# Stored data for newform 270.3.n.a, downloaded from the LMFDB on 29 December 2025.
{"Nk2": 2430, "analytic_conductor": 7.356967137728017, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 135, "char_degree": 6, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 14, "char_orbit_label": "n", "char_order": 18, "char_parity": -1, "char_values": [270, 18, [191, 217], [1, 9]], "cm_discs": [], "conrey_index": 29, "dim": 216, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 893403529486, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 27, 6, -1, 18, 0], [1, 1, 135, 14, -1, 18, 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": "270.3.n.a", "level": 270, "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, 5], "level_radical": 30, "minimal_twist": "270.3.n.a", "prim_orbit_index": 14, "related_objects": [], "relative_dim": 36, "rm_discs": [], "sato_tate_group": "2.2.3.c18", "self_twist_discs": [], "self_twist_type": 0, "space_label": "270.3.n", "trace_display": [0, 0, -18, 0], "traces": [216, 0, 0, 0, -18, 12, 0, 0, 12, 0, -36, 0, 0, 36, 18, 0, 0, 0, 0, -72, 360, 0, 0, 0, 18, 0, 0, 0, -36, 144, 180, 0, 0, 0, 486, -192, 0, 0, 348, 0, -72, 0, 0, 0, 258, 0, 0, 0, -72, -288, -312, 0, 0, -360, 0, -72, 0, 0, -612, -36, -144, 0, 0, -864, -234, 0, 0, 0, 336, 0, 0, 0, 0, 288, 642, 0, 0, 0, 72, 0, 636, 0, 0, -216, 0, 432, 0, 0, -1620, -240, 0, 0, 0, -504, 108, 0, 0, 0, -1008, 0, -1332, 0, 0, 0, 552, 0, 0, 0, 0, 612, -1320, 0, 0, -384, 486, -648, 0, 0, -2484, -72, 468, 0, 0, 360, -1782, 264, 0, 0, -900, 144, 1224, 0, 0, 0, -1176, 0, 0, 0, -540, 144, 2448, 0, 0, 0, 0, 864, 0, 0, 2592, 876, 828, 0, 0, 0, 1008, 528, 0, 0, 924, 0, 0, 0, 0, 144, 2850, 396, 0, 0, -684, 1944, -3360, 0, 0, 1992, 306, -288, 0, 0, 1620, 540, 0, 0, 0, -72, 2052, -1392, 0, 0, 600, 0, -1476, 0, 0, 288, -882, -144, 0, 0, 0, -288, 2208, 0, 0, 336, 918, 3564, 0, 0, -360, -1152, -828, 0, 0, 468, 0, 624, 0, 0, 96, 792, 2952, 0, 0, 0, 1266, 0, 0, 0, 252, 432, 396, 0, 0, -1824, 378, -72, 0, 0, -3996, -96, 504, 0, 0, 0, -2862, -1452, 0, 0, -7140, -864, -1944, 0, 0, -2196, -4284, 0, 0, 0, 1080, -1620, 240, 0, 0, 96, -1710, 3600, 0, 0, 0, -4248, 0, 0, 0, 0, -3474, 600, 0, 0, 2412, 0, 6984, 0, 0, 1728, 1926, -1080, 0, 0, -1836, 1008, 3492, 0, 0, 3564, 162, 0, 0, 0, 8604, 1296, -468, 0, 0, 0, 3240, -2928, 0, 0, 3564, -756, -8496, 0, 0, 0, 3588, 0, 0, 0, -828, 288, -9048, 0, 0, 288, 0, -5760, 0, 0, 4644, 528, 1836, 0, 0, 0, -3690, 192, 0, 0, -3756, 0, 1296, 0, 0, -864, -102, 0, 0, 0, -1008, 0, 1140, 0, 0, -1632, -2340, -1728, 0, 0, -3240, 432, -2052, 0, 0, 504, 3348, -2736, 0, 0, -9516, 0, -3528, 0, 0, -7560, -3366, -1008, 0, 0, 5400, -216, -2340, 0, 0, 96, -2844, -2592, 0, 0, -6444, -2484, -1872, 0, 0, -2880, -6318, -48, 0, 0, -1668, -144, 2556, 0, 0, 0, -6024, -216, 0, 0, 1800, -1728, 6708, 0, 0, 1548, 0, 0, 0, 0, 10368, 1392, 3420, 0, 0, 0, 8910, 1248, 0, 0, 21048, 1296, 0, 0, 0, 9216, 11244, 1944, 0, 0, 6192, 1944, -7092, 0, 0, 2448, 54, -3528, 0, 0, 9720, 4056, 0, 0, 0, -432, 6372, -1440, 0, 0, 9180, 0, -3600, 0, 0, 144, 636, -864, 0, 0, 864, 1908, 612, 0, 0, 3456, -468, 2592, 0, 0, -4608, 768, -1656, 0, 0, 936, 0, 5640, 0, 0, -8040, 144, 7416, 0, 0, -3888, -84, 0, 0, 0, -108, -2268, 3180, 0, 0, -264, 0, 3888, 0, 0, -10044, -4404, 1008, 0, 0, 0, -10674, 1152, 0, 0, -15180, 288, 2916, 0, 0, -3096, -14598, 5760, 0, 0, -864, -9720, 11220, 0, 0, -3864, -3294, 792, 0, 0, 0, -4164, 0, 0, 0, 0, -10710, 9696, 0, 0, 11124, 864, 11772, 0, 0, 6048, 570, 2160, 0, 0, 0, 792, 4632, 0, 0, 3816, -2736, 0, 0, 0, 17748, 888, -1296, 0, 0, -828, 12960, 96, 0, 0, 15384, 1512, -12060, 0, 0, 2592, 13428, 2160, 0, 0, -2520, 4500, -13296, 0, 0, 5088, 0, -5184, 0, 0, -324, -672, -13176, 0, 0, 0, 4680, -7080, 0, 0, -6576, 3168, -10044, 0, 0, -4464, -2364, 0, 0, 0, 2628, 0, 2640, 0, 0, -1152, 4770, -8352, 0, 0, -23328, -2616, 0, 0, 0, 5328, -9270, -6120, 0, 0, -21624, 0, -11556, 0, 0, -9288, -6528, 3024, 0, 0, 0, -3384, -6264, 0, 0, -8400, 4050, 0, 0, 0, -17820, -1932, -1980, 0, 0, 792, -15066, -2880, 0, 0, -12720, 360, 8676, 0, 0, 0, -8772, -5616, 0, 0, 2088, 144, 6372, 0, 0, 5976, 2322, 4464, 0, 0, 14292, 7272, -10188, 0, 0, 1836, 8028, 96, 0, 0, 12792, 612, 0, 0, 0, 576, 14154, -6624, 0, 0, -288, 12312, 360, 0, 0, 18480, -1206, 1512, 0, 0, 23328, 1728, -756, 0, 0, -1656, 16740, 984, 0, 0, 8952, -432, -8568, 0, 0, 4680, 18114, 288, 0, 0, -1188, 6480, -10680, 0, 0, 768, -10602, 3888, 0, 0, 3132, 1740, 11880, 0, 0, -3744, 0, 2496, 0, 0, -22464, -2304, 3636, 0, 0, -3888, -9864, 2052, 0, 0, -17172, -9360, 13884, 0, 0, -10452, -702, 2880, 0, 0, -25956, -6000, -2196, 0, 0, -6048, -16092, 15504, 0, 0, -20964, 3204, 20736, 0, 0, -10368, -22992, -1440, 0, 0, -2016, 0, 23640, 0, 0, -1224, 6354, 11592, 0, 0, 0, -10944, 0, 0, 0, 0, -6606, 1776, 0, 0, 9096, 0, 11880, 0, 0, 864, -2214, -2160, 0, 0, -4320, -4644, 1560, 0, 0, 13632, 7686, 0, 0, 0, 28188, -1056, 6444, 0, 0, 3312, 14742, -8160, 0, 0, 27744, -1512, -8244, 0, 0, 9072, 16608, 0, 0, 0, 21960, 2628, -11484, 0, 0, 0, 0, -7632, 0, 0, 10080, 5556, 8820, 0, 0, 0, 21150, -5712, 0, 0, -5484, -792, -19116, 0, 0, -3528, 13428, 6444, 0, 0, 6696, 0, -22248, 0, 0, -21756, 1368, -576, 0, 0, -30780, -2136, 0, 0, 0, 2880, -15930, -13632, 0, 0, -45804, 0, -4572, 0, 0, -20016, -12498, 504, 0, 0, 6264, -864, 7068, 0, 0, -9552, 2088, -4860, 0, 0, -12240, -1944, 10512, 0, 0, -6984, -18306, -2304, 0, 0, -7488, -828, -360, 0, 0, 0, 3252, 0, 0, 0, -9396, 10188, -348, 0, 0, 14976, -864, 1296, 0, 0, 25272, 720, 6372, 0, 0, 0, 17226, -7212, 0, 0, 36600, -5328, 0, 0, 0, 17208, 24468, -576, 0, 0, -17784, 7128, 9492, 0, 0, 7848, -5760, 1584, 0, 0, 48924, 21804, -2160, 0, 0, -7632, 32526, 2232, 0, 0, 33660, 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}