# Stored data for newform 350.2.m.a, downloaded from the LMFDB on 19 April 2024. {"label": "350.2.m.a", "space_label": "350.2.m", "level": 350, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 824667275614, "dim": 24, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [400, -2800, -200, 34400, -27540, -96160, 371390, -279550, 59031, -72750, 125487, -60870, -6212, 8960, 5839, -3430, -1865, 1560, 119, -390, 88, 30, -13, 0, 1]]], "char_order": 10, "char_parity": 1, "char_degree": 4, "char_conductor": 25, "char_orbit_label": "m", "char_is_real": false, "Nk2": 1400, "analytic_conductor": 2.7947640707448134, "level_radical": 70, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [350, 10, [127, 101], [1, 10]], "inner_twist_count": 2, "level_primes": [2, 5, 7], "conrey_indexes": [29, 169, 239, 309], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], 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6, 310, -60, 12, -150, -136, 70, 70, 40, 20, -114, 0, 140, 166, -60, 78, -30, 330, -20, 270, -16, -40, 0, -68, 50, 166, -180, -160, 40, 280, 120, -40, 20, -30, 120, 22, 0, 90, 4, -60, -62, -20, -20, 10, -50, -98, -30, 0, -20, -60, 28, -190, -120, 224, -70, 388, -40, 0, 38, -120, 142, 0, -270, 24, 40, 64, 80, -160, -80, 300, -30, -190, 0, -66, 80, -28, 150, -100, -172, -290, -104, 50, -130, -40, 0, -62, 0, -60, -22, -150, -38, 30, -120, -90, -20, -106, 30, 0, 32, -20, 72, -160, -90, 12, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 25, 5, 1, 10, 0]], "char_orbit_index": 13, "prim_orbit_index": 5, "minimal_twist": "350.2.m.a", "char_is_minimal": true, "conrey_index": 29, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}