# Stored data for newform 513.2.t.a, downloaded from the LMFDB on 06 September 2025.
{"Nk2": 2052, "analytic_conductor": 4.096325623691683, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 171, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 20, "char_orbit_label": "t", "char_order": 6, "char_parity": 1, "char_values": [513, 6, [191, 325], [5, 1]], "cm_discs": [], "conrey_index": 179, "dim": 36, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1305703612929, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 171, 20, 1, 6, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "513.2.t.a", "level": 513, "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": [3, 19], "level_radical": 57, "minimal_twist": "171.2.k.a", "prim_orbit_index": 20, "related_objects": [], "relative_dim": 18, "rm_discs": [], "sato_tate_group": "1.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "513.2.t", "trace_display": [6, 0, 3, -1], "traces": [36, 6, 0, 30, 3, 0, -1, 12, 0, -6, 9, 0, 0, 3, 0, 18, -27, 0, 1, -9, 0, -6, 0, 0, 11, 0, 0, 2, 12, 0, -12, 30, 0, -21, 15, 0, 0, 36, 0, -30, -18, 0, -6, 66, 0, 0, -45, 0, -9, 3, 0, 0, -12, 0, -7, 6, 0, -6, 9, 0, 8, -12, 0, 12, -18, 0, 0, -60, 0, -24, 9, 0, -18, 0, 0, 10, 6, 0, 0, -12, 0, -9, 9, 0, -22, -102, 0, -3, -18, 0, 27, 0, 0, -12, 21, 0, 0, -84, 0, -13, -60, 0, 21, 0, 0, 6, 60, 0, -6, -30, 0, -7, 0, 0, 20, -18, 0, -3, 0, 0, 11, 6, 0, -57, 0, 0, -24, -18, 0, -12, 105, 0, -12, 0, 0, -96, 42, 0, -22, 9, 0, -15, -6, 0, 0, -60, 0, 0, -57, 0, 72, -90, 0, -24, 180, 0, 5, 0, 0, -153, 105, 0, 8, 24, 0, 84, 42, 0, 24, 42, 0, 6, -108, 0, 62, 138, 0, 36, -48, 0, -6, 84, 0, 0, -18, 0, 74, -153, 0, 15, 30, 0, -18, 0, 0, 0, 0, 0, 15, 117, 0, -12, 114, 0, 24, 141, 0, 0, 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"trace_zratio": null}