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ec_curvedata • Show schema
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{'Ciso': '56350bl', 'Clabel': '56350bl1', 'Cnumber': 1, 'abc_quality': 0.9526210838125413, 'absD': 143143538300, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 9660, 'ainvs': [1, 0, 0, -1863, 24877], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 56350, 'degree': 54432, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.85668584991555190876981593915', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 3], 'jinv': [243135625, 48668], 'lmfdb_iso': '56350.bf', 'lmfdb_label': '56350.bf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -38, -89], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '92.2.0.?', '105.8.0.?', '276.8.0.?', '9660.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3588378387545449003870599429', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.38450887668445480621632032144', 'prec': 107}, 'szpiro_ratio': 3.126648815023058, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -2, 1, 0, -2, 0, 1, 1, 0, 3, -2, -1, 0, 0, 1, 0, 1, 1, 0], 'aplist': [1, -2, 0, 0, 3, -1, 0, 1, -1, -3, -2, -2, -3, 1, 0, 12, 6, -2, -8, -6, -7, -1, -9, 18, -4], 'class_deg': 3, 'class_size': 2, 'conductor': 56350, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '56350.bf', 'trace_hash': 510664521315543510}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.18025699437392237264334470522', 'prec': 103}, 'conductor': 56350, 'gens': [[6, 115, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3588378387545449003870599429', 'prec': 100}], 'lmfdb_label': '56350.bf2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.97851215445433841388785013691', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.5733273001249269278673838400833797142', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [6]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [5, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '56350.bf2'}
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ec_torsion_growth • Show schema
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id: 2717051
{'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '56350.bf2', 'torsion': [3]}
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id: 2717052
{'degree': 3, 'field': [2, -8, -1, 1], 'lmfdb_label': '56350.bf2', 'torsion': [2]}
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id: 2717054
{'degree': 6, 'field': [-54, -126, -60, 15, -5, -1, 1], 'lmfdb_label': '56350.bf2', 'torsion': [3]}
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id: 2717053
{'degree': 6, 'field': [8, 52, 53, -22, -26, -2, 1], 'lmfdb_label': '56350.bf2', 'torsion': [2, 2]}
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id: 2717055
{'degree': 6, 'field': [2571, -151, 300, -5, 10, -1, 1], 'lmfdb_label': '56350.bf2', 'torsion': [6]}
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id: 2717057
{'degree': 12, 'field': [2916, 6804, 12636, 9180, 5220, -2106, -309, -321, 100, -25, 6, -1, 1], 'lmfdb_label': '56350.bf2', 'torsion': [3, 3]}
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id: 2717056
{'degree': 12, 'field': [16384, -71680, -176512, -102240, 11480, 23390, 3960, -1715, -505, 90, 8, -5, 1], 'lmfdb_label': '56350.bf2', 'torsion': [4]}
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id: 2717058
{'degree': 12, 'field': [1646089, 0, 972998, 0, 400095, 0, 20980, 0, 1335, 0, 38, 0, 1], 'lmfdb_label': '56350.bf2', 'torsion': [2, 6]}
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id: 2717060
{'degree': 18, 'field': [-494280, 720, 2113260, 113190, -2569310, -1941810, -154964, -17254, -74116, 77685, 84845, -2534, -8744, 1384, 520, -60, -36, -1, 1], 'lmfdb_label': '56350.bf2', 'torsion': [6]}
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id: 2717059
{'degree': 18, 'field': [61949423789, 8439498320, 18650453096, 1491927063, 2056771315, 7802230, 142661060, -3724745, 11388260, -106035, 589611, -35785, 18189, -1573, 1215, -42, 5, -3, 1], 'lmfdb_label': '56350.bf2', 'torsion': [9]}
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ec_localdata • Show schema
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id: 1354107
{'conductor': 56350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '56350.bf2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 1354108
{'conductor': 56350, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '56350.bf2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 1354109
{'conductor': 56350, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '56350.bf2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1354110
{'conductor': 56350, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '56350.bf2', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2038138
{'adelic_gens': [[4, 3, 9, 7], [4026, 7021, 805, 1611], [6721, 1386, 6363, 4159], [6899, 0, 0, 9659], [9655, 6, 9654, 7], [4971, 6902, 5530, 1387], [1, 6, 0, 1], [3, 4, 8, 11], [4831, 1386, 693, 4159], [1, 0, 6, 1]], 'adelic_image': '9660.16.0.?', 'conductor': 56350, 'lmfdb_label': '56350.bf2', 'prime': 0}
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id: 239440
{'conductor': 56350, 'elladic_image': '3.4.0.1', 'lmfdb_label': '56350.bf2', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 2852386
{'lmfdb_iso': '56350.bf', 'p': 11, 'prec': 20, 'unit': 2950920035765141516, 'val': 1}
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id: 2852384
{'lmfdb_iso': '56350.bf', 'p': 13, 'prec': 20, 'unit': 300531501512023493047, 'val': 1}
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id: 2852387
{'lmfdb_iso': '56350.bf', 'p': 19, 'prec': 20, 'unit': 1691406623951261317237365, 'val': -1}
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id: 2852383
{'lmfdb_iso': '56350.bf', 'p': 29, 'prec': 20, 'unit': 5810748318504926788878592469, 'val': 1}
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id: 2852393
{'lmfdb_iso': '56350.bf', 'p': 31, 'prec': 20, 'unit': 1809981386969084617209149188, 'val': 1}
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id: 2852379
{'lmfdb_iso': '56350.bf', 'p': 37, 'prec': 20, 'unit': 169057224284874148173611824797, 'val': 1}
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id: 2852381
{'lmfdb_iso': '56350.bf', 'p': 41, 'prec': 20, 'unit': 4151300188060980941854044573131, 'val': 1}
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id: 2852382
{'lmfdb_iso': '56350.bf', 'p': 43, 'prec': 20, 'unit': 17349736709742954603582713872098, 'val': -1}
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id: 2852388
{'lmfdb_iso': '56350.bf', 'p': 53, 'prec': 20, 'unit': 492921520669309714295718393804883, 'val': 1}
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id: 2852391
{'lmfdb_iso': '56350.bf', 'p': 59, 'prec': 20, 'unit': 1110442799581994537417063571895, 'val': 1}
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id: 2852392
{'lmfdb_iso': '56350.bf', 'p': 61, 'prec': 20, 'unit': 6756268603797020483674238415405282, 'val': 1}
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id: 2852378
{'lmfdb_iso': '56350.bf', 'p': 67, 'prec': 20, 'unit': 25584979075191900964949852516773285, 'val': 1}
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id: 2852380
{'lmfdb_iso': '56350.bf', 'p': 71, 'prec': 20, 'unit': 91851582601405967251668848766743750, 'val': 1}
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id: 2852389
{'lmfdb_iso': '56350.bf', 'p': 73, 'prec': 20, 'unit': 192180477671141423504296270151390132, 'val': 1}
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id: 2852385
{'lmfdb_iso': '56350.bf', 'p': 79, 'prec': 20, 'unit': 178175610906739083962999695664114696, 'val': 1}
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id: 2852377
{'lmfdb_iso': '56350.bf', 'p': 83, 'prec': 20, 'unit': 1042488803293057158740019484051946814, 'val': 1}
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id: 2852390
{'lmfdb_iso': '56350.bf', 'p': 89, 'prec': 20, 'unit': 4918616953840288820775871136489264921, 'val': 1}
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id: 2852376
{'lmfdb_iso': '56350.bf', 'p': 97, 'prec': 20, 'unit': 31067672923750945712103159131120866520, 'val': 1}