# Stored data for newform 1078.2.e.n, downloaded from the LMFDB on 20 January 2026.
{"Nk2": 4312, "analytic_conductor": 8.607873337894025, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 7, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 3, "char_parity": 1, "char_values": [1078, 3, [199, 981], [2, 3]], "cm_discs": [], "conrey_index": 67, "dim": 4, "field_disc": 225, "field_disc_factorization": [[3, 2], [5, 2]], "field_poly": [1, 1, 2, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [[3, [16, -8, 8, 2, 1]], [5, [16, 8, 8, -2, 1]], [13, [-4, -2, 1]]], "hecke_orbit": 14, "hecke_orbit_code": 58547070067278902, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "1078.2.e.n", "level": 1078, "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, 7, 11], "level_radical": 154, "minimal_twist": "154.2.a.d", "nf_label": "4.0.225.1", "prim_orbit_index": 3, "qexp_display": "q+\\beta _{1}q^{2}+(-1-\\beta _{1}-\\beta _{2})q^{3}+(-1+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1078.2.e", "trace_display": [-2, -2, 2, 0], "trace_hash": 1428503412790781051, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.699", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, 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