# Stored data for newform 790.2.j.a, downloaded from the LMFDB on 03 June 2026.
{"Nk2": 3160, "analytic_conductor": 6.30818175968115, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 395, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 10, "char_orbit_label": "j", "char_order": 6, "char_parity": 1, "char_values": [790, 6, [317, 161], [3, 2]], "cm_discs": [], "conrey_index": 339, "dim": 80, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 618508845846, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 79, 3, 1, 3, 0], [1, 1, 395, 10, 1, 6, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "790.2.j.a", "level": 790, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": true, "level_primes": [2, 5, 79], "level_radical": 790, "minimal_twist": "790.2.j.a", "prim_orbit_index": 10, "related_objects": [], "relative_dim": 40, "rm_discs": [], "sato_tate_group": "1.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "790.2.j", "trace_display": [0, 0, 0, 0], "traces": [80, 0, 0, 40, 0, 4, 0, 0, 36, -4, -8, 0, 0, 16, -8, -40, 0, 0, -8, 0, -72, 0, 0, -4, 6, 0, 0, 0, -8, -10, -16, 0, 0, 0, -2, -36, 0, 0, 24, -2, -8, 0, 0, 8, 8, -8, 0, 0, 52, 0, -8, 0, 0, -40, 26, 8, 0, 0, 16, -4, -32, 0, 0, -80, -8, 52, 0, 0, -56, -16, -48, 0, 0, -24, 14, 8, 0, 0, 24, 0, -8, 0, 0, -36, 4, 16, 0, 0, 8, 30, 0, 0, 0, 88, 28, -8, 0, 0, 52, 12, 72, 0, 0, 0, 32, -48, 0, 0, -4, -18, -28, 0, 0, -8, 48, 8, 0, 0, -40, -20, -52, 0, 0, 16, -72, 24, 0, 0, 44, -20, -96, 0, 0, 0, 74, 0, 0, 0, 0, -4, 72, 0, 0, -72, -20, -16, 0, 0, 0, 108, 48, 0, 0, 56, -20, -24, 0, 0, -176, 2, 76, 0, 0, -4, -80, -8, 0, 0, 44, -28, 136, 0, 0, 36, -188, 16, 0, 0, -96, 16, 32, 0, 0, -4, 84, -16, 0, 0, -112, -16, -40, 0, 0, -8, 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112, 288, 0, 0, -336, -102, 16, 0, 0, 184, 212, 256, 0, 0, 16, -270, -108, 0, 0, -472, -20, -160, 0, 0, 80, -360, -248, 0, 0, -268, 8, 52, 0, 0, 144, -664, -256, 0, 0, -40, -52, -268, 0, 0, 104, 696, 16, 0, 0, -16, 68, -280, 0, 0, 48, -174, -48, 0, 0, -96, 108, 92, 0, 0, 224, -68, -36, 0, 0, 224, 20], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}