-
ec_curvedata • Show schema
Hide schema
{'Ciso': '6930p', 'Clabel': '6930p1', 'Cnumber': 1, 'abc_quality': 0.9728075796164264, 'absD': 3098182348800, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 924, 'ainvs': [1, -1, 0, -504, -84672], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 6930, 'degree': 13824, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0760888521875037623466089238', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-19443408769, 4249907200], 'lmfdb_iso': '6930.o', 'lmfdb_label': '6930.o3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -56, 3136], 'min_quad_twist_disc': -3, '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', '14.6.0.b.1', '42.48.0-42.b.1.3', '44.6.0.b.1', '132.48.0.?', '308.12.0.?', '924.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.77289862283910528794679380239', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52678270785344891664898630534', 'prec': 103}, 'szpiro_ratio': 4.09551980387035, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, -1, 0, 1, 1, 0, 1, -1, 0, -1, 1, 0, -4, -1, 0, 1, 0, 0, -4, 1], 'aplist': [-1, 0, 1, 1, 1, -4, 0, -4, 0, 6, -10, 2, 12, -4, -6, 6, 6, -4, -4, -12, -4, 8, -12, -18, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 6930, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '6930.o', 'trace_hash': 1882523756086771508}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.11623076572012660954771089198', 'prec': 103}, 'conductor': 6930, 'gens': [[112, 1064, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.77289862283910528794679380239', 'prec': 103}], 'lmfdb_label': '6930.o3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.35666244349255033947694621586', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3079669367258684039278494842724990416', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[48, -24, 1]], 'xcoord_integral_points': [48, 49, 112, 147, 6384]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': [4, 0], '3': 'a', '5': [2, 0], '7': [2, 0], '11': [2, 0], '13': [1, 0], '17': [1, 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': '6930.o3'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 363872
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '6930.o3', 'torsion': [6]}
-
id: 363871
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '6930.o3', 'torsion': [2, 2]}
-
id: 363873
{'degree': 3, 'field': [-55, 0, 0, 1], 'lmfdb_label': '6930.o3', 'torsion': [6]}
-
id: 363874
{'degree': 4, 'field': [-11, -22, -10, -2, 1], 'lmfdb_label': '6930.o3', 'torsion': [4]}
-
id: 363875
{'degree': 4, 'field': [4, -2, -1, -1, 1], 'lmfdb_label': '6930.o3', 'torsion': [2, 6]}
-
id: 363876
{'degree': 6, 'field': [108, 18, -17, -3, 4, -3, 1], 'lmfdb_label': '6930.o3', 'torsion': [3, 6]}
-
id: 363877
{'degree': 6, 'field': [3308, -507, -147, 97, 9, -3, 1], 'lmfdb_label': '6930.o3', 'torsion': [2, 6]}
-
id: 363880
{'degree': 8, 'field': [4, -12, 26, -38, 39, -2, 9, -2, 1], 'lmfdb_label': '6930.o3', 'torsion': [12]}
-
id: 363879
{'degree': 8, 'field': [4041, -1026, 726, -396, 67, -28, 14, -2, 1], 'lmfdb_label': '6930.o3', 'torsion': [2, 4]}
-
id: 363878
{'degree': 8, 'field': [6139, -7833, 2142, 49, 268, -39, 10, -1, 1], 'lmfdb_label': '6930.o3', 'torsion': [2, 4]}
-
id: 363881
{'degree': 12, 'field': [19600, -29400, 18200, -5250, 3075, -255, -347, 318, 18, 12, -1, -3, 1], 'lmfdb_label': '6930.o3', 'torsion': [6, 6]}
-
id: 363882
{'degree': 12, 'field': [112729, 151982, -48204, -73424, 83988, 21434, -6834, -3922, 2192, -232, -24, -6, 1], 'lmfdb_label': '6930.o3', 'torsion': [12]}
-
id: 363883
{'degree': 16, 'field': [-36575, 87010, 307692, 666050, 3173658, 2104724, 580386, -611250, -278593, 112284, 26494, -11762, 82, 418, -50, -4, 1], 'lmfdb_label': '6930.o3', 'torsion': [8]}
-
id: 363885
{'degree': 16, 'field': [10000, -6000, -200, 840, 1056, -2988, 1906, -294, 243, -432, 355, -114, -22, 18, 9, -6, 1], 'lmfdb_label': '6930.o3', 'torsion': [2, 12]}
-
id: 363884
{'degree': 16, 'field': [65536, 0, -18688, 0, 5841, 0, -878, 0, -106, 0, 142, 0, 6, 0, 2, 0, 1], 'lmfdb_label': '6930.o3', 'torsion': [2, 12]}
-
id: 363886
{'degree': 18, 'field': [10317683776, 8172804960, 14776430688, -9949978440, 4787410104, -2458590810, 875926537, -259634754, 70291593, -14739836, 3907440, -584562, 151351, -13914, 4416, -208, 81, 0, 1], 'lmfdb_label': '6930.o3', 'torsion': [18]}
-
ec_localdata • Show schema
Hide schema
-
id: 141402
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '6930.o3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 141403
{'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6930.o3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
-
id: 141404
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.o3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
-
id: 141405
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6930.o3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
-
id: 141406
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.o3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
-
ec_galrep • Show schema
Hide schema
-
id: 1709801
{'adelic_gens': [[11, 2, 874, 915], [607, 922, 558, 911], [913, 12, 912, 13], [1, 0, 12, 1], [1, 6, 6, 37], [673, 12, 342, 73], [543, 850, 98, 401], [1, 12, 0, 1], [142, 3, 633, 916]], 'adelic_image': '924.96.1.?', 'conductor': 6930, 'lmfdb_label': '6930.o3', 'prime': 0}
-
id: 34258
{'conductor': 6930, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6930.o3', 'modell_image': '2B', 'prime': 2}
-
id: 34259
{'conductor': 6930, 'elladic_image': '3.8.0.2', 'lmfdb_label': '6930.o3', 'modell_image': '3B.1.2', 'prime': 3}
-
ec_padic • Show schema
Hide schema
-
id: 278800
{'lmfdb_iso': '6930.o', 'p': 13, 'prec': 20, 'unit': 1218509669237502534, 'val': 1}
-
id: 278803
{'lmfdb_iso': '6930.o', 'p': 19, 'prec': 20, 'unit': 1660473463696238569622485, 'val': 1}
-
id: 278799
{'lmfdb_iso': '6930.o', 'p': 29, 'prec': 20, 'unit': 59804148760213845090140074, 'val': 1}
-
id: 278809
{'lmfdb_iso': '6930.o', 'p': 31, 'prec': 20, 'unit': 8211061930364987927280181057, 'val': 1}
-
id: 278795
{'lmfdb_iso': '6930.o', 'p': 37, 'prec': 20, 'unit': 334286986082102291777419857144, 'val': 1}
-
id: 278797
{'lmfdb_iso': '6930.o', 'p': 41, 'prec': 20, 'unit': 3498941833847548417220927184303, 'val': 1}
-
id: 278798
{'lmfdb_iso': '6930.o', 'p': 43, 'prec': 20, 'unit': 9111633584889805834606336075201, 'val': 1}
-
id: 278807
{'lmfdb_iso': '6930.o', 'p': 47, 'prec': 20, 'unit': 39265796524971542081394802845809, 'val': 1}
-
id: 278804
{'lmfdb_iso': '6930.o', 'p': 53, 'prec': 20, 'unit': 319657640444756423172158899140964, 'val': 1}
-
id: 278802
{'lmfdb_iso': '6930.o', 'p': 59, 'prec': 20, 'unit': 3462533109571767963265917548535742, 'val': 1}
-
id: 278808
{'lmfdb_iso': '6930.o', 'p': 61, 'prec': 20, 'unit': 1229715040996690021359461309296329, 'val': 1}
-
id: 278794
{'lmfdb_iso': '6930.o', 'p': 67, 'prec': 20, 'unit': 2364576626826676462958592100005329, 'val': 1}
-
id: 278796
{'lmfdb_iso': '6930.o', 'p': 71, 'prec': 20, 'unit': 8821645964138172246981310626483337, 'val': 1}
-
id: 278805
{'lmfdb_iso': '6930.o', 'p': 73, 'prec': 20, 'unit': 128884585387444795060177307041798355, 'val': 1}
-
id: 278801
{'lmfdb_iso': '6930.o', 'p': 79, 'prec': 20, 'unit': 629764957399591155377218477174688779, 'val': 1}
-
id: 278793
{'lmfdb_iso': '6930.o', 'p': 83, 'prec': 20, 'unit': 2179757356857019636636871366021345303, 'val': 1}
-
id: 278806
{'lmfdb_iso': '6930.o', 'p': 89, 'prec': 20, 'unit': 6819557799770402872475235015406504297, 'val': 1}
-
id: 278792
{'lmfdb_iso': '6930.o', 'p': 97, 'prec': 20, 'unit': 53356430802421403022902370417275562892, 'val': 1}