# Stored data for newform 720.2.u.a, downloaded from the LMFDB on 25 April 2024.
{"label": "720.2.u.a", "space_label": "720.2.u", "level": 720, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1374423089872, "dim": 96, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 240, "char_orbit_label": "u", "char_is_real": false, "Nk2": 2880, "analytic_conductor": 5.749228945532187, "level_radical": 30, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [720, 4, [271, 181, 641, 577], [2, 3, 2, 2]], "inner_twist_count": 8, "level_primes": [2, 3, 5], "conrey_indexes": [179, 539], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 48, "sato_tate_group": "1.2.3.c4", "trace_display": [0, 0, 0, 0], "traces": [96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, -96, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -32, 0, 0, 48, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 80, 0, 0, 32, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -24, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, -256, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, -136, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -144, 0, 0, 96, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, -104, 0, 0, 32, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 296, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -184, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 176, 0, 0, 96, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 208, 0, 0, -104, 0, 0, 0, 0, 0, -328, 0, 0, 0, 0, 0, 192, 0, 0, -32, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 120, 0, 0, -80, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 352, 0, 0, -480, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, -16, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -136, 0, 0, 128, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 160, 0, 0, 304, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, -264, 0, 0, -256, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 680, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, 80, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 616, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 136, 0, 0, 96, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 32, 0, 0, 568, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -432, 0, 0, -320, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 336, 0, 0, -64, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, -720, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 240, 0, 0, -144, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -704, 0, 0, -800, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, -496, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -632, 0, 0, -192, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, -432, 0, 0, 416, 0, 0, 0, 0, 0, 720, 0, 0, 0, 0, 0, -168, 0, 0, -32, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 1016, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, -232, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1024, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -296, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 128, 0, 0, 40, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 336, 0, 0, -496, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 208, 0, 0, 32, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 0, -760, 0, 0, 0, 0, 0, -600, 0, 0, 0, 0, 0, -336, 0, 0, 560, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 512, 0, 0, -1152, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -344, 0, 0, 0, 0, 0, 672, 0, 0, 0, 0, 0, -456, 0, 0, 544, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 688, 0, 0, 320, 0, 0, 0, 0, 0, 744, 0, 0, 0, 0, 0, -544, 0, 0, 384, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, -352, 0, 0, 1024, 0, 0, 0, 0, 0, 784, 0, 0, 0, 0, 0, -216, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1072, 0, 0, 0, 0, 0, 480], "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, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 16, 6, -1, 4, 0], [1, 1, 48, 11, 1, 4, 0], [1, 1, 80, 11, -1, 4, 0], [1, 1, 240, 20, 1, 4, 0]], "char_orbit_index": 21, "prim_orbit_index": 20, "minimal_twist": "720.2.u.a", "char_is_minimal": true, "conrey_index": 179, "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}