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ec_curvedata • Show schema
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{'Ciso': '10944y', 'Clabel': '10944y1', 'Cnumber': 1, 'abc_quality': 0.8552482010379481, 'absD': 170201088, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 456, 'ainvs': [0, 0, 0, -660, 6496], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 10944, 'degree': 3072, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.42360048127170467653095600769', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2], 'jinv': [10648000, 57], 'lmfdb_iso': '10944.bk', 'lmfdb_label': '10944.bk1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -18, -24], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '114.6.0.?', '456.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.63912880383821586325941127721', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.81885284362229547858389873223', 'prec': 107}, 'szpiro_ratio': 3.3428489465910887, '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0], 'aplist': [0, 0, 0, 0, 0, 0, 2, 1, 6, 10, -10, -8, -6, -4, -6, -6, -12, 10, 8, 8, -2, -6, -12, 6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 10944, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '10944.bk', 'trace_hash': 1484730809300032094}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.42861295823080369816658580870', 'prec': 103}, 'conductor': 10944, 'gens': [[2, 72, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.63912880383821586325941127721', 'prec': 103}], 'lmfdb_label': '10944.bk1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.8195825053047354748686334384', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6517903604014386189606296699064775734', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[14, 0, 1]], 'xcoord_integral_points': [-18, 2, 14, 20]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 3, 0], '7': [1, 1, 0], '11': [1, 1, 0], '13': [1, 3, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '10944.bk1'}
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ec_torsion_growth • Show schema
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id: 567719
{'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '10944.bk1', 'torsion': [2, 2]}
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id: 567720
{'degree': 4, 'field': [3, 2, -1, -2, 1], 'lmfdb_label': '10944.bk1', 'torsion': [4]}
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id: 567723
{'degree': 8, 'field': [-972, 0, -1512, 0, 108, 0, 0, 0, 1], 'lmfdb_label': '10944.bk1', 'torsion': [6]}
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id: 567722
{'degree': 8, 'field': [36, 0, 444, 0, 13, 0, -2, 0, 1], 'lmfdb_label': '10944.bk1', 'torsion': [2, 4]}
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id: 567721
{'degree': 8, 'field': [13456, 0, -21992, 0, -183, 0, 52, 0, 1], 'lmfdb_label': '10944.bk1', 'torsion': [2, 4]}
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id: 567725
{'degree': 16, 'field': [36864, 0, 4141056, 0, -1853312, 0, 190464, 0, -2355, 0, 1232, 0, -246, 0, 0, 0, 1], 'lmfdb_label': '10944.bk1', 'torsion': [2, 6]}
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id: 567724
{'degree': 16, 'field': [8928144, 0, -2312064, 0, -135072, 0, 112320, 0, 8808, 0, 288, 0, -56, 0, -16, 0, 1], 'lmfdb_label': '10944.bk1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 234096
{'conductor': 10944, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '10944.bk1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 234097
{'conductor': 10944, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '10944.bk1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 234098
{'conductor': 10944, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10944.bk1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1736531
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [194, 1, 359, 0], [1, 2, 2, 5], [154, 1, 151, 0], [1, 4, 0, 1], [453, 4, 452, 5], [229, 4, 2, 9], [289, 172, 56, 399]], 'adelic_image': '456.12.0.?', 'conductor': 10944, 'lmfdb_label': '10944.bk1', 'prime': 0}
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id: 52692
{'conductor': 10944, 'elladic_image': '8.6.0.4', 'lmfdb_label': '10944.bk1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 470006
{'lmfdb_iso': '10944.bk', 'p': 17, 'prec': 20, 'unit': 217622835747214936795272, 'val': 1}
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id: 470011
{'lmfdb_iso': '10944.bk', 'p': 23, 'prec': 20, 'unit': 41840784693887091840950843, 'val': 1}
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id: 470004
{'lmfdb_iso': '10944.bk', 'p': 29, 'prec': 20, 'unit': 3085365324638823892652606821, 'val': 1}
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id: 470015
{'lmfdb_iso': '10944.bk', 'p': 31, 'prec': 20, 'unit': 11035177003218797801609179053, 'val': 1}
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id: 470000
{'lmfdb_iso': '10944.bk', 'p': 37, 'prec': 20, 'unit': 571809558857777332456572466023, 'val': 1}
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id: 470002
{'lmfdb_iso': '10944.bk', 'p': 41, 'prec': 20, 'unit': 3023209029866150080080699644506, 'val': 1}
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id: 470003
{'lmfdb_iso': '10944.bk', 'p': 43, 'prec': 20, 'unit': 6626592016106908068355144438581, 'val': 1}
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id: 470013
{'lmfdb_iso': '10944.bk', 'p': 47, 'prec': 20, 'unit': 34057438583959068552661801291937, 'val': 1}
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id: 470008
{'lmfdb_iso': '10944.bk', 'p': 53, 'prec': 20, 'unit': 321935385417729782285018642144481, 'val': 1}
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id: 470009
{'lmfdb_iso': '10944.bk', 'p': 59, 'prec': 20, 'unit': 1923112167015375909062012834455444, 'val': 1}
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id: 470014
{'lmfdb_iso': '10944.bk', 'p': 61, 'prec': 20, 'unit': 1982583100645279341963269882445015, 'val': 1}
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id: 469999
{'lmfdb_iso': '10944.bk', 'p': 67, 'prec': 20, 'unit': 19638392046629154928451230491377446, 'val': 1}
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id: 470001
{'lmfdb_iso': '10944.bk', 'p': 71, 'prec': 20, 'unit': 96503227202939409999801433460972088, 'val': 1}
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id: 470010
{'lmfdb_iso': '10944.bk', 'p': 73, 'prec': 20, 'unit': 232536953907677861953077924349979629, 'val': 1}
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id: 470005
{'lmfdb_iso': '10944.bk', 'p': 79, 'prec': 20, 'unit': 701648324913049729153506384523227573, 'val': 1}
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id: 470007
{'lmfdb_iso': '10944.bk', 'p': 83, 'prec': 20, 'unit': 1586608387300277432723133659805548362, 'val': 1}
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id: 470012
{'lmfdb_iso': '10944.bk', 'p': 89, 'prec': 20, 'unit': 1566415732904319437620113676605120400, 'val': 1}
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id: 469998
{'lmfdb_iso': '10944.bk', 'p': 97, 'prec': 20, 'unit': 50430947300379063886895456027225128069, 'val': 1}