# Stored data for newform 1183.2.e.j, downloaded from the LMFDB on 21 February 2026.
{"Nk2": 4732, "analytic_conductor": 9.44630255911747, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 7, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 3, "char_parity": 1, "char_values": [1183, 3, [339, 1016], [1, 3]], "cm_discs": [], "conrey_index": 170, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[2, [1, 0, 36, 0, 1124, 0, 5798, 0, 22404, 0, 27564, 0, 23099, 0, 11868, 0, 4420, 0, 1014, 0, 168, 0, 16, 0, 1]], [3, [49, 133, 333, 300, 355, 147, 233, 75, 69, 17, 14, 3, 1]]], "hecke_orbit": 10, "hecke_orbit_code": 40532671557797023, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0], [1, 1, 13, 2, 1, 2, 0], [1, 1, 91, 18, 1, 6, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "1183.2.e.j", "level": 1183, "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": [7, 13], "level_radical": 91, "minimal_twist": "91.2.k.b", "prim_orbit_index": 3, "related_objects": [], "relative_dim": 12, "rm_discs": [], "sato_tate_group": "1.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1183.2.e", "trace_display": [0, -6, 0, 0], "traces": [24, 0, -6, -8, 0, 0, 0, 0, -2, -24, 0, 2, 0, 8, 0, -16, -34, 0, 0, 0, 0, 60, -6, 0, 10, 0, 24, 0, 4, -22, 0, 0, 0, 0, -24, -52, 0, -38, 0, -2, 0, 32, 44, 0, 0, 0, 0, -76, 12, 0, -8, 0, -16, 0, 60, 54, 0, 0, 0, 0, 10, 164, 0, -4, 0, -68, 0, -22, 28, 0, 0, 0, 0, -66, -2, 0, 38, 0, -70, 0, 28, -10, 0, 0, 0, 0, 20, 28, 0, 0, 0, -132, 0, 2, -4, 0, 0, 0, 0, 48, -38, 0, 30, 0, 118, 0, -10, -6, 0, 0, 0, 0, 20, -56, 0, 42, 0, 160, 0, -84, 8, 0, 0, 0, 0, -56, -64, 0, -48, 0, -64, 0, 34, -168, 0, 0, 0, 0, 20, 64, 0, -110, 0, 106, 0, 136, 24, 0, 0, 0, 0, -2, -8, 0, 4, 0, -92, 0, -56, 56, 0, 0, 0, 0, -18, -20, 0, 118, 0, -112, 0, -42, -50, 0, 0, 0, 0, 82, -20, 0, 60, 0, -28, 0, -66, 26, 0, 0, 0, 0, 46, -148, 0, -54, 0, 268, 0, -40, -98, 0, 0, 0, 0, 48, -78, 0, 28, 0, 248, 0, -184, -114, 0, 0, 0, 0, -88, 64, 0, -16, 0, 30, 0, 100, 24, 0, 0, 0, 0, -4, 182, 0, 22, 0, 28, 0, 0, 158, 0, 0, 0, 0, -2, 52, 0, -144, 0, -220, 0, 86, 236, 0, 0, 0, 0, 68, -34, 0, 0, 0, -104, 0, 48, 76, 0, 0, 0, 0, 26, 14, 0, 80, 0, -252, 0, -104, 156, 0, 0, 0, 0, 30, -48, 0, -8, 0, 14, 0, 10, -20, 0, 0, 0, 0, 240, -108, 0, -72, 0, 108, 0, 8, -52, 0, 0, 0, 0, -166, 16, 0, -144, 0, -22, 0, -22, -120, 0, 0, 0, 0, -264, 148, 0, -56, 0, -8, 0, -80, -32, 0, 0, 0, 0, 138, 116, 0, 64, 0, -232, 0, -14, 36, 0, 0, 0, 0, -52, -32, 0, 142, 0, -122, 0, 2, -106, 0, 0, 0, 0, 126, 70, 0, 204, 0, -104, 0, -60, -86, 0, 0, 0, 0, 44, -52, 0, -30, 0, 322, 0, -74, -118, 0, 0, 0, 0, -104, -32, 0, 26, 0, 96, 0, 192, -64, 0, 0, 0, 0, -132, -140, 0, 58, 0, -40, 0, 170, 144, 0, 0, 0, 0, -412, 164, 0, -80, 0, 78, 0, 44, 156, 0, 0, 0, 0, -114, 72, 0, -80, 0, -42, 0, 58, -80, 0, 0, 0, 0, 42, -6, 0, -8, 0, -92, 0, 98, 176, 0, 0, 0, 0, 118, 70, 0, 200, 0, -152, 0, -44, 12, 0, 0, 0, 0, 128, 20, 0, -90, 0, 72, 0, -98, -116, 0, 0, 0, 0, 20, 8, 0, -16, 0, 148, 0, -188, -22, 0, 0, 0, 0, 72, -392, 0, -102, 0, -58, 0, 62, -316, 0, 0, 0, 0, 264, 16, 0, -86, 0, 100, 0, 284, -102, 0, 0, 0, 0, 184, -24, 0, -160, 0, -40, 0, -154, 152, 0, 0, 0, 0, 58, -76, 0, 248, 0, -124, 0, 194, -186, 0, 0, 0, 0, 88, 32, 0, 128, 0, 132, 0, -94, 54, 0, 0, 0, 0, 96, -130, 0, 138, 0, 198, 0, -156, -26, 0, 0, 0, 0, -72, -120, 0, 70, 0, 136, 0, 164, -112, 0, 0, 0, 0, -146, -92, 0, -188, 0, 78, 0, 56, 188, 0, 0, 0, 0, -20, 242, 0, -68, 0, 138, 0, -96, 360, 0, 0, 0, 0, -84, 248, 0, -116, 0, 102, 0, -4, -8, 0, 0, 0, 0, -238, 130, 0, -96, 0, 4, 0, -218, 114, 0, 0, 0, 0, 60, 206, 0, -88, 0, -128, 0, -30, 4, 0, 0, 0, 0, -30, -84, 0, -96, 0, -54, 0, -18, 164, 0, 0, 0, 0, 80, -92, 0, -12, 0, 132, 0, -192, 48, 0, 0, 0, 0, 66, 0, 0, 92, 0, -108, 0, 156, -196, 0, 0, 0, 0, -424, -370, 0, 150, 0, -64, 0, -148, -112, 0, 0, 0, 0, -90, -36, 0, 8, 0, -72, 0, 20, 16, 0, 0, 0, 0, -80, 50, 0, -92, 0, -50, 0, -54, -212, 0, 0, 0, 0, 4, -154, 0, -208, 0, 52, 0, 6, 42, 0, 0, 0, 0, 108, -126, 0, -48, 0, 106, 0, -10, -68, 0, 0, 0, 0, 56, -28, 0, 144, 0, -12, 0, 116, 84, 0, 0, 0, 0, -72, 276, 0, 80, 0, 52, 0, -110, 40, 0, 0, 0, 0, 548, 114, 0, 186, 0, -30, 0, 384, -40, 0, 0, 0, 0, -58, -24, 0, -468, 0, -72, 0, 46, 8, 0, 0, 0, 0, 48, 46, 0, 100, 0, 76, 0, 126, 80, 0, 0, 0, 0, -62, 142, 0, 268, 0, -336, 0, 166, -104, 0, 0, 0, 0, -22, 54, 0, -74, 0, -148, 0, 192, -10, 0, 0, 0, 0, -4, 190, 0, 112, 0, -172, 0, 64, 78, 0, 0, 0, 0, -92, 72, 0, 128, 0, -170, 0, -172, -432, 0, 0, 0, 0, 120, -236, 0, -58, 0, -166, 0, 68, 30, 0, 0, 0, 0, -44, 200, 0, 132, 0, -34, 0, -36, -12, 0, 0, 0, 0, -14, -92, 0, -68, 0, -32, 0, -52, 18, 0, 0, 0, 0, 34, -216, 0, -36, 0, 76, 0, 50, -88, 0, 0, 0, 0, -50, 22, 0, 360, 0, 22, 0, 70, -126, 0, 0, 0, 0, -496, -90, 0, -158, 0, 32, 0, 204, -56, 0, 0, 0, 0, 160, -44, 0, 118, 0, 156, 0, 90, 244, 0, 0, 0, 0, -300, 150, 0, -92, 0, 140, 0, -460, 174, 0, 0, 0, 0, -226, -4, 0, 492, 0, 82, 0, 124, 100, 0, 0, 0, 0, 158, 104, 0, -16, 0, 188, 0, -106, -44, 0, 0, 0, 0, -40, -16, 0, -504, 0, -196, 0, 48, 62, 0, 0, 0, 0, -44, 228, 0, -146, 0, -8, 0, -212, 300, 0, 0, 0, 0, 320, 232, 0, -34, 0, 180, 0, -448, 188, 0, 0, 0, 0, 270, -256, 0, -292, 0, -112, 0, -188, 100, 0, 0, 0, 0, 300, -162, 0, 64, 0, -126, 0, 72, -188, 0, 0, 0, 0, 316, -76, 0, 424, 0, 12, 0, -192, -180, 0, 0, 0, 0, 116, -304, 0, 96, 0, 28, 0, -106, -152, 0, 0, 0, 0, -32, -166, 0, 268, 0, 480, 0, -114, 14, 0, 0, 0, 0, -122, 122, 0, 6, 0, -186, 0, 240, 52, 0, 0, 0, 0, -304, 184, 0, 22, 0, -348, 0, 112, -66, 0, 0, 0, 0, 168, 120, 0, 10, 0, 296, 0, 18, 416, 0, 0, 0, 0, 100, -46, 0, -62, 0, -174, 0, 372, -180, 0, 0, 0, 0, 224, 144, 0, -256, 0, 240, 0, 270, 68, 0, 0, 0, 0, -154, 168, 0, -446, 0, 228, 0, -34, 334, 0, 0, 0, 0, -204, -128, 0, -428, 0, 144, 0, -92, 74, 0, 0, 0, 0, -234, 214, 0, -62, 0, -284, 0, 208, 84, 0, 0, 0, 0, 88, -126, 0, -226, 0, -252, 0, -388, -106, 0, 0, 0, 0, 78, -192, 0, -6, 0, -212, 0, -374, -216, 0, 0, 0, 0, 180, 90, 0, 50, 0, -70, 0, -768, -448, 0, 0, 0, 0, -268, -504, 0, -164, 0, 88, 0, -174, -232, 0, 0, 0, 0, 208, -150, 0, 178, 0, -12, 0, 36, -66, 0, 0, 0, 0, -44, 12, 0, -500, 0, 480, 0, 50, -146, 0, 0, 0, 0, 102, 78, 0, -36, 0, -308, 0, -46, -86, 0, 0, 0, 0, 216, -70, 0, 140, 0, 396, 0, 548, 74, 0, 0, 0, 0, -236, 480, 0, 326, 0, 242, 0, 90, 692, 0, 0, 0, 0, 260, -450, 0, 136, 0, 100, 0, -196, 78, 0, 0, 0, 0, -20, -412, 0, 196, 0, 364, 0, 16, 72, 0, 0, 0, 0, -68, -34, 0, -64, 0, 62, 0, 144, 200, 0, 0, 0, 0, -534, -92, 0, 532, 0, 244, 0, 266, 150, 0, 0, 0, 0, -388, 62, 0, 254, 0, -226, 0, 14, 26, 0, 0, 0, 0, 148, 456, 0, -42, 0, -588, 0, 136, 138, 0, 0, 0, 0, 188, 472, 0, 186, 0, -64, 0, -100, 88, 0, 0, 0, 0, -132, -150, 0, -102, 0, -134, 0, 128, -194, 0, 0, 0, 0, 232, 148, 0, 580, 0, 6, 0, 90, -368, 0, 0, 0, 0, 22, 26, 0, 176, 0, 138, 0, -282, -234, 0, 0, 0, 0, -24, 114, 0, -64, 0, -4, 0, -84, -350, 0, 0, 0, 0, -28, -148, 0, 58, 0, -178, 0, -134, 104, 0, 0, 0, 0, 8, 26, 0, -56, 0, -1056, 0, 180, 22, 0, 0, 0, 0, -128, 580, 0, 90, 0, -42, 0, 20, -308, 0, 0, 0, 0, 92, 196, 0, 162, 0, -44, 0, 256, -92, 0, 0, 0, 0, -102, -228, 0, 132, 0, 428, 0, -76, -324, 0, 0, 0, 0, -6, 60, 0, -404, 0, 376, 0, 142, 180, 0, 0, 0, 0, -218, -318, 0, -524, 0, 156, 0, 426, 68, 0, 0, 0, 0, 220, 246, 0, -418, 0, -702, 0, 444, 134, 0, 0, 0, 0, 100, -142, 0, -166, 0, -388, 0, 372, 110, 0, 0, 0, 0, 400, -76, 0, 174, 0, 326, 0, -214, 124, 0, 0, 0, 0, 356, -48, 0, -4, 0, -136, 0, 188, -208, 0, 0, 0, 0, -12, -400, 0, 480, 0, -28, 0, 14, -132, 0, 0, 0, 0, 186, -2, 0, -546, 0, 282, 0, 12, 192, 0, 0, 0, 0, -22, 10, 0, 220, 0, 520, 0, 128, -96, 0, 0, 0, 0, -270, 128, 0, 206, 0, -404, 0, 96, -162, 0, 0, 0, 0, -316, 174, 0, 2, 0, -84, 0, -560, 44, 0, 0, 0, 0, 84, 328, 0, -34, 0, 52, 0, 8, 432, 0, 0, 0, 0, -332, -144, 0, 84, 0, -66, 0, -168, 86, 0, 0, 0, 0, -132, -392, 0, -348, 0, 426, 0, -22, 220, 0, 0, 0, 0, -142, 390, 0, -306, 0, 4, 0, 42, 80, 0, 0, 0, 0, 76, 126, 0, -344, 0, 76, 0, 330, 176, 0, 0, 0, 0, -44, 12, 0, 180, 0, -106, 0, -136, 384, 0, 0, 0, 0, -500, -22, 0, -94, 0, -832, 0, -300, 160, 0, 0, 0, 0, 26, -144, 0, -154, 0, -108, 0, -182, -232, 0, 0, 0, 0, -40, -404, 0, 6, 0, -144, 0, -932, -582, 0, 0, 0, 0, -96, 28, 0, -180, 0, 310, 0, 292, -524, 0, 0, 0, 0, -36, 188, 0, 72, 0, 442, 0, -140, -544, 0, 0, 0, 0, -174, 68, 0, -16, 0, 368, 0, -202, -92, 0, 0, 0, 0, 44, 136, 0, 238, 0, -182, 0, 92, 28, 0, 0, 0, 0, -736, -20, 0, -50, 0, -120, 0, -156, 240, 0, 0, 0, 0, 188, -72, 0, 108, 0, 50, 0, 352, 20, 0, 0, 0, 0, 736, -388, 0, 260, 0, -40, 0, 308, 656, 0, 0, 0, 0, -170, -364, 0, 552, 0, 470, 0, -330, 496, 0, 0, 0, 0, 158, -76, 0, 178, 0, 332, 0, 326, 180, 0, 0, 0, 0, -34, 200, 0, 116, 0, 4, 0, -58, 148, 0, 0, 0, 0, -300, 182, 0, -62, 0, -190, 0, 154, 454, 0, 0, 0, 0, 476, 352, 0, 134, 0, -72, 0, 508, -146, 0, 0, 0, 0, 580, -476, 0, 20, 0, 132, 0, -430, -768, 0, 0, 0, 0, -28, -254, 0, 248, 0, -48, 0, 48, -366, 0, 0, 0, 0, 288, -240, 0, -532, 0, 308, 0, -134, -308, 0, 0, 0, 0, -64, -174, 0, -168, 0, -136, 0, -56, 100, 0, 0, 0, 0, -126, -138, 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}