-
ec_curvedata • Show schema
Hide schema
{'Ciso': '342c', 'Clabel': '342c2', 'Cnumber': 2, 'abc_quality': 1.073456431344882, 'absD': 1534801608, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 456, 'ainvs': [1, -1, 0, 288, -216], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 342, 'degree': 192, 'elladic_images': ['8.6.0.5', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.45207563623007540583394363003', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3616805375, 2105352], 'lmfdb_iso': '342.c', 'lmfdb_label': '342.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 32, 8], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '8.6.0.a.1', '24.48.0-24.p.1.13', '228.48.0.?', '456.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.70990090390233588812071610514', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.097230508103979439863678988431', 'prec': 110}, 'szpiro_ratio': 4.901706670689853, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, -1, 0, 1, 0, 0, -4, -1, 0, 0, 0, 0, -4, 4, 0, 1, -6, 0, 1, 0], 'aplist': [-1, 0, 0, -4, 0, -4, -6, 1, 6, -6, 2, -4, -6, -4, -6, -6, 12, 14, 8, 0, 14, -10, 12, 6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 342, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '342.c', 'trace_hash': 401333918892878}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.40488537668669244281971616570', 'prec': 103}, 'conductor': 342, 'gens': [[15, 78, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.70990090390233588812071610514', 'prec': 103}], 'lmfdb_label': '342.c4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.89083624899831046053838395170', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2648109167857339186411249913487300188', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[3, -3, 2]], 'xcoord_integral_points': [1, 15, 21, 1155]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': [1, 1], '3': 'a', '5': [1, 1, 0], '7': [1, 0], '11': [1, 3, 0], '13': [3, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '342.c4'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 14845
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '342.c4', 'torsion': [6]}
-
id: 14844
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '342.c4', 'torsion': [2, 2]}
-
id: 14846
{'degree': 3, 'field': [-12, -6, -1, 1], 'lmfdb_label': '342.c4', 'torsion': [6]}
-
id: 14847
{'degree': 4, 'field': [-8, 0, 5, 0, 1], 'lmfdb_label': '342.c4', 'torsion': [4]}
-
id: 14848
{'degree': 4, 'field': [4, 0, -2, 0, 1], 'lmfdb_label': '342.c4', 'torsion': [2, 6]}
-
id: 14849
{'degree': 6, 'field': [12, 6, -5, -3, 4, -3, 1], 'lmfdb_label': '342.c4', 'torsion': [3, 6]}
-
id: 14850
{'degree': 6, 'field': [228, 304, 76, -20, -5, -2, 1], 'lmfdb_label': '342.c4', 'torsion': [2, 6]}
-
id: 14851
{'degree': 8, 'field': [36, 0, -48, 0, 118, 0, 16, 0, 1], 'lmfdb_label': '342.c4', 'torsion': [2, 4]}
-
id: 14853
{'degree': 8, 'field': [196, 0, -174, 0, 65, 0, -12, 0, 1], 'lmfdb_label': '342.c4', 'torsion': [12]}
-
id: 14852
{'degree': 8, 'field': [196, 0, 204, 0, 53, 0, 18, 0, 1], 'lmfdb_label': '342.c4', 'torsion': [2, 4]}
-
id: 14855
{'degree': 12, 'field': [-1152, 0, 2112, 0, -2120, 0, 616, 0, -24, 0, -11, 0, 1], 'lmfdb_label': '342.c4', 'torsion': [12]}
-
id: 14854
{'degree': 12, 'field': [324, 0, 1332, 0, -1283, 0, 26, 0, 99, 0, 14, 0, 1], 'lmfdb_label': '342.c4', 'torsion': [6, 6]}
-
id: 14858
{'degree': 16, 'field': [4, 0, 88, 0, 584, 0, 1596, 0, 1973, 0, 912, 0, 50, 0, -20, 0, 1], 'lmfdb_label': '342.c4', 'torsion': [2, 12]}
-
id: 14856
{'degree': 16, 'field': [256, 0, 5910720, 0, -1941980, 0, 165624, 0, 22470, 0, -7044, 0, 763, 0, -42, 0, 1], 'lmfdb_label': '342.c4', 'torsion': [8]}
-
id: 14857
{'degree': 16, 'field': [1296, 0, 2304, 0, 2728, 0, 1856, 0, 896, 0, 176, 0, 26, 0, 8, 0, 1], 'lmfdb_label': '342.c4', 'torsion': [2, 12]}
-
id: 14859
{'degree': 18, 'field': [256, 384, 3456, -4384, 29856, -7368, 27332, 11232, 24576, 2960, 2094, -3024, 203, 327, 48, -25, 0, -3, 1], 'lmfdb_label': '342.c4', 'torsion': [18]}
-
ec_localdata • Show schema
Hide schema
-
id: 3340
{'conductor': 342, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '342.c4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
id: 3341
{'conductor': 342, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '342.c4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
id: 3342
{'conductor': 342, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '342.c4', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
-
ec_galrep • Show schema
Hide schema
-
id: 1667233
{'adelic_gens': [[295, 454, 72, 455], [11, 2, 406, 447], [210, 145, 437, 362], [1, 0, 12, 1], [97, 12, 126, 73], [1, 6, 6, 37], [1, 12, 0, 1], [445, 12, 444, 13], [10, 3, 201, 448]], 'adelic_image': '456.96.1.?', 'conductor': 342, 'lmfdb_label': '342.c4', 'prime': 0}
-
id: 1453
{'conductor': 342, 'elladic_image': '8.6.0.5', 'lmfdb_label': '342.c4', 'modell_image': '2B', 'prime': 2}
-
id: 1454
{'conductor': 342, 'elladic_image': '3.8.0.2', 'lmfdb_label': '342.c4', 'modell_image': '3B.1.2', 'prime': 3}
-
ec_padic • Show schema
Hide schema
-
id: 4047
{'lmfdb_iso': '342.c', 'p': 7, 'prec': 20, 'unit': 6769145661301271, 'val': 1}
-
id: 4051
{'lmfdb_iso': '342.c', 'p': 13, 'prec': 20, 'unit': 81279469606464671953, 'val': 2}
-
id: 4053
{'lmfdb_iso': '342.c', 'p': 17, 'prec': 20, 'unit': 112322830337441201154122, 'val': 1}
-
id: 4058
{'lmfdb_iso': '342.c', 'p': 23, 'prec': 20, 'unit': 40425583267658300079814505, 'val': 1}
-
id: 4050
{'lmfdb_iso': '342.c', 'p': 29, 'prec': 20, 'unit': 5684019480916885898493796690, 'val': 1}
-
id: 4062
{'lmfdb_iso': '342.c', 'p': 31, 'prec': 20, 'unit': 13196649416448469734864662822, 'val': 1}
-
id: 4046
{'lmfdb_iso': '342.c', 'p': 37, 'prec': 20, 'unit': 319396460299524070638461976657, 'val': 1}
-
id: 4048
{'lmfdb_iso': '342.c', 'p': 41, 'prec': 20, 'unit': 1489938833900276201418236882170, 'val': 1}
-
id: 4049
{'lmfdb_iso': '342.c', 'p': 43, 'prec': 20, 'unit': 4430919872315904136962118128189, 'val': 1}
-
id: 4060
{'lmfdb_iso': '342.c', 'p': 47, 'prec': 20, 'unit': 28465833444403876132935649593715, 'val': 1}
-
id: 4055
{'lmfdb_iso': '342.c', 'p': 53, 'prec': 20, 'unit': 252179874704376174060534604384466, 'val': 1}
-
id: 4056
{'lmfdb_iso': '342.c', 'p': 59, 'prec': 20, 'unit': 2682840146508738519094474896984947, 'val': 1}
-
id: 4061
{'lmfdb_iso': '342.c', 'p': 61, 'prec': 20, 'unit': 2050353525541648278046033250874478, 'val': 1}
-
id: 4045
{'lmfdb_iso': '342.c', 'p': 67, 'prec': 20, 'unit': 22745107747337304063725035563693810, 'val': 1}
-
id: 4057
{'lmfdb_iso': '342.c', 'p': 73, 'prec': 20, 'unit': 219720546464974836020793773362724984, 'val': 1}
-
id: 4052
{'lmfdb_iso': '342.c', 'p': 79, 'prec': 20, 'unit': 486295208250985496881221892555507316, 'val': 1}
-
id: 4054
{'lmfdb_iso': '342.c', 'p': 83, 'prec': 20, 'unit': 1828916768818381614051949538690178748, 'val': 1}
-
id: 4059
{'lmfdb_iso': '342.c', 'p': 89, 'prec': 20, 'unit': 4302378727237896135404155168905475491, 'val': 1}
-
id: 4044
{'lmfdb_iso': '342.c', 'p': 97, 'prec': 20, 'unit': 8175711886640674396039104054375794935, 'val': 1}