# Stored data for newform 925.2.f.f, downloaded from the LMFDB on 16 July 2025. {"Nk2": 3700, "analytic_conductor": 7.386162186968436, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 185, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 6, "char_orbit_label": "f", "char_order": 4, "char_parity": 1, "char_values": [925, 4, [852, 76], [3, 3]], "cm_discs": [], "conrey_index": 43, "dim": 48, "has_non_self_twist": 1, "hecke_cutters": [[2, [1, 0, 904, 0, 10626, 0, 47952, 0, 111369, 0, 148578, 0, 120103, 0, 60710, 0, 19498, 0, 3962, 0, 492, 0, 34, 0, 1]], [3, [10000, 0, 0, 0, 747808184, 0, 0, 0, 81585007329, 0, 0, 0, 156119216156, 0, 0, 0, 115764447394, 0, 0, 0, 42521815178, 0, 0, 0, 8448176035, 0, 0, 0, 942180736, 0, 0, 0, 59465183, 0, 0, 0, 2085720, 0, 0, 0, 38383, 0, 0, 0, 326, 0, 0, 0, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22518341767791517, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 185, 6, 1, 4, 0], [1, 1, 185, 11, 1, 4, 0]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "925.2.f.f", "level": 925, "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": false, "level_primes": [5, 37], "level_radical": 185, "minimal_twist": "925.2.f.f", "prim_orbit_index": 6, "related_objects": [], "relative_dim": 24, "rm_discs": [], "sato_tate_group": "1.2.3.c4", "self_twist_discs": [], "self_twist_type": 0, "space_label": "925.2.f", "trace_display": [0, 0, 0, 0], "traces": [48, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 64, 0, 0, 12, 0, 0, 0, 0, -52, 0, -16, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, -36, 0, 0, -116, 0, -28, 0, 0, 28, 0, -20, 0, 0, -24, 0, -76, 0, 0, 68, 0, 48, 0, 0, -72, 0, -100, 0, 0, 80, 0, -80, 0, 0, 0, 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0, -296, 0, -164, 0, 0, 0, 0, 0, 0, 0, 404, 0, -208, 0, 0, 200, 0, -384, 0, 0, 480, 0, 20, 0, 0, 0, 0, 0, 0, 0, -544, 0, -64, 0, 0, 232, 0, 0, 0, 0, -232, 0, 32, 0, 0, -372, 0, -592, 0, 0, 0, 0, 0, 0, 0, 460, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 168, 0, 0, -376, 0, -208, 0, 0, 320, 0, 560, 0, 0, -264, 0, -116, 0, 0, 556, 0, -640, 0, 0, -840, 0], "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}