# Data for modular curve with label 240.96.1-240.b.1.2, downloaded from the LMFDB on 11 June 2024. {"label": "240.96.1-240.b.1.2", "coarse_level": 240, "coarse_index": 48, "genus": 1, "coarse_label": "240.48.1.b.1", "coarse_class": "240.48.1.b", "coarse_class_num": 2, "coarse_num": 1, "level": 240, "index": 96, "fine_num": 2, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[17, 76, 56, 191], [101, 120, 60, 61], [109, 172, 154, 95], [121, 76, 146, 39], [141, 28, 164, 139], [233, 144, 36, 217]], "canonical_generators": [[1, 0, 16, 1], [1, 0, 210, 1], [1, 4, 72, 35], [1, 4, 80, 51], [1, 16, 0, 1], [1, 16, 6, 145], [1, 16, 26, 225], [1, 16, 50, 21], [5, 8, 18, 157], [17, 16, 224, 225], [89, 0, 30, 89], [121, 0, 210, 121], [181, 0, 210, 61]], "parents": ["8.48.0-8.i.1.2", "240.48.0-8.i.1.6", "240.48.0-240.q.1.15", "240.48.0-240.q.1.18", "240.48.1-240.d.1.13", "240.48.1-240.d.1.20"], "parents_conj": null, "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", "4.24.0-4.b.1.1", "4.24.0-4.b.1.1", "4.24.0-4.b.1.1", "4.24.0-4.b.1.1", "8.48.0-8.i.1.2", "8.48.0-8.i.1.2", "8.48.0-8.i.1.2", "8.48.0-8.i.1.2", "8.48.0-8.i.1.2", "8.48.0-8.i.1.2", "8.48.0-8.i.1.2"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 6], [5, 24, 1], [6, 8, 3], [8, 4, 4], [8, 8, 4], [10, 24, 3], [12, 16, 6], [15, 192, 1], [16, 16, 4], [16, 32, 4], [20, 48, 6], [24, 32, 4], [24, 64, 4], [30, 192, 3], [40, 96, 4], [40, 192, 4], [48, 128, 4], [48, 256, 4], [60, 384, 6], [80, 384, 4], [80, 768, 4], [120, 768, 4], [120, 1536, 4], [240, 3072, 4], [240, 6144, 4]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [5, 12, 1], [6, 4, 3], [8, 2, 2], [8, 4, 1], [8, 8, 2], [10, 12, 3], [12, 8, 2], [12, 16, 2], [15, 96, 1], [16, 8, 2], [16, 16, 1], [16, 32, 2], [20, 24, 2], [20, 48, 2], [24, 16, 2], [24, 32, 1], [24, 64, 2], [30, 96, 3], [40, 48, 2], [40, 96, 1], [40, 192, 2], [48, 64, 2], [48, 128, 1], [48, 256, 2], [60, 192, 2], [60, 384, 2], [80, 192, 2], [80, 384, 1], [80, 768, 2], [120, 384, 2], [120, 768, 1], [120, 1536, 2], [240, 1536, 2], [240, 3072, 1], [240, 6144, 2]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [5, 6, 1], [6, 4, 3], [8, 1, 2], [8, 2, 1], [8, 4, 2], [10, 6, 3], [12, 4, 2], [12, 8, 2], [15, 24, 1], [16, 2, 2], [16, 4, 1], [16, 8, 2], [20, 6, 2], [20, 12, 2], [24, 4, 2], [24, 8, 1], [24, 16, 2], [30, 24, 3], [40, 6, 2], [40, 12, 1], [40, 24, 2], [48, 8, 2], [48, 16, 1], [48, 32, 2], [60, 24, 2], [60, 48, 2], [80, 12, 2], [80, 24, 1], [80, 48, 2], [120, 24, 2], [120, 48, 1], [120, 96, 2], [240, 48, 2], [240, 96, 1], [240, 192, 2]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 16, "sl2level": 16, "rational_cusps": 4, "cusp_orbits": [[1, 4], [4, 1]], "cusp_widths": [[2, 4], [4, 2], [16, 2]], "psl2label": "16.48.1.a.1", "sl2label": "16.48.1.a.1", "CPlabel": "16E1", "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, 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": ["8.24.0.i.1", "240.24.0.q.1", "240.24.1.d.1"]}