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ec_curvedata • Show schema
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{'Ciso': '585b', 'Clabel': '585b2', 'Cnumber': 2, 'abc_quality': 0.9400430053541569, 'absD': 31984875, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 390, 'ainvs': [0, 0, 1, -378, -2842], 'analytic_rank': 0, 'bad_primes': [3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 585, 'degree': 144, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.28459153087547604472902533227', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [-303464448, 1625], 'lmfdb_iso': '585.e', 'lmfdb_label': '585.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -378, -2842], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '390.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.53936768562560622381740859542', 'prec': 107}, 'szpiro_ratio': 4.618532471893515, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, -2, -1, 0, -1, 0, 0, 0, 3, 0, 1, 0, 0, 4, 3, 0, -4, 2], 'aplist': [0, 0, -1, -1, 3, 1, 3, -4, 9, 6, 2, -1, 3, 2, 6, -9, 12, 5, -4, -9, 14, -7, 0, -15, 5], 'class_deg': 3, 'class_size': 2, 'conductor': 585, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '585.e', 'trace_hash': 1319272468007822213}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.56598762682509445598141373898', 'prec': 103}, 'conductor': 585, 'gens': [], 'heights': [], 'lmfdb_label': '585.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.54119969763038307506979103546', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0823993952607661501395820709263313330', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 2, 0], '3': 'a', '5': [0, 0], '13': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '585.e1'}
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ec_torsion_growth • Show schema
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id: 26758
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '585.e1', 'torsion': [3]}
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id: 26760
{'degree': 3, 'field': [-13, 0, 0, 1], 'lmfdb_label': '585.e1', 'torsion': [3]}
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id: 26759
{'degree': 3, 'field': [-5, -1, -1, 1], 'lmfdb_label': '585.e1', 'torsion': [2]}
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id: 26763
{'degree': 6, 'field': [25, 5, -4, 11, 2, -1, 1], 'lmfdb_label': '585.e1', 'torsion': [6]}
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id: 26762
{'degree': 6, 'field': [196, -42, -33, 19, 6, -3, 1], 'lmfdb_label': '585.e1', 'torsion': [3, 3]}
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id: 26761
{'degree': 6, 'field': [780, 0, 16, 0, -8, 0, 1], 'lmfdb_label': '585.e1', 'torsion': [2, 2]}
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id: 26764
{'degree': 9, 'field': [18, 1602, -1962, 1929, 129, -48, 29, 0, -3, 1], 'lmfdb_label': '585.e1', 'torsion': [6]}
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id: 26766
{'degree': 12, 'field': [16, 80, 472, -336, 388, 106, -77, 91, -8, -9, 8, -3, 1], 'lmfdb_label': '585.e1', 'torsion': [2, 6]}
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id: 26765
{'degree': 12, 'field': [6921, 20754, 6048, 5868, 15045, 2316, 2328, 444, 115, 62, -12, -4, 1], 'lmfdb_label': '585.e1', 'torsion': [4]}
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id: 26768
{'degree': 18, 'field': [300, 3600, 20280, 70560, 159918, 227904, 183073, 50847, -28773, -17586, 6267, 4209, -1384, -309, 279, -108, 39, -9, 1], 'lmfdb_label': '585.e1', 'torsion': [3, 6]}
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id: 26767
{'degree': 18, 'field': [4826809, 0, 0, -942513, 0, 0, 147030, 0, 0, -7085, 0, 0, 870, 0, 0, -33, 0, 0, 1], 'lmfdb_label': '585.e1', 'torsion': [9]}
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id: 26769
{'degree': 18, 'field': [7414875, 0, 0, 0, 0, 0, 1128751, 0, 0, 0, 0, 0, -143, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '585.e1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 6863
{'conductor': 585, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '585.e1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 6864
{'conductor': 585, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '585.e1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6865
{'conductor': 585, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '585.e1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1668489
{'adelic_gens': [[385, 6, 384, 7], [3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [157, 6, 81, 19], [324, 59, 257, 306], [301, 6, 123, 19], [1, 6, 0, 1]], 'adelic_image': '390.16.0.?', 'conductor': 585, 'lmfdb_label': '585.e1', 'prime': 0}
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id: 2637
{'conductor': 585, 'elladic_image': '3.8.0.2', 'lmfdb_label': '585.e1', 'modell_image': '3B.1.2', 'prime': 3}
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lmfdb_iso 585.e does not appear in ec_padic