-
ec_curvedata • Show schema
Hide schema
{'Ciso': '397488bz', 'Clabel': '397488bz1', 'Cnumber': 1, 'abc_quality': 0.6777937141616772, 'absD': 140292197136, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1092, 'ainvs': [0, -1, 0, -1486, -12221], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 397488, 'degree': 338688, 'elladic_images': ['2.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.83789300896619503436426513983', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 51, 'isogeny_degrees': [1], 'jinv': [23296, 9], 'lmfdb_iso': '397488.bz', 'lmfdb_label': '397488.bz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -30, -27], 'min_quad_twist_disc': 28, 'modell_images': ['2Cn'], 'modm_images': ['2.2.0.a.1', '156.4.0.?', '182.6.0.?', '1092.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 8281], [3, 4, 132496], [7, 26, 8112], [13, 38, 2352]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1179210435009183948539619699', 'prec': 103}, 'szpiro_ratio': 2.600326808693904, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, -7, 0, 4, 0], 'aplist': [0, -1, -1, 0, 0, 0, -7, 4, 3, 5, -5, 5, -1, 1, 11, 9, -9, 10, -4, 5, -3, 15, 4, 11, 5], 'class_deg': 1, 'class_size': 1, 'conductor': 397488, 'isogeny_matrix': [[1]], 'lmfdb_iso': '397488.bz', 'trace_hash': 355663224695816633}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.18716100974060585625383058089', 'prec': 103}, 'conductor': 397488, 'gens': [], 'heights': [], 'lmfdb_label': '397488.bz1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.79451239031423540555402132871', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5890247806284708111080426574138593967', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
-
lmfdb_label 397488.bz1 does not appear in ec_iwasawa
-
ec_torsion_growth • Show schema
Hide schema
-
id: 16399608
{'degree': 3, 'field': [-27, -30, -1, 1], 'lmfdb_label': '397488.bz1', 'torsion': [2, 2]}
-
id: 16399609
{'degree': 8, 'field': [-61347, 0, 68536, 0, 858, 0, 0, 0, 1], 'lmfdb_label': '397488.bz1', 'torsion': [3]}
-
id: 16399610
{'degree': 12, 'field': [-325053, 1114110, -384882, -138614, 29759, 15930, -3798, -568, 72, 40, 16, -6, 1], 'lmfdb_label': '397488.bz1', 'torsion': [2, 4]}
-
ec_localdata • Show schema
Hide schema
-
id: 9831653
{'conductor': 397488, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '397488.bz1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
-
id: 9831654
{'conductor': 397488, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '397488.bz1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 9831655
{'conductor': 397488, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '397488.bz1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
-
id: 9831656
{'conductor': 397488, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '397488.bz1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 4129605
{'adelic_gens': [[1, 0, 4, 1], [1, 2, 2, 5], [1, 4, 0, 1], [543, 1088, 538, 1081], [3, 4, 736, 11], [464, 1091, 621, 1091], [925, 3, 925, 4], [3, 2, 1084, 1087], [1089, 4, 1088, 5]], 'adelic_image': '1092.12.0.?', 'conductor': 397488, 'lmfdb_label': '397488.bz1', 'prime': 0}
-
id: 1352227
{'conductor': 397488, 'elladic_image': '2.2.0.1', 'lmfdb_label': '397488.bz1', 'modell_image': '2Cn', 'prime': 2}
-
lmfdb_iso 397488.bz does not appear in ec_padic