# Stored data for newform 1260.2.cu.d, downloaded from the LMFDB on 05 May 2024.
{"label": "1260.2.cu.d", "space_label": "1260.2.cu", "level": 1260, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13515746717992172, "dim": 28, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [6123375504, -32719352256, 19306964364, 208230670896, 16608122653, -663066620337, 445079499030, 439702602489, -319345864842, -198864074583, 148343136338, 57405168063, -33699581148, -11284532847, 5234329401, 1699096347, -516204735, -182746953, 35467908, 14978160, -1291212, -819537, 18503, 32169, 1419, -648, -45, 9, 1]], [13, [1016064, -31667328, 237966960, 2836833384, 7604462041, -3231214008, -15044948520, 3515652936, 19392600771, -10048272597, -7873739022, 5753057439, 2244099774, -2301651711, -195994650, 516179217, -18793885, -83984577, 14520288, 6965757, -1926420, -367875, 183264, -9969, -4131, 432, 84, -18, 1]]], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 63, "char_orbit_label": "cu", "char_is_real": false, "Nk2": 5040, "analytic_conductor": 10.06115065468133, "level_radical": 210, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [1260, 6, [631, 281, 757, 1081], [6, 1, 6, 1]], "inner_twist_count": 2, "level_primes": [2, 3, 5, 7], "conrey_indexes": [101, 761], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 14, "sato_tate_group": "1.2.3.c6", "trace_display": [0, -1, -14, 5], "traces": [28, 0, -1, 0, -14, 0, 5, 0, -9, 0, -9, 0, 18, 0, -1, 0, -3, 0, -6, 0, 1, 0, 3, 0, -14, 0, -1, 0, -18, 0, 0, 0, 7, 0, -7, 0, 7, 0, 9, 0, 18, 0, -17, 0, 0, 0, 42, 0, 1, 0, -2, 0, 24, 0, 0, 0, -33, 0, 42, 0, 0, 0, 26, 0, 0, 0, 14, 0, 10, 0, 0, 0, -12, 0, 2, 0, 45, 0, -16, 0, 11, 0, 18, 0, -3, 0, -56, 0, -6, 0, -21, 0, 7, 0, 0, 0, -18, 0, 9, 0, -18, 0, -57, 0, 16, 0, 84, 0, 19, 0, 23, 0, 27, 0, -3, 0, -61, 0, -30, 0, 17, 0, -49, 0, 28, 0, 26, 0, 4, 0, -18, 0, 39, 0, -13, 0, 24, 0, 9, 0, 48, 0, 9, 0, 18, 0, -125, 0, -57, 0, -44, 0, -17, 0, 12, 0, 0, 0, -61, 0, 45, 0, -19, 0, 10, 0, 27, 0, -26, 0, 68, 0, -42, 0, 2, 0, 50, 0, 30, 0, 0, 0, 3, 0, -14, 0, 0, 0, 30, 0, 0, 0, 136, 0, -12, 0, 0, 0, -81, 0, 33, 0, -27, 0, -36, 0, 31, 0, 6, 0, -62, 0, -81, 0, -17, 0, -39, 0, -38, 0, 0, 0, -9, 0, 9, 0, -3, 0, -69, 0, 101, 0, 24, 0, -21, 0, -31, 0, -18, 0, 21, 0, -11, 0, -8, 0, -15, 0, -130, 0, 0, 0, 114, 0, -41, 0, -24, 0, 95, 0, -110, 0, 36, 0, -24, 0, -12, 0, -48, 0, 99, 0, -97, 0, 9, 0, -7, 0, -121, 0, 39, 0, 0, 0, 18, 0, 21, 0, 19, 0, 61, 0, 51, 0, -21, 0, 190, 0, 24, 0, -55, 0, 54, 0, -21, 0, 0, 0, -51, 0, 48, 0, 0, 0, -16, 0, 0, 0, 108, 0, -28, 0, 0, 0, -18, 0, 2, 0, -75, 0, -68, 0, 14, 0, -7, 0, 19, 0, -134, 0, -72, 0, 68, 0, -8, 0, 0, 0, -15, 0, -82, 0, -48, 0, -30, 0, 99, 0, -45, 0, -50, 0, 87, 0, 12, 0, 12, 0, -17, 0, -60, 0, 20, 0, -1, 0, 78, 0, 106, 0, -77, 0, -15, 0, -24, 0, -82, 0, 18, 0, 96, 0, 77, 0, 8, 0, 30, 0, -208, 0, -57, 0, -42, 0, -19, 0, -90, 0, 0, 0, -36, 0, 117, 0, 18, 0, 182, 0, -63, 0, -61, 0, 262, 0, 6, 0, -162, 0, 198, 0, -12, 0, 0, 0, 31, 0, 72, 0, 0, 0, 79, 0, 0, 0, 12, 0, -91, 0, 0, 0, -30, 0, 1, 0, 66, 0, -236, 0, -19, 0, 126, 0, -100, 0, -23, 0, -57, 0, 22, 0, 35, 0, 0, 0, 6, 0, -5, 0, -27, 0, -63, 0, 60, 0, 18, 0, -107, 0, 133, 0, 81, 0, 105, 0, -36, 0, -36, 0, 19, 0, -234, 0, -144, 0, 36, 0, -95, 0, -36, 0, 138, 0, -115, 0, 57, 0, -72, 0, 149, 0, -54, 0, -24, 0, -17, 0, 21, 0, -73, 0, -10, 0, -3, 0, 0, 0, 94, 0, 57, 0, 74, 0, 241, 0, 19, 0, -76, 0, 283, 0, 72, 0, -86, 0, -16, 0, -6, 0, 0, 0, -37, 0, 54, 0, 0, 0, 113, 0, 0, 0, 284, 0, 3, 0, 0, 0, -30, 0, 108, 0, -129, 0, 174, 0, 59, 0, -108, 0, -84, 0, -144, 0, -36, 0, 21, 0, 7, 0, 0, 0, 45, 0, -153, 0, 17, 0, -120, 0, 51, 0, 129, 0, -70, 0, 23, 0, 135, 0, 261, 0, -175, 0, 27, 0, -14, 0, -27, 0, -222, 0, 188, 0, -103, 0, -13, 0, 114, 0, -133, 0, 36, 0, -24, 0, -89, 0, -33, 0, -3, 0, -326, 0, -276, 0, -18, 0, 171, 0, 9, 0, 0, 0, -38, 0, -9, 0, 87, 0, 178, 0, 33, 0, -59, 0, 14, 0, 66, 0, -114, 0, 65, 0, -6, 0, 0, 0, 58, 0, 60, 0, 0, 0, 301, 0, 0, 0, 18, 0, 1, 0, 0, 0, -288, 0, -15, 0, 129, 0, -38, 0, -34, 0, 78, 0, 9, 0, -156, 0, -90, 0, -39, 0, 64, 0, 0, 0, -114, 0, 81, 0, 30, 0, -6, 0, 40, 0, 120, 0, -151, 0, 62, 0, -60, 0, 57, 0, -11, 0, -237, 0, -11, 0, -42, 0, 88, 0, 250, 0, -79, 0, 18, 0, 59, 0, -14, 0, -33, 0, 114, 0, 248, 0, -12, 0, -12, 0, -117, 0, -30, 0, -15, 0, -133, 0, -90, 0, 0, 0, 104, 0, -54, 0, 156, 0, 80, 0, -18, 0, -108, 0, 347, 0, 198, 0, -36, 0, 23, 0, -84, 0, 0, 0, -109, 0, 38, 0, 0, 0, 234, 0, 0, 0, 302, 0, -17, 0, 0, 0, -120, 0, 123, 0, -90, 0, -54, 0, -54, 0, 69, 0, -58, 0, -173, 0, -26, 0, 52, 0, -57, 0, 0, 0, 75, 0, -73, 0, -3, 0, -45, 0, -49, 0, -6, 0, 21, 0, 87, 0, -240, 0, 327, 0, -141, 0, 5, 0, 101, 0, -107, 0, -102, 0, 196, 0, -58, 0, -87, 0, 241, 0, -65, 0, -108, 0, -30, 0, 37, 0, -63, 0, -84, 0, -263, 0, -18, 0, -194, 0, -59, 0, 6, 0, 0, 0, -9, 0, -66, 0, 34, 0, 324, 0, 45, 0, 7, 0, 227, 0, -78, 0, -366, 0, 156, 0, -15, 0, 0, 0, -202, 0, 42, 0, 0, 0, 6, 0, 0, 0, 252, 0, -51, 0, 0, 0, -60, 0, -46, 0, -108, 0, -236, 0, -91, 0, -68, 0, -46, 0, -188, 0, -51, 0, 69, 0, 3, 0, 0, 0, -84, 0, -94, 0, -102, 0, -15, 0, 247, 0, 60, 0, -209, 0, -67, 0, 81, 0, 207, 0, 100, 0, 0, 0, 72, 0, -24, 0, 222, 0, 308, 0, 67, 0, 18, 0, 54, 0, -111, 0, 132, 0, 186, 0, 326, 0, 18, 0, 141, 0, -141, 0, -222, 0, -142, 0, 70, 0, -105, 0, 0, 0, 126, 0, -72, 0, 6, 0, 166, 0, 24, 0, 5, 0, 154, 0, 124, 0, -190, 0, 111, 0, -117, 0, 0, 0, 72, 0, 204, 0, 0, 0, 145, 0, 0, 0, 34, 0, -168, 0, 0, 0, -351, 0, -44, 0, 36, 0, -76, 0, -3, 0, 24, 0, -178, 0, -35, 0, -45, 0, 30, 0, -16, 0, 0, 0, -21, 0, -426, 0, -96, 0, -210, 0, 8, 0, 9, 0, -137, 0, 148, 0, -168, 0, 174, 0, -9, 0, -177, 0, 143, 0, -161, 0, -306, 0, 6, 0, -248, 0, 45, 0, 142, 0, -264, 0, 69, 0, -75, 0, 273, 0, -3, 0, 18, 0, -28, 0, 12, 0, -45, 0, 174, 0, -36, 0, 0, 0, 195, 0, 231, 0, -47, 0, 310, 0, -21, 0, -159, 0, 216, 0, 216, 0, -259, 0, 65, 0, -60, 0, 0, 0, -153, 0, -174, 0, 0, 0, -162, 0, 0, 0, -2, 0, -75, 0, 0, 0, -309, 0, 29, 0, 135, 0, -448, 0, -83, 0, 24, 0, -156, 0, -161, 0, -21, 0, 7, 0, 192, 0, 0, 0, -147, 0, -98, 0, -15, 0, 12, 0, 243, 0, -237, 0, -72, 0, 59, 0, 462, 0, 285, 0, 103, 0, 12, 0, 0, 0, -331, 0, 24, 0, 234, 0, -80, 0, -57, 0, 42, 0, -158, 0, -324, 0, -54, 0, 43, 0, 120, 0, 147, 0, -137, 0, 96, 0, -24, 0, 40, 0, 453, 0, 0, 0, 203, 0, -37, 0, 164, 0, 210, 0, 87, 0, -182, 0, 94, 0, 66, 0, -252, 0, 61, 0, 108, 0, 0, 0, 83, 0, 60, 0, 0, 0, 230, 0, 0, 0, 394, 0, -62, 0, 0, 0, -306, 0, 36, 0, 96, 0, 186, 0, -232, 0, -93, 0, -48, 0, -157, 0, 171, 0, 221, 0, 142, 0, 0, 0, -225, 0, -179, 0, -18, 0, -177, 0, 26, 0, 225, 0, -171, 0, 145, 0, -129, 0, -9, 0, -225, 0, 81, 0, 136, 0, -354, 0, 14, 0, 162, 0, -66, 0, -117, 0, 411, 0, 41, 0, -54, 0, 345, 0, 246, 0, -129, 0, -39, 0, -285, 0, 42, 0, -258, 0, 19, 0, -12, 0, 0, 0, -136, 0, 108, 0, -101, 0, 15, 0, -249, 0, -128, 0, 330, 0, -432, 0, 42, 0, -3, 0, 39, 0, 0, 0, -334, 0, -38, 0, 0, 0, 130, 0, 0, 0, 214, 0, -44, 0, 0, 0, -345, 0, -54, 0, 57, 0, -102, 0, -206, 0, 153, 0, -68, 0, -297, 0, -21, 0, 11, 0, 340, 0, 0, 0, -153, 0, -35, 0, 111, 0, 84, 0, 158, 0, 9, 0, -12, 0, -19, 0, -306, 0, 120, 0, 179, 0, -16, 0, 81, 0, -493, 0, -60, 0, 252, 0, -45, 0, 6, 0, 162, 0, -145, 0, 372, 0, 21, 0, 119, 0, -120, 0, 381, 0, -145, 0, 141, 0, -75, 0, -440, 0, -12, 0, 0, 0, 144, 0, -201, 0, 79, 0, 480, 0, 150, 0, -24, 0, 453, 0, -72, 0, -27, 0, -141, 0, -15, 0, 0, 0, -333, 0, -24, 0, 0, 0, -10, 0, 0, 0, 320, 0, -6, 0, 0, 0, -129, 0, -238, 0, -9, 0, 274, 0, 79, 0, -54, 0, -269, 0, -146, 0, 90, 0, 171, 0, 2, 0, 0, 0, 156, 0, -228, 0, -36, 0, -54, 0, 80, 0, -123, 0, -151, 0, -141, 0, 18, 0, 420, 0, -214, 0, 84, 0, 204, 0, -34, 0, 330, 0, 312, 0, -176, 0, 9, 0, 96, 0, -50, 0, -159, 0, 27, 0, 277, 0, 34, 0, 54, 0, -468, 0, 93, 0, -202, 0, 104, 0, -291, 0, 0, 0, 64, 0, 72, 0, -7, 0, 308, 0, 201, 0, -104, 0, 389, 0, -38, 0, -210, 0, 69, 0, -9, 0, 0, 0, 94, 0, 168, 0, 0, 0, -25, 0, 0, 0, 144, 0, -192, 0, 0, 0, -300, 0, 122, 0, 11, 0, -378, 0, 31, 0, -105, 0, -28, 0, -2, 0, -201, 0, 81, 0, 383, 0, 0, 0, -30, 0, -87, 0, -132, 0, 201, 0, 143, 0, 15, 0, -152, 0, -80, 0, -222, 0, 531, 0, 26, 0, 27, 0, 31, 0, -463, 0, 258, 0, 96, 0, -328, 0, 165, 0, 180, 0, -140, 0, 30, 0, 255, 0, 370, 0, -75, 0, 81, 0, 57, 0, -246, 0, -170, 0, -283, 0, -30, 0, 0, 0, 664, 0, -60, 0, 31, 0, 322, 0, -50, 0, -156, 0, 306, 0, 192, 0, -251, 0, -15, 0, 120, 0, 0, 0, 54, 0, -54, 0, 0, 0, 46, 0, 0, 0, 176, 0, 43, 0, 0, 0, -738, 0, -47, 0, -324, 0, -120, 0, -122, 0, -159, 0, -135, 0, -409, 0, 102, 0, 60, 0, -122, 0, 0, 0, -297, 0, -339, 0, 20, 0, -231, 0, 50, 0, 255, 0, -191, 0, -1, 0, 66, 0, 303, 0, -197, 0, 60, 0, -39, 0, -106, 0, 228, 0, 276, 0, -128, 0, -53, 0, 324, 0, -345, 0, 171, 0, 207, 0, -17, 0, 189, 0, 33, 0, -383, 0, 300, 0, -15, 0, 410, 0, 174, 0, 0, 0, -349, 0, -21, 0, -96, 0, 463, 0, -27, 0, -64, 0, 122, 0, 552, 0, -500, 0, 7, 0, -168, 0, 0, 0, 226, 0, 222, 0, 0, 0, 202, 0, 0, 0, 336, 0, 289, 0, 0, 0, -405, 0, -70, 0, 303, 0, -504, 0, -290, 0, 153, 0, 8, 0, -173, 0, 294, 0, -375, 0, 404, 0, 0, 0, -3, 0, -61, 0, 90, 0, 261, 0, 161, 0, -75, 0, -181, 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, 63, 9, 1, 6, 0]], "char_orbit_index": 73, "prim_orbit_index": 9, "minimal_twist": "1260.2.bh.d", "char_is_minimal": true, "conrey_index": 101, "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}