# Stored data for newform 96.2.o.a, downloaded from the LMFDB on 19 April 2024. {"label": "96.2.o.a", "space_label": "96.2.o", "level": 96, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 962106228832, "dim": 56, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 8, "char_parity": 1, "char_degree": 4, "char_conductor": 96, "char_orbit_label": "o", "char_is_real": false, "Nk2": 384, "analytic_conductor": 0.7665638594042917, "level_radical": 6, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [96, 8, [31, 37, 65], [4, 5, 4]], "inner_twist_count": 4, "level_primes": [2, 3], "conrey_indexes": [11, 35, 59, 83], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 14, "sato_tate_group": "1.2.3.c8", "trace_display": [0, -4, 0, -8], "traces": [56, 0, -4, -8, 0, -4, -8, 0, -4, -16, 0, -4, -8, 0, -8, -40, 0, -4, -8, 0, -4, -24, 0, 16, -8, 0, -28, -8, 0, 44, 0, 0, -8, -24, 0, 48, -8, 0, -28, 24, 0, 56, -8, 0, -4, 24, 0, 48, 0, 0, -16, 48, 0, 40, 24, 0, -4, 96, 0, 8, -40, 0, 0, 40, 0, -28, 56, 0, -4, 40, 0, -64, -8, 0, 16, 48, 0, -92, 16, 0, 0, -48, 0, -136, -48, 0, 52, -48, 0, -136, 40, 0, 8, -64, 0, -104, -16, 0, 60, -152, 0, -104, 40, 0, -32, -112, 0, -28, -8, 0, 72, -104, 0, 20, 8, 0, 44, -128, 0, 112, -8, 0, 76, 32, 0, 128, 0, 0, -8, 80, 0, 128, -8, 0, 76, 64, 0, 152, -40, 0, 56, 216, 0, 136, 0, 0, 48, 184, 0, 88, -120, 0, -40, 208, 0, 24, -8, 0, 0, 272, 0, -56, -88, 0, 60, 112, 0, -112, -8, 0, -60, 16, 0, -164, -144, 0, 0, 56, 0, -200, 56, 0, -92, -96, 0, -192, -160, 0, 76, -184, 0, -192, -16, 0, -148, -136, 0, -96, -72, 0, -4, -224, 0, -64, 56, 0, -168, -168, 0, 72, -72, 0, 44, -64, 0, 128, 48, 0, -140, -112, 0, 220, 0, 0, -8, 32, 0, 240, 24, 0, -144, 104, 0, 240, 144, 0, -16, 48, 0, 200, 0, 0, -84, 288, 0, 112, 88, 0, -4, 160, 0, 96, 120, 0, 0, 96, 0, -12, 152, 0, -4, 168, 0, -80, 56, 0, 84, -56, 0, -228, 272, 0, 0, -144, 0, -248, 56, 0, 136, -208, 0, -192, 232, 0, -76, -312, 0, -200, -88, 0, 160, -232, 0, -76, 184, 0, -4, -336, 0, -28, -8, 0, 232, -320, 0, 56, 136, 0, -116, -104, 0, 184, -8, 0, 208, -192, 0, 180, 0, 0, -8, 0, 0, 312, 32, 0, 148, 192, 0, 192, -104, 0, -116, 120, 0, 208, 0, 0, 104, 96, 0, 224, -48, 0, 56, 288, 0, 56, -40, 0, 0, 160, 0, -4, -312, 0, -152, 72, 0, -184, 56, 0, -64, 152, 0, -188, -176, 0, 0, -112, 0, -144, -104, 0, -216, -48, 0, -288, -168, 0, -120, -80, 0, -176, -16, 0, -244, -344, 0, -144, -240, 0, 92, -176, 0, -8, -104, 0, -296, -96, 0, 68, 16, 0, -136, -120, 0, 32, 56, 0, -244, 184, 0, 184, 0, 0, -8, 184, 0, 240, -168, 0, -120, 56, 0, 264, 88, 0, -44, 488, 0, 208, 0, 0, -76, 368, 0, 112, 264, 0, 60, 112, 0, -40, -136, 0, 0, 432, 0, -76, 200, 0, -4, 208, 0, -96, -8, 0, 80, 176, 0, -208, 240, 0, 0, 280, 0, -272, -104, 0, 212, -240, 0, -256, 272, 0, 76, -144, 0, -152, -16, 0, 320, -104, 0, -100, 168, 0, 92, -304, 0, -120, -144, 0, 328, 40, 0, 76, 104, 0, 156, -168, 0, 8, -8, 0, 316, -80, 0, 96, 0, 0, 56, 96, 0, 136, 80, 0, 244, 160, 0, 136, -216, 0, 204, 72, 0, 144, 0, 0, 124, 160, 0, -32, -264, 0, 92, 48, 0, 88, 120, 0, 0, -96, 0, -32, -328, 0, 204, 208, 0, -248, -64, 0, -148, -264, 0, -120, -528, 0, 0, -296, 0, -184, 176, 0, -272, 16, 0, -160, -360, 0, 144, -448, 0, -184, -16, 0, -320, -288, 0, -248, -328, 0, 32, -112, 0, 12, 368, 0, -296, -520, 0, -68, -336, 0, 156, -64, 0, 104, -72, 0, -332, -104, 0, 116, 0, 0, -8, -240, 0, 16, 248, 0, -256, 160, 0, 216, 24, 0, 44, 40, 0, 136, 0, 0, -156, -16, 0, 184, 248, 0, -4, 400, 0, -32, 256, 0, 0, 32, 0, -84, 440, 0, -44, -144, 0, -88, -136, 0, 200, 320, 0, -84, 336, 0, 0, -48, 0, -16, 216, 0, 216, 0, 0, -136, 248, 0, -120, 136, 0, -144, -16, 0, 436, -248, 0, -88, 256, 0, -4, 256, 0, 16, 56, 0, 344, 144, 0, -48, 40, 0, -224, 104, 0, 72, -144, 0, 356, 176, 0, 116, 0, 0, 112, 48, 0, 184, -8, 0, 304, 288, 0, 160, 24, 0, -216, 376, 0, 56, 0, 0, 104, 328, 0, -24, -424, 0, -100, 192, 0, 64, -136, 0, 0, 400, 0, 8, -248, 0, -292, 136, 0, 216, -136, 0, -140, 0, 0, -40, -208, 0, 0, 240, 0, -160, -136, 0, -232, -256, 0, 128, -456, 0, -280, 144, 0, -64, 112, 0, -336, 256, 0, 80, -96, 0, -192, -240, 0, -48, -200, 0, -504, 232, 0, 4, -88, 0, -180, -200, 0, 200, -136, 0, -420, -296, 0, 48, 0, 0, 56, 264, 0, 128, -256, 0, -364, -72, 0, 72, 328, 0, -128, -264, 0, -48, 0, 0, -136, 64, 0, 160, 312, 0, -164, -240, 0, 96, -296, 0, 0, -336, 0, -36, 552, 0, 104, -96, 0, 24, -8, 0, 100, -552, 0, 72, 656, 0, 0, -424, 0, 160, -136, 0, 328, 128, 0, 8, 504, 0, 144, -528, 0, 48, -16, 0, 324, -120, 0, 0, 456, 0, -200, -192, 0, 16, -104, 0, 472, -512, 0, 140, 344, 0, 260, -136, 0, 48, 48, 0, 376, -160, 0, -20, 0, 0, -8, -440, 0, -80, -112, 0, 288, -352, 0, 8, 24, 0, 332, -32, 0, 24, 0, 0, 116, -360, 0, -136, -168, 0, -164, 16, 0, -120, 152, 0, 0, -240, 0, 208, -320, 0, 364, -192, 0, 88, -8, 0, -212, 464, 0, 100, -368, 0, 0, -184, 0, -88, 184, 0, -348, -144, 0, -80, -448, 0, 364, 448, 0, -64, 168, 0, -468, -48, 0, 120, -408, 0, -72, 368, 0, 52, 280, 0, -384, 376, 0, 36, -8, 0, 220, -240, 0, -192, 120, 0, -392, 368, 0, -88, 0, 0, -8, 96, 0, -72, 440, 0, -308, 176], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 32, 8, -1, 8, 0], [1, 1, 96, 15, 1, 8, 0]], "char_orbit_index": 15, "prim_orbit_index": 15, "minimal_twist": "96.2.o.a", "char_is_minimal": true, "conrey_index": 11, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}