# Stored data for newform 51.4.i.a, downloaded from the LMFDB on 07 June 2024. {"Nk2": 816, "analytic_conductor": 3.0090974102927714, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 51, "char_degree": 8, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 9, "char_orbit_label": "i", "char_order": 16, "char_parity": 1, "char_values": [51, 16, [35, 37], [8, 5]], "cm_discs": [], "conrey_index": 5, "dim": 128, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 549822922803, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 17, 5, -1, 16, 0], [1, 1, 51, 9, 1, 16, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "51.4.i.a", "level": 51, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": 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"projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}