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ec_curvedata • Show schema
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{'Ciso': '55440ct', 'Clabel': '55440ct2', 'Cnumber': 2, 'abc_quality': 0.9731798082788007, 'absD': 11525507879400345600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -1723683, -855580318], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 55440, 'degree': 983040, 'elladic_images': ['8.24.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4484431255507942064073977112', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [189674274234120481, 3859869269025], 'lmfdb_iso': '55440.e', 'lmfdb_label': '55440.e5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -11970, -496125], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.10', '12.24.0-4.b.1.1', '24.48.0-24.i.2.10', '56.48.0-56.h.2.10', '168.96.0.?', '220.24.0.?', '440.48.0.?', '660.48.0.?', '1320.96.0.?', '3080.96.0.?', '9240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.2348339501448337795325086973', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2059898006567940512925429713', 'prec': 100}, 'szpiro_ratio': 5.007162956468476, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 0, -2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -1, -1, -1, -2, -2, -4, 0, -6, 0, 6, 6, 4, 0, 2, 4, 6, -12, 0, 10, -8, -4, -10, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 55440, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '55440.e', 'trace_hash': 1127076466687452751}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0074698059971758557797160395102', 'prec': 110}, 'conductor': 55440, 'gens': [[-799, 3400, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.2348339501448337795325086973', 'prec': 100}], 'lmfdb_label': '55440.e5', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13192358493735512655860988122', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4693958105402168365832229393300397004', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-674, 0, 1], [1513, 0, 1]], 'xcoord_integral_points': [-839, -799, -674, 1513, 8863]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 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': '55440.e5'}
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ec_torsion_growth • Show schema
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id: 2676574
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '55440.e5', 'torsion': [2, 4]}
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id: 2676576
{'degree': 4, 'field': [196, -14, -13, -1, 1], 'lmfdb_label': '55440.e5', 'torsion': [2, 4]}
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id: 2676575
{'degree': 4, 'field': [3025, 0, 55, 0, 1], 'lmfdb_label': '55440.e5', 'torsion': [2, 4]}
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id: 2676580
{'degree': 8, 'field': [-3267, 0, 0, 0, 198, 0, -23, 0, 1], 'lmfdb_label': '55440.e5', 'torsion': [2, 6]}
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id: 2676579
{'degree': 8, 'field': [16, 0, 12, 0, 5, 0, 3, 0, 1], 'lmfdb_label': '55440.e5', 'torsion': [2, 8]}
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id: 2676578
{'degree': 8, 'field': [3600, 0, -9060, 0, 1489, 0, -74, 0, 1], 'lmfdb_label': '55440.e5', 'torsion': [2, 8]}
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id: 2676577
{'degree': 8, 'field': [38416, 0, 5292, 0, 533, 0, 27, 0, 1], 'lmfdb_label': '55440.e5', 'torsion': [4, 4]}
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id: 2676582
{'degree': 16, 'field': [38416, 0, -16072, 0, 1040, 0, -3162, 0, 809, 0, 222, 0, -25, 0, 2, 0, 1], 'lmfdb_label': '55440.e5', 'torsion': [2, 8]}
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id: 2676584
{'degree': 16, 'field': [221733, 449568, -352242, -150234, -30816, 114636, -22745, -3032, -11076, 6584, -307, -192, -241, 98, 6, -8, 1], 'lmfdb_label': '55440.e5', 'torsion': [2, 12]}
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id: 2676581
{'degree': 16, 'field': [331776, 0, 27611136, 0, 2297436160, 0, 35216384, 0, -2143296, 0, -54656, 0, 2400, 0, 56, 0, 1], 'lmfdb_label': '55440.e5', 'torsion': [2, 8]}
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id: 2676583
{'degree': 16, 'field': [2134809616, 0, -940440500, 0, 204385553, 0, -27242316, 0, 2369684, 0, -135294, 0, 4916, 0, -104, 0, 1], 'lmfdb_label': '55440.e5', 'torsion': [4, 8]}
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ec_localdata • Show schema
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id: 1331822
{'conductor': 55440, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '55440.e5', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1331823
{'conductor': 55440, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '55440.e5', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1331824
{'conductor': 55440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '55440.e5', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1331825
{'conductor': 55440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '55440.e5', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1331826
{'conductor': 55440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '55440.e5', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2032329
{'adelic_gens': [[9233, 8, 9232, 9], [1, 0, 8, 1], [1, 8, 0, 1], [3079, 9236, 0, 9239], [5, 4, 9236, 9237], [8407, 6, 3354, 9235], [7399, 6, 5538, 9235], [4625, 6936, 6924, 4613], [9235, 6924, 26, 2341], [5281, 8, 2644, 33]], 'adelic_image': '9240.192.1.?', 'conductor': 55440, 'lmfdb_label': '55440.e5', 'prime': 0}
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id: 236063
{'conductor': 55440, 'elladic_image': '8.24.0.14', 'lmfdb_label': '55440.e5', 'modell_image': '2Cs', 'prime': 2}
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ec_padic • Show schema
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id: 2804516
{'lmfdb_iso': '55440.e', 'p': 13, 'prec': 20, 'unit': 1136636431248265719389, 'val': 1}
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id: 2804518
{'lmfdb_iso': '55440.e', 'p': 17, 'prec': 20, 'unit': 91060221605040375316437, 'val': 1}
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id: 2804509
{'lmfdb_iso': '55440.e', 'p': 19, 'prec': 20, 'unit': 896879900062103752558394, 'val': 1}
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id: 2804515
{'lmfdb_iso': '55440.e', 'p': 29, 'prec': 20, 'unit': 258741186306448516121680958, 'val': 1}
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id: 2804512
{'lmfdb_iso': '55440.e', 'p': 37, 'prec': 20, 'unit': 540153925617076484893781873868, 'val': 1}
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id: 2804513
{'lmfdb_iso': '55440.e', 'p': 41, 'prec': 20, 'unit': 3644377015981416717801621890701, 'val': 1}
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id: 2804514
{'lmfdb_iso': '55440.e', 'p': 43, 'prec': 20, 'unit': 9905835816021961084779555777602, 'val': 1}
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id: 2804520
{'lmfdb_iso': '55440.e', 'p': 53, 'prec': 20, 'unit': 170711796074316275486646995175926, 'val': 1}
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id: 2804523
{'lmfdb_iso': '55440.e', 'p': 59, 'prec': 20, 'unit': 2863112085800785121891162502822557, 'val': 1}
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id: 2804524
{'lmfdb_iso': '55440.e', 'p': 61, 'prec': 20, 'unit': 5069134410058091102810205735299319, 'val': 1}
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id: 2804511
{'lmfdb_iso': '55440.e', 'p': 67, 'prec': 20, 'unit': 6828220850305795927373053332522266, 'val': 1}
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id: 2804521
{'lmfdb_iso': '55440.e', 'p': 73, 'prec': 20, 'unit': 233134820560718313462754745796614800, 'val': 1}
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id: 2804517
{'lmfdb_iso': '55440.e', 'p': 79, 'prec': 20, 'unit': 378866485783420448773792129895684654, 'val': 1}
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id: 2804519
{'lmfdb_iso': '55440.e', 'p': 83, 'prec': 20, 'unit': 2532433210839271331727895335333752404, 'val': 1}
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id: 2804522
{'lmfdb_iso': '55440.e', 'p': 89, 'prec': 20, 'unit': 3274867637367570218797082017777630676, 'val': 1}
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id: 2804510
{'lmfdb_iso': '55440.e', 'p': 97, 'prec': 20, 'unit': 45613993730195244028477209138544912654, 'val': 1}