# Stored data for newform 300.2.w.a, downloaded from the LMFDB on 19 April 2024. {"label": "300.2.w.a", "space_label": "300.2.w", "level": 300, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1511862042924, "dim": 240, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 20, "char_parity": 1, "char_degree": 8, "char_conductor": 100, "char_orbit_label": "w", "char_is_real": false, "Nk2": 1200, "analytic_conductor": 2.3955120606384117, "level_radical": 30, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [300, 20, [151, 101, 277], [10, 20, 13]], "inner_twist_count": 4, "level_primes": [2, 3, 5], "conrey_indexes": [67, 103, 127, 163, 187, 223, 247, 283], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 30, "sato_tate_group": "1.2.3.c20", "trace_display": [0, 0, 0, 0], "traces": [240, 0, 0, 0, 0, 0, 0, 12, 0, 8, 0, 8, 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400, 0, 328, 0, -380, 0, -584, 356, 180, 0, 580, 288, -740, 0, 328, 180, -216, 0, -380, 528, 240, 0, 16, 240, -368, 0, 32, 224, 0, 0, 80, 444, 552, 0, 120, 60, -52, 0, 360, 60, 420, 0, -372, 480, 72, 0, 92, 224, -620, 0, 300, 132, 144, 0, -592], "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, 4, 2, -1, 2, 0], [1, 1, 25, 6, -1, 20, 0], [1, 1, 100, 12, 1, 20, 0]], "char_orbit_index": 23, "prim_orbit_index": 12, "minimal_twist": "300.2.w.a", "char_is_minimal": true, "conrey_index": 67, "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}