# Stored data for newform 1050.2.a.h, downloaded from the LMFDB on 13 September 2025.
{"Nk2": 4200, "analytic_conductor": 8.38429221223444, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1], [7, 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": [1050, 1, [701, 127, 451], [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": [[11, [-4, 1]], [13, [-2, 1]], [17, [2, 1]], [19, [4, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197425148954, "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": "1050.2.a.h", "level": 1050, "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, 7], "level_radical": 210, "minimal_twist": "210.2.a.c", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\\cdots", "related_objects": ["EllipticCurve/Q/1050/h"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1050.2.a", "trace_display": [-1, 1, 0, -1], "trace_hash": 1174187501442913648, "trace_moments": [{"__RealLiteral__": 0, "data": "0.031", "prec": 17}, {"__RealLiteral__": 0, "data": "0.989", "prec": 17}, {"__RealLiteral__": 0, "data": "0.093", "prec": 17}, {"__RealLiteral__": 0, "data": "1.936", "prec": 17}, {"__RealLiteral__": 0, "data": "0.286", "prec": 17}, {"__RealLiteral__": 0, "data": "4.749", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.014", "prec": 17}, "traces": [0, 1, -1, 1, 1, 0, -1, -1, -1, 1, 0, 4, 1, 2, 1, 0, 1, -2, -1, -4, 0, -1, -4, 8, -1, 0, -2, 1, -1, 6, 0, -8, -1, 4, 2, 0, 1, 2, 4, 2, 0, 2, 1, 12, 4, 0, -8, 8, 1, 1, 0, -2, 2, -6, -1, 0, 1, -4, -6, 4, 0, -2, 8, -1, 1, 0, -4, -12, -2, 8, 0, 8, -1, 14, -2, 0, -4, -4, -2, 0, 0, 1, -2, -12, -1, 0, -12, 6, -4, 2, 0, -2, 8, -8, -8, 0, -1, -10, -1, 4, 0, 6, 2, -8, -2, 0, 6, 20, 1, -2, 0, 2, -1, 14, 4, 0, 6, 2, -4, 2, 0, 5, 2, 2, -8, 0, 1, 0, -1, 12, 0, 12, 4, 4, 12, 0, 2, -10, -8, 20, 0, 8, -8, 8, 1, 0, -14, 1, 2, -18, 0, 8, 4, -2, 4, 0, 2, -14, 0, -6, 0, -8, -1, -12, 2, 0, 12, 16, 1, -9, 0, -4, 12, -14, -6, 0, 4, 4, -2, -20, 0, -10, 2, -2, -8, 0, 8, -8, 8, -1, 0, -16, 1, 14, 10, 0, 1, -6, -4, -16, 0, -12, -6, -6, -2, 0, 8, 8, 2, -16, 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