# Stored data for newform 544.2.x.a, downloaded from the LMFDB on 23 September 2025.
{"Nk2": 2176, "analytic_conductor": 4.343861869957653, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 544, "char_degree": 4, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 24, "char_orbit_label": "x", "char_order": 8, "char_parity": 1, "char_values": [544, 8, [511, 69, 513], [8, 7, 1]], "cm_discs": [], "conrey_index": 77, "dim": 280, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1580581519904, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 544, 24, 1, 8, 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": "544.2.x.a", "level": 544, "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, 17], "level_radical": 34, "minimal_twist": "544.2.v.a", "prim_orbit_index": 24, "related_objects": [], "relative_dim": 70, "rm_discs": [], "sato_tate_group": "1.2.3.c8", "self_twist_discs": [], "self_twist_type": 0, "space_label": "544.2.x", "trace_display": [-4, -4, 0, -4], "traces": [280, -4, -4, -8, 0, -4, -4, -4, 0, 4, -4, -4, 0, 8, 0, -24, 0, 4, 12, 12, -12, -4, -4, 48, -256, -4, 8, 28, -4, 8, -24, -64, 8, -28, 12, 44, -8, 0, -4, 48, -4, 56, -4, -32, 32, 8, -80, -56, 0, 12, -4, -28, -4, 124, 0, -32, -4, 24, -4, 20, -72, -4, -36, -8, 12, 48, -8, -20, 4, 44, 28, 52, -4, -32, 4, -20, -4, -104, 0, 76, -240, -104, -44, 36, 48, 32, 88, 12, 0, 84, -56, -124, -4, -136, 12, -4, -8, 0, 20, 92, -8, 36, -8, 52, 24, -60, 72, 104, 0, -48, -24, 44, 0, -28, 84, 76, 32, -12, 36, 104, 0, 40, -12, 108, 0, -36, -8, -32, 4, -16, -44, -56, 48, -60, 112, -48, -8, -192, 0, -12, -48, -128, -84, -28, 40, -64, 120, -88, 0, 52, -120, -204, 32, -20, 52, -24, 0, 88, -12, 120, -8, -184, -88, -204, 0, 60, -60, 116, -8, 116, 68, 164, -4, -4, -36, 216, -12, -204, -4, -264, 28, -220, -24, 76, 0, 76, 60, 116, 32, 80, 0, -44, -8, 68, -16, -48, 76, -60, 28, -268, -4, 44, -76, -56, 12, 4, 164, 20, -44, -24, 0, -16, 76, -140, -4, 140, 0, -80, 140, 104, 8, -220, -8, 32, 0, -40, 0, 160, -100, 44, 16, 204, -4, -4, 0, -100, 84, 152, 0, 16, 64, -68, 180, -92, 52, 88, 0, -92, 60, 68, -80, -128, -4, -72, -40, 8, -8, -40, -28, -84, 20, 32, 104, -28, -36, 288, -8, -48, 12, 68, 0, -72, 0, 172, -236, 344, -8, -96, 200, -40, -8, -164, 28, 128, -24, 112, -8, 400, 56, -44, -220, 228, 0, -68, -20, -168, 0, 200, -120, 40, -96, 128, 100, 192, 0, 516, 80, 36, 0, 292, 60, -408, -4, -148, 92, -84, 0, 172, 0, 360, -8, -132, -132, 4, -56, -380, 0, -96, -32, -88, 60, -244, 0, 84, 204, -76, 0, -108, -132, 220, 100, -40, 24, 48, -24, 48, -12, -44, 92, -56, 56, -116, 0, 476, -84, -188, 52, -192, 0, -152, 0, -224, -180, 240, 36, 388, 56, -76, 60, 100, 72, -468, -8, -80, 16, -196, -4, 252, 0, -80, -8, -160, -88, -256, 56, 40, -180, -152, -4, 356, -100, -136, -8, -132, -92, -404, 184, 48, -120, 84, 0, -32, 176, 92, 0, 192, -232, 368, -8, 260, 56, 24, 128, 568, -220, 76, 16, 48, 0, 340, -112, 8, 0, 200, -72, 12, -276, -76, 40, -332, 112, -304, 0, 164, 0, 312, -320, -328, -124, -84, -8, -184, 200, -480, -48, 80, -36, -140, -8, 548, -44, 172, -144, 384, 40, -192, -8, -204, -72, -144, 76, -352, 48, -108, -56, 88, 84, 192, -256, 228, 252, 624, -4, -176, -28, 48, 164, -220, -64, 8, -60, 20, -280, -36, 36, 416, 44, -248, -24, 48, -164, -212, 44, 24, -16, 72, 0, 52, -552, -552, -196, 48, 92, -764, 36, -28, 376, 192, -88, -344, 80, 32, 80, 160, 312, 324, -32, -60, -104, 132, -68, -24, 240, 208, 4, -128, -80, 168, 128, 40, -44, 8, 208, 144, 0, 176, 60, -220, 0, 128, 124, -56, 200, -176, 88, -524, 260, -352, 0, 92, 180, 224, 0, 164, 104, -64, 0, -304, 0, -504, -56, -76, -220, -580, -108, 84, 124, -148, -8, -520, -116, -24, -88, -12, 300, -500, -16, -320, 4, -240, 48, -568, 60, 332, -12, 204, 140, 256, 152, -308, 120, -460, -64, 332, 236, -124, -4, 424, 0, -36, 60, 520, 160, 164, 32, -344, 112, 132, -80, 124, -112, -148, -136, 4, -224, 12, 28, -216, 36, 296, 32, -132, -56, 320, 128, -748, -48, 332, -152, 520, -216, -28, 0, 416, 264, -540, 136, -324, -548, 324, -8, -140, -20, 496, 24, -132, -8, 420, -4, -472, -456, 96, 0, 328, -120, 192, 60, -244, -152, 352, 124, -440, -188, 344, 0, 4, 156, 636, 0, -116, 136, -156, -8, -80, 248, -400, -8, -368, -376, -488, -48, -512, 0, 184, -64, -772, 212, -8, 0, -164, -200, -464, -12, -16, 376, -392, -4, -308, -140, -36, -320, 708, 44, 316, -64, -300, 536, -388, 0, 744, -96, 28, -8, 492, -88, 696, -72, 92, 32, 332, 0, -160, 148, -128, 28, -612, 0, 240, 0, 244, -60, 120, -340, 200, 0, 112, 36, -64, -4, -376, -96, -148, 92, -924, -4, 148, 308, -72, -100, 672, -464, 156, -172, 300, 0, 192, -132, -340, -248, 196, 0, 20, -132, 568, -16, -312, -8, -184, 0, 92, 0, 652, 92, 352, -72, 664, 128, -16, 0, -168, -92, 168, 0, -8, 52, -388, -492, -60, 256, 312, 0, -76, -4, 16, 544, 108, -164, 292, -192, 64, -8, 20, 76, -120, 264, -8, 536, -156, -4, 444, 184, 68, 8, 100, 0, 660, 0, 444, 632, 496, -8, -112, -380, 200, -248, -348, -204, 440, 368, 208, -8, 428, -8, 32, 364, 728, 112, 40, 220, 184, 0, 460, 208, 160, -76, 112, -212, 904, 0, 888, -340, 464, 0, 388, -620, -564, -4, -352, -116, -108, 0, 512, 0, 1144, -8, -280, 468, 208, -84, -768, 0, 200, 192, -268, -320, -436, 0, 280, -324, -188, 128, -208, 312, 188, 360, 68, -76, -60, 96, 292, -44, -408, -192, -252, -212, -560, 0, 1068, 108, -824, -132, -252, 0, -436, 0, -528, 308, 492, 32, 692, -104, -548, -44, -128, -232, -856, -276, 264, -8, -388, -164, 180, 0, -292, -168, -256, 352, -564, 120, 204, 220, -280, -4, 692, 120, -640, -8, -356, 476, -704, -8, 276, 128, 304, -112, 64, -60, 544, 0, 180, 624, 468, 56, 608, -16, -92, -40, 780, 488, -8, -8, -188, 0, 172, -108, 104, 0, 748, -4, 28, 260, 148, -180, -396, -468, -556, 0, 404, 0, 660, 64, -556, 84, -60, 64, -460, -424, -732, 200, -140, 168, -328, 4, 336, 388, 256, -100, 544, -144, -320], "weight": 2, "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}