# Stored data for newform 170.2.r.b, downloaded from the LMFDB on 20 April 2024. {"label": "170.2.r.b", "space_label": "170.2.r", "level": 170, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4504767892029610, "dim": 40, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [524288, -524288, 58392576, 208797696, 364873728, 1898371072, 8336092160, 16664130816, 15253938436, 7378390560, 9963824816, 14547516288, 3641604504, -7369546048, -4646611440, -233391952, 1254127368, 810165984, 8733960, -41929760, -137009124, -13847248, 64413440, 14804088, 29183189, 987720, 980536, 349384, 281660, 108808, 25032, 11944, 1856, -408, -72, -88, -48, -8, 0, 0, 1]]], "char_order": 16, "char_parity": 1, "char_degree": 8, "char_conductor": 85, "char_orbit_label": "r", "char_is_real": false, "Nk2": 680, "analytic_conductor": 1.3574568343617666, "level_radical": 170, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [170, 16, [137, 71], [12, 15]], "inner_twist_count": 2, "level_primes": [2, 5, 17], "conrey_indexes": [23, 37, 97, 107, 113, 143, 163, 167], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c16", "trace_display": [0, 0, 0, 0], "traces": [40, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 8, -8, 24, -8, 8, 16, -16, 0, -32, 8, -32, 0, 0, 0, -32, 0, -56, -24, 16, 16, 24, 0, 0, 0, 16, 0, -32, -16, 16, -24, -8, -8, -120, 16, 0, 8, 24, -8, -24, 0, -32, 0, 16, 0, 0, -8, 24, 56, 88, 32, 8, 0, 24, 32, -104, 8, 48, 16, 16, 0, 136, 96, 136, 0, -16, 24, 48, -8, -8, -8, -136, 0, 16, 72, 160, 32, 0, 16, -16, -32, -8, -16, 8, -24, 32, -8, -152, 0, 32, -8, -16, -16, -144, 0, -64, 0, -16, -24, 0, 24, 48, -144, 0, 0, -16, 16, 0, 0, -144, 0, 8, -24, -16, 8, 32, -16, 0, -16, -24, 0, 0, 32, 64, -32, -88, 8, -8, 16, -48, 0, -24, 32, 80, -104, 200, 0, -16, -64, -8, 0, 32, -16, -64, -24, 56, -16, 192, 16, -40, -16, -56, 0, 72, 16, -32, -168, -8, 48, 160, -8, 136, 0, -40, 16, -192, -8, -16, 0, 8, -16, -192, 16, 88, -16, 32, 0, 32, -96, 16, 48, -136, 24, -24, 0, 32, -40, -144, -40, -40, -8, -16, 24, 0, 0, -16, 8, 0, -48, -64, 0, -16, 16, -272, -8, 152, 136, 216, -8, -80, -128, 32, 0, 0, -24, 0, 16, 144, 88, 152, 96, 208, 32, -16, 0, -352, -24, -16, 16, 24, 112, 296, -40, 304, 160, -128, 16, -48, 32, 96, 0, -24, 16, 136, 80, 224, 192, 0, 0, 48, -144, 40, 32, -8, 16, 40, 8, -144, 160, 160, 16, 16, 24, -120, -16, 0, -32, 0, 0, 0, 32, -8, 0, -112, -32, 16, -24, 8, 0, -352, 0, -56, -48, 16, -24, -40, 16, -24, -32, 32, 8, 232, 16, 24, -200, -160, -8, -240, 0, 56, 0, -136, -8, -80, 0, 112, 16, 80, -16, -32, 8, -200, 0, -88, 0, 128, 32, -32, 32, -224, 0, -40, -24, -80, -8, -16, -192, -24, 0, -16, 72, 24, 0, -200, -32, -72, -8, -96, 8, 0, -16, -192, -40, 72, 0, 56, 16, -32, 8, 32, 8, -224, -8, 72, 0, 0, -24, -168, -144, 48, 0, -8, 48, 0, 56, -24, -240, -64, 32, 64, -88, 64, -16, -184, 136, 352, -8, 176, 144, -24, -32, 16, 16, -64, -16, 0, 40, 240, 32, 8, 160, 168, 32, 112, -48, -176, -8, -16, -128, 184, 0, 192, 192, 208, 24, -128, 8, -16, -24, -144, -160, -320, 16, 240, 224, 208, 160, 0, 64, 16, -120, -32, 48, -80, 8, -48, 152, 112, 32, 344, 128, -48, 8, -112, -88, -128, 0, -24, 24, 0, 48, 192, -232, 0, 56, -40, -64, 72, 0, -48, 40, -128, -136, 144, 32, -56, 0, -160, 0, 32, -16, 216, -72, 112, -96, -80, 40, -288, -16, 8, 0, -120, 0, 272, -352, 240, -32, 88, 64, -8, -24, -208, 0, -88, 0, 144, -160, 48, 0, -136, -48, 152, 0, 40, 48, -88, 0, 168, -48, 176, 32, 264, 0, -96, 32, -208, -152, 128, -16, -48, -8, 8, 0, 64, -16, 32, -72, 48, -288, -96, -8, -176, 16, -48, 0, -88, 40, 136, -136, -80, 32, 200, 128, 0, 152, 192, 16, 0, 48, -112, -160, -72, 64, -240, 8, 176, 272, 160, 24, -176, -288, -40, 0, -112, 32, 0, 168, 168, -96, 336, -16, 264, 72, -80, 32, -344, 16, -80, -16, 240, 400, 152, -128, 312, 208, 192, -24, -16, -56, -32, 8, -64, -16, 48, 0, 384, 40, 0, 176, -120, -32, -216, -32, 80, -168, -16, 24, -80, 272, -104, 0, 240, -32, -16, -96, -272, -16, 88, 16, 0, 112, 184, 120, -216, 24, -144, 8, 112, 0, -248, -64, -152, -136, -48, 64, -16, -176, -352, -72, -104, 8, 16, 16, 56, -112, -48, -8, -88, -64, 8, 0, -176, -32, -192, 8, -136, 24, -88, 8, -48, -48, -376, -88, -8, -16, 128, -8, -48, -8, -256, 16, 8, -16, -312, -48, -192, -184, -112, -24, -272, -80, 72, 0, -136, -144, 16, 16, 0, 24, -144, 0, -336, 32, 80, -184, 96, 0, -208, -16, 160, 128, -128, -48, 80, 0, -240, -40, -160, -48, 48, 40, 280, 144, 0, 128, 144, -160, -192, -32, 200, -72, -112, 0, 16, 368, 192, 16, 264, 352, 296, 0, -32, 72, -352, 72, 0, 176, 192, 96, 80, 192, 296, 192, 112, -32, -360, 40, -112, -200, 144, 0, 208, 192, 208, 0, -192, 136, 32, -8, 32, -352, -32, 144, 0, 160, 336, 144, 0, 104, 80, -112, -184, 0, 80, 40, 424, 296, 8, -16, 344, 168, 304, -136, 8, -144, 96, 16, -136, 56, 0, 112, -8, -72, 312, 40, -208, 48, 256, 0, 64, -24, 112, -16, 128, 32, -176, 40, -48, 16, -192, 24, -48, -104, 8, -160, -40, -16, -200, 16, 88, 0, -120, -48, 192, -176, 0, -8, 312, -24, -360, -16, -344, -80, 240, -40, 272, -248, 256, -40, -72, 160, 112, 24, -352, -96, 112, -248, 152, -16, -144, -24, 88, 0, 80, 32, -152, -304, 160, -16, -96, 96, -312, -16, -120, -120, -112, 8, 40, -128, 96, -48, -200, 128, 184, 0, 80, -104, 0, -112, 176, 112, 96, 8, 0, 16, -224, 176, -144, -16, 176, -32, -184, 184, 80, -48, 280, 48, 120, 8, 16, -16, -80, 40, -112, 48, 0, 8, -32, 32, -216, 168, 128, -168, 168, 16, -80, 32, -32, -48, 152, 208, 88, -160, -104, 296, -160, -16, -8, 72, -200, 0, 304, -336, 160, 352, 0, 208, 0, -16, 144, -416, 48, -32, -216, -192, 288, -24, 256, 176, -72, 16, 144, -32, -160, -16, -160, 64, -288, 152, 0, 0, 448, 24, -32, 144, -128, -8, 96, 0, -32, 0, -144, 8, 272, 16, 312, -96, -176, 24, -120, -240, 88, 32, 112, -240, -128, -16], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 85, 18, 1, 16, 0]], "char_orbit_index": 18, "prim_orbit_index": 18, "minimal_twist": "170.2.o.b", "char_is_minimal": true, "conrey_index": 23, "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}