# Stored data for newform 252.3.p.a, downloaded from the LMFDB on 21 September 2025. {"Nk2": 2268, "analytic_conductor": 6.8665026618794816, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 63, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 16, "char_orbit_label": "p", "char_order": 6, "char_parity": -1, "char_values": [252, 6, [127, 29, 73], [6, 4, 5]], "cm_discs": [], "conrey_index": 61, "dim": 32, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1030842482940, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 11, -1, 6, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "252.3.p.a", "level": 252, "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": false, "level_primes": [2, 3, 7], "level_radical": 42, "minimal_twist": "252.3.p.a", "prim_orbit_index": 11, "related_objects": [], "relative_dim": 16, "rm_discs": [], "sato_tate_group": "2.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "252.3.p", "trace_display": [0, 0, 0, 1], "traces": [32, 0, 0, 0, 0, 0, 1, 0, -6, 0, -12, 0, 15, 0, 9, 0, -27, 0, 0, 0, -36, 0, 30, 0, -160, 0, -9, 0, 24, 0, -24, 0, 81, 0, 141, 0, 11, 0, -21, 0, -90, 0, -16, 0, 39, 0, 108, 0, -61, 0, 117, 0, 54, 0, 0, 0, 51, 0, 45, 0, -165, 0, -93, 0, -33, 0, -35, 0, 105, 0, 138, 0, 0, 0, -195, 0, -123, 0, 37, 0, 126, 0, 378, 0, 30, 0, -237, 0, -261, 0, 45, 0, 111, 0, -48, 0, -57, 0, -45, 0, 0, 0, 0, 0, -189, 0, -345, 0, 26, 0, 99, 0, -63, 0, 0, 0, -3, 0, -516, 0, 196, 0, -57, 0, 0, 0, -128, 0, 69, 0, 0, 0, -108, 0, -573, 0, 276, 0, -204, 0, -393, 0, 783, 0, -360, 0, 759, 0, 630, 0, 302, 0, 714, 0, 72, 0, 144, 0, 330, 0, 222, 0, -74, 0, -219, 0, -18, 0, 425, 0, 450, 0, 459, 0, -50, 0, 801, 0, -474, 0, 0, 0, 522, 0, -1116, 0, 27, 0, -714, 0, -816, 0, 158, 0, -348, 0, 762, 0, -231, 0, -1362, 0, 777, 0, -3, 0, -207, 0, 144, 0, -229, 0, -1011, 0, -1620, 0, 198, 0, -123, 0, -312, 0, 981, 0, 591, 0, 0, 0, 0, 0, -564, 0, -804, 0, -114, 0, -621, 0, -330, 0, 0, 0, 855, 0, -1317, 0, -354, 0, 372, 0, 0, 0, 864, 0, 435, 0, 0, 0, 127, 0, -2367, 0, 156, 0, 621, 0, 42, 0, 756, 0, 609, 0, 1776, 0, 3282, 0, -446, 0, 312, 0, -672, 0, -192, 0, 2136, 0, 1155, 0, 113, 0, -612, 0, -999, 0, -327, 0, 1665, 0, 2169, 0, 514, 0, 2172, 0, -237, 0, 0, 0, 156, 0, -2052, 0, 288, 0, -1875, 0, -1539, 0, 27, 0, -705, 0, -84, 0, -30, 0, -3765, 0, 834, 0, 110, 0, 657, 0, 2007, 0, -7, 0, -2616, 0, -3312, 0, -635, 0, 1470, 0, -102, 0, -357, 0, -123, 0, 0, 0, 0, 0, -63, 0, -1401, 0, 266, 0, -1800, 0, -1092, 0, 0, 0, 618, 0, -3888, 0, -386, 0, -444, 0, 0, 0, -742, 0, 1929, 0, 0, 0, -666, 0, -4098, 0, 906, 0, 360, 0, -1263, 0, 4014, 0, 141, 0, 3054, 0, 4170, 0, 654, 0, 2601, 0, -606, 0, 69, 0, 2244, 0, 2928, 0, -156, 0, -549, 0, -3357, 0, -776, 0, 2487, 0, 6237, 0, -1176, 0, 4164, 0, 132, 0, 0, 0, 2202, 0, -2997, 0, -36, 0, -2304, 0, -2025, 0, -684, 0, 381, 0, 2442, 0, 1125, 0, -4482, 0, 1572, 0, -400, 0, 2010, 0, 1368, 0, 778, 0, -5826, 0, -3510, 0, 914, 0, 525, 0, -678, 0, -2367, 0, -324, 0, 0, 0, 0, 0, -2169, 0, -3822, 0, -322, 0, -1161, 0, 180, 0, 0, 0, 3798, 0, -3774, 0, 620, 0, 612, 0, 0, 0, -1026, 0, 2040, 0, 0, 0, 795, 0, -6195, 0, 978, 0, -1881, 0, -3876, 0, 4122, 0, -933, 0, 5115, 0, 6768, 0, 1162, 0, 2859, 0, -1911, 0, 1611, 0, 4731, 0, 2022, 0, 355, 0, -2079, 0, -1809, 0, 709, 0, 2607, 0, 6057, 0, 683, 0, 7062, 0, -426, 0, 0, 0, 393, 0, -6075, 0, 63, 0, -3294, 0, -5055, 0, 331, 0, -2922, 0, 2622, 0, -1509, 0, -7740, 0, 2181, 0, -261, 0, 189, 0, 3699, 0, -408, 0, -5745, 0, -7866, 0, -993, 0, 1860, 0, -417, 0, 1011, 0, -507, 0, 0, 0, 0, 0, -255, 0, -4794, 0, -605, 0, -3171, 0, -2133, 0, 0, 0, 2160, 0, -6804, 0, 416, 0, 255, 0, 0, 0, 778, 0, 2136, 0, 0, 0, 957, 0, -9657, 0, 3426, 0, -645, 0, -3204, 0, 6885, 0, -117, 0, 9042, 0, 10194, 0, -4086, 0, 5400, 0, -285, 0, -3456, 0, 7149, 0, 6132, 0, -315, 0, -1431, 0, -4365, 0, -346, 0, 7713, 0, 10098, 0, 1779, 0, 6471, 0, -1359, 0, 0, 0, 4179, 0, -7434, 0, 336, 0, -6615, 0, -5475, 0, 465, 0, 306, 0, 5094, 0, 657, 0, -10446, 0, 5355, 0, 557, 0, 1821, 0, 1341, 0, -261, 0, -8712, 0, -7470, 0, -1380, 0, 1560, 0, -2217, 0, -1056, 0, 3591, 0, 0, 0, 0, 0, -5937, 0, -6018, 0, 1051, 0, -1752, 0, -1038, 0, 0, 0, 5532, 0, -7629, 0, -190, 0, 1686, 0, 0, 0, -880, 0, 558, 0, 0, 0, -854, 0, -11598, 0, 2868, 0, 3150, 0, -2010, 0, 9216, 0, 3297, 0, 8073, 0, 10740, 0, 2412, 0, 2664, 0, -4464, 0, -597, 0, 7998, 0, 4572, 0, -12, 0, -738, 0, -1638, 0, -600, 0, 5148, 0, 6336, 0, -1620, 0, 9918, 0, -2700, 0, 0, 0, 117, 0, -9621, 0, 252, 0, -6663, 0, -7281, 0, -65, 0, -7173, 0, -1692, 0, 3672, 0, -14685, 0, 1932, 0, 3, 0, 585, 0, 6831, 0, 316, 0, -8136, 0, -16407, 0, 2732, 0, 1617, 0, -816, 0, 477, 0, -1683, 0, 0, 0, 0, 0, -978, 0, -6639, 0, 1368, 0, -6450, 0, -4506, 0, 0, 0, 2838, 0, -13830, 0, 574, 0, 1416, 0, 0, 0, 884, 0, 5091, 0, 0, 0, 1463, 0, -14040, 0, 3966, 0, -558, 0, -2166, 0, 11601, 0, -1836, 0, 11094, 0, 19758, 0, 3296, 0, 7371, 0, -156, 0, 2736, 0, 10701, 0, 8856, 0, 530, 0, -3300, 0, -9603, 0, 737, 0, 8427, 0, 13752, 0, 783, 0, 12150, 0, -1548, 0, 0, 0, 6327, 0, -7695, 0, -1404, 0, -9813, 0, -6882, 0, 228, 0, 2382, 0, 8406, 0, -3330, 0, -11700, 0, 6141, 0, 440, 0, 4266, 0, 4041, 0, -215, 0, -12957, 0, -9063, 0, 1086, 0, 4176, 0, -1824, 0, 5112, 0, 3873, 0, 0, 0, 0, 0, -6159, 0, -7431, 0, -2143, 0, -3087, 0, 336, 0, 0, 0, 7317, 0], "weight": 3, "weight_parity": -1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}