# Stored data for newform 36.19.d.a, downloaded from the LMFDB on 19 January 2026.
{"Nk2": 12996, "analytic_conductor": 73.93900957551492, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 4, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 4, "char_orbit_label": "d", "char_order": 2, "char_parity": -1, "char_values": [36, 2, [19, 29], [1, 2]], "cm_discs": [-4], "conrey_index": 19, "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, "has_non_self_twist": 0, "hecke_cutters": [[5, [-3443528, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 206477197348, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4]], "is_cm": true, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": true, "is_twist_minimal": true, "label": "36.19.d.a", "level": 36, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 3], "level_radical": 6, "minimal_twist": "36.19.d.a", "nf_label": "1.1.1.1", "prim_orbit_index": 2, "qexp_display": "q-2^{9}q^{2}+2^{18}q^{4}+3443528q^{5}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "18.2.1.d2", "self_twist_discs": [-4], "self_twist_type": 1, "space_label": "36.19.d", "trace_display": [-512, 0, 3443528, 0], "trace_hash": 1321871443219401695, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.979", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.873", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.371", 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