-
ec_curvedata • Show schema
Hide schema
{'Ciso': '53724b', 'Clabel': '53724b1', 'Cnumber': 1, 'abc_quality': 1.3018384230554119, 'absD': 906694759276553808, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 444, 'ainvs': [0, -1, 0, -1187413, -495517394], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 53724, 'degree': 691200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2937198423533208843328295986', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [6532108386304000, 31987847133], 'lmfdb_iso': '53724.b', 'lmfdb_label': '53724.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -9813, 375858], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '74.6.0.?', '444.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.4616119488834144601806253908', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86372314576748717582944710247', 'prec': 103}, 'szpiro_ratio': 4.918964358421352, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 4, 0, -2, 0], 'aplist': [0, -1, 0, 0, 0, -2, 4, -2, 0, 4, -2, -1, -10, 2, -8, 10, 0, 10, -8, 16, -10, 14, -4, -4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 53724, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '53724.b', 'trace_hash': 343670390917476597}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.010178886197434240944455862944', 'prec': 107}, 'conductor': 53724, 'gens': [[1962, 68728, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.4616119488834144601806253908', 'prec': 100}], 'lmfdb_label': '53724.b2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14466953202654143408243038908', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7407730685331830362488021637813020411', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[1258, 0, 1]], 'xcoord_integral_points': [1258, 1962]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 1, 0], '7': [1, 1, 0], '11': 'a', '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': '53724.b2'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 2599168
{'degree': 2, 'field': [-9, -1, 1], 'lmfdb_label': '53724.b2', 'torsion': [2, 2]}
-
id: 2599169
{'degree': 4, 'field': [1081, -10, -88, -2, 1], 'lmfdb_label': '53724.b2', 'torsion': [4]}
-
id: 2599172
{'degree': 8, 'field': [-28750, -21107, 20468, 1277, -635, -7, 7, -4, 1], 'lmfdb_label': '53724.b2', 'torsion': [6]}
-
id: 2599171
{'degree': 8, 'field': [19881, 0, -77130, 0, 7171, 0, -166, 0, 1], 'lmfdb_label': '53724.b2', 'torsion': [2, 4]}
-
id: 2599170
{'degree': 8, 'field': [732116, -65472, -27568, 14200, 4612, 432, 132, -4, 1], 'lmfdb_label': '53724.b2', 'torsion': [2, 4]}
-
id: 2599173
{'degree': 16, 'field': [1089066001, 0, 311579120, 0, 30345472, 0, -12964120, 0, -1993070, 0, -53584, 0, 8656, 0, -184, 0, 1], 'lmfdb_label': '53724.b2', 'torsion': [8]}
-
id: 2599174
{'degree': 16, 'field': [13629161536, 0, -4136308976, 0, 259756492, 0, -143634525, 0, 7866258, 0, -25125, 0, 1117, 0, -74, 0, 1], 'lmfdb_label': '53724.b2', 'torsion': [2, 6]}
-
ec_localdata • Show schema
Hide schema
-
id: 1289321
{'conductor': 53724, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '53724.b2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
-
id: 1289322
{'conductor': 53724, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '53724.b2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 1289323
{'conductor': 53724, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '53724.b2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
id: 1289324
{'conductor': 53724, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '53724.b2', 'prime': 37, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 2021080
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [337, 112, 332, 111], [149, 4, 298, 9], [441, 4, 440, 5], [374, 1, 35, 0]], 'adelic_image': '444.12.0.?', 'conductor': 53724, 'lmfdb_label': '53724.b2', 'prime': 0}
-
id: 229346
{'conductor': 53724, 'elladic_image': '2.3.0.1', 'lmfdb_label': '53724.b2', 'modell_image': '2B', 'prime': 2}
-
ec_padic • Show schema
Hide schema
-
id: 2712399
{'lmfdb_iso': '53724.b', 'p': 13, 'prec': 20, 'unit': 862999655575434057592, 'val': 1}
-
id: 2712401
{'lmfdb_iso': '53724.b', 'p': 17, 'prec': 20, 'unit': 185495382190076999998975, 'val': 1}
-
id: 2712402
{'lmfdb_iso': '53724.b', 'p': 19, 'prec': 20, 'unit': 1896854859844630545974898, 'val': 1}
-
id: 2712398
{'lmfdb_iso': '53724.b', 'p': 29, 'prec': 20, 'unit': 3788245142919480351194816919, 'val': 1}
-
id: 2712408
{'lmfdb_iso': '53724.b', 'p': 31, 'prec': 20, 'unit': 4768259858906221334350234722, 'val': 1}
-
id: 2712396
{'lmfdb_iso': '53724.b', 'p': 41, 'prec': 20, 'unit': 1088493445939395877919082866475, 'val': 1}
-
id: 2712397
{'lmfdb_iso': '53724.b', 'p': 43, 'prec': 20, 'unit': 333658394150150779565193599184, 'val': 1}
-
id: 2712400
{'lmfdb_iso': '53724.b', 'p': 47, 'prec': 20, 'unit': 40698517896904714546950595928210, 'val': 1}
-
id: 2712403
{'lmfdb_iso': '53724.b', 'p': 53, 'prec': 20, 'unit': 104686795051148575977106913678613, 'val': 1}
-
id: 2712407
{'lmfdb_iso': '53724.b', 'p': 61, 'prec': 20, 'unit': 7570236872483684037549958885355334, 'val': 1}
-
id: 2712394
{'lmfdb_iso': '53724.b', 'p': 67, 'prec': 20, 'unit': 575631589709193269520665098599843, 'val': 1}
-
id: 2712395
{'lmfdb_iso': '53724.b', 'p': 71, 'prec': 20, 'unit': 148479639293366898185728260489637307, 'val': 1}
-
id: 2712404
{'lmfdb_iso': '53724.b', 'p': 73, 'prec': 20, 'unit': 31163788073827173241988762690541142, 'val': 1}
-
id: 2712406
{'lmfdb_iso': '53724.b', 'p': 79, 'prec': 20, 'unit': 1159123430480970051057691272681253, 'val': 1}
-
id: 2712393
{'lmfdb_iso': '53724.b', 'p': 83, 'prec': 20, 'unit': 1662015964249319873603367118814726837, 'val': 1}
-
id: 2712405
{'lmfdb_iso': '53724.b', 'p': 89, 'prec': 20, 'unit': 7526703577046822220454055439369935207, 'val': 1}
-
id: 2712392
{'lmfdb_iso': '53724.b', 'p': 97, 'prec': 20, 'unit': 7200074847029848694015538174862738249, 'val': 1}