-
ec_curvedata • Show schema
Hide schema
{'Ciso': '20160z', 'Clabel': '20160z1', 'Cnumber': 1, 'abc_quality': 1.084913779303659, 'absD': 38288446875000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 70, 'ainvs': [0, 0, 0, 67302, 6593022], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 20160, 'degree': 147840, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8684078922141269624990540731', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1], 'jinv': [722603599520256, 820654296875], 'lmfdb_iso': '20160.p', 'lmfdb_label': '20160.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 29912, -1953488], 'min_quad_twist_disc': -24, 'modell_images': [], 'modm_images': ['70.2.0.a.1'], '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, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97252815760009946209281539391', 'prec': 103}, 'szpiro_ratio': 4.53661298518414, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 3, 0, 8, 0], 'aplist': [0, 0, -1, -1, -1, 1, 3, 8, 4, 3, 6, 8, -10, -12, 3, 12, 0, -2, 4, -12, -10, 13, 0, 6, 5], 'class_deg': 1, 'class_size': 1, 'conductor': 20160, 'isogeny_matrix': [[1]], 'lmfdb_iso': '20160.p', 'trace_hash': 109416595201628161}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.023829861868452571496117899141', 'prec': 107}, 'conductor': 20160, 'gens': [], 'heights': [], 'lmfdb_label': '20160.p1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24269770177222995193275386133', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1842793159500695673947847520101261653', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': [2, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '20160.p1'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 1027072
{'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '20160.p1', 'torsion': [2]}
-
id: 1027073
{'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '20160.p1', 'torsion': [2, 2]}
-
id: 1027074
{'degree': 8, 'field': [-863, 2180, -1586, 704, -200, 8, 10, -4, 1], 'lmfdb_label': '20160.p1', 'torsion': [3]}
-
id: 1027075
{'degree': 12, 'field': [-10157, -20532, -16672, -58616, 22815, -16008, 9464, -2196, 259, -60, 24, -4, 1], 'lmfdb_label': '20160.p1', 'torsion': [4]}
-
ec_localdata • Show schema
Hide schema
-
id: 456507
{'conductor': 20160, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '20160.p1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
-
id: 456508
{'conductor': 20160, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '20160.p1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
-
id: 456509
{'conductor': 20160, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '20160.p1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
id: 456510
{'conductor': 20160, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '20160.p1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
{'adelic_gens': [[69, 2, 68, 3], [1, 2, 0, 1], [31, 2, 31, 3], [1, 0, 2, 1], [57, 2, 57, 3], [1, 1, 69, 0]], 'adelic_image': '70.2.0.?', 'conductor': 20160, 'lmfdb_label': '20160.p1', 'prime': 0}
-
lmfdb_iso 20160.p does not appear in ec_padic