# Stored data for newform 2175.4.a.o, downloaded from the LMFDB on 10 March 2026.
{"Nk2": 34800, "analytic_conductor": 128.32915426248584, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 1], [29, -1]], "atkin_lehner_string": "-+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [2175, 1, [1451, 2002, 901], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 8, "field_disc": 72845838677807644892, "field_disc_factorization": [[2, 2], [219242911, 1], [83065215593, 1]], "field_poly": [1424, 924, -1792, -701, 586, 117, -43, -4, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [512, 2112, 90, -1869, 456, 169, -43, -4, 1]], [7, [-42630912, 92003904, -28227032, -688840, 403612, 413, -1585, -1, 1]]], "hecke_orbit": 15, "hecke_orbit_code": 63050394850297983, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 16, "hecke_ring_index_factorization": [[2, 4]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "2175.4.a.o", "level": 2175, "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": [3, 5, 29], "level_radical": 435, "minimal_twist": "435.4.a.k", "prim_orbit_index": 1, "qexp_display": "q+(1-\\beta _{1})q^{2}+3q^{3}+(5+\\beta _{2})q^{4}+(3+\\cdots)q^{6}+\\cdots", "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2175.4.a", "trace_display": [4, 24, 0, 1], "trace_hash": 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