-
ec_curvedata • Show schema
Hide schema
{'Ciso': '18496g', 'Clabel': '18496g2', 'Cnumber': 2, 'abc_quality': 0.9659043939476677, 'absD': 14629223668908032, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 408, 'ainvs': [0, 1, 0, -795713, 272874271], 'analytic_rank': 1, 'bad_primes': [2, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 18496, 'degree': 221184, 'elladic_images': ['8.6.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0865086965995366723072433739', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [8805624625, 2312], 'lmfdb_iso': '18496.e', 'lmfdb_label': '18496.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -43, 105], 'min_quad_twist_disc': 136, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '12.24.0-6.a.1.1', '24.48.0-24.y.1.12', '68.6.0.c.1', '102.24.0.?', '136.12.0.?', '204.48.0.?', '408.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8984688291682455448302575143', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36981874626848933194337211722', 'prec': 107}, 'szpiro_ratio': 5.3305785821299905, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, -2, 0, 0, 0, 4, 0, 1, 0, 6, 0, -2, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, -2, 0, 4, 6, -2, 0, 4, 0, 0, 4, -4, -6, -8, 0, 6, 0, -4, -8, 0, -2, -8, 0, -6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 18496, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '18496.e', 'trace_hash': 1720168350788476432}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.015405704852403623979688261756', 'prec': 107}, 'conductor': 18496, 'gens': [[571, 2240, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8984688291682455448302575143', 'prec': 100}], 'lmfdb_label': '18496.e3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.38549994986993258968161829916', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4694383533756834584852857693156230679', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[521, 0, 1]], 'xcoord_integral_points': [521, 571]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': [7, 0], '5': [1, 1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '18496.e3'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 948656
{'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '18496.e3', 'torsion': [6]}
-
id: 948655
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '18496.e3', 'torsion': [2, 2]}
-
id: 948657
{'degree': 4, 'field': [2, 0, -5, 0, 1], 'lmfdb_label': '18496.e3', 'torsion': [4]}
-
id: 948658
{'degree': 4, 'field': [2, 12, -11, -2, 1], 'lmfdb_label': '18496.e3', 'torsion': [2, 6]}
-
id: 948659
{'degree': 6, 'field': [1632, 0, 340, 0, 34, 0, 1], 'lmfdb_label': '18496.e3', 'torsion': [6]}
-
id: 948661
{'degree': 8, 'field': [2, -4, -14, 16, 27, -12, -14, 0, 1], 'lmfdb_label': '18496.e3', 'torsion': [2, 12]}
-
id: 948660
{'degree': 8, 'field': [4624, 0, 1088, 0, 118, 0, 8, 0, 1], 'lmfdb_label': '18496.e3', 'torsion': [2, 4]}
-
id: 948663
{'degree': 12, 'field': [2116, 1232, -1308, 52, 271, -486, 373, -174, 42, -10, 13, -6, 1], 'lmfdb_label': '18496.e3', 'torsion': [2, 6]}
-
id: 948662
{'degree': 12, 'field': [18225, 810, 2061, -5490, 2130, 690, -131, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '18496.e3', 'torsion': [3, 6]}
-
id: 948664
{'degree': 16, 'field': [16, 0, -80, 0, -124, 0, -1112, 0, 1844, 0, -556, 0, -31, 0, -10, 0, 1], 'lmfdb_label': '18496.e3', 'torsion': [8]}
-
id: 948665
{'degree': 16, 'field': [4096, 0, 0, 0, 896, 0, 0, 0, 160, 0, 0, 0, 14, 0, 0, 0, 1], 'lmfdb_label': '18496.e3', 'torsion': [2, 12]}
-
id: 948666
{'degree': 18, 'field': [-181741696, 0, 160360320, 0, -19337568, 0, -1960576, 0, -950232, 0, 6936, 0, -15538, 0, 816, 0, 0, 0, 1], 'lmfdb_label': '18496.e3', 'torsion': [18]}
-
ec_localdata • Show schema
Hide schema
-
id: 417094
{'conductor': 18496, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '18496.e3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
-
id: 417095
{'conductor': 18496, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '18496.e3', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
-
ec_galrep • Show schema
Hide schema
-
id: 1787673
{'adelic_gens': [[398, 405, 231, 8], [11, 2, 358, 399], [397, 12, 396, 13], [27, 88, 398, 77], [1, 12, 0, 1], [1, 6, 6, 37], [1, 0, 12, 1], [281, 2, 126, 13], [167, 396, 186, 335]], 'adelic_image': '408.96.1.?', 'conductor': 18496, 'lmfdb_label': '18496.e3', 'prime': 0}
-
id: 86722
{'conductor': 18496, 'elladic_image': '8.6.0.6', 'lmfdb_label': '18496.e3', 'modell_image': '2B', 'prime': 2}
-
id: 86723
{'conductor': 18496, 'elladic_image': '3.4.0.1', 'lmfdb_label': '18496.e3', 'modell_image': '3B', 'prime': 3}
-
ec_padic • Show schema
Hide schema
-
id: 851980
{'lmfdb_iso': '18496.e', 'p': 7, 'prec': 20, 'unit': 4725300118874635, 'val': 1}
-
id: 851985
{'lmfdb_iso': '18496.e', 'p': 11, 'prec': 20, 'unit': 18257388489178509283, 'val': 1}
-
id: 851983
{'lmfdb_iso': '18496.e', 'p': 13, 'prec': 20, 'unit': 878470778521781392980, 'val': 1}
-
id: 851986
{'lmfdb_iso': '18496.e', 'p': 19, 'prec': 20, 'unit': 1659292246351241056719311, 'val': 1}
-
id: 851991
{'lmfdb_iso': '18496.e', 'p': 31, 'prec': 20, 'unit': 21615161880373519935368406490, 'val': 1}
-
id: 851979
{'lmfdb_iso': '18496.e', 'p': 37, 'prec': 20, 'unit': 560453130517062688727465056102, 'val': 1}
-
id: 851981
{'lmfdb_iso': '18496.e', 'p': 41, 'prec': 20, 'unit': 236993283248105927419507815687, 'val': 1}
-
id: 851982
{'lmfdb_iso': '18496.e', 'p': 43, 'prec': 20, 'unit': 9633527560682805221102591050339, 'val': 1}
-
id: 851987
{'lmfdb_iso': '18496.e', 'p': 53, 'prec': 20, 'unit': 274812686240039905862882452122612, 'val': 1}
-
id: 851990
{'lmfdb_iso': '18496.e', 'p': 61, 'prec': 20, 'unit': 2240841903162359596693619918184100, 'val': 1}
-
id: 851978
{'lmfdb_iso': '18496.e', 'p': 67, 'prec': 20, 'unit': 11795535578175432371730956047557325, 'val': 1}
-
id: 851988
{'lmfdb_iso': '18496.e', 'p': 73, 'prec': 20, 'unit': 171596731536614445244178561909562212, 'val': 1}
-
id: 851984
{'lmfdb_iso': '18496.e', 'p': 79, 'prec': 20, 'unit': 985634538729140581545079591830274417, 'val': 1}
-
id: 851989
{'lmfdb_iso': '18496.e', 'p': 89, 'prec': 20, 'unit': 3149162149599920253312919290308279909, 'val': 1}
-
id: 851977
{'lmfdb_iso': '18496.e', 'p': 97, 'prec': 20, 'unit': 34663929611002914673705625262491791626, 'val': 1}