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ec_curvedata • Show schema
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{'Ciso': '1008l', 'Clabel': '1008l1', 'Cnumber': 1, 'abc_quality': 0.9822408596528094, 'absD': 48157949952, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [0, 0, 0, -579, 11842], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1008, 'degree': 768, 'elladic_images': ['16.48.0.102'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.73840733775177535453909367293', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-7189057, 16128], 'lmfdb_iso': '1008.j', 'lmfdb_label': '1008.j5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -4, 5], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '12.12.0-4.c.1.1', '14.6.0.b.1', '16.48.0.z.1', '24.48.0-8.bb.1.1', '28.12.0.g.1', '48.96.0-16.z.1.1', '56.48.0.bh.2', '84.24.0.?', '112.96.1.?', '168.96.0.?', '336.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50404598714222480057576106699', 'prec': 107}, 'szpiro_ratio': 4.667908050918441, '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, 2, 0, 1, 0, 0, 0, -4, 0, 6, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 2, 1, -4, 6, -2, 4, 8, 2, 0, -10, 6, 4, 0, -6, 4, 6, -4, 8, 10, 0, -4, 6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 1008, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '1008.j', 'trace_hash': 1050132074735481213}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.22836394435533818253074826517', 'prec': 103}, 'conductor': 1008, 'gens': [], 'heights': [], 'lmfdb_label': '1008.j5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0032752625700945964541095656', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0065505251401891929082191311383116601', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-31, 0, 1]], 'xcoord_integral_points': [-31]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '7': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '1008.j5'}
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ec_torsion_growth • Show schema
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id: 49326
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '1008.j5', 'torsion': [8]}
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id: 49325
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '1008.j5', 'torsion': [2, 2]}
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id: 49327
{'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '1008.j5', 'torsion': [4]}
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id: 49328
{'degree': 4, 'field': [22, 2, -1, -2, 1], 'lmfdb_label': '1008.j5', 'torsion': [2, 8]}
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id: 49332
{'degree': 8, 'field': [-48, 0, -60, 0, -36, 0, -4, 0, 1], 'lmfdb_label': '1008.j5', 'torsion': [6]}
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id: 49331
{'degree': 8, 'field': [-2, 4, -2, 0, 7, -4, -6, 0, 1], 'lmfdb_label': '1008.j5', 'torsion': [16]}
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id: 49329
{'degree': 8, 'field': [4, -8, 10, -8, 3, 5, -2, -1, 1], 'lmfdb_label': '1008.j5', 'torsion': [2, 4]}
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id: 49330
{'degree': 8, 'field': [9, 12, 31, -32, 20, -2, -1, -2, 1], 'lmfdb_label': '1008.j5', 'torsion': [8]}
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id: 49333
{'degree': 16, 'field': [1, -2, 2, -12, 13, 8, 30, -26, -12, -26, 30, 8, 13, -12, 2, -2, 1], 'lmfdb_label': '1008.j5', 'torsion': [4, 8]}
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id: 49334
{'degree': 16, 'field': [4, 0, -8, 40, 48, -152, 280, -332, 341, -344, 338, -256, 146, -56, 18, -4, 1], 'lmfdb_label': '1008.j5', 'torsion': [2, 16]}
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id: 49336
{'degree': 16, 'field': [9, -36, 144, -252, 651, -1134, 1932, -2052, 1768, -674, 112, 154, -77, 28, 4, -2, 1], 'lmfdb_label': '1008.j5', 'torsion': [16]}
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id: 49338
{'degree': 16, 'field': [36, 0, -1044, 0, 1872, 0, -1083, 0, -318, 0, 33, 0, 49, 0, 10, 0, 1], 'lmfdb_label': '1008.j5', 'torsion': [24]}
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id: 49335
{'degree': 16, 'field': [1432, -4720, 12088, -11760, 11244, 1520, -3352, 4064, -1790, 212, 262, -180, 95, -28, 10, -4, 1], 'lmfdb_label': '1008.j5', 'torsion': [2, 16]}
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id: 49337
{'degree': 16, 'field': [2304, 0, -3312, 0, 13104, 0, -12684, 0, 4893, 0, -840, 0, 70, 0, -8, 0, 1], 'lmfdb_label': '1008.j5', 'torsion': [2, 6]}
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id: 49339
{'degree': 16, 'field': [7056, 0, 7056, 0, 1764, 0, 8421, 0, -210, 0, 105, 0, 25, 0, 10, 0, 1], 'lmfdb_label': '1008.j5', 'torsion': [12]}
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ec_localdata • Show schema
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id: 14125
{'conductor': 1008, 'conductor_valuation': 4, 'discriminant_valuation': 20, 'j_denominator_valuation': 8, 'kodaira_symbol': -16, 'lmfdb_label': '1008.j5', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 14126
{'conductor': 1008, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '1008.j5', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 14127
{'conductor': 1008, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1008.j5', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1670943
{'adelic_gens': [[5, 4, 332, 333], [1, 16, 0, 1], [15, 2, 238, 323], [321, 16, 320, 17], [223, 0, 0, 335], [1, 240, 84, 85], [1, 0, 16, 1], [143, 96, 78, 65], [136, 225, 111, 10]], 'adelic_image': '336.192.1.?', 'conductor': 1008, 'lmfdb_label': '1008.j5', 'prime': 0}
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id: 4765
{'conductor': 1008, 'elladic_image': '16.48.0.102', 'lmfdb_label': '1008.j5', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 1008.j does not appear in ec_padic