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ec_curvedata • Show schema
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{'Ciso': '34a', 'Clabel': '34a4', 'Cnumber': 4, 'abc_quality': 1.0684849196783666, 'absD': 48275138, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 408, 'ainvs': [1, 0, 0, -113, -329], 'analytic_rank': 0, 'bad_primes': [2, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 34, 'degree': 12, 'elladic_images': ['8.6.0.6', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.17948739806556551375425050126', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [159661140625, 48275138], 'lmfdb_iso': '34.a', 'lmfdb_label': '34.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -113, -329], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '8.6.0.b.1', '24.48.0-24.y.1.13', '68.6.0.c.1', '136.12.0.?', '204.48.0.?', '408.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, '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': '0.17948739806556551375425050126', 'prec': 103}, 'szpiro_ratio': 7.315281394273737, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -2, 1, 0, -2, -4, 1, 1, 0, 6, -2, 2, -4, 0, 1, -1, 1, -4, 0], 'aplist': [1, -2, 0, -4, 6, 2, -1, -4, 0, 0, -4, -4, 6, 8, 0, -6, 0, -4, 8, 0, 2, 8, 0, -6, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 34, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '34.a', 'trace_hash': 2246807206681965941}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.69839195330896428707920119958', 'prec': 103}, 'conductor': 34, 'gens': [], 'heights': [], 'lmfdb_label': '34.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.4985544421045678510689156173', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.74927722105228392553445780862768318112', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [[47, -47, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [2, 1], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '34.a1'}
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ec_torsion_growth • Show schema
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id: 966
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '34.a1', 'torsion': [2, 2]}
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id: 967
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '34.a1', 'torsion': [6]}
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id: 968
{'degree': 3, 'field': [-2, 0, 0, 1], 'lmfdb_label': '34.a1', 'torsion': [6]}
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id: 969
{'degree': 4, 'field': [2, 0, -5, 0, 1], 'lmfdb_label': '34.a1', 'torsion': [4]}
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id: 970
{'degree': 4, 'field': [4, 0, 2, 0, 1], 'lmfdb_label': '34.a1', 'torsion': [2, 6]}
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id: 972
{'degree': 6, 'field': [-2, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '34.a1', 'torsion': [2, 6]}
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id: 971
{'degree': 6, 'field': [1, -3, 0, 5, 0, -3, 1], 'lmfdb_label': '34.a1', 'torsion': [3, 6]}
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id: 973
{'degree': 8, 'field': [2, -4, -14, 16, 27, -12, -14, 0, 1], 'lmfdb_label': '34.a1', 'torsion': [2, 4]}
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id: 975
{'degree': 8, 'field': [4, 0, 10, 0, 23, 0, 5, 0, 1], 'lmfdb_label': '34.a1', 'torsion': [12]}
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id: 974
{'degree': 8, 'field': [64, 0, -64, 0, 30, 0, -8, 0, 1], 'lmfdb_label': '34.a1', 'torsion': [2, 4]}
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id: 976
{'degree': 12, 'field': [4, 0, 24, 0, 60, 0, 44, 0, 0, 0, -6, 0, 1], 'lmfdb_label': '34.a1', 'torsion': [6, 6]}
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id: 977
{'degree': 12, 'field': [32, 0, 0, 0, 0, 0, -190, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '34.a1', 'torsion': [12]}
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id: 979
{'degree': 16, 'field': [4, 8, 44, 8, 206, 32, 530, -152, 723, -120, 494, -184, 169, -24, 14, 0, 1], 'lmfdb_label': '34.a1', 'torsion': [2, 12]}
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id: 978
{'degree': 16, 'field': [1444, 0, -1419, 0, -1069, 0, -403, 0, 1275, 0, -517, 0, 93, 0, -13, 0, 1], 'lmfdb_label': '34.a1', 'torsion': [8]}
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id: 980
{'degree': 16, 'field': [4096, 0, 4096, 0, 2176, 0, 896, 0, 324, 0, 112, 0, 34, 0, 8, 0, 1], 'lmfdb_label': '34.a1', 'torsion': [2, 12]}
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id: 981
{'degree': 18, 'field': [64, 0, 0, -464, 0, 0, 1940, 0, 0, 10, 0, 0, 485, 0, 0, -29, 0, 0, 1], 'lmfdb_label': '34.a1', 'torsion': [18]}
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ec_localdata • Show schema
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id: 126
{'conductor': 34, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '34.a1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 127
{'conductor': 34, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '34.a1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1665945
{'adelic_gens': [[10, 3, 177, 400], [27, 88, 398, 77], [241, 12, 222, 73], [397, 12, 396, 13], [1, 0, 12, 1], [11, 2, 358, 399], [1, 6, 6, 37], [137, 12, 340, 1], [1, 12, 0, 1]], 'adelic_image': '408.96.1.?', 'conductor': 34, 'lmfdb_label': '34.a1', 'prime': 0}
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id: 75
{'conductor': 34, 'elladic_image': '8.6.0.6', 'lmfdb_label': '34.a1', 'modell_image': '2B', 'prime': 2}
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id: 76
{'conductor': 34, 'elladic_image': '3.8.0.2', 'lmfdb_label': '34.a1', 'modell_image': '3B.1.2', 'prime': 3}
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lmfdb_iso 34.a does not appear in ec_padic