# Stored data for newform 30.11.f.a, downloaded from the LMFDB on 29 April 2026.
{"Nk2": 3630, "analytic_conductor": 19.060717580211723, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 5, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 6, "char_orbit_label": "f", "char_order": 4, "char_parity": -1, "char_values": [30, 4, [11, 7], [4, 1]], "cm_discs": [], "conrey_index": 7, "dim": 8, "field_disc": 12745506816, "field_disc_factorization": [[2, 16], [3, 4], [7, 4]], "field_poly": [1, 0, 0, 0, 23, 0, 0, 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": [[7, [5933234565224759880674248984336, -163849490646995257975252928, 2262396277287816505472, -19709929340899463456, 43542524436687304, -3050149687984, 100366112, 14168, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 343781933086, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 340122240000, "hecke_ring_index_factorization": [[2, 10], [3, 12], [5, 4]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 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": "30.11.f.a", "level": 30, "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": true, "level_primes": [2, 3, 5], "level_radical": 30, "minimal_twist": "30.11.f.a", "nf_label": "8.0.12745506816.1", "prim_orbit_index": 3, "qexp_display": "q+(-2^{4}+2^{4}\\beta _{1})q^{2}+3\\beta _{2}q^{3}-2^{9}\\beta _{1}q^{4}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "10.2.3.c4", "self_twist_discs": [], "self_twist_type": 0, "space_label": "30.11.f", "trace_display": [-128, 0, -9240, -14168], "trace_hash": 1673656684259693882, "trace_moments": 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