# Stored data for newform 273.2.y.b, downloaded from the LMFDB on 25 April 2024. {"label": "273.2.y.b", "space_label": "273.2.y", "level": 273, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4505248928366865, "dim": 64, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [7225, 0, 1381845, 0, 239056184, 0, 4462331843, 0, 52672506167, 0, 383499973607, 0, 2002517535904, 0, 7198860548134, 0, 19171003716275, 0, 38829494986515, 0, 62019660932995, 0, 79932727406078, 0, 84875363641672, 0, 75377651356596, 0, 56695793379151, 0, 36455511496312, 0, 20190317494068, 0, 9684581726794, 0, 4040064579103, 0, 1469721086403, 0, 466986679456, 0, 129628056147, 0, 31405848771, 0, 6624520229, 0, 1211595988, 0, 190913074, 0, 25681983, 0, 2909665, 0, 272289, 0, 20406, 0, 1166, 0, 46, 0, 1]]], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 273, "char_orbit_label": "y", "char_is_real": false, "Nk2": 1092, "analytic_conductor": 2.1799159751809545, "level_radical": 273, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [273, 6, [92, 157, 106], [3, 1, 5]], "inner_twist_count": 4, "level_primes": [3, 7, 13], "conrey_indexes": [101, 173], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 32, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 0, 0, -12], "traces": [64, 0, 0, -28, 0, 0, -12, 0, 0, 0, 0, -6, 12, 0, -9, -8, 0, 36, 0, 0, 12, -18, 0, -24, 16, 0, 0, 6, 0, 44, -36, 0, -30, 24, 0, -4, -36, 0, -27, -54, 0, -24, -12, 0, -3, -24, 0, 54, 8, 0, -14, -6, 0, 9, -42, 0, 0, 0, 0, 9, 0, 0, 6, -28, 0, -9, 0, 0, 39, 84, 0, 0, 12, 0, 51, -18, 0, -11, 4, 0, 0, 0, 0, 30, -30, 0, 3, 60, 0, 0, 4, 0, -18, 0, 0, 24, 12, 0, 0, 188, 0, 0, 72, 0, -48, -12, 0, -150, -180, 0, -18, 18, 0, -41, 24, 0, 39, 0, 0, -14, -76, 0, -18, 108, 0, 15, -32, 0, -75, 102, 0, -63, 24, 0, -120, -78, 0, -30, 6, 0, -102, 44, 0, -54, -72, 0, 67, 0, 0, 120, 60, 0, 87, -108, 0, 95, 54, 0, 33, 78, 0, 81, 0, 0, 0, -210, 0, 182, 52, 0, 96, -28, 0, -54, 0, 0, 60, -96, 0, 69, 0, 0, -44, -18, 0, -84, -24, 0, 123, 0, 0, 0, 0, 0, -81, 12, 0, -68, 162, 0, 60, 126, 0, 44, 10, 0, 45, -246, 0, -30, 10, 0, 114, 126, 0, -90, 42, 0, 78, 6, 0, 147, 0, 0, -51, 258, 0, -138, 72, 0, -109, 72, 0, -69, 4, 0, -57, 12, 0, 0, -78, 0, 0, -90, 0, -22, -134, 0, 0, -30, 0, -171, 0, 0, -6, 68, 0, 45, -224, 0, 34, -48, 0, 0, 144, 0, 102, -60, 0, -56, -24, 0, -62, 80, 0, 0, 18, 0, 30, -426, 0, -312, 0, 0, -261, -156, 0, -9, 82, 0, 270, -12, 0, 126, -10, 0, -198, -66, 0, 0, 54, 0, 70, -246, 0, -300, 108, 0, 25, -96, 0, -127, 24, 0, -67, 52, 0, 72, 126, 0, 132, 92, 0, -136, 84, 0, 144, 54, 0, 0, 0, 0, 6, 0, 0, 144, 16, 0, -87, 0, 0, 87, 36, 0, 0, 12, 0, 345, -102, 0, 25, -78, 0, 206, 0, 0, -21, -108, 0, 243, 112, 0, 0, 160, 0, -18, 0, 0, 99, -126, 0, 0, 192, 0, 0, 252, 0, -199, 102, 0, -24, -258, 0, -99, -288, 0, -30, 780, 0, 198, 0, 0, -73, -196, 0, -180, 324, 0, -42, 48, 0, -24, 216, 0, 0, 244, 0, -291, -174, 0, -144, -330, 0, -96, 102, 0, -118, -18, 0, 155, 0, 0, 183, -54, 0, 57, -78, 0, 178, 114, 0, 72, -66, 0, -45, 0, 0, -14, -90, 0, 346, -52, 0, 84, -324, 0, -156, -12, 0, 285, -300, 0, 9, 0, 0, -106, -54, 0, -54, -150, 0, 441, 0, 0, 0, 0, 0, 123, 232, 0, -104, 198, 0, -90, -102, 0, -2, 118, 0, 67, -48, 0, -138, 162, 0, 327, 156, 0, -222, -52, 0, 306, 30, 0, 129, 126, 0, -31, 246, 0, -132, 126, 0, -185, 156, 0, -117, 90, 0, 33, -248, 0, 0, -234, 0, 0, -306, 0, 106, -390, 0, 0, -276, 0, -102, -42, 0, -156, 26, 0, -12, -382, 0, 38, 72, 0, 0, -156, 0, 150, -372, 0, -4, -192, 0, -284, -16, 0, 0, 232, 0, 51, -282, 0, -384, 0, 0, -339, 306, 0, -96, 136, 0, 426, 84, 0, 15, -78, 0, -582, -154, 0, 0, 78, 0, 384, -186, 0, -444, 228, 0, -136, -324, 0, -40, -372, 0, -179, 100, 0, 201, 414, 0, 285, 234, 0, -22, 252, 0, 48, 372, 0, 0, 0, 0, 18, 0, 0, 90, 248, 0, -120, 0, 0, -81, 330, 0, 0, 132, 0, 30, -24, 0, -192, -44, 0, 88, 0, 0, -36, -306, 0, 183, -44, 0, 0, -32, 0, 45, 0, 0, 102, 12, 0, 0, 724, 0, 0, 336, 0, -159, -390, 0, -309, -300, 0, -42, -192, 0, -185, 384, 0, 342, 0, 0, -37, -392, 0, -201, 672, 0, -164, -112, 0, 9, 96, 0, -165, 346, 0, -414, -36, 0, -360, -402, 0, -174, 178, 0, -38, -228, 0, 165, 0, 0, 372, 54, 0, 222, 258, 0, 506, -144, 0, 285, -258, 0, 246, 0, 0, -100, -264, 0, 338, -116, 0, 150, -588, 0, 168, 42, 0, 216, -150, 0, 105, 0, 0, 102, 90, 0, -148, -240, 0, 441, 0, 0, 0, 0, 0, -120, 494, 0, -324, 264, 0, 204, 312, 0, 273, 136, 0, 109, -354, 0, -87, 216, 0, 246, -102, 0, -84, 150, 0, 354, -126, 0, 195, 144, 0, 6, 900, 0, -24, 294, 0, -347, -114, 0, -390, 138, 0, -90, -130, 0, 0, -360, 0, 0, 120, 0, 28, -154, 0, 0, 114, 0, -615, -102, 0, -168, -94, 0, -42, -452, 0, 150, -348, 0, 0, 384, 0, 411, -480, 0, 150, -126, 0, -93, 84, 0, 0, 10, 0, -87, -480, 0, -968, 0, 0, -453, -66, 0, 384, 266, 0, 456, 156, 0, 390, -66, 0, -384, -324, 0, 0, 228, 0, 216, -342, 0, -1068, 432, 0, 97, -852, 0, -188, -174, 0, -128, -60, 0, 159, 90, 0, 327, 246, 0, -220, 216, 0, 81, -582, 0, 0, 0, 0, 87, 0, 0, 180, -288, 0, -15, 0, 0, -327, 162, 0, 0, -6, 0, 471, 186, 0, -26, -114, 0, 180, 0, 0, 27, -372, 0, 414, 48, 0, 0, 296, 0, 306, 0, 0, 231, -114, 0, 0, 536, 0, 0, 708, 0, -236, 504, 0, -369, -330, 0, -372, -66, 0, -50, 444, 0, 381, 0, 0, -88, -492, 0, -264, 816, 0, -341, 252, 0, 186, 178, 0, 33, 234, 0, -774, -264, 0, -99, -312, 0, -300, 216, 0, 47, 54, 0, -8, 0, 0, 216, 216, 0, 297, -282, 0, 527, -42, 0, 441, 354, 0, -54, 0, 0, 84, -318, 0, 303, 546, 0, -294, -44, 0, -216, -42, 0, 609, -660, 0, 165, 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, 91, 16, -1, 6, 0], [1, 1, 273, 25, 1, 6, 0]], "char_orbit_index": 25, "prim_orbit_index": 25, "minimal_twist": "273.2.y.b", "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}