# Stored data for newform 3936.2.j.h, downloaded from the LMFDB on 08 May 2026.
{"Nk2": 15744, "analytic_conductor": 31.42911823557596, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 41, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 10, "char_orbit_label": "j", "char_order": 2, "char_parity": 1, "char_values": [3936, 2, [3199, 1477, 1313, 1441], [2, 2, 2, 1]], "cm_discs": [], "conrey_index": 3361, "dim": 22, "has_non_self_twist": 1, "hecke_cutters": [[5, [256, -960, -736, 3408, -744, -1864, 380, 384, -50, -33, 2, 1]], [23, [1441792, 2293760, 710656, -504064, -306368, 3344, 29304, 3896, -652, -124, 4, 1]], [31, [-2236352, -1110480, 2321244, 564301, -409764, -72352, 27340, 4042, -780, -104, 8, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525815900442464, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 41, 2, 1, 2, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "3936.2.j.h", "level": 3936, "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, 41], "level_radical": 246, "minimal_twist": "3936.2.j.h", "prim_orbit_index": 2, "related_objects": [], "relative_dim": 22, "rm_discs": [], "sato_tate_group": "1.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "3936.2.j", "trace_display": [0, 0, -4, 0], "traces": [22, 0, 0, 0, -4, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -8, 0, 30, 0, 0, 0, 0, 0, -16, 0, -4, 0, 0, 0, 8, 0, -12, 0, 2, 0, 8, 0, 4, 0, 0, 0, -30, 0, 20, 0, 0, 0, 0, 0, -4, 0, 12, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -8, 0, 0, 0, 22, 0, -4, 0, 0, 0, -12, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 8, 0, 12, 0, 0, 0, 0, 0, -12, 0, -16, 0, 0, 0, 48, 0, -58, 0, -4, 0, -72, 0, 48, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -8, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, -52, 0, 0, 0, 88, 0, 8, 0, 0, 0, -14, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, -56, 0, -4, 0, 0, 0, 0, 0, 12, 0, 52, 0, 0, 0, 20, 0, 32, 0, -20, 0, 8, 0, -64, 0, 0, 0, -8, 0, 72, 0, 0, 0, 0, 0, 0, 0, 88, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, -20, 0, 0, 0, 12, 0, -168, 0, 0, 0, -80, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -28, 0, 16, 0, 0, 0, 0, 0, -96, 0, 16, 0, 0, 0, 88, 0, -24, 0, 16, 0, -10, 0, 16, 0, 0, 0, -48, 0, 4, 0, 0, 0, 0, 0, 60, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -148, 0, 0, 0, -12, 0, 40, 0, 0, 0, -8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 84, 0, 0, 0, 0, 0, -80, 0, -66, 0, 0, 0, 168, 0, 184, 0, -2, 0, 144, 0, -24, 0, 0, 0, -40, 0, -80, 0, 0, 0, 0, 0, 96, 0, -8, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, -4, 0, 0, 0, 92, 0, 32, 0, 0, 0, -120, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 60, 0, 16, 0, 0, 0, 0, 0, 30, 0, 12, 0, 0, 0, 36, 0, -132, 0, -144, 0, 20, 0, 72, 0, 0, 0, -20, 0, -84, 0, 0, 0, 0, 0, 204, 0, 112, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -16, 0, 0, 0, 12, 0, 20, 0, 0, 0, 64, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -68, 0, -12, 0, 0, 0, 0, 0, -224, 0, 52, 0, 0, 0, 22, 0, -12, 0, -32, 0, 64, 0, -84, 0, 0, 0, 28, 0, 76, 0, 0, 0, 0, 0, -16, 0, 64, 0, -184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, -124, 0, 0, 0, -76, 0, -168, 0, 0, 0, -56, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, -44, 0, 88, 0, 0, 0, 0, 0, 52, 0, -112, 0, 0, 0, 56, 0, -20, 0, 48, 0, 188, 0, 0, 0, 0, 0, -208, 0, 22, 0, 0, 0, 0, 0, 0, 0, -4, 0, -68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, -96, 0, 0, 0, 184, 0, 4, 0, 0, 0, -92, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -220, 0, -88, 0, -28, 0, 0, 0, 0, 0, 44, 0, -192, 0, 0, 0, 8, 0, 96, 0, 96, 0, 140, 0, -84, 0, 0, 0, -16, 0, 88, 0, 0, 0, 0, 0, -40, 0, 464, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 16, 0, 0, 0, -32, 0, -192, 0, 0, 0, -224, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 76, 0, 0, 0, 0, 0, 0, 0, 132, 0, 56, 0, 0, 0, 120, 0, 24, 0, -100, 0, -180, 0, 12, 0, 0, 0, -88, 0, 16, 0, 0, 0, 0, 0, 144, 0, 204, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -296, 0, 0, 0, -24, 0, 12, 0, 0, 0, 20, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, -60, 0, -20, 0, 0, 0, 0, 0, -40, 0, 140, 0, 0, 0, -180, 0, 256, 0, -12, 0, 288, 0, -128, 0, 0, 0, -24, 0, 16, 0, 0, 0, 0, 0, -48, 0, -68, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 32, 0, 0, 0, -80, 0, 48, 0, 0, 0, -208, 0, 0, 0, 328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, -216, 0, 8, 0, 0, 0, 0, 0, -108, 0, 176, 0, 0, 0, 88, 0, 132, 0, -248, 0, -8, 0, 60, 0, 0, 0, -100, 0, 228, 0, 0, 0, 0, 0, 152, 0, -138, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -164, 0, 0, 0, 40, 0, 0, 0, 144, 0, 140, 0, 0, 0, -40, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, -48, 0, 24, 0, 0, 0, 0, 0, -504, 0, 12, 0, 0, 0, 4, 0, -80, 0, 142, 0, 176, 0, 16, 0, 0, 0, -8, 0, 16, 0, 0, 0, 0, 0, 116, 0, 264, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 260, 0, 0, 0, 84, 0, -8, 0, 0, 0, -48, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 58, 0, -104, 0, 0, 0, 0, 0, -60, 0, -136, 0, 0, 0, 80, 0, 20, 0, 4, 0, -172, 0, -64, 0, 0, 0, -428, 0, -204, 0, 0, 0, 0, 0, 160, 0, 72, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -412, 0, 0, 0, -48, 0, 0, 0, 152, 0, -80, 0, 0, 0, 120, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 376, 0, -24, 0, 32, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, -92, 0, -76, 0, 212, 0, 20, 0, 0, 0, 16, 0, 280, 0, 0, 0, 0, 0, -224, 0, 600, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, -6, 0, 0, 0, -36, 0, -328, 0, 0, 0, -268, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 64, 0, 128, 0, 0, 0, 0, 0, -96, 0, 28, 0, 0, 0, -80, 0, 0, 0, -64, 0, 84, 0, 120, 0, 0, 0, -96, 0, 16, 0, 0, 0, 0, 0, 80, 0, -268, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -88, 0, 0, 0, -88, 0, -104, 0, 0, 0, -52, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -140, 0, -216, 0, 72, 0, 0, 0, 0, 0, -160, 0, -164, 0, 0, 0, 280, 0, 472, 0, -40, 0, 576, 0, 376, 0, 0, 0, 28, 0, 72, 0, 0, 0, 0, 0, 70, 0, -48, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, -76, 0, 0, 0, 56, 0, 68, 0, 0, 0, -56, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 464, 0, 24, 0, 0, 0, 0, 0, 128, 0, 4, 0, 0, 0, 52, 0, -140, 0, -336, 0, 40, 0, 160, 0, 0, 0, -200, 0, -12, 0, 0, 0, 0, 0, 292, 0, 36, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, -256, 0, 0, 0, -80, 0, -16, 0, 0, 0, -68, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -176, 0, 88, 0, 0, 0, 0, 0, -568, 0, -32, 0, 0, 0, -244, 0, -176, 0, -300, 0, 280, 0, 14, 0, 0, 0, 56, 0, 68, 0, 0, 0, 0, 0, -160, 0, -24, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -412, 0, 0, 0, 4, 0, -8, 0, 0, 0, -212, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, -188, 0, 208, 0, 0, 0, 0, 0, -56, 0, -152, 0, 0, 0, 352, 0, 64, 0, 52, 0, 60, 0, -128, 0, 0, 0, -416, 0, 280, 0, 0, 0, 0, 0, 168, 0, -212, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -400, 0, 0, 0, -144, 0, 0, 0, 336, 0, 108, 0, 0, 0, -128, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -232, 0, 96, 0, -48, 0, 0, 0, 0, 0, 164, 0, 0, 0, 0, 0, -48, 0, 328, 0, -26, 0, 56, 0, 336, 0, 0, 0, -84, 0, 28, 0, 0, 0, 0, 0, 308, 0, 640, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 204, 0, 0, 0, -12, 0, -504, 0, 0, 0, -424, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, -16, 0, -128, 0, 0, 0, 0, 0, 20, 0, -12, 0, 0, 0, 16, 0, 68, 0, 40, 0, 184, 0, 152, 0, 0, 0, -136, 0, -52, 0, 0, 0, 0, 0, 140, 0, 32, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, -160, 0, 0, 0, -80, 0, -124, 0, 0, 0, -20, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, -32, 0, -280, 0, 0, 0, 0, 0, -200, 0, 184, 0, 0, 0, -392, 0, 512, 0, 20, 0, 224, 0, -342, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -508, 0, -8, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -244, 0, 0, 0, 64, 0, 0, 0, -208, 0, 104, 0, 0, 0, 48, 0, 0, 0, 424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -296, 0, -12, 0, 0, 0, 0, 0, 8, 0, 64, 0, 0, 0, 240, 0, 352, 0, -280, 0, 20, 0, 212, 0, 0, 0, -72, 0, 64, 0, 0, 0, 0, 0, 344, 0, -220, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, -328, 0, 0, 0, -168, 0, -140, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -432, 0, -64, 0, 0, 0, 0, 0, -616, 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}