# Stored data for newform 2275.2.a.t, downloaded from the LMFDB on 07 December 2025. {"Nk2": 9100, "analytic_conductor": 18.165966459841286, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 1], [7, 1], [13, 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": [2275, 1, [1002, 976, 1926], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 134584629, "field_disc_factorization": [[3, 1], [44861543, 1]], "field_poly": [-6, -3, 14, 4, -8, -1, 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": [[2, [-6, 3, 14, -4, -8, 1, 1]], [3, [20, 62, 25, -23, -11, 2, 1]]], "hecke_orbit": 20, "hecke_orbit_code": 85568392953596131, "hecke_ring_generator_nbound": 2, "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": true, "label": "2275.2.a.t", "level": 2275, "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": [5, 7, 13], "level_radical": 455, "minimal_twist": "2275.2.a.t", "nf_label": "6.6.134584629.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+\\beta _{5}q^{3}+(1+\\beta _{1}+\\beta _{2})q^{4}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2275.2.a", "trace_display": [-1, -2, 0, -6], "trace_hash": 310253550068410179, 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