# Data for modular curve with label 56.24.0.bm.1, downloaded from the LMFDB on 11 June 2024.
{"label": "56.24.0.bm.1", "coarse_level": 56, "coarse_index": 24, "genus": 0, "coarse_label": "56.24.0.bm.1", "coarse_class": "56.24.0.bm", "coarse_class_num": 39, "coarse_num": 1, "level": 56, "index": 24, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "1.1.1", "generators": [[4, 19, 49, 10], [27, 20, 4, 51], [30, 51, 27, 2], [32, 11, 13, 2]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 42, 1], [1, 4, 1, 7], [1, 8, 0, 1], [1, 8, 10, 33], [1, 8, 11, 49], [1, 8, 26, 21], [1, 8, 26, 49], [9, 8, 48, 49], [29, 0, 42, 29], [43, 0, 42, 43]], "parents": ["8.12.0.o.1", "28.12.0.g.1", "56.12.0.z.1"], "parents_conj": [[13, 41, 13, 40], [1, 0, 0, 1], [55, 42, 26, 5]], "reductions": ["1.1.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "8.12.0.o.1", "14.6.0.b.1", "28.12.0.g.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [7, 48, 1], [8, 8, 2], [8, 32, 1], [14, 48, 1], [14, 96, 1], [28, 96, 2], [28, 384, 1], [56, 384, 2], [56, 1536, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 24, 1], [8, 4, 2], [8, 16, 1], [14, 24, 1], [14, 48, 1], [28, 48, 2], [28, 192, 1], [56, 192, 2], [56, 768, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 8, 1], [8, 2, 2], [8, 8, 1], [14, 8, 1], [14, 16, 1], [28, 8, 2], [28, 32, 1], [56, 16, 2], [56, 64, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 3]], "cusp_widths": [[2, 4], [8, 2]], "psl2label": "8.24.0.b.1", "sl2label": "8.24.0.b.1", "CPlabel": "8G0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "56.24.0.187", "Glabel": null, "name": null, "rank": 0, "genus_minus_rank": 0, "newforms": [], "dims": null, "mults": null, "traces": [], "trace_hash": 0, "simple": null, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 1, "qbar_gonality_bounds": [1, 1], "bad_primes": [2, 7], "num_bad_primes": 2, "level_radical": 14, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [0], "pointless": true, "num_known_degree1_points": 0, "lattice_labels": ["1.1.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "8.12.0.o.1", "14.2.0.a.1", "14.6.0.b.1", "28.6.0.d.1", "28.12.0.g.1", "56.12.0.z.1", "56.24.0.bm.1"], "lattice_x": [2473, 3964, 6764, 6400, 982, 1164, 3782, 3782, 9018, 6400], "curve_label": null, "canonical_conjugator": [22, 1, 1, 55], "has_obstruction": 1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": 1, "all_degree1_points_known": null}