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ec_curvedata • Show schema
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{'Ciso': '6440c', 'Clabel': '6440c1', 'Cnumber': 1, 'abc_quality': 0.8007742311854457, 'absD': 118496000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 70, 'ainvs': [0, 1, 0, -201, -1285], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 6440, 'degree': 1728, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.28220283083846097980256170010', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1], 'jinv': [-3525581824, 462875], 'lmfdb_iso': '6440.j', 'lmfdb_label': '6440.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -201, -1285], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['70.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.88771629252895388339155894067', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.17989528953483589314225971421', 'prec': 107}, 'szpiro_ratio': 3.1621502074712216, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -1, 0, 1, 0, -2, 0, -3, 0, 3, 0, -1, 0, 3, 0, 0, 0], 'aplist': [0, 1, -1, 1, -3, 3, 3, 0, 1, -9, 2, -4, 4, -2, 13, -2, -6, -6, -12, -8, -6, -13, 12, 6, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 6440, 'isogeny_matrix': [[1]], 'lmfdb_iso': '6440.j', 'trace_hash': 35422071330189523}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.56869804537717165705808957138', 'prec': 103}, 'conductor': 6440, 'gens': [[19, 46, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.88771629252895388339155894067', 'prec': 103}], 'lmfdb_label': '6440.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.62910458178984750759067909612', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4677310956756917142480156296097673342', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [19, 61]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6440.j1'}
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ec_torsion_growth • Show schema
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id: 337046
{'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '6440.j1', 'torsion': [2]}
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id: 337047
{'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '6440.j1', 'torsion': [2, 2]}
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id: 337048
{'degree': 8, 'field': [-21675, 0, 6308, 0, -510, 0, 0, 0, 1], 'lmfdb_label': '6440.j1', 'torsion': [3]}
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id: 337049
{'degree': 12, 'field': [-38617, 73002, -33580, 16468, -20235, 1832, -88, 616, 125, -26, -24, 0, 1], 'lmfdb_label': '6440.j1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 129724
{'conductor': 6440, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '6440.j1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 129725
{'conductor': 6440, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6440.j1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 129726
{'conductor': 6440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6440.j1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 129727
{'conductor': 6440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6440.j1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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{'adelic_gens': [[69, 2, 68, 3], [1, 2, 0, 1], [31, 2, 31, 3], [1, 0, 2, 1], [57, 2, 57, 3], [1, 1, 69, 0]], 'adelic_image': '70.2.0.?', 'conductor': 6440, 'lmfdb_label': '6440.j1', 'prime': 0}
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ec_padic • Show schema
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id: 254141
{'lmfdb_iso': '6440.j', 'p': 11, 'prec': 20, 'unit': 11769072723872815974, 'val': 1}
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id: 254147
{'lmfdb_iso': '6440.j', 'p': 13, 'prec': 20, 'unit': 490261153814912034497, 'val': 1}
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id: 254149
{'lmfdb_iso': '6440.j', 'p': 17, 'prec': 20, 'unit': 13585878166782997655019, 'val': 1}
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id: 254146
{'lmfdb_iso': '6440.j', 'p': 29, 'prec': 20, 'unit': 1139787285156257854931651396, 'val': 1}
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id: 254157
{'lmfdb_iso': '6440.j', 'p': 31, 'prec': 20, 'unit': 16031356375044987734324301757, 'val': 1}
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id: 254142
{'lmfdb_iso': '6440.j', 'p': 37, 'prec': 20, 'unit': 562014569887509166648420765410, 'val': 1}
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id: 254144
{'lmfdb_iso': '6440.j', 'p': 41, 'prec': 20, 'unit': 4277026501017241100808173593833, 'val': 1}
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id: 254145
{'lmfdb_iso': '6440.j', 'p': 43, 'prec': 20, 'unit': 9334225255093864614477417480390, 'val': 1}
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id: 254155
{'lmfdb_iso': '6440.j', 'p': 47, 'prec': 20, 'unit': 22291496821815885296075145734696, 'val': 1}
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id: 254151
{'lmfdb_iso': '6440.j', 'p': 53, 'prec': 20, 'unit': 138967141296995532913413461523231, 'val': 1}
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id: 254152
{'lmfdb_iso': '6440.j', 'p': 59, 'prec': 20, 'unit': 2398714263558960144494064358266932, 'val': 1}
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id: 254156
{'lmfdb_iso': '6440.j', 'p': 61, 'prec': 20, 'unit': 5598000936958126909839853570558214, 'val': 1}
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id: 254150
{'lmfdb_iso': '6440.j', 'p': 67, 'prec': 20, 'unit': 15206061138979631919220994869071423, 'val': 1}
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id: 254143
{'lmfdb_iso': '6440.j', 'p': 71, 'prec': 20, 'unit': 142340902206543310343495075161780812, 'val': 1}
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id: 254153
{'lmfdb_iso': '6440.j', 'p': 73, 'prec': 20, 'unit': 153733126801371079356615610471146411, 'val': 1}
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id: 254148
{'lmfdb_iso': '6440.j', 'p': 79, 'prec': 20, 'unit': 600695426283242664124685848825681320, 'val': 1}
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id: 254140
{'lmfdb_iso': '6440.j', 'p': 83, 'prec': 20, 'unit': 1811800512870504595347334227246707376, 'val': 1}
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id: 254154
{'lmfdb_iso': '6440.j', 'p': 89, 'prec': 20, 'unit': 7239621166595134552616594203154751486, 'val': 1}
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id: 254139
{'lmfdb_iso': '6440.j', 'p': 97, 'prec': 20, 'unit': 32700869963800861304366727732473545897, 'val': 1}