# Stored data for newform 1785.2.a.m, downloaded from the LMFDB on 20 January 2026.
{"Nk2": 7140, "analytic_conductor": 14.253296760798548, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 1], [7, 1], [17, 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": [1785, 1, [596, 1072, 766, 1261], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [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, [-1, 1]], [11, [0, 1]], [13, [-6, 1]]], "hecke_orbit": 13, "hecke_orbit_code": 54043195562002169, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "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": true, "label": "1785.2.a.m", "level": 1785, "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": [3, 5, 7, 17], "level_radical": 1785, "minimal_twist": "1785.2.a.m", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-q^{7}+\\cdots", "related_objects": ["EllipticCurve/Q/1785/m"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1785.2.a", "trace_display": [1, 1, -1, -1], "trace_hash": 1785851394115570395, "trace_moments": [{"__RealLiteral__": 0, "data": "0.002", "prec": 17}, {"__RealLiteral__": 0, "data": "1.020", "prec": 17}, {"__RealLiteral__": 0, "data": 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