# Stored data for newform 690.2.h.b, downloaded from the LMFDB on 24 April 2024.
{"label": "690.2.h.b", "space_label": "690.2.h", "level": 690, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4504080697262770, "dim": 24, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[47, [13824, 12288, 2368, -472, -132, 4, 1]]], "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 345, "char_orbit_label": "h", "char_is_real": true, "Nk2": 2760, "analytic_conductor": 5.509677739468347, "level_radical": 690, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [690, 2, [461, 277, 511], [1, 1, 1]], "inner_twist_count": 4, "level_primes": [2, 3, 5, 23], "conrey_indexes": [689], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 24, "sato_tate_group": "1.2.3.c2", "trace_display": [24, -2, 0, 0], "traces": [24, 24, -2, 24, 0, -2, 0, 24, 6, 0, 0, -2, 0, 0, 0, 24, 0, 6, 0, 0, 0, 0, 4, -2, 12, 0, -2, 0, 0, 0, -28, 24, 0, 0, -8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -16, -2, -4, 12, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, -28, 0, 24, 0, 0, 0, 0, -8, -8, 0, 6, 0, 0, -6, 0, -8, 0, 0, 0, 14, 0, 0, 0, -44, 0, -28, 0, 0, 0, 0, 4, 4, -16, -4, -2, 0, -4, 0, 12, 0, 0, 0, 0, -4, 0, 0, -2, 0, 4, 0, 0, 0, 0, -24, 0, -46, 0, 0, 0, -20, 0, -50, -28, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -48, -8, -32, 0, 0, 6, 0, 0, -68, 0, 0, -6, -60, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, -34, 0, 8, 0, 12, -44, 0, 0, 28, -28, 0, 0, 116, 0, 0, 0, 0, 0, 0, 4, 32, 4, 0, -16, 0, -4, 0, -2, 0, 0, 0, -4, 20, 0, 0, 12, 0, 0, 0, 0, 0, 0, -20, 0, 0, -4, -72, 0, 70, 0, -20, -2, 0, 0, -16, 4, 0, 0, 0, 0, -6, 0, 0, 0, 0, -24, -70, 0, 32, -46, 0, 0, 0, 0, 0, 0, 0, -20, -32, 0, 0, -50, 0, -28, 0, 0, 0, 0, 0, 0, -50, 24, -8, 0, 24, 0, 124, 0, 0, 0, 68, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, -8, 0, -48, 70, -8, 0, -32, 0, 0, 124, 0, 0, 6, 76, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, -6, -8, -60, 20, 0, -16, 0, 0, -8, 0, 0, 0, 0, 0, 0, 94, 0, 36, 0, 0, 0, 0, 0, -56, 14, -32, 0, 0, 0, 0, -34, 32, 0, 0, 8, -60, 0, 0, 12, 0, -44, 0, 0, 0, 0, 150, 28, 132, -28, 104, 0, -42, 0, 136, 116, 0, 0, -62, 0, 0, 0, 12, 0, 146, 0, 0, 0, 0, 4, 112, 32, 0, 4, 0, 0, 0, -16, 112, 0, 0, -4, 144, 0, 0, -2, 0, 0, 0, 0, 0, 0, 60, -4, 140, 20, 156, 0, 0, 0, -98, 12, 0, 0, 0, 0, 0, 0, -240, 0, -44, 0, 0, 0, 0, -20, 80, 0, 144, 0, 0, -4, 0, -72, -32, 0, 0, 70, 0, 0, 0, -20, 0, -2, 0, 0, 0, 0, 44, -16, -52, 4, 142, 0, -76, 0, 36, 0, 0, 0, 0, -6, 0, 0, -106, 0, -16, 0, 0, 0, 0, -24, 0, -70, 0, 0, 0, 32, 0, -46, -24, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, -20, 4, -32, 0, 0, 28, 0, 0, -50, 0, 0, -124, -28, 0, 0, 40, 0, -124, 0, 0, 0, 0, 0, 100, 0, 0, -50, 0, 24, 0, -8, -200, 0, 0, 24, -186, 0, 0, 124, 0, 0, 0, 0, 0, 0, 16, 68, 8, 0, -104, 0, -80, 0, 148, 0, 0, 0, -120, 68, 0, 0, 192, 0, 0, 0, 0, 0, 0, -8, 0, 0, -64, -48, 0, 70, 0, -8, -104, 0, 0, -32, 52, 0, 0, 0, 0, 124, 0, 0, 0, 0, -136, 6, 0, 76, -164, 0, 0, 0, 0, 0, 0, 0, 100, -68, 0, 0, -118, 0, -224, 0, 0, 0, 0, 0, 0, -6, 116, -8, 0, -60, 0, 20, 0, 0, 0, -16, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -116, 0, -328, 0, -48, 0, -78, 0, 0, 94, 0, 0, 60, 36, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -256, -56, -240, 14, 0, -32, 0, 0, 4, 0, 0, 0, -108, 0, 0, -34, 0, 32, 0, 0, 0, 0, 0, 8, 96, -60, 0, 0, 0, 0, -38, 12, 0, 0, -16, -44, 0, 0, 140, 0, -76, 0, 0, 0, 0, 150, 88, 28, -222, 132, 0, -28, 0, 104, 40, 0, 0, -42, 0, 0, 0, 136, 0, 116, 0, 0, 0, 0, -64, -62, 160, 0, 12, 0, 0, 0, -264, 12, 0, 0, -16, 146, 0, 0, -162, 0, 0, 0, 0, 0, 0, 4, -104, 112, -128, 32, 0, 0, 0, 4, -32, 0, 0, 0, 0, 0, 0, -16, 0, 112, 0, 0, 0, 0, -30, -4, 0, 144, 0, 0, 112, 0, -320, -2, 0, 0, 108, 0, 0, 0, -260, 0, -196, 0, 0, 0, 0, 60, -84, -4, -8, 140, 0, 20, 0, 156, 0, 0, 0, 0, 80, 0, 0, -98, 0, 12, 0, 0, 0, 0, -148, 0, -120, 0, 0, 0, 160, 0, -260, -240, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, -288, 80, -128, 0, 0, 144, 0, 0, -234, 0, 0, -4, -288, 0, 0, -72, 0, -32, 0, 0, 0, 0, 0, 70, 0, 0, -262, 0, 96, 0, 176, -20, 0, 0, 8, -2, 0, 0, 282, 0, 0, 0, 0, 0, 0, 44, 312, -16, 0, -52, 0, 4, 0, 142, 0, 0, 0, -76, 232, 0, 0, 36, 0, 0, 0, 0, 0, 0, -108, 0, 0, -6, -384, 0, 196, 0, -16, -106, 0, 0, 64, -16, 0, 0, 0, 0, 114, 0, 0, 0, 0, -24, 58, 0, 384, -70, 0, 0, 0, 0, 0, 0, 0, 32, -12, 0, 0, -46, 0, -24, 0, 0, 0, 0, 0, 0, -266, 64, 76, 0, 104, 0, 220, 0, 0, 0, 240, 0, 0, 0, 0, 0, 372, 0, 0, 0, 0, -12, 0, -20, 274, 4, 0, -32, 0, 0, 352, 0, 0, 28, 328, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, -124, 4, -28, 80, 0, -20, 0, 0, 40, 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": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, 0], [1, 1, 23, 2, -1, 2, 0], [1, 1, 345, 8, 1, 2, 0]], "char_orbit_index": 8, "prim_orbit_index": 8, "minimal_twist": "690.2.h.a", "char_is_minimal": true, "conrey_index": 689, "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}