-
ec_curvedata • Show schema
Hide schema
{'Ciso': '54978bo', 'Clabel': '54978bo2', 'Cnumber': 2, 'abc_quality': 1.0122840474040935, 'absD': 31095244071061632, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [1, 1, 1, -12937, -8508361], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 54978, 'degree': 645120, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8440893735950971225055695128', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2], 'jinv': [-2035346265217, 264305213568], 'lmfdb_iso': '54978.bs', 'lmfdb_label': '54978.bs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -264, 24768], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '2244.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.87113429906744046995289314108', 'prec': 103}, 'szpiro_ratio': 4.162738886909013, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 1, -1, 1, 2, -1, 0, 1, 1, 2, -1, -1, 4, 0, -2, 1, 1, 1, 8, 2], 'aplist': [1, -1, 2, 0, -1, 4, 1, 8, 0, 0, -10, 8, 10, -8, -10, -12, 8, 2, 4, -4, -10, 12, -4, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 54978, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '54978.bs', 'trace_hash': 2075390953317137468}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.025017523811904715796758627314', 'prec': 107}, 'conductor': 54978, 'gens': [], 'heights': [], 'lmfdb_label': '54978.bs2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16463218626758219374879873427', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6097012154923014249663645596911308177', 'prec': 130}, 'tamagawa_product': 112, 'torsion_generators': [[899, -903, 2]], 'xcoord_integral_points': []}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': [6, 1], '3': [0, 0], '5': [0, 0], '7': 'a', '11': [0, 0], '17': [1, 0]}, 'iwp0': 11, 'lmfdb_label': '54978.bs2'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 2656524
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '54978.bs2', 'torsion': [2, 2]}
-
id: 2656525
{'degree': 4, 'field': [-392, 0, 161, 0, 1], 'lmfdb_label': '54978.bs2', 'torsion': [4]}
-
id: 2656526
{'degree': 8, 'field': [1296, 0, -736, 0, 410, 0, -8, 0, 1], 'lmfdb_label': '54978.bs2', 'torsion': [2, 4]}
-
id: 2656528
{'degree': 8, 'field': [32956, 94948, 101119, 28194, 5031, 600, -35, -2, 1], 'lmfdb_label': '54978.bs2', 'torsion': [6]}
-
id: 2656527
{'degree': 8, 'field': [504100, 0, -14388, 0, 25805, 0, 330, 0, 1], 'lmfdb_label': '54978.bs2', 'torsion': [2, 4]}
-
id: 2656529
{'degree': 16, 'field': [2798410000, 0, 27832171200, 0, 70180339108, 0, -3907864896, 0, -240366636, 0, 11190816, 0, -112343, 0, -24, 0, 1], 'lmfdb_label': '54978.bs2', 'torsion': [8]}
-
id: 2656530
{'degree': 16, 'field': [34883779984, 0, 221027204176, 0, 13958798980, 0, -513137184, 0, 11175864, 0, -283164, 0, 4816, 0, 16, 0, 1], 'lmfdb_label': '54978.bs2', 'torsion': [2, 6]}
-
ec_localdata • Show schema
Hide schema
-
id: 1320723
{'conductor': 54978, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '54978.bs2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
-
id: 1320724
{'conductor': 54978, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '54978.bs2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 1320725
{'conductor': 54978, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '54978.bs2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
-
id: 1320726
{'conductor': 54978, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '54978.bs2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 1320727
{'conductor': 54978, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '54978.bs2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
-
ec_galrep • Show schema
Hide schema
-
id: 2029413
{'adelic_gens': [[409, 4, 818, 9], [1057, 4, 2114, 9], [1, 2, 2, 5], [4485, 4, 4484, 5], [1, 4, 0, 1], [2993, 4, 1498, 9], [1, 0, 4, 1], [1684, 2809, 561, 3928], [2, 1, 2243, 0], [3, 4, 8, 11]], 'adelic_image': '4488.12.0.?', 'conductor': 54978, 'lmfdb_label': '54978.bs2', 'prime': 0}
-
id: 234369
{'conductor': 54978, 'elladic_image': '8.6.0.5', 'lmfdb_label': '54978.bs2', 'modell_image': '2B', 'prime': 2}
-
lmfdb_iso 54978.bs does not appear in ec_padic