-
ec_curvedata • Show schema
Hide schema
{'Ciso': '120384ck', 'Clabel': '120384ck1', 'Cnumber': 1, 'abc_quality': 0.7488455381648026, 'absD': 67399630848, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1254, 'ainvs': [0, 0, 0, 864, 7776], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 120384, 'degree': 101376, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.76498787179071690191477639246', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1], 'jinv': [221184, 209], 'lmfdb_iso': '120384.bg', 'lmfdb_label': '120384.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 24, 36], 'min_quad_twist_disc': 24, 'modell_images': [], 'modm_images': ['1254.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 627], [3, 2, 13376], [11, 12, 10944], [19, 20, 6336]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.86764305536363489428509501027', 'prec': 107}, 'szpiro_ratio': 2.7267153675066513, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 0, 0, -2, 0, 4, 0, 0, 0, 1, 0, -1, 0, 0, 0, -3, 0, 1, 0], 'aplist': [0, 0, -2, 4, 1, -1, -3, 1, 8, -6, 0, -8, 0, -8, 2, -9, -3, -10, 4, -3, 4, -15, 9, -1, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 120384, 'isogeny_matrix': [[1]], 'lmfdb_iso': '120384.bg', 'trace_hash': 1822930679186306883}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.21654091975949046576592171033', 'prec': 103}, 'conductor': 120384, 'gens': [], 'heights': [], 'lmfdb_label': '120384.bg1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.72070507759110998049429966962', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4414101551822199609885993392310433125', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0], '11': [1, 0], '13': [0, 0], '17': [0, 0], '19': [1, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '120384.bg1'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 5503091
{'degree': 3, 'field': [-9, -5, -1, 1], 'lmfdb_label': '120384.bg1', 'torsion': [2]}
-
id: 5503092
{'degree': 6, 'field': [2508, 0, 256, 0, -32, 0, 1], 'lmfdb_label': '120384.bg1', 'torsion': [2, 2]}
-
id: 5503093
{'degree': 8, 'field': [-12, 0, 18, 0, 12, 0, 0, 0, 1], 'lmfdb_label': '120384.bg1', 'torsion': [3]}
-
id: 5503094
{'degree': 12, 'field': [-276507, 0, -14472, 0, -333, 0, -360, 0, -129, 0, 0, 0, 1], 'lmfdb_label': '120384.bg1', 'torsion': [4]}
-
ec_localdata • Show schema
Hide schema
-
id: 2962853
{'conductor': 120384, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '120384.bg1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
-
id: 2962854
{'conductor': 120384, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '120384.bg1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
-
id: 2962855
{'conductor': 120384, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '120384.bg1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
-
id: 2962856
{'conductor': 120384, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '120384.bg1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
{'adelic_gens': [[1123, 2, 1123, 3], [343, 2, 343, 3], [419, 2, 419, 3], [1, 1, 1253, 0], [1253, 2, 1252, 3], [1, 0, 2, 1], [1, 2, 0, 1]], 'adelic_image': '1254.2.0.?', 'conductor': 120384, 'lmfdb_label': '120384.bg1', 'prime': 0}
-
lmfdb_iso 120384.bg does not appear in ec_padic