-
ec_curvedata • Show schema
Hide schema
{'Ciso': '9702ca', 'Clabel': '9702ca3', 'Cnumber': 3, 'abc_quality': 0.997746845851364, 'absD': 21917703753792, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [1, -1, 1, -35510, -2556795], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 9702, 'degree': 34560, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4121842447064317366874196376', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [57736239625, 255552], 'lmfdb_iso': '9702.bu', 'lmfdb_label': '9702.bu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -81, -284], 'min_quad_twist_disc': 21, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '21.8.0-3.a.1.1', '24.24.0.bx.1', '42.24.0-6.a.1.3', '66.24.0.b.1', '168.48.0.?', '264.48.1.?', '462.48.0.?', '1848.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.54400745672704903684834694039', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11007697415527976156287935258', 'prec': 107}, 'szpiro_ratio': 4.689093247984147, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 4, 0, 0, 1, -6, 0, 4, 0], 'aplist': [1, 0, 0, 0, 1, 4, -6, 4, -6, -6, -8, -10, 6, 8, -6, 0, 0, -8, -4, -6, -2, 14, -12, -6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 9702, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '9702.bu', 'trace_hash': 1142401434233175330}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.059346122702938123583826191792', 'prec': 107}, 'conductor': 9702, 'gens': [[-109, 153, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.54400745672704903684834694039', 'prec': 103}], 'lmfdb_label': '9702.bu1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.34787923229493083700177399373', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8129602707212505760628719039855999302', 'prec': 130}, 'tamagawa_product': 144, 'torsion_generators': [[-103, 51, 1]], 'xcoord_integral_points': [-109, -103, 221, 485]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': [5, 0], '3': 'a', '5': [1, 1, 0], '7': 'a', '11': [2, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '9702.bu1'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 504498
{'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '9702.bu1', 'torsion': [2, 2]}
-
id: 504499
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '9702.bu1', 'torsion': [6]}
-
id: 504501
{'degree': 4, 'field': [100, 0, -13, 0, 1], 'lmfdb_label': '9702.bu1', 'torsion': [2, 6]}
-
id: 504500
{'degree': 4, 'field': [102, -4, 5, -2, 1], 'lmfdb_label': '9702.bu1', 'torsion': [4]}
-
id: 504502
{'degree': 6, 'field': [-3, 0, 0, -18, 0, 0, 1], 'lmfdb_label': '9702.bu1', 'torsion': [6]}
-
id: 504504
{'degree': 8, 'field': [-3176, -5584, 3866, 320, -1049, 190, -10, -2, 1], 'lmfdb_label': '9702.bu1', 'torsion': [2, 4]}
-
id: 504505
{'degree': 8, 'field': [36, 0, -20, 0, 21, 0, 6, 0, 1], 'lmfdb_label': '9702.bu1', 'torsion': [12]}
-
id: 504503
{'degree': 8, 'field': [2304, -2688, 1648, -320, -82, 52, 5, -2, 1], 'lmfdb_label': '9702.bu1', 'torsion': [2, 4]}
-
id: 504507
{'degree': 12, 'field': [9, 0, 0, 0, 0, 0, -2106, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '9702.bu1', 'torsion': [2, 6]}
-
id: 504506
{'degree': 12, 'field': [576, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '9702.bu1', 'torsion': [3, 6]}
-
id: 504509
{'degree': 16, 'field': [2304, -8064, 12144, -16560, 25132, -25336, 17724, -10600, 6825, -2012, 1224, -596, 138, -28, 12, -4, 1], 'lmfdb_label': '9702.bu1', 'torsion': [2, 12]}
-
id: 504510
{'degree': 16, 'field': [303424, -428384, 318120, -165880, 117516, -86856, 38734, -5206, 1317, -3470, 2092, -246, -138, 46, 6, -4, 1], 'lmfdb_label': '9702.bu1', 'torsion': [2, 12]}
-
id: 504508
{'degree': 16, 'field': [23144976, -33052608, 26723664, -18835536, 13396942, -7712720, 2151864, -461424, 87451, 58216, 5032, -1520, 106, 0, 36, -8, 1], 'lmfdb_label': '9702.bu1', 'torsion': [8]}
-
id: 504511
{'degree': 18, 'field': [3857792, 4206336, 5050608, 2571668, 2281572, 650388, 430132, -133116, 63312, -2769, 40977, -6840, 1928, -2142, 750, -172, 48, -9, 1], 'lmfdb_label': '9702.bu1', 'torsion': [18]}
-
ec_localdata • Show schema
Hide schema
-
id: 204791
{'conductor': 9702, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '9702.bu1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
-
id: 204792
{'conductor': 9702, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '9702.bu1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
id: 204793
{'conductor': 9702, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '9702.bu1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
-
id: 204794
{'conductor': 9702, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '9702.bu1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
-
ec_galrep • Show schema
Hide schema
-
id: 1728118
{'adelic_gens': [[1450, 1323, 1365, 1576], [925, 1596, 798, 337], [15, 322, 1022, 533], [1, 0, 12, 1], [11, 2, 1798, 1839], [1837, 12, 1836, 13], [1, 6, 6, 37], [34, 525, 203, 272], [1, 12, 0, 1], [263, 0, 0, 1847]], 'adelic_image': '1848.96.1.?', 'conductor': 9702, 'lmfdb_label': '9702.bu1', 'prime': 0}
-
id: 46945
{'conductor': 9702, 'elladic_image': '8.6.0.4', 'lmfdb_label': '9702.bu1', 'modell_image': '2B', 'prime': 2}
-
id: 46946
{'conductor': 9702, 'elladic_image': '3.4.0.1', 'lmfdb_label': '9702.bu1', 'modell_image': '3B', 'prime': 3}
-
ec_padic • Show schema
Hide schema
-
id: 407576
{'lmfdb_iso': '9702.bu', 'p': 13, 'prec': 20, 'unit': 863914403701915980176, 'val': 1}
-
id: 407578
{'lmfdb_iso': '9702.bu', 'p': 17, 'prec': 20, 'unit': 7621664551891153043334, 'val': 2}
-
id: 407579
{'lmfdb_iso': '9702.bu', 'p': 19, 'prec': 20, 'unit': 1826729831384294166450132, 'val': 1}
-
id: 407581
{'lmfdb_iso': '9702.bu', 'p': 23, 'prec': 20, 'unit': 11186356700740291594164389, 'val': 1}
-
id: 407575
{'lmfdb_iso': '9702.bu', 'p': 29, 'prec': 20, 'unit': 5015696967010790380408731533, 'val': 1}
-
id: 407585
{'lmfdb_iso': '9702.bu', 'p': 31, 'prec': 20, 'unit': 9634726715800534637532328477, 'val': 1}
-
id: 407571
{'lmfdb_iso': '9702.bu', 'p': 37, 'prec': 20, 'unit': 595264869541486798392855333202, 'val': 1}
-
id: 407573
{'lmfdb_iso': '9702.bu', 'p': 41, 'prec': 20, 'unit': 3436121821166879924194015264608, 'val': 1}
-
id: 407574
{'lmfdb_iso': '9702.bu', 'p': 43, 'prec': 20, 'unit': 5408528159941765665984385386232, 'val': 1}
-
id: 407577
{'lmfdb_iso': '9702.bu', 'p': 47, 'prec': 20, 'unit': 14412821143627404922503506044111, 'val': 1}
-
id: 407584
{'lmfdb_iso': '9702.bu', 'p': 61, 'prec': 20, 'unit': 747211589413974204934937774031558, 'val': 1}
-
id: 407570
{'lmfdb_iso': '9702.bu', 'p': 67, 'prec': 20, 'unit': 33788642662564597966973576827071568, 'val': 1}
-
id: 407572
{'lmfdb_iso': '9702.bu', 'p': 71, 'prec': 20, 'unit': 72326313614910768027626007830009953, 'val': 1}
-
id: 407580
{'lmfdb_iso': '9702.bu', 'p': 73, 'prec': 20, 'unit': 90371928467375440716891816244250541, 'val': 1}
-
id: 407583
{'lmfdb_iso': '9702.bu', 'p': 79, 'prec': 20, 'unit': 821803798856816899097319258631642330, 'val': 1}
-
id: 407569
{'lmfdb_iso': '9702.bu', 'p': 83, 'prec': 20, 'unit': 94178963597017925136303969713338781, 'val': 1}
-
id: 407582
{'lmfdb_iso': '9702.bu', 'p': 89, 'prec': 20, 'unit': 4460590814054020809684092932544335588, 'val': 1}
-
id: 407568
{'lmfdb_iso': '9702.bu', 'p': 97, 'prec': 20, 'unit': 18387486355973856047134473321183612189, 'val': 1}