': 13, 'prec': 20, 'unit': 1170617262244250413043, 'val': 1}
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id: 750815
{'lmfdb_iso': '16560.bs', 'p': 17, 'prec': 20, 'unit': 219405888757200492979241, 'val': 1}
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id: 750812
{'lmfdb_iso': '16560.bs', 'p': 29, 'prec': 20, 'unit': 607475708637715120828875954, 'val': 1}
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id: 750808
{'lmfdb_iso': '16560.bs', 'p': 37, 'prec': 20, 'unit': 77115404307239499164985126693, 'val': 1}
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id: 750810
{'lmfdb_iso': '16560.bs', 'p': 41, 'prec': 20, 'unit': 3362450114718919002322500764537, 'val': 1}
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id: 750811
{'lmfdb_iso': '16560.bs', 'p': 43, 'prec': 20, 'unit': 5666262284965647878662580773369, 'val': 1}
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id: 750817
{'lmfdb_iso': '16560.bs', 'p': 53, 'prec': 20, 'unit': 167142089809760337905187047550335, 'val': 1}
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id: 750820
{'lmfdb_iso': '16560.bs', 'p': 59, 'prec': 20, 'unit': 2228913249718537682996883257497991, 'val': 1}
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id: 750821
{'lmfdb_iso': '16560.bs', 'p': 61, 'prec': 20, 'unit': 5110215729949526360877514137933258, 'val': 1}
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id: 750806
{'lmfdb_iso': '16560.bs', 'p': 67, 'prec': 20, 'unit': 3384213445893291469297427885263280, 'val': 1}
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id: 750809
{'lmfdb_iso': '16560.bs', 'p': 71, 'prec': 20, 'unit': 19558057313094449530552979486395101, 'val': 1}
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id: 750818
{'lmfdb_iso': '16560.bs', 'p': 73, 'prec': 20, 'unit': 172101478760099750771879335856263804, 'val': 1}
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id: 750814
{'lmfdb_iso': '16560.bs', 'p': 79, 'prec': 20, 'unit': 728997209281006257372022936808670977, 'val': 1}
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id: 750816
{'lmfdb_iso': '16560.bs', 'p': 83, 'prec': 20, 'unit': 2165897383901347790226795845960440067, 'val': 1}
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id: 750819
{'lmfdb_iso': '16560.bs', 'p': 89, 'prec': 20, 'unit': 847582256505813350689882828313527401, 'val': 1}
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id: 750805
{'lmfdb_iso': '16560.bs', 'p': 97, 'prec': 20, 'unit': 28931815546689546610438352967251281647, 'val': 1}