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ec_curvedata • Show schema
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{'Ciso': '67280w', 'Clabel': '67280w1', 'Cnumber': 1, 'abc_quality': 1.1549644389304716, 'absD': 1000492825922000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 580, 'ainvs': [0, 0, 0, -26912, 756059], 'analytic_rank': 1, 'bad_primes': [2, 5, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 67280, 'degree': 241920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5728361149069035103717342926', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [226492416, 105125], 'lmfdb_iso': '67280.s', 'lmfdb_label': '67280.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -32, -31], 'min_quad_twist_disc': -116, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '116.6.0.?', '580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4639065053567991990646282810', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34186086027298193969231243073', 'prec': 107}, 'szpiro_ratio': 3.797430531672567, '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, 2, 0, -3, 0, -4, 0, -6, 0, 0, 0, 4, 0, 4, 0], 'aplist': [0, 0, 1, 2, -4, -6, 4, 4, -6, 0, 0, 8, 2, 4, -4, -2, -8, -10, 10, 8, 0, 8, 6, -6, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 67280, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '67280.s', 'trace_hash': 2252932205458508611}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.043037982905136681624753417676', 'prec': 107}, 'conductor': 67280, 'gens': [[-167, 770, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.4639065053567991990646282810', 'prec': 100}], 'lmfdb_label': '67280.s1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.44168703766982114159825598673', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9149489223582646523344044389093485871', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[29, 0, 1]], 'xcoord_integral_points': [-167, 29]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': 'a', '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '67280.s1'}
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ec_torsion_growth • Show schema
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id: 3205805
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '67280.s1', 'torsion': [2, 2]}
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id: 3205806
{'degree': 4, 'field': [81, 18, 12, -2, 1], 'lmfdb_label': '67280.s1', 'torsion': [4]}
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id: 3205809
{'degree': 8, 'field': [-2523, 0, -348, 0, 174, 0, 0, 0, 1], 'lmfdb_label': '67280.s1', 'torsion': [6]}
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id: 3205807
{'degree': 8, 'field': [1681, 0, -13016, 0, 1166, 0, -56, 0, 1], 'lmfdb_label': '67280.s1', 'torsion': [2, 4]}
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id: 3205808
{'degree': 8, 'field': [10505, -4350, 3866, -754, 279, -58, 16, 0, 1], 'lmfdb_label': '67280.s1', 'torsion': [2, 4]}
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id: 3205810
{'degree': 16, 'field': [4225, 0, 715200, 0, 32181040, 0, 232040, 0, 86594, 0, 7456, 0, 576, 0, 40, 0, 1], 'lmfdb_label': '67280.s1', 'torsion': [8]}
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id: 3205811
{'degree': 16, 'field': [5772625, 5987000, -7165300, 2766600, -2403010, 1208200, -374684, -29808, 17275, -10560, 6028, -2032, 278, 0, 20, -8, 1], 'lmfdb_label': '67280.s1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 1627673
{'conductor': 67280, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '67280.s1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1627674
{'conductor': 67280, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '67280.s1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 1627675
{'conductor': 67280, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '67280.s1', 'prime': 29, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2109416
{'adelic_gens': [[321, 4, 62, 9], [1, 2, 2, 5], [234, 1, 463, 0], [1, 4, 0, 1], [1, 0, 4, 1], [3, 4, 8, 11], [149, 436, 144, 435], [577, 4, 576, 5]], 'adelic_image': '580.12.0.?', 'conductor': 67280, 'lmfdb_label': '67280.s1', 'prime': 0}
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id: 281381
{'conductor': 67280, 'elladic_image': '2.3.0.1', 'lmfdb_label': '67280.s1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 3439175
{'lmfdb_iso': '67280.s', 'p': 7, 'prec': 20, 'unit': 4267458217668621, 'val': 1}
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id: 3439180
{'lmfdb_iso': '67280.s', 'p': 11, 'prec': 20, 'unit': 46753045391947580987, 'val': 1}
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id: 3439178
{'lmfdb_iso': '67280.s', 'p': 13, 'prec': 20, 'unit': 96873160589765063174, 'val': 1}
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id: 3439181
{'lmfdb_iso': '67280.s', 'p': 17, 'prec': 20, 'unit': 92410229853733666397610, 'val': 1}
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id: 3439182
{'lmfdb_iso': '67280.s', 'p': 19, 'prec': 20, 'unit': 494845091899899859804785, 'val': 1}
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id: 3439185
{'lmfdb_iso': '67280.s', 'p': 23, 'prec': 20, 'unit': 65660839090897906332516903, 'val': 1}
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id: 3439174
{'lmfdb_iso': '67280.s', 'p': 37, 'prec': 20, 'unit': 414923231846949465641271236364, 'val': 1}
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id: 3439176
{'lmfdb_iso': '67280.s', 'p': 41, 'prec': 20, 'unit': 3703393649989491312680044739369, 'val': 1}
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id: 3439177
{'lmfdb_iso': '67280.s', 'p': 43, 'prec': 20, 'unit': 2094010817238819227456547096037, 'val': 1}
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id: 3439188
{'lmfdb_iso': '67280.s', 'p': 47, 'prec': 20, 'unit': 5798014163807409315902826143460, 'val': 1}
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id: 3439183
{'lmfdb_iso': '67280.s', 'p': 53, 'prec': 20, 'unit': 257805736925270428591855318709993, 'val': 1}
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id: 3439184
{'lmfdb_iso': '67280.s', 'p': 59, 'prec': 20, 'unit': 1306762664359482630726136287781, 'val': 2}
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id: 3439189
{'lmfdb_iso': '67280.s', 'p': 61, 'prec': 20, 'unit': 4395629570049204121719159465164855, 'val': 1}
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id: 3439173
{'lmfdb_iso': '67280.s', 'p': 67, 'prec': 20, 'unit': 18183049635741598110436058226261152, 'val': 1}
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id: 3439187
{'lmfdb_iso': '67280.s', 'p': 71, 'prec': 20, 'unit': 139044724951190179949157164507603030, 'val': 1}
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id: 3439179
{'lmfdb_iso': '67280.s', 'p': 79, 'prec': 20, 'unit': 883500824678916419043721448852755513, 'val': 1}
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id: 3439172
{'lmfdb_iso': '67280.s', 'p': 83, 'prec': 20, 'unit': 2660452362864057767174304918095282518, 'val': 1}
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id: 3439186
{'lmfdb_iso': '67280.s', 'p': 89, 'prec': 20, 'unit': 10064313571904711677076461018009028480, 'val': 1}
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id: 3439171
{'lmfdb_iso': '67280.s', 'p': 97, 'prec': 20, 'unit': 12861760546927165632728358218197308414, 'val': 1}