# Stored data for newform 756.2.bf.c, downloaded from the LMFDB on 25 April 2024.
{"label": "756.2.bf.c", "space_label": "756.2.bf", "level": 756, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9009329592074996, "dim": 32, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [49787136, 0, -351663984, 0, 1753538193, 0, -3927006807, 0, 6114199957, 0, -5560966632, 0, 3593736841, 0, -1575683267, 0, 513546003, 0, -123357996, 0, 22713961, 0, -3131493, 0, 328426, 0, -24763, 0, 1362, 0, -47, 0, 1]], [11, [47251876, 5093634, -25958795, -2818023, 9542823, 1191408, -1941543, -249669, 288187, 36150, -25545, -2943, 1632, 147, -46, -3, 1]], [19, [5742272860416, 0, 1025319379158144, 0, 181581571682731440, 0, 266386158298010952, 0, 328307289711524785, 0, 77835270553310542, 0, 11811417665447186, 0, 1138618055159076, 0, 80330660173357, 0, 4157403557438, 0, 165355063384, 0, 4969877582, 0, 115014031, 0, 1963254, 0, 24749, 0, 202, 0, 1]]], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 28, "char_orbit_label": "bf", "char_is_real": false, "Nk2": 3024, "analytic_conductor": 6.036690392808797, "level_radical": 42, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [756, 6, [379, 29, 325], [3, 6, 5]], "inner_twist_count": 4, "level_primes": [2, 3, 7], "conrey_indexes": [271, 703], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 0, 0, 0], "traces": [32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 17, 0, -4, 0, 0, 0, -8, 0, 2, 0, 0, 14, -15, 0, -13, 0, 0, 0, -15, 0, 0, -6, 0, 4, 1, 0, -15, 0, 0, 0, 42, 0, -9, 4, 0, 14, 0, 0, -9, 0, 0, 0, -45, 0, 10, 16, 0, 0, 0, 0, -42, 0, 0, 0, 49, 0, -33, 0, 0, 36, 54, 0, 0, 0, 0, 0, 15, 0, -51, -20, 0, 16, -78, 0, -2, 0, 0, 0, 0, 0, -27, -24, 0, 0, 46, 0, 26, 0, 0, 0, -22, 0, -64, 30, 0, 16, -74, 0, -20, 0, 0, 0, -81, 0, 0, 16, 0, 26, -34, 0, -84, 0, 0, 0, 105, 0, -1, -22, 0, -12, 0, 0, 36, 0, 0, 0, -68, 0, 1, -40, 0, 6, 80, 0, 18, 0, 0, 0, 86, 0, 24, 0, 0, 12, 123, 0, 0, 0, 0, 0, 30, 0, -24, 48, 0, 0, -165, 0, 9, 0, 0, 0, 0, 0, 24, 60, 0, 0, 70, 0, -17, 0, 0, 0, -94, 0, 146, -72, 0, 34, -89, 0, 47, 0, 0, 0, -177, 0, 0, -22, 0, 8, -16, 0, 108, 0, 0, 0, 144, 0, 42, 32, 0, -68, 0, 0, 3, 0, 0, 0, -70, 0, -8, 0, 0, -24, 80, 0, 166, 0, 0, 0, 106, 0, 13, 0, 0, -24, 204, 0, 0, 0, 0, 0, 6, 0, 147, -128, 0, -72, -216, 0, 36, 0, 0, 0, 0, 0, -21, -72, 0, 0, 124, 0, 4, 0, 0, 0, -46, 0, 12, 90, 0, -32, -117, 0, -50, 0, 0, 0, -192, 0, 0, 56, 0, 4, -17, 0, 51, 0, 0, 0, 270, 0, -21, 16, 0, -48, 0, 0, -105, 0, 0, 0, -123, 0, 11, 32, 0, -78, 78, 0, -164, 0, 0, 0, 153, 0, -45, 0, 0, -84, 141, 0, 0, 0, 0, 0, 0, 0, -69, 272, 0, -80, -258, 0, -56, 0, 0, 0, 0, 0, 54, 24, 0, 0, 170, 0, -15, 0, 0, 0, -108, 0, -190, -168, 0, -100, -177, 0, 6, 0, 0, 0, -183, 0, 0, -150, 0, -52, -31, 0, -108, 0, 0, 0, 363, 0, -4, -48, 0, 8, 0, 0, 93, 0, 0, 0, -140, 0, 47, 62, 0, -48, 100, 0, -64, 0, 0, 0, 125, 0, 48, 0, 0, -114, 204, 0, 0, 0, 0, 0, 54, 0, -27, -216, 0, 0, -282, 0, 58, 0, 0, 0, 0, 0, 144, -60, 0, 0, 126, 0, 42, 0, 0, 0, -168, 0, 202, 180, 0, -88, -175, 0, 134, 0, 0, 0, -204, 0, 0, 180, 0, -22, -9, 0, 144, 0, 0, 0, 327, 0, 44, 20, 0, 164, 0, 0, 42, 0, 0, 0, -195, 0, -81, -88, 0, -36, 96, 0, 350, 0, 0, 0, 165, 0, 120, 0, 0, 36, 258, 0, 0, 0, 0, 0, 40, 0, 258, 184, 0, 12, -357, 0, -27, 0, 0, 0, 0, 0, -198, 168, 0, 0, 192, 0, -39, 0, 0, 0, -8, 0, 30, -156, 0, 8, -200, 0, -68, 0, 0, 0, -243, 0, 0, -14, 0, -12, -10, 0, 117, 0, 0, 0, 270, 0, -24, -72, 0, 76, 0, 0, -57, 0, 0, 0, -227, 0, -47, 6, 0, 168, 208, 0, -300, 0, 0, 0, 222, 0, -117, 0, 0, 108, 261, 0, 0, 0, 0, 0, 23, 0, -231, -348, 0, 104, -366, 0, -75, 0, 0, 0, 0, 0, -45, -144, 0, 0, 154, 0, -12, 0, 0, 0, -160, 0, -506, 288, 0, 160, -168, 0, 0, 0, 0, 0, -318, 0, 0, -8, 0, -20, -41, 0, -249, 0, 0, 0, 213, 0, -26, 102, 0, 32, 0, 0, 54, 0, 0, 0, -213, 0, 4, -24, 0, 102, 146, 0, -144, 0, 0, 0, 277, 0, 80, 0, 0, 216, 345, 0, 0, 0, 0, 0, 55, 0, -42, 384, 0, -4, -318, 0, 15, 0, 0, 0, 0, 0, 219, 0, 0, 0, 204, 0, -11, 0, 0, 0, -86, 0, 356, -264, 0, 108, -207, 0, 74, 0, 0, 0, -327, 0, 0, -254, 0, 16, -129, 0, 171, 0, 0, 0, 381, 0, 14, -60, 0, -132, 0, 0, -45, 0, 0, 0, -170, 0, 33, 132, 0, 216, 54, 0, 422, 0, 0, 0, 272, 0, -105, 0, 0, 54, 258, 0, 0, 0, 0, 0, 54, 0, 210, -416, 0, -40, -279, 0, -15, 0, 0, 0, 0, 0, -195, -24, 0, 0, 211, 0, -101, 0, 0, 0, -330, 0, 166, 252, 0, -16, -200, 0, -81, 0, 0, 0, -291, 0, 0, 244, 0, -84, -69, 0, -54, 0, 0, 0, 414, 0, -125, 14, 0, -112, 0, 0, -240, 0, 0, 0, -122, 0, -77, -228, 0, 72, -52, 0, -456, 0, 0, 0, 155, 0, -115, 0, 0, -204, 366, 0, 0, 0, 0, 0, 86, 0, -288, 336, 0, 8, -213, 0, -35, 0, 0, 0, 0, 0, -123, 336, 0, 0, 177, 0, 115, 0, 0, 0, -194, 0, -520, -360, 0, -122, -241, 0, -140, 0, 0, 0, -228, 0, 0, 32, 0, 16, -23, 0, -537, 0, 0, 0, 297, 0, -46, 64, 0, 104, 0, 0, 207, 0, 0, 0, -150, 0, 60, 18, 0, -48, 110, 0, -118, 0, 0, 0, 190, 0, 215, 0, 0, -162, 198, 0, 0, 0, 0, 0, 21, 0, -141, -520, 0, 40, -378, 0, 52, 0, 0, 0, 0, 0, 90, -264, 0, 0, 244, 0, -25, 0, 0, 0, 110, 0, 382, 396, 0, -152, -312, 0, 131, 0, 0, 0, -216, 0, 0, -12, 0, 42, -53, 0, 426, 0, 0, 0, 348, 0, 92, 102, 0, 196, 0, 0, 30, 0, 0, 0, -216, 0, 37, 144, 0, -6, 254, 0, 598, 0, 0, 0, 171, 0, -56, 0, 0, -48, 234, 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, 12, 2, 1, 2, 0], [1, 1, 21, 7, 1, 6, 0], [1, 1, 28, 6, 1, 6, 0]], "char_orbit_index": 32, "prim_orbit_index": 6, "minimal_twist": "756.2.bf.b", "char_is_minimal": true, "conrey_index": 271, "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}