# Stored data for newform 936.2.cw.b, downloaded from the LMFDB on 11 September 2025. {"Nk2": 3744, "analytic_conductor": 7.473997629191844, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 117, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 75, "char_orbit_label": "cw", "char_order": 6, "char_parity": 1, "char_values": [936, 6, [703, 469, 209, 145], [6, 6, 4, 3]], "cm_discs": [], "conrey_index": 25, "dim": 80, "has_non_self_twist": 1, "hecke_cutters": [[5, [4746193387776, 0, -1691973316791360, 0, 496099678475455632, 0, -35739458913988367712, 0, 1977101337104995672512, 0, -23784696246502678871568, 0, 191761965332482876531852, 0, -794606085561965673192356, 0, 2198461538256895967094312, 0, -4460622039328639258792884, 0, 7057195825638978382039281, 0, -9007185275895931111376193, 0, 9499071247119576587639179, 0, -8407924243624665609285896, 0, 6319721519423309283295917, 0, -4067224253936256267083000, 0, 2255925327156561578032969, 0, -1083718970537455832422176, 0, 452767203585581620415421, 0, -165065744840028596659125, 0, 52668296207626812741813, 0, -14744461640855544551360, 0, 3629475660457102486666, 0, -786970453416350153889, 0, 150516621570820367581, 0, -25416859427055408887, 0, 3791120351442122589, 0, -499401576461443011, 0, 58052526460874889, 0, -5945280161087154, 0, 535056909222265, 0, -42156779720159, 0, 2892759625884, 0, -171620189018, 0, 8715987424, 0, -373594365, 0, 13245432, 0, -376440, 0, 8157, 0, -122, 0, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4508684902204328, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0], [1, 1, 13, 2, 1, 2, 0], [1, 1, 117, 20, 1, 6, 0]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "936.2.cw.b", "level": 936, "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, 13], "level_radical": 78, "minimal_twist": "936.2.cw.b", "prim_orbit_index": 20, "related_objects": [], "relative_dim": 40, "rm_discs": [], "sato_tate_group": "1.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "936.2.cw", "trace_display": [0, -6, 0, 0], "traces": [80, 0, -6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 6, 0, 0, 0, -4, 0, 0, 0, 0, 0, 10, 0, 44, 0, 6, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 40, 0, 0, 0, -26, 0, 0, 0, 0, 0, 48, 0, 36, 0, 60, 0, -16, 0, 0, 0, 0, 0, -10, 0, 0, 0, -26, 0, 0, 0, -38, 0, 0, 0, 0, 0, 32, 0, 32, 0, 6, 0, -38, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 66, 0, -32, 0, -40, 0, -148, 0, 0, 0, 0, 0, 36, 0, 0, 0, 80, 0, 0, 0, 56, 0, 0, 0, 0, 0, -8, 0, 6, 0, 78, 0, 20, 0, 0, 0, 0, 0, -26, 0, 0, 0, -48, 0, 0, 0, -62, 0, 0, 0, 0, 0, -12, 0, -128, 0, 38, 0, -34, 0, 0, 0, 0, 0, -84, 0, 0, 0, 22, 0, 0, 0, 54, 0, 0, 0, 0, 0, 52, 0, -68, 0, -140, 0, -100, 0, 0, 0, 0, 0, -34, 0, 0, 0, 168, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, -24, 0, -68, 0, 6, 0, 0, 0, 0, 0, 32, 0, 0, 0, -20, 0, 0, 0, 12, 0, 0, 0, 0, 0, -244, 0, -220, 0, 4, 0, 72, 0, 0, 0, 0, 0, -46, 0, 0, 0, -62, 0, 0, 0, 176, 0, 0, 0, 0, 0, -50, 0, 134, 0, -120, 0, 6, 0, 0, 0, 0, 0, 48, 0, 0, 0, -30, 0, 0, 0, -116, 0, 0, 0, 0, 0, 64, 0, -100, 0, -200, 0, 116, 0, 0, 0, 0, 0, 88, 0, 0, 0, -28, 0, 0, 0, 132, 0, 0, 0, 0, 0, -216, 0, -104, 0, 68, 0, 346, 0, 0, 0, 0, 0, -166, 0, 0, 0, -48, 0, 0, 0, -50, 0, 0, 0, 0, 0, -36, 0, 34, 0, -6, 0, 152, 0, 0, 0, 0, 0, 70, 0, 0, 0, -22, 0, 0, 0, 66, 0, 0, 0, 0, 0, -216, 0, 214, 0, -168, 0, 62, 0, 0, 0, 0, 0, 138, 0, 0, 0, -220, 0, 0, 0, -92, 0, 0, 0, 0, 0, 68, 0, 70, 0, -66, 0, 246, 0, 0, 0, 0, 0, 36, 0, 0, 0, 4, 0, 0, 0, 132, 0, 0, 0, 0, 0, 224, 0, -96, 0, -112, 0, 142, 0, 0, 0, 0, 0, 56, 0, 0, 0, -130, 0, 0, 0, 44, 0, 0, 0, 0, 0, -102, 0, 268, 0, 50, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, -16, 0, 0, 0, 0, 0, 70, 0, 360, 0, -40, 0, 90, 0, 0, 0, 0, 0, 158, 0, 0, 0, -44, 0, 0, 0, 192, 0, 0, 0, 0, 0, 64, 0, -72, 0, 332, 0, -188, 0, 0, 0, 0, 0, 404, 0, 0, 0, -118, 0, 0, 0, -80, 0, 0, 0, 0, 0, 20, 0, 332, 0, 480, 0, -188, 0, 0, 0, 0, 0, -14, 0, 0, 0, 80, 0, 0, 0, -4, 0, 0, 0, 0, 0, 110, 0, 130, 0, -16, 0, -166, 0, 0, 0, 0, 0, 166, 0, 0, 0, -12, 0, 0, 0, -86, 0, 0, 0, 0, 0, -16, 0, 80, 0, 124, 0, -428, 0, 0, 0, 0, 0, 144, 0, 0, 0, 198, 0, 0, 0, 16, 0, 0, 0, 0, 0, -84, 0, -286, 0, 158, 0, 62, 0, 0, 0, 0, 0, 2, 0, 0, 0, 156, 0, 0, 0, 24, 0, 0, 0, 0, 0, -142, 0, -80, 0, -200, 0, -376, 0, 0, 0, 0, 0, -76, 0, 0, 0, 48, 0, 0, 0, -46, 0, 0, 0, 0, 0, -20, 0, 32, 0, 178, 0, -64, 0, 0, 0, 0, 0, 154, 0, 0, 0, -22, 0, 0, 0, -192, 0, 0, 0, 0, 0, 70, 0, -486, 0, -112, 0, -132, 0, 0, 0, 0, 0, -128, 0, 0, 0, 62, 0, 0, 0, -40, 0, 0, 0, 0, 0, 112, 0, -244, 0, 88, 0, 134, 0, 0, 0, 0, 0, -194, 0, 0, 0, 90, 0, 0, 0, -136, 0, 0, 0, 0, 0, -4, 0, -18, 0, -78, 0, 278, 0, 0, 0, 0, 0, -472, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 20, 0, -134, 0, -584, 0, -140, 0, 0, 0, 0, 0, -26, 0, 0, 0, -48, 0, 0, 0, -212, 0, 0, 0, 0, 0, 94, 0, -260, 0, -144, 0, 200, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 176, 0, 8, 0, -208, 0, 108, 0, 0, 0, 0, 0, -476, 0, 0, 0, -264, 0, 0, 0, -6, 0, 0, 0, 0, 0, 392, 0, -140, 0, -214, 0, -4, 0, 0, 0, 0, 0, -52, 0, 0, 0, -76, 0, 0, 0, 122, 0, 0, 0, 0, 0, 324, 0, 278, 0, 56, 0, 396, 0, 0, 0, 0, 0, -48, 0, 0, 0, 28, 0, 0, 0, -154, 0, 0, 0, 0, 0, -68, 0, 32, 0, 292, 0, 266, 0, 0, 0, 0, 0, 248, 0, 0, 0, -142, 0, 0, 0, -204, 0, 0, 0, 0, 0, -30, 0, 314, 0, 202, 0, -36, 0, 0, 0, 0, 0, -252, 0, 0, 0, -84, 0, 0, 0, -564, 0, 0, 0, 0, 0, 244, 0, 312, 0, -256, 0, -182, 0, 0, 0, 0, 0, 206, 0, 0, 0, 50, 0, 0, 0, 24, 0, 0, 0, 0, 0, 136, 0, 18, 0, 166, 0, -328, 0, 0, 0, 0, 0, -400, 0, 0, 0, 228, 0, 0, 0, 180, 0, 0, 0, 0, 0, -198, 0, 78, 0, 428, 0, 92, 0, 0, 0, 0, 0, -174, 0, 0, 0], "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}