-
ec_curvedata • Show schema
Hide schema
{'Ciso': '54208be', 'Clabel': '54208be2', 'Cnumber': 2, 'abc_quality': 1.0653400939100561, 'absD': 5688950063104, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 616, 'ainvs': [0, 0, 0, -9196, -319440], 'analytic_rank': 1, 'bad_primes': [2, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 54208, 'degree': 81920, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1969148096005977836844282520', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2], 'jinv': [740772, 49], 'lmfdb_iso': '54208.bl', 'lmfdb_label': '54208.bl3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -19, 30], 'min_quad_twist_disc': -88, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '28.12.0.b.1', '44.12.0-2.a.1.1', '56.24.0.d.1', '88.24.0.?', '308.24.0.?', '616.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.8760837368816691782295394645', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.92622906754518123423618636559', 'prec': 107}, 'szpiro_ratio': 3.57716389181179, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 0, 0, -2, 0, 1, 0, -3, 0, 0, 0, 2, 0, 0, 0, 6, 0, 8, 0], 'aplist': [0, 0, -2, 1, 0, 2, 6, 8, 0, 6, 8, 2, -2, -4, -8, -6, 0, -6, 4, -8, -10, -16, 8, -6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 54208, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '54208.bl', 'trace_hash': 436307144999654794}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.091279448143519832073400565585', 'prec': 107}, 'conductor': 54208, 'gens': [[-767, 6783, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '5.8760837368816691782295394645', 'prec': 100}], 'lmfdb_label': '54208.bl3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.48955392763829638125832529403', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7533197450438777314792013460441417222', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-44, 0, 1], [110, 0, 1]], 'xcoord_integral_points': [-66, -44, 110]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': [3, 1, 0], '5': [1, 0], '7': [2, 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': '54208.bl3'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 2621315
{'degree': 4, 'field': [9, 0, -50, 0, 1], 'lmfdb_label': '54208.bl3', 'torsion': [2, 4]}
-
id: 2621316
{'degree': 4, 'field': [23, -2, 3, -2, 1], 'lmfdb_label': '54208.bl3', 'torsion': [2, 4]}
-
id: 2621317
{'degree': 4, 'field': [554, 40, -39, -2, 1], 'lmfdb_label': '54208.bl3', 'torsion': [2, 4]}
-
id: 2621318
{'degree': 8, 'field': [-43923, 0, -7986, 0, -726, 0, 0, 0, 1], 'lmfdb_label': '54208.bl3', 'torsion': [2, 6]}
-
id: 2621320
{'degree': 16, 'field': [-144991, -737352, -604856, 520576, 625296, -111272, -216888, 10528, 32953, -2744, -2748, 728, 446, -56, -44, 0, 1], 'lmfdb_label': '54208.bl3', 'torsion': [2, 8]}
-
id: 2621319
{'degree': 16, 'field': [5769, -4632, 37318, -75132, 67400, -52520, 50138, -38324, 24453, -13112, 6182, -2420, 828, -224, 52, -8, 1], 'lmfdb_label': '54208.bl3', 'torsion': [4, 4]}
-
id: 2621321
{'degree': 16, 'field': [6561, 0, 14580, 0, 13932, 0, 6120, 0, 2191, 0, 680, 0, 172, 0, 20, 0, 1], 'lmfdb_label': '54208.bl3', 'torsion': [2, 8]}
-
id: 2621322
{'degree': 16, 'field': [2445578, 3050920, -1553684, -1778152, 1000507, -48318, 104419, -137190, 41279, -3620, 2258, -1644, 447, -70, 19, -6, 1], 'lmfdb_label': '54208.bl3', 'torsion': [2, 8]}
-
ec_localdata • Show schema
Hide schema
-
id: 1301246
{'conductor': 54208, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '54208.bl3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
-
id: 1301247
{'conductor': 54208, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '54208.bl3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
-
id: 1301248
{'conductor': 54208, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '54208.bl3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
ec_galrep • Show schema
Hide schema
-
id: 2024277
{'adelic_gens': [[1, 0, 4, 1], [353, 396, 594, 177], [613, 4, 612, 5], [1, 4, 0, 1], [559, 0, 0, 615], [463, 396, 0, 1], [307, 110, 0, 615]], 'adelic_image': '616.48.0.?', 'conductor': 54208, 'lmfdb_label': '54208.bl3', 'prime': 0}
-
id: 231300
{'conductor': 54208, 'elladic_image': '8.12.0.3', 'lmfdb_label': '54208.bl3', 'modell_image': '2Cs', 'prime': 2}
-
ec_padic • Show schema
Hide schema
-
id: 2738841
{'lmfdb_iso': '54208.bl', 'p': 5, 'prec': 20, 'unit': 15935152835127, 'val': 1}
-
id: 2738847
{'lmfdb_iso': '54208.bl', 'p': 13, 'prec': 20, 'unit': 525176569254296371549, 'val': 1}
-
id: 2738849
{'lmfdb_iso': '54208.bl', 'p': 17, 'prec': 20, 'unit': 171055581481374033732275, 'val': 1}
-
id: 2738850
{'lmfdb_iso': '54208.bl', 'p': 19, 'prec': 20, 'unit': 763782099578054773307939, 'val': 1}
-
id: 2738846
{'lmfdb_iso': '54208.bl', 'p': 29, 'prec': 20, 'unit': 4459589851389700542022605008, 'val': 1}
-
id: 2738843
{'lmfdb_iso': '54208.bl', 'p': 31, 'prec': 20, 'unit': 16033854697687097043372885308, 'val': 1}
-
id: 2738856
{'lmfdb_iso': '54208.bl', 'p': 37, 'prec': 20, 'unit': 247961126950933343801776755529, 'val': 1}
-
id: 2738844
{'lmfdb_iso': '54208.bl', 'p': 41, 'prec': 20, 'unit': 736574940282568790364833198892, 'val': 1}
-
id: 2738845
{'lmfdb_iso': '54208.bl', 'p': 43, 'prec': 20, 'unit': 566159847985366355255221845893, 'val': 1}
-
id: 2738848
{'lmfdb_iso': '54208.bl', 'p': 47, 'prec': 20, 'unit': 50769510799418655725222624951162, 'val': 1}
-
id: 2738851
{'lmfdb_iso': '54208.bl', 'p': 53, 'prec': 20, 'unit': 193603886727672524508475086206715, 'val': 1}
-
id: 2738855
{'lmfdb_iso': '54208.bl', 'p': 61, 'prec': 20, 'unit': 6233959993650030601982147293311995, 'val': 1}
-
id: 2738840
{'lmfdb_iso': '54208.bl', 'p': 67, 'prec': 20, 'unit': 38546839465931534793531649605117603, 'val': 1}
-
id: 2738842
{'lmfdb_iso': '54208.bl', 'p': 71, 'prec': 20, 'unit': 73046485194648956167410046170367205, 'val': 1}
-
id: 2738852
{'lmfdb_iso': '54208.bl', 'p': 73, 'prec': 20, 'unit': 129486917667466772750009491385277703, 'val': 1}
-
id: 2738854
{'lmfdb_iso': '54208.bl', 'p': 79, 'prec': 20, 'unit': 97283133756199910476763414944952951, 'val': 1}
-
id: 2738839
{'lmfdb_iso': '54208.bl', 'p': 83, 'prec': 20, 'unit': 2218804333548126879366647659853207682, 'val': 1}
-
id: 2738853
{'lmfdb_iso': '54208.bl', 'p': 89, 'prec': 20, 'unit': 6806425258501133501427710843384124947, 'val': 1}
-
id: 2738838
{'lmfdb_iso': '54208.bl', 'p': 97, 'prec': 20, 'unit': 31951347011149721741083815923594680556, 'val': 1}