-
ec_curvedata • Show schema
Hide schema
{'Ciso': '56550bk', 'Clabel': '56550bk2', 'Cnumber': 2, 'abc_quality': 0.9253637893222859, 'absD': 16278702131250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 7540, 'ainvs': [1, 1, 1, 37187, 5498531], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 56550, 'degree': 368640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7941884567887383158846200630', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2], 'jinv': [363979050334199, 1041836936400], 'lmfdb_iso': '56550.bi', 'lmfdb_label': '56550.bi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1487, 43988], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '116.6.0.?', '260.6.0.?', '7540.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7513303435126814591327395812', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.98946950057168812858424039639', 'prec': 103}, 'szpiro_ratio': 4.071824130121656, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 1, -1, 1, 0, -1, 0, 1, 1, 0, -4, -1, 1, 0, 0, 1, 4, 1, 0, 0], 'aplist': [1, -1, 0, 0, -4, 1, 4, 0, -2, -1, 4, -2, 0, -4, 0, 2, -2, 10, -4, -2, -10, 0, 4, 0, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 56550, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '56550.bi', 'trace_hash': 2086530198826156073}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.027643161270971797580245024450', 'prec': 107}, 'conductor': 56550, 'gens': [[71, 2880, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7513303435126814591327395812', 'prec': 100}], 'lmfdb_label': '56550.bi2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27521105906013622133521689118', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.7117676576364357354583443749007579460', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-445, 441, 2]], 'xcoord_integral_points': [71, 295]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': [3, 1], '3': [1, 0], '5': 'a', '7': [3, 1, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '56550.bi2'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 2726783
{'degree': 2, 'field': [29, 0, 1], 'lmfdb_label': '56550.bi2', 'torsion': [2, 2]}
-
id: 2726784
{'degree': 4, 'field': [-116, 0, -11, 0, 1], 'lmfdb_label': '56550.bi2', 'torsion': [4]}
-
id: 2726787
{'degree': 8, 'field': [-1875, 0, -980, 0, 150, 0, 0, 0, 1], 'lmfdb_label': '56550.bi2', 'torsion': [6]}
-
id: 2726786
{'degree': 8, 'field': [8269, 1060, 7719, 844, 1952, 202, 39, -2, 1], 'lmfdb_label': '56550.bi2', 'torsion': [2, 4]}
-
id: 2726785
{'degree': 8, 'field': [217494, 18684, -15382, -6616, 3339, -40, 18, -4, 1], 'lmfdb_label': '56550.bi2', 'torsion': [2, 4]}
-
id: 2726789
{'degree': 16, 'field': [739558720576, 0, 112831163392, 0, 12263330128, 0, 972194784, 0, 45978240, 0, 1346424, 0, 23848, 0, 232, 0, 1], 'lmfdb_label': '56550.bi2', 'torsion': [2, 6]}
-
id: 2726788
{'degree': 16, 'field': [25258826465856, 0, 8145703182096, 0, 388935979065, 0, 4415043114, 0, 11215924, 0, -5687016, 0, -8620, 0, 246, 0, 1], 'lmfdb_label': '56550.bi2', 'torsion': [8]}
-
ec_localdata • Show schema
Hide schema
-
id: 1359560
{'conductor': 56550, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '56550.bi2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
-
id: 1359561
{'conductor': 56550, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '56550.bi2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 1359562
{'conductor': 56550, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '56550.bi2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
-
id: 1359563
{'conductor': 56550, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '56550.bi2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
-
id: 1359564
{'conductor': 56550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '56550.bi2', 'prime': 29, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 2039599
{'adelic_gens': [[1, 0, 4, 1], [2901, 4, 5802, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [7022, 1, 259, 0], [5656, 1889, 1885, 5656], [3017, 4, 6034, 9], [7537, 4, 7536, 5]], 'adelic_image': '7540.12.0.?', 'conductor': 56550, 'lmfdb_label': '56550.bi2', 'prime': 0}
-
id: 240299
{'conductor': 56550, 'elladic_image': '2.3.0.1', 'lmfdb_label': '56550.bi2', 'modell_image': '2B', 'prime': 2}
-
ec_padic • Show schema
Hide schema
-
id: 2864592
{'lmfdb_iso': '56550.bi', 'p': 11, 'prec': 20, 'unit': 1084730963965470390, 'val': 1}
-
id: 2864597
{'lmfdb_iso': '56550.bi', 'p': 17, 'prec': 20, 'unit': 236130098340402147103964, 'val': 1}
-
id: 2864600
{'lmfdb_iso': '56550.bi', 'p': 23, 'prec': 20, 'unit': 10458479952872833253594989, 'val': 1}
-
id: 2864603
{'lmfdb_iso': '56550.bi', 'p': 31, 'prec': 20, 'unit': 14855812601973076413758889091, 'val': 1}
-
id: 2864593
{'lmfdb_iso': '56550.bi', 'p': 37, 'prec': 20, 'unit': 180891360932530326719452051429, 'val': 1}
-
id: 2864596
{'lmfdb_iso': '56550.bi', 'p': 43, 'prec': 20, 'unit': 10411368863986823392664764109895, 'val': 1}
-
id: 2864599
{'lmfdb_iso': '56550.bi', 'p': 53, 'prec': 20, 'unit': 337427940209156857449745337390460, 'val': 1}
-
id: 2864601
{'lmfdb_iso': '56550.bi', 'p': 59, 'prec': 20, 'unit': 799789213065300240534576316364268, 'val': 1}
-
id: 2864602
{'lmfdb_iso': '56550.bi', 'p': 61, 'prec': 20, 'unit': 6624412803524271684109120995300338, 'val': 1}
-
id: 2864591
{'lmfdb_iso': '56550.bi', 'p': 67, 'prec': 20, 'unit': 13231815295429404865996093419246222, 'val': 1}
-
id: 2864594
{'lmfdb_iso': '56550.bi', 'p': 71, 'prec': 20, 'unit': 118083630408404520240591550390247609, 'val': 1}
-
id: 2864595
{'lmfdb_iso': '56550.bi', 'p': 73, 'prec': 20, 'unit': 137917818974371610722195640179825922, 'val': 1}
-
id: 2864598
{'lmfdb_iso': '56550.bi', 'p': 83, 'prec': 20, 'unit': 1057331719140012140626117796584604985, 'val': 1}
-
id: 2864590
{'lmfdb_iso': '56550.bi', 'p': 97, 'prec': 20, 'unit': 415804569243718110202518216013968374, 'val': 2}