# Stored data for newform 637.2.x.b, downloaded from the LMFDB on 24 April 2024. {"label": "637.2.x.b", "space_label": "637.2.x", "level": 637, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4505180208890493, "dim": 32, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [9, -36, 639, 312, -329, 610, -196, -810, 446, -94, 148, 10, -41, 10, -1, -2, 1]]], "char_order": 12, "char_parity": 1, "char_degree": 4, "char_conductor": 91, "char_orbit_label": "x", "char_is_real": false, "Nk2": 2548, "analytic_conductor": 5.086470608755561, "level_radical": 91, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [637, 12, [248, 197], [10, 5]], "inner_twist_count": 4, "level_primes": [7, 13], "conrey_indexes": [19, 80, 215, 570], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c12", "trace_display": [4, 0, 0, 0], "traces": [32, 4, 0, 12, 0, 0, 0, -16, -16, 0, 20, 0, 0, 0, -8, 12, 0, -64, 0, 0, 0, 4, 12, 0, 0, 0, 0, 0, 4, 0, 0, 64, 0, 0, 0, 0, 4, 0, 36, 0, 0, 0, -48, -84, 0, -108, 0, 0, 0, -44, 12, 0, -36, 0, 0, 0, -92, 44, 0, 28, 0, 0, 0, 0, 28, 0, 64, 0, 0, 0, 84, 4, 0, -24, 0, 0, 0, 148, 40, 0, -56, 0, 0, 0, 36, 108, 0, 0, 0, 0, 0, 24, -24, 0, 84, 0, 0, 0, -60, -72, 0, 132, 0, 0, 0, -68, -16, 0, -140, 0, 0, 0, 72, -240, 0, -12, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 24, 100, 0, 88, 0, 0, 0, 0, -132, 0, -152, 0, 0, 0, -64, 0, 0, -144, 0, 0, 0, 0, 148, 0, 16, 0, 0, 0, 0, 120, 0, -16, 0, 0, 0, 0, -56, 0, -8, 0, 0, 0, 36, 100, 0, 0, 0, 0, 0, 56, 16, 0, 0, 0, 0, 0, 0, -12, 0, 432, 0, 0, 0, 8, 8, 0, 128, 0, 0, 0, -28, 28, 0, -244, 0, 0, 0, -96, -60, 0, -228, 0, 0, 0, 8, 0, 0, 164, 0, 0, 0, -240, -12, 0, -60, 0, 0, 0, -72, -64, 0, -392, 0, 0, 0, -32, -144, 0, -152, 0, 0, 0, -32, 168, 0, -16, 0, 0, 0, 0, 96, 0, 124, 0, 0, 0, -24, -48, 0, 156, 0, 0, 0, -72, 44, 0, 56, 0, 0, 0, 252, 100, 0, 0, 0, 0, 0, 248, -196, 0, 204, 0, 0, 0, 56, -96, 0, 344, 0, 0, 0, -36, 52, 0, -104, 0, 0, 0, -28, -216, 0, -300, 0, 0, 0, 20, 0, 0, 292, 0, 0, 0, -48, 76, 0, -16, 0, 0, 0, -84, -132, 0, -144, 0, 0, 0, 204, -24, 0, -196, 0, 0, 0, 188, 220, 0, 36, 0, 0, 0, 0, -200, 0, 56, 0, 0, 0, 100, 24, 0, -40, 0, 0, 0, 12, 188, 0, -304, 0, 0, 0, -112, 116, 0, 0, 0, 0, 0, -96, 192, 0, 420, 0, 0, 0, 280, 272, 0, 292, 0, 0, 0, -80, -144, 0, -140, 0, 0, 0, -44, -36, 0, -36, 0, 0, 0, -136, 0, 0, 256, 0, 0, 0, 132, -40, 0, -44, 0, 0, 0, -240, -260, 0, -480, 0, 0, 0, -108, -192, 0, -180, 0, 0, 0, -72, 236, 0, 232, 0, 0, 0, 0, 432, 0, -164, 0, 0, 0, -72, -284, 0, 128, 0, 0, 0, -84, -60, 0, -88, 0, 0, 0, 28, 148, 0, 0, 0, 0, 0, -48, -308, 0, 0, 0, 0, 0, 136, -176, 0, -68, 0, 0, 0, -12, 12, 0, 56, 0, 0, 0, -4, -420, 0, -120, 0, 0, 0, -60, 0, 0, 124, 0, 0, 0, -72, 332, 0, 196, 0, 0, 0, 180, -332, 0, 20, 0, 0, 0, -24, 72, 0, -168, 0, 0, 0, -72, 148, 0, 28, 0, 0, 0, 0, -12, 0, 48, 0, 0, 0, -208, 176, 0, -8, 0, 0, 0, -112, 432, 0, -208, 0, 0, 0, -44, -128, 0, 0, 0, 0, 0, -112, 80, 0, 60, 0, 0, 0, -188, 296, 0, 212, 0, 0, 0, 224, -4, 0, -80, 0, 0, 0, -116, 120, 0, -120, 0, 0, 0, 144, 0, 0, 144, 0, 0, 0, -228, -124, 0, -160, 0, 0, 0, 120, 0, 0, -156, 0, 0, 0, 380, -240, 0, -20, 0, 0, 0, 52, 116, 0, 72, 0, 0, 0, 0, 92, 0, 268, 0, 0, 0, 360, -412, 0, -44, 0, 0, 0, -100, -72, 0, 64, 0, 0, 0, 128, 256, 0, 0, 0, 0, 0, 256, -224, 0, 252, 0, 0, 0, 60, -8, 0, -16, 0, 0, 0, 68, -100, 0, -84, 0, 0, 0, 104, -240, 0, 324, 0, 0, 0, 108, 0, 0, -44, 0, 0, 0, 192, 216, 0, -104, 0, 0, 0, 228, -188, 0, -216, 0, 0, 0, -108, -132, 0, -24, 0, 0, 0, 408, 368, 0, 16, 0, 0, 0, 0, -464, 0, -164, 0, 0, 0, -376, -12, 0, -40, 0, 0, 0, -40, 16, 0, 312, 0, 0, 0, 28, -24, 0, 0, 0, 0, 0, 176, 536, 0, 228, 0, 0, 0, 48, -48, 0, 168, 0, 0, 0, -400, -28, 0, -56, 0, 0, 0, -20, 300, 0, -156, 0, 0, 0, -76, 0, 0, -28, 0, 0, 0, -456, -96, 0, -184, 0, 0, 0, -444, 260, 0, -44, 0, 0, 0, -472, 132, 0, 8, 0, 0, 0, -488, -188, 0, -320, 0, 0, 0, 0, 168, 0, 164, 0, 0, 0, -72, 80, 0, 60, 0, 0, 0, -52, -188, 0, -368, 0, 0, 0, -92, -20, 0, 0, 0, 0, 0, 64, -508, 0, -216, 0, 0, 0, -284, 312, 0, 52, 0, 0, 0, 308, 72, 0, -360, 0, 0, 0, 148, -240, 0, -228, 0, 0, 0, 48, 0, 0, 108, 0, 0, 0, 276, 20, 0, 260, 0, 0, 0, -240, 96, 0, 128, 0, 0, 0, 204, -120, 0, 92, 0, 0, 0, 200, -64, 0, 116, 0, 0, 0, 0, -192, 0, 24, 0, 0, 0, 364, -56, 0, -36, 0, 0, 0, -24, 180, 0, 520, 0, 0, 0, -284, 8, 0, 0, 0, 0, 0, -80, 48, 0, 84, 0, 0, 0, 100, 176, 0, -24, 0, 0, 0, 132, -204, 0, 144, 0, 0, 0, 264, 324, 0, 48, 0, 0, 0, 84, 0, 0, -372, 0, 0, 0, 0, -172, 0, 188, 0, 0, 0, 132, 356, 0, -4, 0, 0, 0, -376, 132, 0, 88, 0, 0, 0, -56, -36, 0, 88, 0, 0, 0, 0, 68, 0, -144, 0, 0, 0, 96, 232, 0, -32, 0, 0, 0, 540, -120, 0, 120, 0, 0, 0, 108, -240, 0, 0, 0, 0], "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, 7, 2, -1, 2, 0], [1, 1, 91, 23, 1, 12, 0], [1, 1, 91, 30, -1, 12, 0]], "char_orbit_index": 24, "prim_orbit_index": 23, "minimal_twist": "91.2.bc.a", "char_is_minimal": false, "conrey_index": 19, "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}