-
ec_curvedata • Show schema
Hide schema
{'Ciso': '16562bo', 'Clabel': '16562bo4', 'Cnumber': 4, 'abc_quality': 1.0082122835525031, 'absD': 534473997066972872, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 6552, 'ainvs': [1, 1, 1, -294148, 50208829], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 16562, 'degree': 207360, 'elladic_images': ['8.6.0.6', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1192245893474546324625798289', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4956477625, 941192], 'lmfdb_iso': '16562.bv', 'lmfdb_label': '16562.bv3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, -70], 'min_quad_twist_disc': -91, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.b.1', '24.72.1.h.1', '28.6.0.c.1', '56.12.0.k.1', '63.36.0.a.1', '84.72.1.?', '126.108.2.?', '156.72.0.?', '168.144.5.?', '252.216.7.?', '273.24.0.?', '312.144.1.?', '504.432.21.?', '546.72.0.?', '819.72.0.?', '1092.144.1.?', '1638.216.2.?', '2184.288.5.?', '3276.432.7.?', '6552.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.1527289004466265487912003409', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026360', 'prec': 107}, 'szpiro_ratio': 5.083870145409005, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, -6, 1, 2, 0], 'aplist': [1, 2, 0, 0, 0, 0, -6, 2, 0, -6, -4, -2, 6, 8, -12, 6, -6, -8, 4, 0, 2, 8, -6, -6, -10], 'class_deg': 18, 'class_size': 6, 'conductor': 16562, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '16562.bv', 'trace_hash': 1146047331413333448}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.014429952777923165859878324005', 'prec': 107}, 'conductor': 16562, 'gens': [[88567, 23080463, 9]], 'heights': [{'__RealLiteral__': 0, 'data': '6.1527289004466265487912003409', 'prec': 100}], 'lmfdb_label': '16562.bv3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27789847355337773084425066885', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.259003817731218160035981474738906622', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[787, -791, 2]], 'xcoord_integral_points': []}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': [4, 0], '3': [1, 0], '5': [1, 1, 0], '7': 'a', '11': [1, 1, 0], '13': 'a', '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': '16562.bv3'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 848087
{'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '16562.bv3', 'torsion': [6]}
-
id: 848086
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '16562.bv3', 'torsion': [2, 2]}
-
id: 848088
{'degree': 2, 'field': [23, -1, 1], 'lmfdb_label': '16562.bv3', 'torsion': [6]}
-
id: 848089
{'degree': 4, 'field': [338, 0, -13, 0, 1], 'lmfdb_label': '16562.bv3', 'torsion': [4]}
-
id: 848090
{'degree': 4, 'field': [529, -23, -22, -1, 1], 'lmfdb_label': '16562.bv3', 'torsion': [3, 6]}
-
id: 848092
{'degree': 4, 'field': [623, -42, 43, -2, 1], 'lmfdb_label': '16562.bv3', 'torsion': [2, 6]}
-
id: 848091
{'degree': 4, 'field': [4354, 140, -139, -2, 1], 'lmfdb_label': '16562.bv3', 'torsion': [2, 6]}
-
id: 848094
{'degree': 8, 'field': [-6958, 10584, -3388, -280, -83, -52, 2, -4, 1], 'lmfdb_label': '16562.bv3', 'torsion': [2, 4]}
-
id: 848097
{'degree': 8, 'field': [79, 14, 50, -114, 23, 38, -8, -4, 1], 'lmfdb_label': '16562.bv3', 'torsion': [12]}
-
id: 848096
{'degree': 8, 'field': [1024, 0, -160, 0, 2, 0, -5, 0, 1], 'lmfdb_label': '16562.bv3', 'torsion': [12]}
-
id: 848093
{'degree': 8, 'field': [6241, 0, -1882, 0, 274, 0, -10, 0, 1], 'lmfdb_label': '16562.bv3', 'torsion': [2, 4]}
-
id: 848095
{'degree': 8, 'field': [237871, -45756, 49036, -6656, 3569, -292, 102, -4, 1], 'lmfdb_label': '16562.bv3', 'torsion': [6, 6]}
-
id: 848099
{'degree': 16, 'field': [16396, 9892, 23882, -50818, -10201, 26730, 13782, -12170, -4608, 3014, 1188, -618, -170, 98, 6, -8, 1], 'lmfdb_label': '16562.bv3', 'torsion': [3, 12]}
-
id: 848101
{'degree': 16, 'field': [70849, 55820, -36898, -34296, 10752, 1840, 6054, -264, -5315, 1512, 1506, -664, -132, 84, 8, -8, 1], 'lmfdb_label': '16562.bv3', 'torsion': [2, 12]}
-
id: 848100
{'degree': 16, 'field': [473344, 0, -550912, 0, 272656, 0, 130240, 0, -1800, 0, -1432, 0, 241, 0, -26, 0, 1], 'lmfdb_label': '16562.bv3', 'torsion': [2, 12]}
-
id: 848098
{'degree': 16, 'field': [8202496, 0, -5221888, 0, 375778, 0, 375116, 0, 84741, 0, 11382, 0, 900, 0, 42, 0, 1], 'lmfdb_label': '16562.bv3', 'torsion': [8]}
-
id: 848102
{'degree': 16, 'field': [28364296, -28617536, -32644328, 21863904, 4846610, -1663560, 163136, -545504, 122895, 29008, -16600, 3072, -398, -16, 36, -8, 1], 'lmfdb_label': '16562.bv3', 'torsion': [2, 12]}
-
id: 848103
{'degree': 16, 'field': [166074769, 0, -21503356, 0, -2163154, 0, -8232, 0, 7135, 0, 3024, 0, 426, 0, 28, 0, 1], 'lmfdb_label': '16562.bv3', 'torsion': [2, 12]}
-
id: 848105
{'degree': 18, 'field': [38272753, 0, 0, -5080697, 0, 0, 452089, 0, 0, -30568, 0, 0, 1653, 0, 0, -62, 0, 0, 1], 'lmfdb_label': '16562.bv3', 'torsion': [18]}
-
id: 848104
{'degree': 18, 'field': [152617312, 263739888, 45090072, -56870156, -3490272, -7501020, -2297352, 3754854, -128664, 49067, -227007, -11430, 63492, -21636, 1422, 628, -108, -3, 1], 'lmfdb_label': '16562.bv3', 'torsion': [18]}
-
ec_localdata • Show schema
Hide schema
-
id: 367798
{'conductor': 16562, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '16562.bv3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
-
id: 367799
{'conductor': 16562, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '16562.bv3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
id: 367800
{'conductor': 16562, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '16562.bv3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
-
ec_galrep • Show schema
Hide schema
-
id: 1774179
{'adelic_gens': [[1, 36, 0, 1], [1, 0, 36, 1], [3587, 468, 3354, 5771], [4535, 0, 0, 6551], [2341, 780, 3042, 1171], [1, 6, 6, 37], [3277, 6084, 0, 2549], [19, 24, 1440, 1819], [1522, 507, 2769, 352], [6517, 36, 6516, 37]], 'adelic_image': '6552.864.21.?', 'conductor': 16562, 'lmfdb_label': '16562.bv3', 'prime': 0}
-
id: 77672
{'conductor': 16562, 'elladic_image': '8.6.0.6', 'lmfdb_label': '16562.bv3', 'modell_image': '2B', 'prime': 2}
-
id: 77673
{'conductor': 16562, 'elladic_image': '3.12.0.1', 'lmfdb_label': '16562.bv3', 'modell_image': '3Cs', 'prime': 3}
-
ec_padic • Show schema
Hide schema
-
id: 751695
{'lmfdb_iso': '16562.bv', 'p': 17, 'prec': 20, 'unit': 143862878045350618645926, 'val': 1}
-
id: 751687
{'lmfdb_iso': '16562.bv', 'p': 19, 'prec': 20, 'unit': 317557422439044683416947, 'val': 1}
-
id: 751693
{'lmfdb_iso': '16562.bv', 'p': 29, 'prec': 20, 'unit': 3495022387866639368772905752, 'val': 1}
-
id: 751703
{'lmfdb_iso': '16562.bv', 'p': 31, 'prec': 20, 'unit': 3308985630572927717432783539, 'val': 1}
-
id: 751690
{'lmfdb_iso': '16562.bv', 'p': 37, 'prec': 20, 'unit': 463335625535090844268430176498, 'val': 1}
-
id: 751691
{'lmfdb_iso': '16562.bv', 'p': 41, 'prec': 20, 'unit': 1349888862420614578189035127891, 'val': 1}
-
id: 751692
{'lmfdb_iso': '16562.bv', 'p': 43, 'prec': 20, 'unit': 2966851114437069418022150620038, 'val': 1}
-
id: 751701
{'lmfdb_iso': '16562.bv', 'p': 47, 'prec': 20, 'unit': 47322718849287397374611700235728, 'val': 1}
-
id: 751697
{'lmfdb_iso': '16562.bv', 'p': 53, 'prec': 20, 'unit': 256983416754910573784670061766165, 'val': 1}
-
id: 751698
{'lmfdb_iso': '16562.bv', 'p': 59, 'prec': 20, 'unit': 1028359075393206983139747351785305, 'val': 1}
-
id: 751702
{'lmfdb_iso': '16562.bv', 'p': 61, 'prec': 20, 'unit': 4490119193757527501546238731267711, 'val': 1}
-
id: 751689
{'lmfdb_iso': '16562.bv', 'p': 67, 'prec': 20, 'unit': 21514987187019394571716623467791829, 'val': 1}
-
id: 751699
{'lmfdb_iso': '16562.bv', 'p': 73, 'prec': 20, 'unit': 184423694342325065571296544144282660, 'val': 1}
-
id: 751694
{'lmfdb_iso': '16562.bv', 'p': 79, 'prec': 20, 'unit': 309533365220783231649319627568369140, 'val': 1}
-
id: 751696
{'lmfdb_iso': '16562.bv', 'p': 83, 'prec': 20, 'unit': 606654308716543152983389748518975590, 'val': 1}
-
id: 751700
{'lmfdb_iso': '16562.bv', 'p': 89, 'prec': 20, 'unit': 2382412843813237249332919153341404218, 'val': 1}
-
id: 751688
{'lmfdb_iso': '16562.bv', 'p': 97, 'prec': 20, 'unit': 55732313348491371647302189654101269071, 'val': 1}