Formats: - HTML - YAML - JSON - 2025-12-22T09:13:48.361928
Query: /api/mf_newforms/?_offset=0
Show schema

{'Nk2': 4842, 'analytic_conductor': 14.659438222583974, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 269, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 4, 'char_parity': -1, 'char_values': [538, 4, [271], [1]], 'cm_discs': [], 'conrey_index': 187, 'dim': 44, 'has_non_self_twist': 1, 'hecke_orbit': 1, 'hecke_orbit_code': 137489285658, 'id': 63164, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 269, 3, -1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '538.3.c.a', 'level': 538, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 269], 'level_radical': 538, 'minimal_twist': '538.3.c.a', 'prim_orbit_index': 3, 'related_objects': [], 'relative_dim': 22, 'rm_discs': [], 'sato_tate_group': '2.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '538.3.c', 'trace_display': [44, 2, 0, 4], 'traces': [44, 44, 2, 0, 0, 0, 4, -88, 0, 0, 0, -4, 0, 8, 38, -176, 0, -120, 18, 0, -16, 0, 68, -8, 196, 16, -22, 8, 18, 0, 88, -176, 96, 0, 10, -240, 180, 36, -54, 0, 144, -16, 0, 0, 0, 68, -156, -8, 0, 196, 0, 32, -188, -44, 0, 0, -88, 36, -98, -76, -244, 176, -10, 0, 0, 192, 220, 0, -70, 20, 156, -240, 0, 180, -102, 36, -28, -108, 0, 0, 392, 144, -250, 0, -342, -44, -60, 0, 0, -192, 66, 0, -536, -156, -472, 0, 0, 404, -188, 0, 584, 116, 0, 32, 56, -188, 312, -44, -8, -288, -384, -16, 290, -88, 108, 36, 196, -196, -308, -152, -668, -244, 336, 176, 804, 0, 0, 352, -160, -248, 820, 192, 0, 220, -1404, 0, 36, 0, -508, 20, 530, 312, 528, 0, -168, -148, 406, 0, 0, 0, 0, 0, 934, 0, 82, -108, 996, -8, -302, 0, -126, 392, 606, 0, 60, -500, 210, 32, -244, 0, 190, -88, 236, -60, 280, 0, -1268, 88, -498, -384, -244, 0, -222, -136, 844, -536, 244, 0, 0, -944, 0, 16, -932, 256, -300, 808, 464, -188, 0, -392, -510, 0, 0, 232, 236, 536, 0, 0, 680, 56, 0, 0, 56, 624, 0, 0, 0, -16, 836, -576, 514, 0, 546, -32, 0, 580, 8, 0, -658, 108, 0, 0, 0, 196, 40, -196, 876, -308, -724, -152, 222, -668, -1446, 0, 0, 0, 1158, 0, -436, 804, 620, 20, 0, 320, 0, 704, 278, -320, 128, -496, -1414, 820, -3324, 0, 72, -324, 1140, 0, 870, -2808, -726, 0, 0, 72, 0, 140, 584, 0, 2406, 0, -994, 0, 1476, 312, 1068, 528, 1332, 480, 0, -336, -500, -296, 516, 812, -904, -360, 1044, -296, 0, 204, 1256, 392, 0, -72, -1824, 1868, 72, 56, -2420, 164, -456, 0, -556, 0, 1632, -16, -924, 0, 596, 0, -2392, -252, -1256, 0, 0, 1212, 1380, -288, -2856, 120, -144, -500, 0, 0, -2660, 64, 490, -244, 1288, 684, -534, 0, 522, -88, 72, 236, -64, 0, -1356, 560, -1198, 0, 0, -1268, 1822, 176, -952, 0, -844, -384, 0, -488, 1012, -132, 0, 0, -212, -272, 0, 844, -2612, 0, -984, 488, 260, 312, -1700, -376, -1932, -944, 798, 368, -1022, 32, -580, -1864, -708, 512, -780, -600, 668, 808, 1550, 928, 0, 0, -940, -1492, 856, -784, -1440, 0, 1594, -1168, 3040, 64, 0, 232, -290, 236, 2868, 1072, 0, 1184, -1416, -64, 0, 0, 0, 0, 0, 404, 0, 376, -868, 56, 904, 624, 126, 2320, 224, 88, 0, 672, 1288, -16, 1760, 1672, 0, -576, 712, 1028, -1368, 768, 0, 1092, -434, -32, -780, -32, 0, 580, -1298, 16, -1296, 176, 0, 0, -1032, 0, 1408, -152, -1744, -72, 2880, 1624, -3190, 0, 1816, 40, 0, 0, -1412, 1752, 1214, 0, 0, -724, 2402, 0, 0, 444, 1760, 0, 0, 0, -268, 488, -4648, 1100, 0, -672, 3520, 0, 4124, -352, 0, -436, 1032, 0, 0, 0, -948, 40, -3162, -16, -718, 640, 972, 144, -1740, 704, 0, 0, 0, -320, 0, 256, 3406, -496, 2022, 0, 1292, 0, -3356, -3324, -1208, -384, -2616, 72, 5630, -648, 0, 2280, -1192, -440, 0, 1576, -9948, -2808, 3136, 0, 2264, 0, -994, 2252, 0, 72, 0, -1456, 0, 280, 2856, 1168, 2294, 1016, -476, 0, -4468, -40, -4748, -1988, -2932, -1060, -366, 1476, -1040, 0, -230, 1068, 1304, 0, -2942, 2664, -2212, 960, 696, -2236, 1780, -336, 0, -1000, 0, -296, -2448, 516, 0, 812, 0, -1808, 6036, -720, 0, 0, 3812, -592, 3118, -2784, 1080, 408, -2040, 0, 0, 784, 5248, -2060, -838, -144, -1162, -1824, 0, 1868, -2658, 72, 3502, 112, 0, -4840, 7072, 164, 0, 0, -850, 216, -3684, -556, 0, -1992, 710, 0, -6092, -16, -696, 0, 0, 604, -7228, 0, 3090, 0, 0, -2392, 10088, -252, 4904, -1256, 1474, -784, -2510, -1820, 502, 1212, 2412, 1380, -3752, -576, -11160, -5712, -3292, 120, 4706, -144, 4868, 0, 0, -2372, -6338, -420, 5596, -2660, 0, 64, -10570, 980, 6530, 0, -3352, 1288, 3246, 1368, 8936, 0, 3570, -380, 3198, 0, 0, 0, 0, 0, 412, 0, 2318, -64, 2718, 120, 2556, -1356, 6578, 560, 5828, 0, 7064, 0, -846, -2068, 4720, 0, -6874, 3644, 192, 176, 3092, 0, -5096, 996, -3184, -1688, -1572, 0, 366, -32, -3628, -488, 5326, 0, 0, -264, 0, 2868, -1968, 444, 1312, -424, -860, -272, 0, -1516, -4124, 0, 0, -5224, 1024, 1072, 0, 0, -1256, 488, 0, 0, 516, 624, 0, 0, 0, -752, 3804, -3864, -2372, 0, -1382, 1596, 0, 736, 1648, 0, 1626, 32, 0, 0, 0, -1864, 2020, -708, 6572, 512, 24, -780, -4988, -600, 992, 0, 0, 0, 2214, 0, -2744, 928, -4176, -2560, 0, 376, 0, -1880, -3328, -2984, -2404, 1712, 2800, -784, -5884, 0, -1668, 1020, -2064, 0, 8568, -2336, -6808, 3040, 0, 128, 0, -1124, 1346, 0, 3670, 0, -3086, 0, -408, 2868, 6736, 1072, 2406, -548, 0, 2368, -1368, -2832, -2292, -128, -124, -2204, -1818, -1360, 0, -316, 386, -112, 0, 2292, -3188, 808, 4988, 2068, -786, 752, 1022, 0, -2608, 0, 908, 1808, 4186, 0, 1694, 0, -700, 4640, -1180, 0, 0, 176, 276, -240, -5616, 1344, 1948, 1288, 0, 0, 620, 3520, -6186, 1672, 908, -1412, 392, 0, 1882, 712, -378, 1028, -3368, 0, -3088, 1536, 3468, 1312, 0, 1092, 1102, -868, -398, 0, -1336, -780, 0, -64, 4248, -1328, 0, 0, -2376, -2596, 0, 16, -10694, 0, -3776, 352, 6734, 1012, -6016, 1316, -2802, -1032, -1214, -216, 4768, 2816, -940, -304, 1908, -3488, -4524, -144, -682, 2880, 1204, 3248, 0, 0, -2464, -392, 410, 3632, -3362, 0, 2732, -6712, -5484, 392, 0, -1412, -2738, 1752, -1744, 2428, 0, 616, 2182, 4540, 0, 0, 0, 0, 0, 304, 0, 352, -4036, 444, -5122, 1760, -756, 1336, 1116, 4104, 0, 2892, 6536, -268, -818, 976, 0, -4648, 6824, 2200, -4058, 3524, 0, -1344, -1048, 3520, -10648, -2316, 0, 4124, -1246, -704, -6014, 1936, 0, 0, 6220, 0, 4164, -1608], 'weight': 3, 'weight_parity': -1}