# Data for modular curve with label 204.24.0.g.1, downloaded from the LMFDB on 09 June 2024. {"label": "204.24.0.g.1", "coarse_level": 204, "coarse_index": 24, "genus": 0, "coarse_label": "204.24.0.g.1", "coarse_class": "204.24.0.g", "coarse_class_num": 7, "coarse_num": 1, "level": 204, "index": 24, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "1.1.1", "generators": [[27, 74, 196, 51], [171, 124, 8, 81], [185, 138, 16, 149], [189, 16, 202, 25]], "canonical_generators": [[1, 0, 4, 1], [1, 2, 52, 123], [1, 2, 120, 55], [1, 4, 0, 1], [1, 4, 80, 51], [1, 4, 114, 17], [1, 4, 128, 21], [5, 4, 200, 201], [103, 0, 0, 103]], "parents": ["12.12.0.b.1", "68.12.0.b.1", "204.12.0.a.1"], "parents_conj": [[58, 65, 153, 146], [177, 167, 134, 37], [1, 0, 0, 1]], "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "12.12.0.b.1", "68.12.0.b.1"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 4, 3], [6, 8, 3], [12, 32, 3], [17, 288, 1], [34, 288, 3], [51, 2304, 1], [68, 1152, 3], [102, 2304, 3], [204, 9216, 3]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [12, 16, 3], [17, 144, 1], [34, 144, 3], [51, 1152, 1], [68, 576, 3], [102, 1152, 3], [204, 4608, 3]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [12, 8, 3], [17, 18, 1], [34, 18, 3], [51, 72, 1], [68, 36, 3], [102, 72, 3], [204, 144, 3]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 4, "sl2level": 4, "rational_cusps": 0, "cusp_orbits": [[2, 3]], "cusp_widths": [[4, 6]], "psl2label": "4.24.0.a.1", "sl2label": "4.24.0.a.1", "CPlabel": "4G0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": null, "dims": null, "mults": null, "traces": null, "trace_hash": null, "simple": null, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": null, "q_gonality_bounds": [1, 2], "qbar_gonality": 1, "qbar_gonality_bounds": [1, 1], "bad_primes": [2, 3, 17], "num_bad_primes": 3, "level_radical": 102, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": null, "num_known_degree1_points": null, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": null, "num_known_degree1_noncm_points": null, "models": null, "all_degree1_points_known": null}