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ec_curvedata • Show schema
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{'Ciso': '139650ha', 'Clabel': '139650ha5', 'Cnumber': 5, 'abc_quality': 1.0006992967914587, 'absD': 2065222853486434146093750, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 31920, 'ainvs': [1, 0, 1, -435505901, 3497436384698], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 139650, 'degree': 70778880, 'elladic_images': ['8.24.0.87'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6578542100249973304381285041', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 109, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4969327007303723277361, 1123462695162150], 'lmfdb_iso': '139650.ef', 'lmfdb_label': '139650.ef1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -355515, -81603333], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.1', '24.48.0-24.bj.1.10', '140.12.0.?', '280.48.0.?', '304.48.0.?', '840.96.0.?', '912.96.0.?', '10640.96.0.?', '31920.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '1.8801801792802904905850724658', 'prec': 100}, 'szpiro_ratio': 6.017582017992223, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, 0, -1, 0, -1, 1, 0, 4, 1, 6, 0, 0, 1, 2, -1, 1, 0], 'aplist': [-1, 1, 0, 0, 4, 6, 2, 1, 8, -2, -8, 10, -10, -4, -8, 10, 4, 10, 4, 16, 10, 8, 12, 6, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 139650, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '139650.ef', 'trace_hash': 1477457256731958290}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00066501003975263900620270471045', 'prec': 113}, 'conductor': 139650, 'gens': [], 'heights': [], 'lmfdb_label': '139650.ef1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.080488022525650129604744236132', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8634250812312062210277233343506062695', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[48743, -48747, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [6, 0], '3': [1, 0], '5': 'a', '7': 'a', '19': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '139650.ef1'}
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ec_torsion_growth • Show schema
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id: 6315210
{'degree': 2, 'field': [-210, 0, 1], 'lmfdb_label': '139650.ef1', 'torsion': [4]}
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id: 6315209
{'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '139650.ef1', 'torsion': [8]}
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id: 6315208
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '139650.ef1', 'torsion': [2, 2]}
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id: 6315211
{'degree': 4, 'field': [841, 0, -82, 0, 1], 'lmfdb_label': '139650.ef1', 'torsion': [2, 8]}
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id: 6315215
{'degree': 8, 'field': [-17064, -1971, 1512, 917, -455, -7, 7, -4, 1], 'lmfdb_label': '139650.ef1', 'torsion': [6]}
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id: 6315212
{'degree': 8, 'field': [4089, -5412, 5850, -912, 547, -112, 42, -4, 1], 'lmfdb_label': '139650.ef1', 'torsion': [2, 4]}
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id: 6315213
{'degree': 8, 'field': [7359, -2292, 2790, -1032, 607, -112, 42, -4, 1], 'lmfdb_label': '139650.ef1', 'torsion': [8]}
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id: 6315214
{'degree': 8, 'field': [583222500, 0, 4483500, 0, 68810, 0, 70, 0, 1], 'lmfdb_label': '139650.ef1', 'torsion': [16]}
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id: 6315220
{'degree': 16, 'field': [7851204, 0, -54645363, 0, 19599330, 0, -3916181, 0, 473075, 0, -38729, 0, 2083, 0, -70, 0, 1], 'lmfdb_label': '139650.ef1', 'torsion': [24]}
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id: 6315216
{'degree': 16, 'field': [54154881, 0, -35809956, 0, 11987238, 0, -2426784, 0, 368023, 0, -35768, 0, 2082, 0, -68, 0, 1], 'lmfdb_label': '139650.ef1', 'torsion': [4, 8]}
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id: 6315219
{'degree': 16, 'field': [430012746, -176755176, 159607773, 54339768, -76133484, 55558314, -13245365, -4408736, 962109, 94058, -20125, 1512, -889, 266, -18, -8, 1], 'lmfdb_label': '139650.ef1', 'torsion': [2, 6]}
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id: 6315221
{'degree': 16, 'field': [959404434, 10540185744, -12504829089, 4002133212, -2186100546, 230442618, -91520765, 14030888, -5330779, 1279802, -320229, 34832, -5593, -126, 38, -8, 1], 'lmfdb_label': '139650.ef1', 'torsion': [12]}
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id: 6315218
{'degree': 16, 'field': [762124363560000, 0, -2364671141280000, 0, 244039259646000, 0, -8986466916000, 0, 138462192225, 0, -826610400, 0, 2181060, 0, -2520, 0, 1], 'lmfdb_label': '139650.ef1', 'torsion': [2, 16]}
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id: 6315217
{'degree': 16, 'field': [1020226572996625, -1062419043193000, 528856279531000, -152420931203500, 31543682807550, -3909960140500, 228122761800, -9510199800, 1950084805, -228687260, 15921580, -1495360, 68996, -2204, 456, -4, 1], 'lmfdb_label': '139650.ef1', 'torsion': [2, 16]}
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ec_localdata • Show schema
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id: 3449440
{'conductor': 139650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '139650.ef1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 3449441
{'conductor': 139650, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '139650.ef1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 3449442
{'conductor': 139650, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '139650.ef1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 3449443
{'conductor': 139650, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '139650.ef1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3449444
{'conductor': 139650, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '139650.ef1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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ec_galrep • Show schema
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id: 2571707
{'adelic_gens': [[5, 4, 31916, 31917], [13667, 31904, 23056, 315], [1, 16, 0, 1], [21296, 5, 31875, 31906], [31905, 16, 31904, 17], [19139, 31904, 25792, 315], [20161, 16, 1688, 129], [23948, 23945, 15963, 15962], [1, 0, 16, 1], [19958, 23945, 11973, 15962], [15, 2, 31822, 31907]], 'adelic_image': '31920.192.1.?', 'conductor': 139650, 'lmfdb_label': '139650.ef1', 'prime': 0}
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id: 539966
{'conductor': 139650, 'elladic_image': '8.24.0.87', 'lmfdb_label': '139650.ef1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 139650.ef does not appear in ec_padic