# Data for modular curve with label 208.48.1-208.a.1.1, downloaded from the LMFDB on 04 June 2024. {"label": "208.48.1-208.a.1.1", "coarse_level": 208, "coarse_index": 24, "genus": 1, "coarse_label": "208.24.1.a.1", "coarse_class": "208.24.1.a", "coarse_class_num": 1, "coarse_num": 1, "level": 208, "index": 48, "fine_num": 1, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[0, 157, 15, 170], [21, 192, 24, 77], [29, 198, 92, 75], [87, 136, 32, 119], [97, 80, 60, 173]], "canonical_generators": [[0, 1, 127, 70], [0, 1, 127, 86], [0, 1, 191, 134], [0, 1, 205, 148], [0, 3, 21, 66], [0, 3, 25, 70], [1, 0, 16, 1], [1, 16, 0, 1], [17, 16, 192, 193], [64, 13, 91, 38], [144, 65, 143, 118], [144, 117, 195, 118]], "parents": ["16.24.0-8.n.1.8", "104.24.0-8.n.1.12"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "4.6.0.c.1", "8.12.0.n.1", "16.24.0-8.n.1.8", "104.24.0-8.n.1.12"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [13, 168, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [26, 168, 1], [26, 336, 1], [52, 336, 2], [52, 1344, 1], [104, 672, 2], [104, 1344, 1], [104, 5376, 1], [208, 1344, 2], [208, 2688, 1], [208, 5376, 1], [208, 21504, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [13, 84, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [26, 84, 1], [26, 168, 1], [52, 168, 2], [52, 672, 1], [104, 336, 2], [104, 672, 1], [104, 2688, 1], [208, 1344, 2], [208, 2688, 1], [208, 10752, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [13, 14, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [26, 14, 1], [26, 28, 1], [52, 14, 2], [52, 56, 1], [104, 14, 2], [104, 28, 1], [104, 112, 1], [208, 28, 2], [208, 56, 1], [208, 224, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 16, "sl2level": 16, "rational_cusps": 4, "cusp_orbits": [[1, 4]], "cusp_widths": [[2, 2], [4, 1], [16, 1]], "psl2label": "16.24.1.a.1", "sl2label": "16.24.1.a.1", "CPlabel": "16A1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": null, "dims": [1], "mults": [1], "traces": null, "trace_hash": null, "simple": true, "squarefree": true, "power": true, "conductor": null, "log_conductor": null, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 13], "num_bad_primes": 2, "level_radical": 26, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": null, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": 0, "num_known_degree1_noncusp_points": null, "num_known_degree1_noncm_points": null, "models": null, "all_degree1_points_known": null, "coarse_parents": ["8.12.0.n.1"]}