-
ec_curvedata • Show schema
Hide schema
{'Ciso': '10010a', 'Clabel': '10010a3', 'Cnumber': 3, 'abc_quality': 1.0130338205733735, 'absD': 96346250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [1, -1, 0, -822155, -286726349], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10010, 'degree': 57344, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6892925613338431432234976717', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [61458947171027474307849, 96346250], 'lmfdb_iso': '10010.c', 'lmfdb_label': '10010.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -822155, -286726349], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '40.24.0-40.y.1.6', '52.12.0-4.c.1.1', '104.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.8364684915498885101100859991', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6892925613338431432234976717', 'prec': 100}, 'szpiro_ratio': 5.696528095425038, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, -1, 0, 1, -1, 0, -1, -1, -3, 1, -1, 0, -1, 1, 0, 1, -6, 3, 4, -1], 'aplist': [-1, 0, -1, -1, -1, -1, -6, 4, 0, 6, 4, -6, 2, 8, 8, -6, 4, -2, 4, 12, -10, 0, 12, -6, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 10010, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '10010.c', 'trace_hash': 364338115141069789}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.034095661802027729870380611629', 'prec': 107}, 'conductor': 10010, 'gens': [[12133, 1326496, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '7.8364684915498885101100859991', 'prec': 100}], 'lmfdb_label': '10010.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15854812278555241207576496090', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4849147372067288365601568293731550008', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-2093, 2093, 2]], 'xcoord_integral_points': [12133]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': [3, 2], '3': [1, 1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 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': '10010.c1'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 519161
{'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '10010.c1', 'torsion': [2, 2]}
-
id: 519162
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '10010.c1', 'torsion': [4]}
-
id: 519163
{'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '10010.c1', 'torsion': [4]}
-
id: 519164
{'degree': 4, 'field': [49, 0, -12, 0, 1], 'lmfdb_label': '10010.c1', 'torsion': [2, 4]}
-
id: 519168
{'degree': 8, 'field': [-2552, 3005, -2858, -295, 151, -7, 7, -4, 1], 'lmfdb_label': '10010.c1', 'torsion': [6]}
-
id: 519166
{'degree': 8, 'field': [1420931, 128356, -122610, -11376, 5399, 344, -110, -4, 1], 'lmfdb_label': '10010.c1', 'torsion': [8]}
-
id: 519167
{'degree': 8, 'field': [7577969, 1062332, 238721, -17826, 3382, -620, 57, -2, 1], 'lmfdb_label': '10010.c1', 'torsion': [8]}
-
id: 519165
{'degree': 8, 'field': [23762222500, 0, -3699728, 0, -308284, 0, -8, 0, 1], 'lmfdb_label': '10010.c1', 'torsion': [2, 4]}
-
id: 519172
{'degree': 16, 'field': [1827904, 0, 5395832, 0, 1071460, 0, -17626024, 0, 1213420, 0, -17836, 0, 520, 0, -52, 0, 1], 'lmfdb_label': '10010.c1', 'torsion': [2, 6]}
-
id: 519173
{'degree': 16, 'field': [39803586, -61952016, 67714461, -11430684, 5630784, -314958, 780711, -543936, 95089, 22174, 931, -3296, 883, -182, 46, -8, 1], 'lmfdb_label': '10010.c1', 'torsion': [12]}
-
id: 519171
{'degree': 16, 'field': [69872089, -19425812, 23178024, 81516780, 17427411, -53152864, -1986718, 19584500, 4888340, -1073764, -416636, 13316, 13211, 232, -182, -4, 1], 'lmfdb_label': '10010.c1', 'torsion': [2, 8]}
-
id: 519174
{'degree': 16, 'field': [8085884134, 1247737046, -1452735283, 388872252, -139269070, -72915596, 35853067, -10626624, 3604639, -691044, 198799, -35020, 7505, -798, 134, -8, 1], 'lmfdb_label': '10010.c1', 'torsion': [12]}
-
id: 519170
{'degree': 16, 'field': [251812272481, 0, 37474500672, 0, 8002014384, 0, 232339968, 0, 7380674, 0, 197568, 0, 2352, 0, 0, 0, 1], 'lmfdb_label': '10010.c1', 'torsion': [2, 8]}
-
id: 519169
{'degree': 16, 'field': [35293864222893317041, 0, 0, 0, 0, 0, 0, 0, 201989373586, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '10010.c1', 'torsion': [4, 4]}
-
ec_localdata • Show schema
Hide schema
-
id: 211619
{'conductor': 10010, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10010.c1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
id: 211620
{'conductor': 10010, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '10010.c1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 211621
{'conductor': 10010, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10010.c1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 211622
{'conductor': 10010, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10010.c1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 211623
{'conductor': 10010, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10010.c1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 1730163
{'adelic_gens': [[513, 8, 512, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [164, 1, 423, 6], [417, 8, 108, 33], [456, 203, 329, 358], [459, 456, 218, 461], [7, 6, 514, 515]], 'adelic_image': '520.48.0.?', 'conductor': 10010, 'lmfdb_label': '10010.c1', 'prime': 0}
-
id: 48350
{'conductor': 10010, 'elladic_image': '8.12.0.7', 'lmfdb_label': '10010.c1', 'modell_image': '2B', 'prime': 2}
-
ec_padic • Show schema
Hide schema
-
id: 422587
{'lmfdb_iso': '10010.c', 'p': 17, 'prec': 20, 'unit': 92711894140660185666710, 'val': 1}
-
id: 422578
{'lmfdb_iso': '10010.c', 'p': 19, 'prec': 20, 'unit': 947933604644346487879569, 'val': 1}
-
id: 422585
{'lmfdb_iso': '10010.c', 'p': 29, 'prec': 20, 'unit': 5750507137430856741919660925, 'val': 1}
-
id: 422594
{'lmfdb_iso': '10010.c', 'p': 31, 'prec': 20, 'unit': 18940899523527791156740606532, 'val': 1}
-
id: 422581
{'lmfdb_iso': '10010.c', 'p': 37, 'prec': 20, 'unit': 567145408952994425349227060696, 'val': 1}
-
id: 422583
{'lmfdb_iso': '10010.c', 'p': 41, 'prec': 20, 'unit': 3963996684888479363841357267764, 'val': 1}
-
id: 422584
{'lmfdb_iso': '10010.c', 'p': 43, 'prec': 20, 'unit': 1825129051944799284153353075911, 'val': 1}
-
id: 422586
{'lmfdb_iso': '10010.c', 'p': 47, 'prec': 20, 'unit': 53791690684324179203703621668564, 'val': 1}
-
id: 422589
{'lmfdb_iso': '10010.c', 'p': 53, 'prec': 20, 'unit': 269791146443263480582154959310190, 'val': 1}
-
id: 422592
{'lmfdb_iso': '10010.c', 'p': 59, 'prec': 20, 'unit': 839968956682795393887590843019828, 'val': 1}
-
id: 422593
{'lmfdb_iso': '10010.c', 'p': 61, 'prec': 20, 'unit': 7388651518939583417515315512395999, 'val': 1}
-
id: 422580
{'lmfdb_iso': '10010.c', 'p': 67, 'prec': 20, 'unit': 36003698695782771244048375744566201, 'val': 1}
-
id: 422582
{'lmfdb_iso': '10010.c', 'p': 71, 'prec': 20, 'unit': 45514732664630611430083628128372569, 'val': 1}
-
id: 422590
{'lmfdb_iso': '10010.c', 'p': 73, 'prec': 20, 'unit': 107969866042609788672856056734920710, 'val': 1}
-
id: 422588
{'lmfdb_iso': '10010.c', 'p': 83, 'prec': 20, 'unit': 1228096586390197054897657872768891848, 'val': 1}
-
id: 422591
{'lmfdb_iso': '10010.c', 'p': 89, 'prec': 20, 'unit': 8394366373529502461744124949153761636, 'val': 1}
-
id: 422579
{'lmfdb_iso': '10010.c', 'p': 97, 'prec': 20, 'unit': 32505306362263168855998881560070143479, 'val': 1}