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ec_curvedata • Show schema
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{'Ciso': '7014l', 'Clabel': '7014l4', 'Cnumber': 4, 'abc_quality': 1.082607845510609, 'absD': 27488595456, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1336, 'ainvs': [1, 1, 1, -22345047, 40646256621], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 167], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7014, 'degree': 193536, 'elladic_images': ['8.24.0.103'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4561056909440915409455143298', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [1233864675106127856683588593, 27488595456], 'lmfdb_iso': '7014.n', 'lmfdb_label': '7014.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -22345047, 40646256621], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.p.1.7', '668.12.0.?', '1336.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4561056909440915409455143298', 'prec': 100}, 'szpiro_ratio': 7.044074027299377, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, 1, 2, -1, -1, 1, 1, 2, 4, -1, 2, -1, -2, 1, 2, 1, 4, 2], 'aplist': [1, -1, 2, -1, 4, 2, 2, 4, 0, 6, 8, 2, -6, -8, 0, 2, 0, -10, 0, -16, -6, 16, 8, 10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 7014, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '7014.n', 'trace_hash': 1938345800099117922}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0073562029574282447792645481862', 'prec': 110}, 'conductor': 7014, 'gens': [], 'heights': [], 'lmfdb_label': '7014.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.42374975271717009764533110247', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8137477744545308788079799222082703360', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [[10915, -10919, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': [2, 0], '7': [0, 0], '167': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '7014.n1'}
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ec_torsion_growth • Show schema
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id: 368810
{'degree': 2, 'field': [-334, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [2, 2]}
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id: 368812
{'degree': 2, 'field': [-167, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [4]}
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id: 368811
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [4]}
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id: 368814
{'degree': 4, 'field': [334, 0, -48, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [8]}
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id: 368813
{'degree': 4, 'field': [6889, 0, -168, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [2, 4]}
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id: 368818
{'degree': 8, 'field': [-12288, 0, 4087, 0, -384, 0, 0, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [6]}
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id: 368817
{'degree': 8, 'field': [1, 0, -52, 0, 344, 0, -52, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [2, 8]}
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id: 368815
{'degree': 8, 'field': [267715044, 0, 392816, 0, -32708, 0, 8, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [2, 4]}
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id: 368816
{'degree': 8, 'field': [1565310096, 0, 24481737, 0, 156055, 0, 543, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [8]}
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id: 368823
{'degree': 16, 'field': [31741956, 0, -50028516, 0, 28371249, 0, -6326288, 0, 388748, 0, 4654, 0, -656, 0, -16, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [12]}
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id: 368824
{'degree': 16, 'field': [11576720441764, 0, -1260835781119, 0, 129319340770, 0, -7147420809, 0, 215609859, 0, -4052589, 0, 48931, 0, -334, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [12]}
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id: 368821
{'degree': 16, 'field': [29879823467536, 0, -108988509209216, 0, 21315421693216, 0, -603891895712, 0, 1047447046, 0, 19604464, 0, 30904, 0, -752, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [16]}
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id: 368822
{'degree': 16, 'field': [2963640433091584, 0, -161386979983232, 0, 8276437809280, 0, -228717465888, 0, 3449757744, 0, -32420712, 0, 195724, 0, -668, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [2, 6]}
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id: 368819
{'degree': 16, 'field': [4483841009097121, 0, 0, 0, 0, 0, 0, 0, 2276690626, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [4, 4]}
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id: 368820
{'degree': 16, 'field': [2450195696639529216, 0, 0, 0, 110806512474609, 0, 0, 0, 896616835, 0, 0, 0, -17261, 0, 0, 0, 1], 'lmfdb_label': '7014.n1', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 143573
{'conductor': 7014, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '7014.n1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
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id: 143574
{'conductor': 7014, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '7014.n1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 143575
{'conductor': 7014, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '7014.n1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 143576
{'conductor': 7014, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7014.n1', 'prime': 167, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1710370
{'adelic_gens': [[7, 6, 1330, 1331], [504, 1177, 529, 576], [1, 0, 8, 1], [168, 843, 505, 534], [20, 1, 783, 6], [1329, 8, 1328, 9], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '1336.48.0.?', 'conductor': 7014, 'lmfdb_label': '7014.n1', 'prime': 0}
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id: 34674
{'conductor': 7014, 'elladic_image': '8.24.0.103', 'lmfdb_label': '7014.n1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 7014.n does not appear in ec_padic