# Stored data for newform 430.2.r.a, downloaded from the LMFDB on 25 April 2024.
{"label": "430.2.r.a", "space_label": "430.2.r", "level": 430, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1168264659374, "dim": 264, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 28, "char_parity": 1, "char_degree": 12, "char_conductor": 215, "char_orbit_label": "r", "char_is_real": false, "Nk2": 1720, "analytic_conductor": 3.4335672869150566, "level_radical": 430, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [430, 28, [87, 261], [7, 2]], "inner_twist_count": 4, "level_primes": [2, 5, 43], "conrey_indexes": [27, 113, 137, 217, 223, 237, 247, 297, 303, 323, 333, 383], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 22, "sato_tate_group": "1.2.3.c28", "trace_display": [0, 0, 0, 0], "traces": [264, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, -40, 0, 0, 44, -8, 0, 0, 0, -16, 0, -24, 0, -8, 0, 0, 0, 0, 0, 48, 0, -56, 0, 32, 256, 0, -100, 0, 0, 40, 0, -168, 0, 0, 0, 48, 0, 0, 0, -280, -16, 24, 0, 0, -8, -40, 0, 0, -16, 0, -84, 0, 0, 84, 144, 40, 20, 0, 0, 0, 0, -252, 0, 0, 0, -56, -56, 0, 0, 48, -56, -44, 0, 0, 20, -144, 0, 0, 4, 0, 24, 0, 0, 28, 8, -60, 0, 0, -56, 128, -20, 108, 0, 0, 0, 56, -84, 0, -64, -208, 0, 84, 0, 0, -28, -132, 0, 0, 0, -132, -96, 0, 0, 252, -272, -56, 0, 0, 0, -112, 0, -88, 0, 32, 0, 140, -4, 0, 60, -504, -32, 96, 0, -24, -80, 0, 0, 0, 52, -112, -40, 96, 0, -56, 0, -28, 0, 0, 0, 0, 0, 0, 0, 104, 0, 32, 0, 0, -60, 0, -28, 280, 0, 84, 0, 140, -144, 0, 0, -136, -100, -80, 0, 60, 64, -112, 76, 0, 56, 56, 0, -20, 0, 120, 56, 252, -84, 0, 0, 224, 140, 236, 0, 0, 364, 320, -16, 0, 256, 168, 144, -68, 0, 416, 16, 28, 84, 0, -56, 192, 0, 196, 0, -88, 48, 140, 100, 0, 104, -120, 0, 252, 0, -56, -96, 252, 136, 0, 0, 168, 56, 140, 0, 448, -192, 56, -84, 0, 156, 144, 0, -268, 0, 172, -44, 0, -216, 0, 0, -140, 152, -224, 0, 0, -112, 168, -16, 0, 0, -16, -20, -192, 0, -368, 28, -336, 84, 0, 56, 328, 20, 236, 0, -280, 168, 56, 0, 0, 0, -112, -196, -148, 0, 0, 16, -672, 156, 0, 0, -112, -56, 0, 0, 184, 0, -552, 0, 0, -12, 136, -140, 196, 0, -240, -48, 208, -68, 0, 0, -56, -112, -56, 0, -56, 72, -504, 0, 0, 0, -112, 44, 0, 0, 140, -96, -296, 0, 0, -56, 0, 172, 0, 0, -760, 112, 56, 136, 0, 16, 0, 0, 200, 0, 64, 0, 232, 260, 0, -48, -164, -140, -336, 0, -16, 0, -524, 24, 0, -112, -168, -196, 0, 0, -732, 0, 252, -280, 0, -416, 0, 264, -112, 0, 48, 0, 396, 24, 0, -280, 72, 0, 432, 0, -280, 16, -268, -288, 0, 8, 176, 128, 172, 0, -560, 28, -168, -20, 0, -276, 256, -24, 112, 0, -588, 0, 504, 368, 0, -28, -28, 336, 768, 0, 168, 224, 196, 56, 0, 300, 256, -84, -280, 0, 448, -8, 0, -308, 0, 8, -132, 56, -240, 0, 256, 0, 164, -28, 0, -280, -176, 0, -128, 0, -232, 0, 560, -224, 0, 0, 216, 0, 280, 0, 500, 32, 0, -188, 0, -136, 440, 0, -408, 0, 0, -56, 48, 0, 0, 0, -728, -16, -92, 0, -364, -164, -496, -40, 0, 136, 0, -28, -84, 0, 448, 64, -404, -168, 0, 84, 308, 252, -588, 0, 0, 0, -28, -168, 0, 0, -264, 0, -20, 0, 0, -64, -504, 0, 0, -24, -224, 96, 0, 0, -332, 132, 348, 0, 0, -488, 8, 32, 356, 0, 84, 0, 380, -140, 0, -192, -664, 0, 112, 0, 0, -616, -216, 28, 0, 280, -384, -136, 0, 0, -560, -296, -328, 0, 0, 24, 280, 448, -496, 0, -448, 0, 1092, 80, 0, 428, 112, 100, 56, 0, -72, 52, -280, 0, 0, 48, -280, -608, 24, 0, -336, -112, -476, 0, 0, -468, -672, 0, -84, 0, -824, 0, 332, 280, 0, 60, 0, 160, 1352, 0, 420, -204, 588, -40, 0, 448, 136, -180, 20, 0, 316, 80, -64, 320, 0, 84, 140, 420, -92, 0, -288, 192, 928, 112, 0, 392, -224, 308, 576, 0, 448, 224, 816, 992, 0, 0, 700, 440, -108, 0, 128, 384, 420, 224, 0, 112, 64, 0, -112, 0, 60, 128, 728, 256, 0, 152, -32, 212, 504, 0, 392, 360, 448, 116, 0, 40, 392, -84, 784, 0, 1568, -36, 308, 28, 0, 260, 1120, 0, -64, 0, -224, -228, 0, -28, 0, 224, 0, 140, -280, 0, 0, 28, -28, -32, 0, 0, -376, -532, -120, 0, -124, 280, -392, 224, 0, -84, 704, 144, 328, 0, -112, 336, -364, 252, 0, 0, -196, -728, -520, 0, 0, -752, -364, 124, 0, 0, -968, -480, 28, 0, 428, 0, -144, 0, 0, 92, 936, -296, 252, 0, 32, -160, 84, -140, 0, 0, 56, 92, -616, 0, 20, 32, -532, -308, 0, 0, -980, 12, 252, 0, -28, -416, -1000, 0, 0, -392, -320, 20, 0, 0, -992, -112, 448, 132, 0, 0, 0, 196, -392, 0, 172, -112, -4, 252, 0, -292, -568, -280, 28, 0, 152, 0, -560, 632, 0, -56, -588, -560, 28, 0, -416, 0, 112, 0, 0, -1176, 0, 100, 196, 0, -92, 0, 932, -224, 0, -112, -436, 0, 0, 0, 280, 112, -672, -100, 0, -220, 1160, 16, -208, 0, -196, 56, -560, -76, 0, -144, 148, -144, 672, 0, -476, -336, 420, 144, 0, 112, 280, 264, -408, 0, 632, 28, 264, -72, 0, 400, 768, -616, -616, 0, 308, -240, 0, -280, 0, 148, 104, 84, -564, 0, 116, -64, 32, -784, 0, -56, -1004, 0, 460, 0, -208, 0, 336, 0, 0, -448, 1144, 0, -672, 0, 236, 8, 0, -280, 0, -144, 472, 0, -348, 0, -252, -1176, -188, -196, 0, 0, -392, 40, 228, 0, -252, -52, -560, -292, 0, -60, 1008, 224, -756, 0, 476, 472, -1212, 0, 0, 728, 728, 252, -1904, 0, -224, -112, -28, -824, 0, 0, -256, -112, -532, 0, 0, -32, -1216, -252, 0, -272, -1904, 88, 0, 0, 168, 200, 60, -168, 0, 16, 212, -16, 272, 0, 588, -560, 364, 112, 0, -480, -824, 0, 504, 0, 140, -140, -532, 0, 0, 196, -1788, 16, 0, 0, -420, -592, -748, 0, 0, 504, -56, 56, -336, 0, 456, 0, 336, 0, 0, 132], "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, 5, 3, -1, 4, 0], [1, 1, 43, 6, -1, 14, 0], [1, 1, 215, 18, 1, 28, 0]], "char_orbit_index": 18, "prim_orbit_index": 18, "minimal_twist": "430.2.r.a", "char_is_minimal": true, "conrey_index": 27, "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}