-
ec_curvedata • Show schema
Hide schema
{'Ciso': '20691s', 'Clabel': '20691s1', 'Cnumber': 1, 'abc_quality': 0.8651174046959357, 'absD': 220841022699, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 38, 'ainvs': [0, 0, 1, -2541, 54238], 'analytic_rank': 0, 'bad_primes': [3, 11, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 20691, 'degree': 45760, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.91170537145466747339950817185', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [-1404928, 171], 'lmfdb_iso': '20691.e', 'lmfdb_label': '20691.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -2, 2], 'min_quad_twist_disc': 33, 'modell_images': [], 'modm_images': ['38.2.0.a.1'], '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': [[3, 8, 2299], [11, 62, 171], [19, 20, 1089]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83654840927857264432908623559', 'prec': 107}, 'szpiro_ratio': 3.5547765545210597, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, -2, 0, 2, 3, 0, 5, 0, 0, -6, 0, 0, -2, -10, 0, -4, -1, 0, 1, 6], 'aplist': [-2, 0, 3, 5, 0, -2, -1, 1, 4, -2, -6, 0, 0, 1, 9, -10, 8, 1, 8, 12, 11, -16, 12, 6, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 20691, 'isogeny_matrix': [[1]], 'lmfdb_iso': '20691.e', 'trace_hash': 1146688793252011134}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.16147406411852216664639827201', 'prec': 103}, 'conductor': 20691, 'gens': [], 'heights': [], 'lmfdb_label': '20691.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.96708920473180659493143588387', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9341784094636131898628717677392080879', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': [2, 5, 0], '3': 'a', '5': [0, 0], '7': [0, 0], '11': 'a', '13': [0, 0], '17': [0, 0], '19': [1, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0, 0], '41': [0, 0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '20691.e1'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 1055337
{'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '20691.e1', 'torsion': [2]}
-
id: 1055338
{'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '20691.e1', 'torsion': [2, 2]}
-
id: 1055339
{'degree': 8, 'field': [7417, 7332, -5969, 1240, 51, -119, 25, -3, 1], 'lmfdb_label': '20691.e1', 'torsion': [3]}
-
id: 1055340
{'degree': 12, 'field': [-141444, -9471312, 10975752, -7047264, 2975860, -884764, 180060, -23400, 1678, 84, -12, -2, 1], 'lmfdb_label': '20691.e1', 'torsion': [4]}
-
ec_localdata • Show schema
Hide schema
-
id: 470095
{'conductor': 20691, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '20691.e1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
-
id: 470096
{'conductor': 20691, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '20691.e1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
-
id: 470097
{'conductor': 20691, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '20691.e1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
{'adelic_gens': [[37, 2, 36, 3], [1, 2, 0, 1], [1, 0, 2, 1], [21, 2, 21, 3], [1, 1, 37, 0]], 'adelic_image': '38.2.0.?', 'conductor': 20691, 'lmfdb_label': '20691.e1', 'prime': 0}
-
lmfdb_iso 20691.e does not appear in ec_padic
