-
ec_curvedata • Show schema
Hide schema
{'Ciso': '47808s', 'Clabel': '47808s1', 'Cnumber': 1, 'abc_quality': 0.6670845061300698, 'absD': 991346688, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 166, 'ainvs': [0, 0, 0, -252, -2160], 'analytic_rank': 0, 'bad_primes': [2, 3, 83], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 47808, 'degree': 35840, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.42949270855462786042415084710', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-148176, 83], 'lmfdb_iso': '47808.a', 'lmfdb_label': '47808.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -7, 10], 'min_quad_twist_disc': -24, 'modell_images': [], 'modm_images': ['166.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 747], [3, 6, 5312], [83, 84, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.92848514643269651292690924640', 'prec': 107}, 'szpiro_ratio': 2.680186653277078, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 0, 0, -4, 0, -5, 0, 0, 0, -3, 0, 4, 0, 0, 0, 3, 0, 4, 0], 'aplist': [0, 0, -4, -5, -3, 4, 3, 4, 0, 5, -5, 3, 2, 4, 2, -6, 7, 15, 6, 6, -10, -8, -1, 12, 16], 'class_deg': 1, 'class_size': 1, 'conductor': 47808, 'isogeny_matrix': [[1]], 'lmfdb_iso': '47808.a', 'trace_hash': 1498528556261118957}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.42359163319711904960613133403', 'prec': 103}, 'conductor': 47808, 'gens': [], 'heights': [], 'lmfdb_label': '47808.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.58395730449367331513312164767', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1679146089873466302662432953353200281', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0], '83': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '47808.a1'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 2330968
{'degree': 3, 'field': [-2, 1, -1, 1], 'lmfdb_label': '47808.a1', 'torsion': [2]}
-
id: 2330969
{'degree': 6, 'field': [4, 2, 21, -4, -1, 0, 1], 'lmfdb_label': '47808.a1', 'torsion': [2, 2]}
-
id: 2330970
{'degree': 8, 'field': [-588, 0, 408, 0, 72, 0, 18, 0, 1], 'lmfdb_label': '47808.a1', 'torsion': [3]}
-
id: 2330971
{'degree': 12, 'field': [-242028, 0, 12150, 0, 20493, 0, 270, 0, -9, 0, 0, 0, 1], 'lmfdb_label': '47808.a1', 'torsion': [4]}
-
ec_localdata • Show schema
Hide schema
-
id: 1142199
{'conductor': 47808, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '47808.a1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
-
id: 1142200
{'conductor': 47808, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '47808.a1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
-
id: 1142201
{'conductor': 47808, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '47808.a1', 'prime': 83, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
{'adelic_gens': [[1, 2, 0, 1], [1, 1, 165, 0], [1, 0, 2, 1], [165, 2, 164, 3], [85, 2, 85, 3]], 'adelic_image': '166.2.0.?', 'conductor': 47808, 'lmfdb_label': '47808.a1', 'prime': 0}
-
lmfdb_iso 47808.a does not appear in ec_padic
