# Stored data for newform 2790.2.a.e, downloaded from the LMFDB on 26 December 2025.
{"Nk2": 11160, "analytic_conductor": 22.278262163937228, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1], [31, -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": [2790, 1, [2171, 1117, 1801], [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": [[7, [4, 1]], [11, [0, 1]], [13, [4, 1]], [17, [0, 1]], [19, [4, 1]]], "hecke_orbit": 5, "hecke_orbit_code": 18014398543039206, "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": false, "label": "2790.2.a.e", "level": 2790, "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, 5, 31], "level_radical": 930, "minimal_twist": "310.2.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+q^{4}+q^{5}-4q^{7}-q^{8}-q^{10}+\\cdots", "related_objects": ["EllipticCurve/Q/2790/e"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2790.2.a", "trace_display": [-1, 0, 1, -4], "trace_hash": 219719893563395989, "trace_moments": [{"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "0.955", "prec": 17}, {"__RealLiteral__": 0, "data": "0.033", "prec": 17}, {"__RealLiteral__": 0, "data": "1.833", "prec": 17}, {"__RealLiteral__": 0, "data": "0.088", "prec": 17}, {"__RealLiteral__": 0, "data": "4.424", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.029", "prec": 17}, "traces": [0, 1, -1, 0, 1, 1, 0, -4, -1, 0, -1, 0, 0, -4, 4, 0, 1, 0, 0, -4, 1, 0, 0, 6, 0, 1, 4, 0, -4, -6, 0, 1, -1, 0, 0, -4, 0, 8, 4, 0, -1, 6, 0, -10, 0, 0, -6, 0, 0, 9, -1, 0, -4, 0, 0, 0, 4, 0, 6, 12, 0, 14, -1, 0, 1, -4, 0, 8, 0, 0, 4, 0, 0, -4, -8, 0, -4, 0, 0, 8, 1, 0, -6, -6, 0, 0, 10, 0, 0, 18, 0, 16, 6, 0, 0, -4, 0, -10, -9, 0, 1, 6, 0, -16, 4, 0, 0, 12, 0, 2, 0, 0, -4, -6, 0, 6, -6, 0, -12, 0, 0, -11, -14, 0, 1, 1, 0, 2, -1, 0, 4, 12, 0, 16, -8, 0, 0, 12, 0, -4, -4, 0, 0, 0, 0, -6, 4, 0, 8, 18, 0, 8, 4, 0, 0, 1, 0, 14, -8, 0, -1, -24, 0, -16, 6, 0, 6, -6, 0, 3, 0, 0, -10, -6, 0, -4, 0, 0, -18, -24, 0, 2, -16, 0, -6, 8, 0, 0, 0, 0, 4, 0, 0, 14, 10, 0, 9, 12, 0, -4, -1, 0, -6, 24, 0, 6, 16, 0, -4, 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