# Stored data for newform 1680.2.cz.f, downloaded from the LMFDB on 07 September 2025.
{"Nk2": 6720, "analytic_conductor": 13.414867539575104, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 35, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 78, "char_orbit_label": "cz", "char_order": 4, "char_parity": 1, "char_values": [1680, 4, [1471, 421, 1121, 337, 241], [4, 4, 4, 1, 2]], "cm_discs": [], "conrey_index": 97, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[11, [38848, 40320, -84352, -39744, 49072, 15552, -11456, -2720, 1172, 184, -56, -4, 1]], [13, [2316304384, 4336910336, 4060086272, -5730467840, 2883190784, 677642240, 3303538688, -4519297024, 2677641216, -864534528, 855539712, -953081856, 634910720, -244082688, 60030976, -11300864, 3334784, -1112320, 260608, -34688, 3456, -544, 128, -16, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22523289570117264, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 35, 6, 1, 4, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "1680.2.cz.f", "level": 1680, "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": "840.2.bt.a", "prim_orbit_index": 6, "related_objects": [], "relative_dim": 12, "rm_discs": [], "sato_tate_group": "1.2.3.c4", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1680.2.cz", "trace_display": [0, 0, 0, 4], "traces": [24, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 16, 0, -4, 0, 20, 0, -8, 0, 0, 0, -24, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 16, 0, -4, 0, 24, 0, 36, 0, 0, 0, 16, 0, -28, 0, 4, 0, -8, 0, 0, 0, 0, 0, 24, 0, -16, 0, -8, 0, -8, 0, -28, 0, 0, 0, 20, 0, 0, 0, -24, 0, -64, 0, -20, 0, -20, 0, 16, 0, -24, 0, -12, 0, -24, 0, -28, 0, 0, 0, 0, 0, 4, 0, 0, 0, 24, 0, 0, 0, 0, 0, -16, 0, 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