# Data for modular curve with label 240.48.0-120.ei.2.6, downloaded from the LMFDB on 23 May 2024.
{"label": "240.48.0-120.ei.2.6", "coarse_level": 120, "coarse_index": 24, "genus": 0, "coarse_label": "120.24.0.ei.2", "coarse_class": "120.24.0.ei", "coarse_class_num": 113, "coarse_num": 2, "level": 240, "index": 48, "fine_num": 6, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[7, 198, 18, 43], [36, 29, 211, 238], [74, 93, 35, 44], [100, 91, 83, 60], [143, 156, 104, 91], [233, 70, 26, 29]], "canonical_generators": [[0, 1, 71, 26], [0, 1, 71, 106], [0, 7, 77, 82], [0, 13, 11, 82], [0, 227, 197, 198], [0, 229, 161, 188], [9, 8, 112, 113], [16, 15, 105, 46], [16, 105, 15, 106], [119, 0, 0, 239], [121, 120, 120, 121], [239, 0, 120, 239], [239, 0, 232, 239], [239, 120, 0, 239], [239, 232, 0, 239]], "parents": ["16.24.0-8.n.1.8", "240.24.0-8.n.1.5"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "4.6.0.c.1", "4.6.0.c.1", "4.6.0.c.1", "8.12.0.n.1", "8.12.0.n.1", "8.12.0.n.1", "16.24.0-8.n.1.8", "16.24.0-8.n.1.8", "16.24.0-8.n.1.8", "120.24.0.ei.2"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 16, 2], [12, 64, 1], [15, 192, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [20, 48, 2], [20, 192, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [30, 192, 1], [30, 384, 1], [40, 96, 2], [40, 192, 1], [40, 768, 1], [48, 64, 2], [48, 128, 1], [48, 256, 1], [48, 1024, 1], [60, 384, 2], [60, 1536, 1], [80, 192, 2], [80, 384, 1], [80, 768, 1], [80, 3072, 1], [120, 768, 2], [120, 1536, 1], [120, 6144, 1], [240, 1536, 2], [240, 3072, 1], [240, 6144, 1], [240, 24576, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 8, 2], [12, 32, 1], [15, 96, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [20, 24, 2], [20, 96, 1], [24, 16, 2], [24, 32, 1], [24, 128, 1], [30, 96, 1], [30, 192, 1], [40, 48, 2], [40, 96, 1], [40, 384, 1], [48, 64, 2], [48, 128, 1], [48, 512, 1], [60, 192, 2], [60, 768, 1], [80, 192, 2], [80, 384, 1], [80, 1536, 1], [120, 384, 2], [120, 768, 1], [120, 3072, 1], [240, 1536, 2], [240, 3072, 1], [240, 12288, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 4, 2], [12, 16, 1], [15, 24, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [20, 6, 2], [20, 24, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1], [30, 24, 1], [30, 48, 1], [40, 6, 2], [40, 12, 1], [40, 48, 1], [48, 8, 2], [48, 16, 1], [48, 64, 1], [60, 24, 2], [60, 96, 1], [80, 12, 2], [80, 24, 1], [80, 96, 1], [120, 24, 2], [120, 48, 1], [120, 192, 1], [240, 48, 2], [240, 96, 1], [240, 384, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 8, "sl2level": 16, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2]], "cusp_widths": [[1, 2], [2, 1], [4, 1], [8, 2]], "psl2label": "8.24.0.c.1", "sl2label": "8.24.0.c.1", "CPlabel": "8I0", "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": 1, "q_gonality_bounds": [1, 1], "qbar_gonality": 1, "qbar_gonality_bounds": [1, 1], "bad_primes": [2, 3, 5], "num_bad_primes": 3, "level_radical": 30, "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"]}