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ec_curvedata • Show schema
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{'Ciso': '1008h', 'Clabel': '1008h2', 'Cnumber': 2, 'abc_quality': 1.0653400939100561, 'absD': 36578304, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, -171, 810], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1008, 'degree': 256, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.20069972725549470264246302074', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [740772, 49], 'lmfdb_iso': '1008.d', 'lmfdb_label': '1008.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -19, 30], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '12.12.0-2.a.1.1', '24.24.0-8.a.1.1', '28.12.0.b.1', '56.24.0.d.1', '84.24.0.?', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.56891438481221125103692793567', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.92622906754518123423618636560', 'prec': 107}, 'szpiro_ratio': 3.9097274353246214, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 2, 0, 0, 0, 6, 0, -8, 0], 'aplist': [0, 0, -2, 1, -4, 2, 6, -8, 0, -6, -8, -2, -2, 4, -8, -6, 0, -6, 4, -8, 10, -16, 8, 6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 1008, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '1008.d', 'trace_hash': 1248963145806044563}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.66938261971914543520493748096', 'prec': 103}, 'conductor': 1008, 'gens': [[3, 18, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.56891438481221125103692793567', 'prec': 103}], 'lmfdb_label': '1008.d3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.0196828184638776393883380787', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2980532163643397642926503355796949025', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[6, 0, 1], [9, 0, 1]], 'xcoord_integral_points': [-15, -3, 3, 6, 9, 10, 13, 27, 81]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1008.d3'}
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ec_torsion_growth • Show schema
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id: 49044
{'degree': 4, 'field': [1, 0, -4, 0, 1], 'lmfdb_label': '1008.d3', 'torsion': [2, 4]}
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id: 49046
{'degree': 4, 'field': [4, -2, -1, -1, 1], 'lmfdb_label': '1008.d3', 'torsion': [2, 4]}
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id: 49045
{'degree': 4, 'field': [25, 0, -4, 0, 1], 'lmfdb_label': '1008.d3', 'torsion': [2, 4]}
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id: 49047
{'degree': 8, 'field': [1, -2, 4, 10, -2, 10, 4, -2, 1], 'lmfdb_label': '1008.d3', 'torsion': [2, 6]}
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id: 49051
{'degree': 16, 'field': [4, -4, -2, 10, -11, 8, 18, -28, 16, 28, -34, 8, 26, -8, -2, -2, 1], 'lmfdb_label': '1008.d3', 'torsion': [2, 8]}
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id: 49049
{'degree': 16, 'field': [4, 0, -16, 0, -12, 0, -16, 0, 117, 0, -124, 0, 56, 0, -12, 0, 1], 'lmfdb_label': '1008.d3', 'torsion': [2, 8]}
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id: 49048
{'degree': 16, 'field': [256, 0, 0, 0, -16, 0, 0, 0, -15, 0, 0, 0, -1, 0, 0, 0, 1], 'lmfdb_label': '1008.d3', 'torsion': [4, 4]}
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id: 49050
{'degree': 16, 'field': [10000, 0, -19648, 0, 44208, 0, -30848, 0, 10412, 0, -992, 0, 180, 0, 8, 0, 1], 'lmfdb_label': '1008.d3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 14068
{'conductor': 1008, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '1008.d3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 14069
{'conductor': 1008, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '1008.d3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 14070
{'conductor': 1008, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1008.d3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1670919
{'adelic_gens': [[55, 0, 0, 167], [165, 4, 164, 5], [41, 108, 0, 167], [85, 114, 0, 1], [73, 60, 90, 121], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '168.48.0.?', 'conductor': 1008, 'lmfdb_label': '1008.d3', 'prime': 0}
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id: 4731
{'conductor': 1008, 'elladic_image': '8.12.0.3', 'lmfdb_label': '1008.d3', 'modell_image': '2Cs', 'prime': 2}
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ec_padic • Show schema
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id: 22771
{'lmfdb_iso': '1008.d', 'p': 5, 'prec': 20, 'unit': 7597649620396, 'val': 1}
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id: 22770
{'lmfdb_iso': '1008.d', 'p': 11, 'prec': 20, 'unit': 49054308643960391084, 'val': 1}
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id: 22777
{'lmfdb_iso': '1008.d', 'p': 13, 'prec': 20, 'unit': 41209030309406349667, 'val': 2}
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id: 22779
{'lmfdb_iso': '1008.d', 'p': 17, 'prec': 20, 'unit': 152172669918949967192575, 'val': 1}
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id: 22780
{'lmfdb_iso': '1008.d', 'p': 19, 'prec': 20, 'unit': 95573434119412980977261, 'val': 1}
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id: 22776
{'lmfdb_iso': '1008.d', 'p': 29, 'prec': 20, 'unit': 3637952769033490885885667411, 'val': 1}
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id: 22773
{'lmfdb_iso': '1008.d', 'p': 31, 'prec': 20, 'unit': 9085255840884582848409630122, 'val': 1}
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id: 22787
{'lmfdb_iso': '1008.d', 'p': 37, 'prec': 20, 'unit': 218744470408810479801962043647, 'val': 1}
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id: 22774
{'lmfdb_iso': '1008.d', 'p': 41, 'prec': 20, 'unit': 4292719833563891582099800753719, 'val': 1}
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id: 22775
{'lmfdb_iso': '1008.d', 'p': 43, 'prec': 20, 'unit': 460984488105403235963521065512, 'val': 1}
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id: 22778
{'lmfdb_iso': '1008.d', 'p': 47, 'prec': 20, 'unit': 21107798818386751048363938137057, 'val': 1}
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id: 22781
{'lmfdb_iso': '1008.d', 'p': 53, 'prec': 20, 'unit': 79983660407987271445850077473962, 'val': 1}
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id: 22786
{'lmfdb_iso': '1008.d', 'p': 61, 'prec': 20, 'unit': 5682634726312494429422452717464139, 'val': 1}
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id: 22769
{'lmfdb_iso': '1008.d', 'p': 67, 'prec': 20, 'unit': 2158760929221733150684439114400516, 'val': 1}
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id: 22772
{'lmfdb_iso': '1008.d', 'p': 71, 'prec': 20, 'unit': 37205953544077506956937875250980654, 'val': 1}
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id: 22782
{'lmfdb_iso': '1008.d', 'p': 73, 'prec': 20, 'unit': 92612158016387526737863346789230922, 'val': 1}
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id: 22785
{'lmfdb_iso': '1008.d', 'p': 79, 'prec': 20, 'unit': 318599160705138221252830351610575607, 'val': 1}
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id: 22783
{'lmfdb_iso': '1008.d', 'p': 83, 'prec': 20, 'unit': 2271695981873950250814179732293407342, 'val': 1}
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id: 22784
{'lmfdb_iso': '1008.d', 'p': 89, 'prec': 20, 'unit': 1284182242324606083280714865409295550, 'val': 1}
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id: 22768
{'lmfdb_iso': '1008.d', 'p': 97, 'prec': 20, 'unit': 25552307499848784721593467584255115803, 'val': 1}