# Stored data for newform 252.8.a.c, downloaded from the LMFDB on 14 July 2026.
{"Nk2": 16128, "analytic_conductor": 78.72102642199869, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, -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": [252, 1, [127, 29, 73], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 3649, "field_disc_factorization": [[41, 1], [89, 1]], "field_poly": [-912, -1, 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": [[5, [-113940, 264, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007199388958972, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 12, "hecke_ring_index_factorization": [[2, 2], [3, 1]], "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": "252.8.a.c", "level": 252, "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": [2, 3, 7], "level_radical": 42, "minimal_twist": "84.8.a.c", "nf_label": "2.2.3649.1", "prim_orbit_index": 1, "qexp_display": "q+(-132-\\beta )q^{5}+7^{3}q^{7}+(2490-7\\beta )q^{11}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "7.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "252.8.a", "trace_display": [0, 0, -264, 686], "trace_hash": 1914807729390447197, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.948", "prec": 17}, {"__RealLiteral__": 0, "data": "0.016", 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