# Stored data for newform 1859.4.a.h, downloaded from the LMFDB on 08 January 2026.
{"Nk2": 29744, "analytic_conductor": 109.6845507006718, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[11, 1], [13, 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": [1859, 1, [508, 1354], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 17, "field_disc": 13997128435400378591637573978453398646711567458427844515840, "field_disc_factorization": [[2, 11], [3, 4], [5, 1], [17, 1], [37, 1], [229, 1], [117156892637955895945573695438167828895161666471, 1]], "field_poly": [-2210688, 5215872, 3207432, -12177120, -984554, 9967603, -79027, -3663297, 59532, 669163, -7942, -65242, 406, 3449, -7, -93, 0, 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, [-2210688, 5215872, 3207432, -12177120, -984554, 9967603, -79027, -3663297, 59532, 669163, -7942, -65242, 406, 3449, -7, -93, 0, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197458704195, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 128, "hecke_ring_index_factorization": [[2, 7]], "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": "1859.4.a.h", "level": 1859, "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": [11, 13], "level_radical": 143, "minimal_twist": "143.4.e.b", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}-\\beta _{6}q^{3}+(3+\\beta _{2})q^{4}+(1-\\beta _{7}+\\cdots)q^{5}+\\cdots", "related_objects": [], 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