# Stored data for newform 231.2.be.a, downloaded from the LMFDB on 25 April 2024. {"label": "231.2.be.a", "space_label": "231.2.be", "level": 231, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 2061617856743, "dim": 224, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 30, "char_parity": 1, "char_degree": 8, "char_conductor": 231, "char_orbit_label": "be", "char_is_real": false, "Nk2": 924, "analytic_conductor": 1.8445442866915769, "level_radical": 231, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [231, 30, [155, 199, 211], [15, 10, 3]], "inner_twist_count": 8, "level_primes": [3, 7, 11], "conrey_indexes": [2, 74, 95, 107, 116, 128, 149, 200], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 28, "sato_tate_group": "1.2.3.c30", "trace_display": [0, -3, 0, -20], "traces": [224, 0, -3, 18, 0, -20, -20, 0, -9, 0, 0, -16, -40, 0, 12, 34, 0, -5, -10, 0, 0, -76, 0, -25, -18, 0, 6, 10, 0, -35, 0, 0, -8, -96, 0, -48, -10, 0, -45, -120, 0, 34, 0, 0, -24, -50, 0, 14, -56, 0, -45, -10, 0, 0, 48, 0, 60, 44, 0, -47, -50, 0, 60, -72, 0, 77, -80, 0, 78, 36, 0, 55, -70, 0, -11, 0, 0, 36, -90, 0, 23, -6, 0, 125, 160, 0, 0, 86, 0, 30, -128, 0, -38, -210, 0, 135, 40, 0, 80, -88, 0, 4, 90, 0, -55, 200, 0, -29, 0, 0, -128, 130, 0, -12, -42, 0, 185, -200, 0, 0, -108, 0, 20, 50, 0, 109, -40, 0, 10, 34, 0, -282, 36, 0, -77, 146, 0, 235, 240, 0, 94, 0, 0, 64, 190, 0, -49, 120, 0, 185, 40, 0, 0, 274, 0, 45, 102, 0, -15, 300, 0, -510, 10, 0, -68, 148, 0, 37, -208, 0, 205, 130, 0, 10, 0, 0, 46, 100, 0, -251, -36, 0, -320, 290, 0, 0, -28, 0, -165, 48, 0, 54, 160, 0, 210, -252, 0, 247, 32, 0, -19, -84, 0, -340, 110, 0, 1, 0, 0, -404, -240, 0, -206, 52, 0, -290, -490, 0, 0, -202, 0, -235, -44, 0, -70, -30, 0, 30, 38, 0, -197, -256, 0, -215, 10, 0, -180, -330, 0, -131, 0, 0, -58, -200, 0, 364, -64, 0, -95, -400, 0, 0, -420, 0, -245, -194, 0, 132, -20, 0, -160, 76, 0, -91, 424, 0, -72, 152, 0, -75, -250, 0, 125, 0, 0, -248, -120, 0, 298, -188, 0, 0, 30, 0, 0, 160, 0, 650, 22, 0, 9, -390, 0, 665, 64, 0, 219, -56, 0, 382, 162, 0, 115, -320, 0, -123, 0, 0, 396, -230, 0, 164, -86, 0, 365, 1140, 0, 0, 72, 0, 440, -24, 0, -59, -250, 0, 175, -84, 0, 542, -60, 0, 55, 290, 0, 200, 240, 0, -107, 0, 0, 284, 190, 0, -19, -78, 0, 485, -120, 0, 0, -112, 0, 315, -22, 0, 115, 380, 0, 100, -78, 0, -332, 760, 0, -115, 386, 0, 195, -160, 0, 18, 0, 0, 122, 490, 0, -165, -176, 0, 365, -70, 0, 0, 472, 0, 150, 456, 0, 36, -220, 0, -790, 206, 0, -83, 236, 0, 69, -656, 0, 575, 150, 0, 110, 0, 0, 120, 530, 0, -337, 272, 0, -760, 340, 0, 0, 88, 0, -795, -52, 0, 107, 200, 0, -270, 154, 0, 341, 392, 0, -216, -612, 0, -310, -90, 0, -82, 0, 0, -506, -1140, 0, -470, -6, 0, -270, -520, 0, 0, -198, 0, -550, -80, 0, -152, -30, 0, -75, 14, 0, -525, -528, 0, -144, -446, 0, -690, -50, 0, 41, 0, 0, -552, -200, 0, 232, 174, 0, -325, -350, 0, 0, -732, 0, -450, -46, 0, -110, -210, 0, -555, 278, 0, -75, -472, 0, 240, 24, 0, -295, -440, 0, 94, 0, 0, -104, -360, 0, 84, 26, 0, -90, -150, 0, 0, 536, 0, 780, -234, 0, -196, -430, 0, 690, -124, 0, 233, -380, 0, 88, 398, 0, -15, -570, 0, -83, 0, 0, 652, 30, 0, 73, 46, 0, 485, 640, 0, 0, 96, 0, 260, -84, 0, 57, -550, 0, 650, 100, 0, 386, -496, 0, 115, 562, 0, 100, 1060, 0, -57, 0, 0, -516, 900, 0, 147, 32, 0, 505, 0, 0, 0, -282, 0, 310, 420, 0, 123, 520, 0, 110, -186, 0, -240, 680, 0, -91, 188, 0, 785, 100, 0, -62, 0, 0, -64, 780, 0, -328, 124, 0, 510, 350, 0, 0, 606, 0, 70, 70, 0, 158, 1800, 0, -1190, -140, 0, 108, 564, 0, -75, -188, 0, 375, 580, 0, 444, 0, 0, 204, 710, 0, -527, -32, 0, -540, 180, 0, 0, 104, 0, -615, -24, 0, -21, 500, 0, 260, 66, 0, 205, -144, 0, -176, -172, 0, -550, 270, 0, 79, 0, 0, -838, -840, 0, -474, -150, 0, 100, -770, 0, 0, -198, 0, -750, -512, 0, 128, 70, 0, -230, 258, 0, -585, -1088, 0, -220, -106, 0, 70, -1580, 0, 82, 0, 0, -298, -180, 0, 884, 226, 0, -235, -830, 0, 0, -248, 0, -480, -92, 0, 10, -400, 0, -305, 26, 0, -56, 72, 0, 210, -174, 0, -110, -1010, 0, 19, 0, 0, -276, -240, 0, 430, -180, 0, -90, -460, 0, 0, -244, 0, 1670, 362, 0, 183, -660, 0, 1515, -132, 0, -41, 228, 0, 522, 382, 0, -120, -530, 0, -14, 0, 0, 728, -430, 0, 653, -282, 0, 495, 1160, 0, 0, 254, 0, 420, -238, 0, -81, -630, 0, 535, -1024, 0, 652, -188, 0, 271, 686, 0, 510, 1360, 0, -315, 0, 0, 992, 540, 0, 178, -198, 0, 760, -360, 0, 0, -278, 0, 430, 158, 0, 83, 660, 0, 435, 162, 0, -348, 164, 0, 14, 306, 0, 345, 1320, 0, 14, 0, 0, 528, 620, 0, -717, 724, 0, 395, 310, 0, 0, 218, 0, 365, 516, 0, 223, -340, 0, -1060, -72, 0, -73, 240, 0, -88, -1232, 0, 550, 220, 0, 122, 0, 0, 286, 70, 0, -543, -204, 0, -1790, 260, 0, 0, 128, 0, -1100, 152, 0, -78, 550, 0, -330, -598, 0, 131, 680, 0, -201, -472, 0, -790, 630, 0, 169, 0, 0, 70, -1760, 0, -499, -90, 0, -860, -1660, 0, 0, -170, 0, -840, 104, 0, -562, 30, 0, -530, 264, 0, -596, -728, 0, -278, -560, 0, -1520, -720, 0, -85, 0, 0, -1024, -460, 0, 548, -312, 0, -655, -220, 0, 0, 512, 0, -590, -404, 0, -556, -1170, 0, -505, -90, 0, 44, -216, 0, 56, -248, 0, -615, -800, 0, -344, 0, 0, -102, -700, 0, 376, -506, 0, -595, -310, 0, 0, -308, 0, 800, -20, 0, 72, -430, 0, 1110, 1100, 0, 41, -428, 0, 26, 924, 0, -120, -350, 0, 21, 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": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 7, 3, 1, 3, 0], [1, 1, 11, 4, -1, 10, 0], [1, 1, 21, 8, -1, 6, 0], [1, 1, 33, 6, 1, 10, 0], [1, 1, 77, 15, -1, 30, 0], [1, 1, 231, 31, 1, 30, 0]], "char_orbit_index": 31, "prim_orbit_index": 31, "minimal_twist": "231.2.be.a", "char_is_minimal": true, "conrey_index": 2, "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}