-
ec_curvedata • Show schema
Hide schema
{'Ciso': '327990bf', 'Clabel': '327990bf1', 'Cnumber': 1, 'abc_quality': 1.102611128088335, 'absD': 2435244744866544000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 45240, 'ainvs': [1, 1, 1, 3361880, 90789545], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 29], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 327990, 'degree': 18144000, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7931542339601508178986162548', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [7064514799444439, 4094064000000], 'lmfdb_iso': '327990.bf', 'lmfdb_label': '327990.bf4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 3997, 3998], 'min_quad_twist_disc': 29, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '40.6.0.c.1', '78.24.0.?', '87.8.0.?', '120.24.0.?', '174.24.0.?', '1560.48.1.?', '2262.48.0.?', '3480.48.0.?', '45240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1095063189669138043069802386', 'prec': 100}, 'szpiro_ratio': 4.464121213297888, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 1, -1, 1, 1, -1, 2, 1, 1, 1, 0, -1, 1, 2, -1, 1, 0, 1, -2, 1], 'aplist': [1, -1, 1, 2, 0, 1, 0, -2, -6, 0, -8, -2, -6, 4, 0, -6, 0, -14, -4, 0, 4, 16, -12, 6, 4], 'class_deg': 6, 'class_size': 4, 'conductor': 327990, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '327990.bf', 'trace_hash': 1965997947456458366}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.0037488413205901295419812100972', 'prec': 110}, 'conductor': 327990, 'gens': [], 'heights': [], 'lmfdb_label': '327990.bf4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.087020386878159670787847843659', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6106116063447901236354353097773325400', 'prec': 130}, 'tamagawa_product': 120, 'torsion_generators': [[-27, 13, 1]], 'xcoord_integral_points': [-27]}
-
lmfdb_label 327990.bf4 does not appear in ec_iwasawa
-
ec_torsion_growth • Show schema
Hide schema
-
id: 13770784
{'degree': 2, 'field': [-7, -1, 1], 'lmfdb_label': '327990.bf4', 'torsion': [6]}
-
id: 13770783
{'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '327990.bf4', 'torsion': [2, 2]}
-
id: 13770785
{'degree': 4, 'field': [-2010, -160, 161, -2, 1], 'lmfdb_label': '327990.bf4', 'torsion': [4]}
-
id: 13770786
{'degree': 4, 'field': [289, 0, 5, 0, 1], 'lmfdb_label': '327990.bf4', 'torsion': [2, 6]}
-
id: 13770787
{'degree': 6, 'field': [13824, -576, -872, 165, 11, -3, 1], 'lmfdb_label': '327990.bf4', 'torsion': [6]}
-
id: 13770790
{'degree': 8, 'field': [8100, 0, -2780, 0, 261, 0, -18, 0, 1], 'lmfdb_label': '327990.bf4', 'torsion': [12]}
-
id: 13770788
{'degree': 8, 'field': [4297540, -2064244, 398840, 650, 25411, 1072, -148, -2, 1], 'lmfdb_label': '327990.bf4', 'torsion': [2, 4]}
-
id: 13770789
{'degree': 8, 'field': [7952346, 17292, 390961, 19822, 9665, 88, 131, -2, 1], 'lmfdb_label': '327990.bf4', 'torsion': [2, 4]}
-
id: 13770791
{'degree': 12, 'field': [232324, 0, -59188, 0, 38160, 0, -7013, 0, 795, 0, -43, 0, 1], 'lmfdb_label': '327990.bf4', 'torsion': [3, 6]}
-
id: 13770792
{'degree': 12, 'field': [71166096, 0, 26665776, 0, 3372124, 0, 215195, 0, 7503, 0, 137, 0, 1], 'lmfdb_label': '327990.bf4', 'torsion': [2, 6]}
-
id: 13770794
{'degree': 16, 'field': [13733500, 34843600, 44067240, -19302340, -5637099, 2573610, 370870, -317038, 62742, 35884, -10118, -3618, 1206, 106, -42, -4, 1], 'lmfdb_label': '327990.bf4', 'torsion': [2, 12]}
-
id: 13770795
{'degree': 16, 'field': [1729926640, -839428720, -286414164, 77120340, 47291601, 749172, -4618688, 1856, 401904, 55416, -13902, 228, 704, -8, 24, -4, 1], 'lmfdb_label': '327990.bf4', 'torsion': [2, 12]}
-
id: 13770793
{'degree': 16, 'field': [23321239558500, 12338533116000, 2056839246800, 146335113600, -10149063940, -9140909600, -1280843440, -72147760, -5937739, 2820232, 340188, 28744, 1790, -856, -12, -8, 1], 'lmfdb_label': '327990.bf4', 'torsion': [8]}
-
id: 13770796
{'degree': 18, 'field': [11902885, -353847060, 734667060, -469368819, 108970527, 3849468, -13620146, -11476623, -2027346, 648411, 136953, 22473, -19049, -5571, 1437, 234, -57, -3, 1], 'lmfdb_label': '327990.bf4', 'torsion': [18]}
-
ec_localdata • Show schema
Hide schema
-
id: 8121272
{'conductor': 327990, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '327990.bf4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
-
id: 8121273
{'conductor': 327990, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '327990.bf4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
id: 8121274
{'conductor': 327990, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '327990.bf4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
-
id: 8121275
{'conductor': 327990, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '327990.bf4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
-
id: 8121276
{'conductor': 327990, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '327990.bf4', 'prime': 29, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
-
ec_galrep • Show schema
Hide schema
-
id: 3718105
{'adelic_gens': [[38890, 23403, 5133, 20272], [34395, 25288, 24998, 22157], [31466, 40571, 19749, 17140], [1, 0, 12, 1], [1, 6, 6, 37], [18097, 3132, 19662, 18793], [11, 2, 45190, 45231], [1, 12, 0, 1], [45229, 12, 45228, 13], [22621, 3132, 1566, 18793], [7799, 0, 0, 45239]], 'adelic_image': '45240.96.1.?', 'conductor': 327990, 'lmfdb_label': '327990.bf4', 'prime': 0}
-
id: 1144071
{'conductor': 327990, 'elladic_image': '2.3.0.1', 'lmfdb_label': '327990.bf4', 'modell_image': '2B', 'prime': 2}
-
id: 1144072
{'conductor': 327990, 'elladic_image': '3.4.0.1', 'lmfdb_label': '327990.bf4', 'modell_image': '3B', 'prime': 3}
-
lmfdb_iso 327990.bf does not appear in ec_padic