# Stored data for newform 630.2.t.c, downloaded from the LMFDB on 19 April 2024.
{"label": "630.2.t.c", "space_label": "630.2.t", "level": 630, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9008504958354038, "dim": 32, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [7925984784, 0, 163189045440, 0, 1050705410940, 0, 3217093370400, 0, 5386432111513, 0, 5254388595732, 0, 3119062315392, 0, 1172182482200, 0, 287650283280, 0, 47134336614, 0, 5234074446, 0, 396304476, 0, 20357652, 0, 694868, 0, 15033, 0, 186, 0, 1]]], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 63, "char_orbit_label": "t", "char_is_real": false, "Nk2": 2520, "analytic_conductor": 5.030575327340665, "level_radical": 210, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [630, 6, [281, 127, 451], [5, 6, 1]], "inner_twist_count": 2, "level_primes": [2, 3, 5, 7], "conrey_indexes": [311, 551], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 2, 32, -2], "traces": [32, 0, 2, 16, 32, 2, -2, 0, 6, 0, 0, 4, 0, 0, 2, -16, 6, -4, 0, 16, 16, 0, 0, 4, 32, 12, 8, 2, 6, 2, 18, 0, 16, 0, -2, 0, 2, 0, -18, 0, -6, 6, -28, -6, 6, 0, 24, 2, 32, 0, -26, 0, -36, -32, 0, -6, 18, 0, -30, 4, 54, 0, -94, -32, 0, -44, 4, 12, 28, 0, 0, 4, -30, 0, 2, 0, -6, -22, 4, -16, 26, -24, 6, -4, 6, 0, -8, 0, -12, -4, -66, -18, -32, -42, 0, 2, 96, -24, -24, 16, 84, 14, 0, -12, 16, 0, -24, 22, 2, 0, 2, 4, -54, -76, 0, 6, 50, 0, -72, 4, -20, 0, 20, 18, 32, 50, 112, 0, -8, 12, -60, 20, 6, 0, 8, 0, 0, 8, -42, 2, -54, 0, -96, -6, 6, -18, 16, -2, 0, 2, -124, 0, -38, -60, 18, 12, 102, 30, -58, 0, 30, 48, -2, -12, 16, 0, 18, -12, -64, 0, -40, 28, -78, 2, -2, -6, -22, 0, -102, 0, 0, 24, 36, 0, 2, 6, -12, 48, 30, 0, 0, -2, 56, -72, -18, 40, 0, 16, -18, 0, 36, -18, -60, -34, -6, 42, -44, 0, -30, 6, -88, 0, -30, -96, -28, -46, -90, 90, -86, -6, 6, -2, 66, -6, 6, -30, -24, 36, 0, 0, 110, 0, 96, -14, 24, 30, 74, -30, -30, 2, 0, -12, -68, 0, 32, 60, 24, 0, -46, 0, 0, -2, 156, 60, -26, -16, 84, 48, 106, 0, 154, 48, 0, -10, -36, 78, -36, -4, -60, -32, -24, 6, -22, 12, 0, 62, -20, -18, -106, -6, 24, 58, 30, 18, 18, 42, 78, 8, -70, 0, -92, 0, 18, 56, -30, -18, 46, 72, 42, 4, 64, 78, -18, 0, 54, -30, 0, 0, 180, 0, -36, 16, -102, 60, -94, 8, -72, -108, 12, -32, 86, 108, 0, 46, 0, 0, 80, -24, 24, -44, -70, -6, 122, -18, 4, -20, -106, 0, -26, 12, 54, -110, -80, -30, 28, -6, -54, 14, 108, 0, -100, 0, 48, 70, 0, 12, 216, -18, 90, 4, 8, 48, -24, -48, -30, -92, 0, -18, -26, 0, 36, 32, 76, 30, 2, -42, -36, 44, 176, 0, 70, 66, 96, -2, -6, 0, 242, 96, 0, -22, -192, 0, -70, -42, 4, -42, 0, -24, 2, -16, 0, 168, 36, 42, 26, -24, -12, 34, 84, -24, -186, -12, 18, 66, 6, -24, -58, 0, 12, -4, -44, -102, 94, 0, 6, 44, 114, -24, 102, 0, -96, 14, 0, -42, -8, 4, 54, 10, 54, 0, -44, 12, -72, -62, -12, -36, 20, 2, 0, -4, -96, 0, -98, -66, -66, -86, -46, -12, 272, -18, 66, -84, -50, 0, -32, -120, -36, -14, -88, -42, -280, 0, 60, 16, 0, -24, -92, -66, 108, 2, 0, 24, 120, -10, 96, -8, -34, 0, 34, -24, 174, -92, 0, 12, -24, 0, 54, 48, 128, 16, -156, 42, -72, 70, 84, 126, 22, 56, 12, 14, 0, 0, -70, 48, 0, 32, -270, 48, 2, -12, 18, -84, 66, -30, 16, -18, 0, 4, -44, 0, -262, -90, 6, 50, -24, -36, -140, 78, 72, 22, -56, -180, -14, 0, 2, 80, -200, 0, -14, 0, 12, 64, -106, 0, 2, 0, 6, -82, 0, 4, 224, 120, -60, -36, -54, 168, -244, 0, -12, -76, 28, -192, 210, 162, 0, -6, -324, 0, 84, 6, 42, -194, 6, 18, 50, -12, 54, -46, -84, 0, -114, -4, -36, -64, -72, -24, -260, -138, 54, 4, 84, -60, -162, -62, -20, 124, 0, 0, 72, 0, -102, -4, -44, 24, 20, -72, -168, -82, 0, 18, 134, 0, -30, 30, 32, 60, -78, 102, 12, 50, 244, 30, 98, 108, 112, 52, -66, 0, 278, 0, 0, 16, -132, 12, -8, -90, 108, 0, 246, 12, -218, 2, 0, 52, -60, -6, -252, -168, -48, 20, 306, -180, 100, 30, 6, 96, -48, 36, -56, 0, 12, -18, -190, -30, 8, 64, -78, -14, 162, 0, 32, 0, 174, -32, 0, -18, 22, 56, -36, 8, -30, -156, 46, 12, -42, -56, -102, 48, 304, 2, 0, 18, -48, 0, -54, -90, -84, -74, -124, 0, 182, 72, -24, -212, -96, 0, 0, -180, 96, -6, -30, -216, -158, -54, 6, -72, 216, -18, -198, -18, -204, 42, 0, 6, 16, 0, -216, 28, 46, -2, 236, -96, -12, 30, 0, 24, -8, 0, 108, 2, 8, 24, -156, 24, -124, 48, 140, -36, 140, 0, -60, 40, 22, 0, -38, 204, 0, -4, -210, -60, 44, -56, 12, -148, 18, -36, -186, 30, 0, 12, 240, 102, -118, 8, 102, -4, 264, -54, 20, 30, -108, 26, -114, 24, -58, 0, -54, 2, -54, 0, -76, 72, -6, -24, 30, 12, 14, 0, -144, 48, 0, -96, 332, 252, -2, -8, -204, 0, -54, -12, 402, -272, 16, 84, 16, 252, 0, -28, -162, 0, 246, 0, -192, -96, 18, 30, 132, 0, -54, -12, -50, 0, -314, -176, -64, -118, -106, 36, -210, 0, -90, -102, 264, -84, -40, -48, -264, 142, 0, 28, 194, 84, 228, -14, -78, 66, 174, 30, 54, 2, 0, 90, 0, 0, -2, 14, 172, -12, -158, -6, 96, 168, 440, 6, -22, 138, 156, 14, 2, 0, 358, 66, 0, 70, -102, 0, -152, -132, -102, 0, 102, 90, 238, 30, 0, 272, 224, -12, -332, 24, -90, 18, 198, 102, 36, 48, -234, 164, 74, 0, 42, 0, 96, 94, 2, -186, 2, 0, -66, 6, 102, 96, 414, 0, -12, 38, 0, 108, 218, 48, 246, 6, 24, 60, 30, -252, 132, -134, -12, 0, 72, 66, 0, 46, 0, 0, -118, 6, 30, -2, -46, 84, 296, -24, 56, -308, -170, 0, -230, -72, 114, -112, -30, 168, -18, -54, -150, 80, 276, 40, -82, -84, 516, 102, 0, -66, 352, 12, -18, 16, -34, 0, -16, -198, -18, -80, 0, -126, 202, 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, 63, 19, 1, 6, 0]], "char_orbit_index": 20, "prim_orbit_index": 19, "minimal_twist": "630.2.t.c", "char_is_minimal": true, "conrey_index": 311, "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}