# Data for modular curve with label 56.12.0-4.a.1.1, downloaded from the LMFDB on 21 May 2024.
{"label": "56.12.0-4.a.1.1", "coarse_level": 4, "coarse_index": 6, "genus": 0, "coarse_label": "4.6.0.a.1", "coarse_class": "4.6.0.a", "coarse_class_num": 1, "coarse_num": 1, "level": 56, "index": 12, "fine_num": 1, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[17, 26, 44, 45], [26, 25, 33, 34], [30, 45, 49, 20], [40, 39, 39, 24]], "canonical_generators": [[1, 0, 4, 1], [1, 0, 42, 1], [1, 4, 0, 1], [1, 42, 0, 1], [5, 4, 52, 53], [8, 49, 49, 50], [27, 0, 0, 55], [39, 0, 0, 55], [43, 42, 42, 43]], "parents": [], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.a.1", "4.6.0.a.1", "4.6.0.a.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [7, 48, 1], [8, 16, 1], [8, 32, 1], [14, 48, 1], [14, 96, 1], [28, 192, 1], [28, 384, 1], [56, 768, 1], [56, 1536, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [7, 24, 1], [8, 8, 1], [8, 16, 1], [14, 24, 1], [14, 48, 1], [28, 96, 1], [28, 192, 1], [56, 384, 1], [56, 768, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [7, 8, 1], [8, 4, 1], [8, 8, 1], [14, 8, 1], [14, 16, 1], [28, 16, 1], [28, 32, 1], [56, 32, 1], [56, 64, 1]], "psl2index": 6, "nu2": 0, "nu3": 0, "cusps": 3, "psl2level": 2, "sl2level": 4, "rational_cusps": 1, "cusp_orbits": [[1, 1], [2, 1]], "cusp_widths": [[2, 3]], "psl2label": "2.6.0.a.1", "sl2label": "4.12.0-2.a.1.1", "CPlabel": "2C0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "56.12.0.37", "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": 1, "q_gonality_bounds": [1, 1], "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": [-4], "obstructions": [], "pointless": false, "num_known_degree1_points": 11630, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": 11629, "num_known_degree1_noncm_points": 11628, "models": null, "all_degree1_points_known": null, "coarse_parents": ["2.3.0.a.1", "4.2.0.a.1"]}