-
ec_curvedata • Show schema
Hide schema
{'Ciso': '11858bk', 'Clabel': '11858bk2', 'Cnumber': 2, 'abc_quality': 0.9676277689392396, 'absD': 20425393248722, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, 1, 1, -62378, 5966533], 'analytic_rank': 0, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11858, 'degree': 46080, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4863914026818166907691852786', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [128787625, 98], 'lmfdb_iso': '11858.bm', 'lmfdb_label': '11858.bm4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11, 12], 'min_quad_twist_disc': 77, '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', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '56.12.0.k.1', '63.36.0.d.2', '72.72.1.?', '84.24.0.?', '126.108.2.?', '132.24.0.?', '168.48.1.?', '231.8.0.?', '252.216.7.?', '264.48.0.?', '396.72.0.?', '462.24.0.?', '504.432.21.?', '693.72.0.?', '792.144.1.?', '924.48.0.?', '1386.216.2.?', '1848.96.1.?', '2772.432.7.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288210', 'prec': 107}, 'szpiro_ratio': 4.768965120219305, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, -4, 0, 0, 1, 6, 1, 2, 0], 'aplist': [1, 2, 0, 0, 0, -4, 6, 2, 0, 6, 4, 2, 6, -8, 12, 6, 6, 8, -4, 0, 2, -8, -6, 6, 10], 'class_deg': 18, 'class_size': 6, 'conductor': 11858, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '11858.bm', 'trace_hash': 1333834012027744305}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.051160741667182133503204966926', 'prec': 107}, 'conductor': 11858, 'gens': [], 'heights': [], 'lmfdb_label': '11858.bm4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.67738461443114598156264712745', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4190769154491678525011770196087141979', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[563, -567, 2]], 'xcoord_integral_points': []}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': [4, 0], '3': [0, 0], '7': 'a', '11': 'a'}, 'iwp0': 5, 'lmfdb_label': '11858.bm4'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 614153
{'degree': 2, 'field': [-19, -1, 1], 'lmfdb_label': '11858.bm4', 'torsion': [6]}
-
id: 614152
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '11858.bm4', 'torsion': [2, 2]}
-
id: 614154
{'degree': 4, 'field': [242, 0, 11, 0, 1], 'lmfdb_label': '11858.bm4', 'torsion': [4]}
-
id: 614155
{'degree': 4, 'field': [287, 42, -41, -2, 1], 'lmfdb_label': '11858.bm4', 'torsion': [2, 6]}
-
id: 614157
{'degree': 6, 'field': [-83, -106, 106, 20, -20, -1, 1], 'lmfdb_label': '11858.bm4', 'torsion': [18]}
-
id: 614156
{'degree': 6, 'field': [652, -148, 162, -71, 15, -1, 1], 'lmfdb_label': '11858.bm4', 'torsion': [6]}
-
id: 614160
{'degree': 8, 'field': [324, 0, 90, 0, 23, 0, 5, 0, 1], 'lmfdb_label': '11858.bm4', 'torsion': [12]}
-
id: 614159
{'degree': 8, 'field': [2942, 6128, -1936, -528, 193, 44, -22, -4, 1], 'lmfdb_label': '11858.bm4', 'torsion': [2, 4]}
-
id: 614158
{'degree': 8, 'field': [4489, 0, 14, 0, 106, 0, 14, 0, 1], 'lmfdb_label': '11858.bm4', 'torsion': [2, 4]}
-
id: 614164
{'degree': 12, 'field': [-6551, 20596, -8752, -22472, 14176, 9366, -5578, -1624, 862, 100, -51, -2, 1], 'lmfdb_label': '11858.bm4', 'torsion': [2, 18]}
-
id: 614161
{'degree': 12, 'field': [85849, 111926, 136255, -8490, -13542, -518, -153, -406, -30, 78, 7, -2, 1], 'lmfdb_label': '11858.bm4', 'torsion': [3, 6]}
-
id: 614163
{'degree': 12, 'field': [917064, -689904, 480156, -113808, 62014, -19096, 11845, -2590, 561, -152, 19, -2, 1], 'lmfdb_label': '11858.bm4', 'torsion': [2, 6]}
-
id: 614162
{'degree': 12, 'field': [1447636, 87080, -409412, -123326, 75030, 17208, -5255, -1935, 480, 35, -6, -5, 1], 'lmfdb_label': '11858.bm4', 'torsion': [18]}
-
id: 614166
{'degree': 16, 'field': [7393, 1796, -6610, 7272, 6936, -27704, 40326, -39864, 29029, -16896, 7986, -3064, 996, -252, 56, -8, 1], 'lmfdb_label': '11858.bm4', 'torsion': [2, 12]}
-
id: 614167
{'degree': 16, 'field': [14161, 0, 2524340, 0, -782914, 0, -371880, 0, 30991, 0, 7920, 0, -486, 0, -20, 0, 1], 'lmfdb_label': '11858.bm4', 'torsion': [2, 12]}
-
id: 614165
{'degree': 16, 'field': [1032256, 0, -1715968, 0, 860050, 0, -109252, 0, -5475, 0, 2286, 0, 156, 0, -30, 0, 1], 'lmfdb_label': '11858.bm4', 'torsion': [8]}
-
ec_localdata • Show schema
Hide schema
-
id: 255705
{'conductor': 11858, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11858.bm4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
-
id: 255706
{'conductor': 11858, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '11858.bm4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
id: 255707
{'conductor': 11858, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '11858.bm4', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
-
ec_galrep • Show schema
Hide schema
-
id: 1742697
{'adelic_gens': [[1, 36, 0, 1], [4060, 4059, 561, 298], [3023, 0, 0, 5543], [1, 0, 36, 1], [5509, 36, 5508, 37], [4159, 3564, 5302, 2377], [19, 36, 3240, 595], [4223, 1980, 3102, 5279], [4313, 3564, 0, 1], [1, 18, 14, 253]], 'adelic_image': '5544.864.21.?', 'conductor': 11858, 'lmfdb_label': '11858.bm4', 'prime': 0}
-
id: 56817
{'conductor': 11858, 'elladic_image': '8.6.0.6', 'lmfdb_label': '11858.bm4', 'modell_image': '2B', 'prime': 2}
-
id: 56818
{'conductor': 11858, 'elladic_image': '9.12.0.1', 'lmfdb_label': '11858.bm4', 'modell_image': '3B', 'prime': 3}
-
lmfdb_iso 11858.bm does not appear in ec_padic