# Stored data for newform 4600.2.e.l, downloaded from the LMFDB on 27 April 2025.
{"Nk2": 18400, "analytic_conductor": 36.731184929788974, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 5, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 2, "char_parity": 1, "char_values": [4600, 2, [1151, 2301, 2577, 1201], [2, 2, 1, 2]], "cm_discs": [], "conrey_index": 4049, "dim": 4, "field_disc": 400, "field_disc_factorization": [[2, 4], [5, 2]], "field_poly": [1, 0, 3, 0, 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, 0, 12, 0, 1]], [7, [1, 0, 18, 0, 1]], [11, [-1, 1]], [13, [5, 0, 1]]], "hecke_orbit": 12, "hecke_orbit_code": 49539870812541432, "hecke_ring_generator_nbound": 7, "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, 5, 2, 1, 2, 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": true, "label": "4600.2.e.l", "level": 4600, "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, 5, 23], "level_radical": 230, "minimal_twist": "4600.2.a.q", "nf_label": "4.0.400.1", "prim_orbit_index": 2, "qexp_display": "q+(-\\beta _{1}+\\beta _{2})q^{3}+(-2\\beta _{1}+\\beta _{2})q^{7}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4600.2.e", "trace_display": [0, 0, 0, 0], "trace_hash": 1216173288783079242, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.010", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", 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