# Data for modular curve with label 48.192.1-48.cl.2.4, downloaded from the LMFDB on 07 June 2024.
{"label": "48.192.1-48.cl.2.4", "coarse_level": 48, "coarse_index": 96, "genus": 1, "coarse_label": "48.96.1.cl.2", "coarse_class": "48.96.1.cl", "coarse_class_num": 64, "coarse_num": 2, "level": 48, "index": 192, "fine_num": 4, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[1, 47, 16, 19], [7, 35, 12, 31], [37, 47, 32, 35]], "canonical_generators": [[1, 0, 1, 37], [1, 0, 16, 1], [1, 0, 18, 1], [1, 16, 0, 1], [1, 16, 5, 21], [17, 16, 32, 33], [25, 0, 18, 25], [41, 0, 30, 41], [41, 40, 45, 1], [45, 32, 43, 35]], "parents": ["16.96.1-16.s.2.3", "24.96.0-24.bk.2.3", "48.96.0-24.bk.2.6", "48.96.0-48.x.1.7", "48.96.0-48.x.1.10", "48.96.0-48.bg.2.4", "48.96.0-48.bg.2.11", "48.96.0-48.bj.1.3", "48.96.0-48.bj.1.8", "48.96.1-16.s.2.2", "48.96.1-48.r.1.4", "48.96.1-48.r.1.11", "48.96.1-48.bj.2.9", "48.96.1-48.bj.2.14"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.12.0-4.c.1.2", "4.12.0-4.c.1.2", "8.48.0-8.ba.2.6", "16.96.1-16.s.2.3", "24.96.0-24.bk.2.3"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 1], [6, 16, 1], [8, 4, 4], [8, 16, 2], [12, 16, 2], [12, 32, 2], [16, 8, 2], [16, 16, 3], [16, 64, 2], [24, 32, 4], [24, 128, 2], [48, 64, 2], [48, 128, 3], [48, 512, 2]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [12, 8, 2], [12, 32, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [24, 16, 2], [24, 32, 1], [24, 128, 1], [48, 64, 2], [48, 128, 1], [48, 512, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [12, 4, 2], [12, 16, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1], [48, 8, 2], [48, 16, 1], [48, 64, 1]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 16, "sl2level": 16, "rational_cusps": 0, "cusp_orbits": [[4, 4]], "cusp_widths": [[2, 8], [4, 4], [16, 4]], "psl2label": "16.96.1.a.1", "sl2label": "16.192.1-16.a.1.2", "CPlabel": "16M1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "48.192.1.2117", "Glabel": null, "name": null, "rank": 0, "genus_minus_rank": 1, "newforms": ["64.2.a.a"], "dims": [1], "mults": [1], "traces": [0, 0, 2, 0, 0, -6, 2, 0, 0, 10, 0, 2, 10, 0, 0, -14, 0, 10, 0, 0, -6, 0, 0, 10, 18, 2, 0, 0, -6, -14, 0, 0, -22, 0, -14, 0, -22, 0, 0, 26, 0, 18, 0, -14, 2, 0, 0, 0, 0, -30, 26, 0, -30, 0, 2, 0, 26, 0, 18, 10, 0, 34, 0, 0, 26, -22, 0, 18, 0, 10, 34, 0, 0, -14, 0, 0, 34, -38, 2, -6, 0, -30, 0, 34, 0, 0, -14, 42, -38, 0, 0, 0, 0, 0, 0, 0, 10, -22, 0, 42, 0, -38, 0, 26, 0, 2, 0, -46, 0, 10, 0, 34, -38, 0, 0, 50, 0, 0, 26, 0, 50, -46, 2, 0, 0, 10, -30, 0, 0, -54, 0, 0, 0, 18, -38, 50, 34, 0, -22, 10, 0, 50, 0, 0, -54, 0, -46, 58, 0, 0, 58, 50, 0, 0, 0, 0, 0, -46, -38, 58, 0, 26, 0, 0, -62, 0, 0, -62], "trace_hash": 439256381361310617, "simple": true, "squarefree": true, "power": true, "conductor": [[2, 6]], "log_conductor": {"__RealLiteral__": 0, "data": "4.15888308335967185650", "prec": 74}, "q_gonality": null, "q_gonality_bounds": [2, 4], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 3], "num_bad_primes": 2, "level_radical": 6, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [0], "pointless": true, "num_known_degree1_points": 0, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [13, 13, 35, 34], "has_obstruction": 1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null, "coarse_parents": ["16.48.1.s.2", "24.48.0.bk.2", "48.48.0.x.1", "48.48.0.bg.2", "48.48.0.bj.1", "48.48.1.r.1", "48.48.1.bj.2"]}