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ec_curvedata • Show schema
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{'Ciso': '966g', 'Clabel': '966g3', 'Cnumber': 3, 'abc_quality': 0.9847261399959292, 'absD': 1439452851984, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1288, 'ainvs': [1, 1, 1, -5074, -128689], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 966, 'degree': 2048, 'elladic_images': ['8.48.0.34'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0694009627598650567163755213', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [14447092394873377, 1439452851984], 'lmfdb_iso': '966.g', 'lmfdb_label': '966.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5074, -128689], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.48.0-8.e.1.1', '28.48.0-28.c.1.3', '56.96.0-56.j.2.5', '184.96.0.?', '1288.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4290466140306996094973985269', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0694009627598650567163755213', 'prec': 100}, 'szpiro_ratio': 5.413703276743923, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -6, 1, 4, -2], 'aplist': [1, -1, -2, 1, -4, -2, -6, 4, -1, -2, -8, 6, -6, -4, -8, 6, 4, -10, 4, -8, -6, 0, -12, 2, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 966, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '966.g', 'trace_hash': 1936113308950598990}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.11779588676026461429170798076', 'prec': 103}, 'conductor': 966, 'gens': [[-45, 127, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.4290466140306996094973985269', 'prec': 100}], 'lmfdb_label': '966.g3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.56929719666586145950624491222', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7656988558767601384646959067095984521', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-31, 15, 1], [81, -41, 1]], 'xcoord_integral_points': [-45, -31, 81, 131]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 1], '3': [5, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '966.g3'}
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ec_torsion_growth • Show schema
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id: 46954
{'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '966.g3', 'torsion': [2, 4]}
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id: 46953
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '966.g3', 'torsion': [2, 4]}
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id: 46955
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '966.g3', 'torsion': [2, 4]}
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id: 46956
{'degree': 4, 'field': [4, 0, -3, 0, 1], 'lmfdb_label': '966.g3', 'torsion': [4, 4]}
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id: 46957
{'degree': 4, 'field': [28, 0, 0, 0, 1], 'lmfdb_label': '966.g3', 'torsion': [2, 8]}
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id: 46962
{'degree': 8, 'field': [-768, 0, 316, 0, -96, 0, 0, 0, 1], 'lmfdb_label': '966.g3', 'torsion': [2, 6]}
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id: 46961
{'degree': 8, 'field': [36, 0, 88, 0, -8, 0, 4, 0, 1], 'lmfdb_label': '966.g3', 'torsion': [4, 8]}
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id: 46960
{'degree': 8, 'field': [772, 788, -610, -334, 113, 62, -16, -4, 1], 'lmfdb_label': '966.g3', 'torsion': [2, 8]}
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id: 46959
{'degree': 8, 'field': [1296, 0, 0, 0, 49, 0, 0, 0, 1], 'lmfdb_label': '966.g3', 'torsion': [2, 8]}
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id: 46958
{'degree': 8, 'field': [6098, 2468, -2154, -652, 387, -76, 30, -4, 1], 'lmfdb_label': '966.g3', 'torsion': [2, 8]}
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id: 46967
{'degree': 16, 'field': [299209, 0, -188272, 0, 250204, 0, 154824, 0, 19230, 0, -192, 0, -164, 0, 8, 0, 1], 'lmfdb_label': '966.g3', 'torsion': [2, 12]}
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id: 46964
{'degree': 16, 'field': [595984, 0, 1562784, 0, 1072956, 0, 371832, 0, 81553, 0, 11352, 0, 978, 0, 48, 0, 1], 'lmfdb_label': '966.g3', 'torsion': [4, 8]}
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id: 46966
{'degree': 16, 'field': [614656, 0, -702464, 0, 200704, 0, 38073, 0, -15582, 0, -1239, 0, 49, 0, -14, 0, 1], 'lmfdb_label': '966.g3', 'torsion': [2, 12]}
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id: 46968
{'degree': 16, 'field': [614656, 0, 702464, 0, 200704, 0, -38073, 0, -15582, 0, 1239, 0, 49, 0, 14, 0, 1], 'lmfdb_label': '966.g3', 'torsion': [2, 12]}
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id: 46963
{'degree': 16, 'field': [1742400, 1848000, -1193648, -862944, 1009858, 306252, -349474, -50712, 75065, 2016, -9982, 120, 872, -12, -44, 0, 1], 'lmfdb_label': '966.g3', 'torsion': [4, 8]}
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id: 46965
{'degree': 16, 'field': [3211264, 0, 0, 0, 269696, 0, 0, 0, 51996, 0, 0, 0, -448, 0, 0, 0, 1], 'lmfdb_label': '966.g3', 'torsion': [2, 16]}
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ec_localdata • Show schema
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id: 13334
{'conductor': 966, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '966.g3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 13335
{'conductor': 966, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '966.g3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 13336
{'conductor': 966, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '966.g3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 13337
{'conductor': 966, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '966.g3', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1670689
{'adelic_gens': [[281, 4, 0, 1], [1, 0, 8, 1], [1281, 8, 1280, 9], [649, 324, 344, 653], [1, 326, 0, 967], [7, 6, 178, 1283], [5, 4, 1284, 1285], [1, 8, 0, 1]], 'adelic_image': '1288.192.1.?', 'conductor': 966, 'lmfdb_label': '966.g3', 'prime': 0}
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id: 4559
{'conductor': 966, 'elladic_image': '8.48.0.34', 'lmfdb_label': '966.g3', 'modell_image': '2Cs', 'prime': 2}
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ec_padic • Show schema
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id: 21443
{'lmfdb_iso': '966.g', 'p': 5, 'prec': 20, 'unit': 17110525110113, 'val': 1}
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id: 21442
{'lmfdb_iso': '966.g', 'p': 11, 'prec': 20, 'unit': 24099086937172369680, 'val': 1}
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id: 21449
{'lmfdb_iso': '966.g', 'p': 13, 'prec': 20, 'unit': 1176549055463666879354, 'val': 1}
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id: 21451
{'lmfdb_iso': '966.g', 'p': 17, 'prec': 20, 'unit': 236215785313347452649318, 'val': 1}
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id: 21452
{'lmfdb_iso': '966.g', 'p': 19, 'prec': 20, 'unit': 681754764243642321947181, 'val': 1}
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id: 21448
{'lmfdb_iso': '966.g', 'p': 29, 'prec': 20, 'unit': 2118924731501013649612514349, 'val': 1}
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id: 21445
{'lmfdb_iso': '966.g', 'p': 31, 'prec': 20, 'unit': 238815442009056396897510337, 'val': 2}
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id: 21459
{'lmfdb_iso': '966.g', 'p': 37, 'prec': 20, 'unit': 116687865612622911854019307918, 'val': 1}
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id: 21446
{'lmfdb_iso': '966.g', 'p': 41, 'prec': 20, 'unit': 2083980786712991671462618073957, 'val': 1}
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id: 21447
{'lmfdb_iso': '966.g', 'p': 43, 'prec': 20, 'unit': 7879547246532306325255724458287, 'val': 1}
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id: 21450
{'lmfdb_iso': '966.g', 'p': 47, 'prec': 20, 'unit': 35612483960121404032445029062661, 'val': 1}
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id: 21453
{'lmfdb_iso': '966.g', 'p': 53, 'prec': 20, 'unit': 453968473787332503097372999099325, 'val': 1}
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id: 21457
{'lmfdb_iso': '966.g', 'p': 59, 'prec': 20, 'unit': 2562596764131903257740468437813670, 'val': 1}
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id: 21458
{'lmfdb_iso': '966.g', 'p': 61, 'prec': 20, 'unit': 7181453284928840724115114775070463, 'val': 1}
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id: 21441
{'lmfdb_iso': '966.g', 'p': 67, 'prec': 20, 'unit': 9361467994109840618069370811862344, 'val': 1}
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id: 21444
{'lmfdb_iso': '966.g', 'p': 71, 'prec': 20, 'unit': 83522980530210109010745910115617242, 'val': 1}
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id: 21454
{'lmfdb_iso': '966.g', 'p': 73, 'prec': 20, 'unit': 129972463065790829153652389512886996, 'val': 1}
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id: 21455
{'lmfdb_iso': '966.g', 'p': 83, 'prec': 20, 'unit': 2555861315803034841510025275417563556, 'val': 1}
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id: 21456
{'lmfdb_iso': '966.g', 'p': 89, 'prec': 20, 'unit': 1030430664638880163050091463732694483, 'val': 1}
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id: 21440
{'lmfdb_iso': '966.g', 'p': 97, 'prec': 20, 'unit': 54180966071384186204574147494839943729, 'val': 1}