-
ec_curvedata • Show schema
Hide schema
{'Ciso': '160113e', 'Clabel': '160113e1', 'Cnumber': 1, 'abc_quality': 0.9893503750644725, 'absD': 5657937214555601305371, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 38, 'ainvs': [1, 0, 1, -872211413, -9914800356025], 'analytic_rank': 1, 'bad_primes': [3, 19, 53], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 160113, 'degree': 44715888, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6215736545845695174224705462', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [-1178642372740721641, 90876411], 'lmfdb_iso': '160113.e', 'lmfdb_label': '160113.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -310506, -66726150], 'min_quad_twist_disc': 53, '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': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.582556223224202570214237549', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97471237888315496132615778685', 'prec': 103}, 'szpiro_ratio': 6.122785763984432, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 1, 1, -1, 1, 1, -3, -3, 1, 1, 5, -1, -4, -3, 1, -1, -2, 1, -1, -1], 'aplist': [1, 1, 1, -3, 5, -4, -2, -1, -8, 0, 8, 2, 0, 8, -4, 0, 14, -1, 4, -12, 9, -8, -9, 8, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 160113, 'isogeny_matrix': [[1]], 'lmfdb_iso': '160113.e', 'trace_hash': 640423901721965078}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.00071505770719093597226881135115', 'prec': 113}, 'conductor': 160113, 'gens': [[5927439621, 378888966880009, 319]], 'heights': [{'__RealLiteral__': 0, 'data': '15.582556223224202570214237549', 'prec': 100}], 'lmfdb_label': '160113.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.013890379643365469423301439399', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.0908001136961977517923973882148402609', 'prec': 130}, 'tamagawa_product': 42, 'torsion_generators': [], 'xcoord_integral_points': []}
-
lmfdb_label 160113.e1 does not appear in ec_iwasawa
-
ec_torsion_growth • Show schema
Hide schema
-
id: 7163747
{'degree': 3, 'field': [104, -35, -1, 1], 'lmfdb_label': '160113.e1', 'torsion': [2]}
-
id: 7163748
{'degree': 6, 'field': [14656, 8696, 1399, -147, -56, -1, 1], 'lmfdb_label': '160113.e1', 'torsion': [2, 2]}
-
id: 7163749
{'degree': 8, 'field': [-5547, 0, 2243, 0, -258, 0, 0, 0, 1], 'lmfdb_label': '160113.e1', 'torsion': [3]}
-
id: 7163750
{'degree': 12, 'field': [-99290124, 0, 3996729, 0, 3608353, 0, -25802, 0, 2970, 0, 1, 0, 1], 'lmfdb_label': '160113.e1', 'torsion': [4]}
-
ec_localdata • Show schema
Hide schema
-
id: 3961604
{'conductor': 160113, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '160113.e1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
-
id: 3961605
{'conductor': 160113, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '160113.e1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
id: 3961606
{'conductor': 160113, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '160113.e1', 'prime': 53, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
-
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': 160113, 'lmfdb_label': '160113.e1', 'prime': 0}
-
lmfdb_iso 160113.e does not appear in ec_padic