# Stored data for newform 2736.2.cg.a, downloaded from the LMFDB on 19 April 2024.
{"label": "2736.2.cg.a", "space_label": "2736.2.cg", "level": 2736, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 3985763207856, "dim": 24, "analytic_rank": 0, "is_twist_minimal": true, "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 228, "char_orbit_label": "cg", "char_is_real": false, "Nk2": 10944, "analytic_conductor": 21.847069993022313, "level_radical": 114, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [2736, 6, [1711, 2053, 1217, 1009], [3, 6, 3, 4]], "inner_twist_count": 4, "level_primes": [2, 3, 19], "conrey_indexes": [1151, 2591], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 0, 0, 0], "traces": [24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -188, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, -296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -300, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 420, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -396, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 456, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 292, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 416, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 468, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 276, 0, 0, 0, 0, 0, 472, 0, 0, 0, 0, 0, 456, 0, 0, 0, 0, 0, -328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 188, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 300, 0, 0, 0, 0, 0, -292, 0, 0, 0, 0, 0, -276, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, -276, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 564, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 376, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 420, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, -340, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -244, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -684, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -804, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 600, 0, 0, 0, 0, 0, 808, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 376, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 680, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -420, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 408, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, -236, 0, 0, 0, 0, 0, -552, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 552, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 708, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 340, 0, 0, 0, 0, 0, -468, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -400, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, -492, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -696, 0, 0, 0, 0, 0, 396, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -264, 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, 3, 2, -1, 2, 0], [1, 1, 76, 7, -1, 6, 0], [1, 1, 228, 13, 1, 6, 0]], "char_orbit_index": 59, "prim_orbit_index": 13, "minimal_twist": "2736.2.cg.a", "char_is_minimal": true, "conrey_index": 1151, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "hecke_cutters": 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}