# Stored data for newform 432.2.v.a, downloaded from the LMFDB on 24 April 2024.
{"label": "432.2.v.a", "space_label": "432.2.v", "level": 432, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1443142566320, "dim": 88, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [], "char_order": 12, "char_parity": 1, "char_degree": 4, "char_conductor": 144, "char_orbit_label": "v", "char_is_real": false, "Nk2": 1728, "analytic_conductor": 3.4495373673193126, "level_radical": 6, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [432, 12, [271, 325, 353], [6, 9, 2]], "inner_twist_count": 4, "level_primes": [2, 3], "conrey_indexes": [35, 179, 251, 395], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 22, "sato_tate_group": "1.2.3.c12", "trace_display": [6, 0, 6, -4], "traces": [88, 6, 0, -2, 6, 0, -4, 0, 0, -8, 6, 0, -2, 6, 0, -2, 0, 0, -8, 48, 0, -2, 12, 0, 0, 0, 0, 8, 6, 0, 0, 6, 0, 2, 0, 0, -8, 6, 0, -2, 0, 0, -2, 0, 0, -40, 0, 0, -24, -72, 0, -2, 0, 0, -16, -36, 0, 16, 42, 0, -2, 0, 0, -44, 12, 0, -2, -96, 0, -16, 0, 0, 0, -78, 0, -14, 6, 0, 0, 0, 0, -36, -54, 0, 8, -54, 0, 22, 0, 0, 20, -108, 0, 6, 0, 0, -4, 0, 0, -24, 78, 0, -4, 84, 0, -2, 0, 0, -8, -66, 0, 26, 12, 0, -22, 0, 0, -68, -72, 0, 0, 186, 0, -6, 0, 0, 0, 90, 0, 14, -90, 0, -16, 0, 0, 56, 0, 0, -26, 222, 0, 50, 0, 0, -16, 180, 0, 16, 6, 0, -52, 0, 0, 20, -114, 0, -2, 102, 0, 64, 0, 0, -8, 228, 0, 10, -60, 0, 0, 0, 0, -104, 6, 0, 0, -144, 0, -30, 0, 0, -8, 90, 0, 32, 0, 0, 20, 0, 0, 24, 0, 0, -4, -234, 0, 30, 0, 0, -16, -72, 0, 4, -126, 0, 18, 0, 0, 100, 12, 0, -38, -288, 0, 94, 0, 0, 0, -246, 0, 38, -72, 0, 0, 0, 0, 56, 162, 0, -2, -78, 0, 40, 0, 0, 60, -288, 0, 76, 0, 0, -4, 0, 0, -80, -36, 0, -4, 186, 0, -24, 0, 0, -52, -198, 0, -2, 12, 0, -16, 0, 0, 148, 252, 0, 0, 354, 0, -2, 0, 0, 0, 36, 0, -54, 216, 0, -2, 0, 0, 140, 0, 0, -2, 288, 0, 42, 0, 0, 24, 450, 0, 54, -162, 0, -4, 0, 0, 64, 162, 0, 26, 108, 0, -86, 0, 0, 64, 366, 0, 18, 276, 0, 0, 0, 0, 36, -66, 0, 0, -132, 0, -68, 0, 0, -80, 126, 0, -78, 0, 0, 22, 0, 0, 104, 0, 0, -4, -384, 0, -4, 0, 0, 40, -156, 0, -86, 234, 0, -2, 0, 0, -80, -36, 0, -40, -336, 0, -62, 0, 0, 0, -408, 0, 26, -24, 0, 0, 0, 0, -84, -252, 0, -2, -240, 0, -168, 0, 0, -8, -492, 0, -90, 0, 0, -32, 0, 0, 128, -186, 0, 64, 42, 0, 40, 0, 0, -8, -48, 0, -168, 12, 0, -18, 0, 0, -76, -300, 0, 0, 438, 0, -16, 0, 0, 0, 174, 0, -28, -198, 0, -2, 0, 0, -224, 0, 0, 86, 414, 0, -136, 0, 0, -16, 384, 0, -80, 120, 0, 116, 0, 0, 32, -186, 0, -12, 246, 0, -82, 0, 0, 132, 456, 0, -122, -444, 0, 0, 0, 0, -28, 6, 0, 0, -234, 0, 18, 0, 0, 20, 132, 0, -20, 0, 0, 56, 0, 0, -336, 0, 0, -4, -480, 0, -66, 0, 0, -16, -210, 0, 90, -234, 0, 32, 0, 0, -240, -72, 0, -2, -636, 0, -80, 0, 0, 0, -504, 0, -102, 174, 0, 0, 0, 0, 20, 306, 0, 42, -246, 0, 86, 0, 0, -128, -468, 0, -40, 0, 0, -48, 0, 0, -100, 78, 0, 44, 186, 0, 34, 0, 0, -104, -132, 0, 164, -84, 0, 46, 0, 0, -356, 396, 0, 0, 450, 0, 10, 0, 0, 0, 216, 0, 78, 222, 0, 26, 0, 0, 152, 0, 0, 94, 624, 0, 108, 0, 0, -16, 396, 0, -28, 246, 0, 188, 0, 0, 124, 318, 0, 84, 228, 0, 148, 0, 0, 136, 486, 0, 212, 492, 0, 0, 0, 0, -40, 264, 0, 0, -210, 0, 74, 0, 0, -8, 372, 0, 212, 0, 0, -38, 0, 0, 200, 0, 0, -56, -600, 0, 28, 0, 0, -16, -102, 0, -68, 276, 0, 36, 0, 0, 496, 12, 0, 82, -408, 0, 188, 0, 0, 0, -486, 0, 82, 6, 0, 0, 0, 0, 300, -258, 0, -50, -48, 0, 76, 0, 0, -292, -558, 0, 222, 0, 0, -4, 0, 0, 120, 270, 0, 52, 204, 0, -102, 0, 0, 12, -354, 0, 34, 12, 0, 34, 0, 0, 388, -612, 0, 0, 540, 0, 78, 0, 0, 0, 348, 0, -124, -354, 0, 46, 0, 0, 240, 0, 0, -82, 486, 0, 86, 0, 0, 40, 474, 0, 58, -132, 0, -4, 0, 0, 36, -384, 0, -2, 270, 0, -166, 0, 0, -176, 600, 0, 38, -588, 0, 0, 0, 0, 308, -36, 0, 0, -186, 0, -72, 0, 0, -8, 420, 0, -276, 0, 0, -112, 0, 0, 312, 0, 0, -4, -600, 0, 140, 0, 0, -216, -270, 0, -74, -360, 0, 20, 0, 0, -204, 12, 0, 70, -492, 0, -162, 0, 0, 0, -558, 0, -70, -234, 0, 0, 0, 0, -172, 204, 0, 82, -180, 0, -206, 0, 0, -56, -630, 0, -190, 0, 0, -4, 0, 0, 288, -186, 0, -124, 360, 0, -100, 0, 0, -56, -204, 0, -242, -192, 0, -58, 0, 0, -128, 588, 0, 0, 474, 0, -68, 0, 0, 0, 324, 0, -102, 504, 0, 70, 0, 0, -548, 0, 0, -98, 618, 0, -306, 0, 0, -16, 486, 0, -12, -330, 0, -196, 0, 0, -148, 510, 0, 70, 270, 0, -148, 0, 0, -224, 414, 0, -302, 516, 0, 0, 0, 0, -96, -372, 0, 0, -234, 0, 74, 0, 0, 224, -6, 0, 14, 0, 0, -62, 0, 0, -572, 0, 0, -4, -402, 0, -122, 0, 0, -112, -198, 0, 76, 312, 0, 68, 0, 0, -332, 300, 0, -12, -414, 0, -104, 0, 0, 0, -558, 0, -18, 6, 0, 0, 0, 0, 120, -426, 0, -48, -336, 0, 250, 0, 0, 204, -396, 0, -24, 0, 0, -80, 0, 0, -232, -354, 0, -196, 390, 0, 182, 0, 0, 20, -306, 0, 208, 12, 0, -96, 0, 0, -416, -780, 0, 0, 408, 0, -34, 0, 0, 0, 36, 0, 226, -492, 0, 70, 0, 0, 36], "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, 9, 4, -1, 6, 0], [1, 1, 16, 6, -1, 4, 0], [1, 1, 144, 21, 1, 12, 0]], "char_orbit_index": 22, "prim_orbit_index": 21, "minimal_twist": "144.2.u.a", "char_is_minimal": false, "conrey_index": 35, "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}