# Data for modular curve with label 312.288.15.cyb.1, downloaded from the LMFDB on 02 June 2024.
{"label": "312.288.15.cyb.1", "coarse_level": 312, "coarse_index": 288, "genus": 15, "coarse_label": "312.288.15.cyb.1", "coarse_class": "312.288.15.cyb", "coarse_class_num": 1978, "coarse_num": 1, "level": 312, "index": 288, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "8.2.2", "generators": [[7, 24, 20, 209], [81, 100, 100, 305], [97, 20, 80, 125], [97, 276, 188, 89], [151, 106, 292, 141], [265, 84, 168, 67]], "canonical_generators": [[1, 0, 24, 1], [1, 4, 172, 159], [1, 4, 196, 111], [1, 4, 244, 303], [1, 4, 292, 195], [1, 8, 276, 143], [1, 24, 0, 1], [1, 26, 104, 209], [1, 182, 104, 209], [1, 260, 104, 209], [7, 10, 244, 219], [25, 24, 288, 289], [79, 26, 104, 287]], "parents": ["24.144.8.er.1", "312.144.7.baj.2", "312.144.7.bak.1", "312.144.7.bii.1", "312.144.8.gs.2", "312.144.8.gt.1", "312.144.8.ou.1"], "parents_conj": [[1, 0, 0, 1], [23, 179, 296, 193], [1, 0, 0, 1], [85, 0, 78, 163], [1, 0, 0, 1], [1, 0, 0, 1], [101, 257, 66, 223]], "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "3.3.0.a.1", "3.3.0.a.1", "4.12.0.b.1", "4.12.0.b.1", "6.18.1.a.1", "6.18.1.a.1", "8.24.0.e.2", "8.24.0.e.2", "12.36.2.b.1", "12.36.2.b.1", "24.144.8.er.1"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [8, 4, 2], [8, 8, 1], [8, 16, 2], [12, 16, 2], [12, 32, 2], [13, 168, 1], [24, 32, 2], [24, 64, 1], [24, 128, 2], [26, 168, 3], [39, 1344, 1], [52, 336, 2], [52, 672, 2], [78, 1344, 3], [104, 672, 2], [104, 1344, 1], [104, 2688, 2], [156, 2688, 2], [156, 5376, 2], [312, 5376, 2], [312, 10752, 1], [312, 21504, 2]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 1], [8, 8, 2], [12, 8, 2], [12, 16, 2], [13, 84, 1], [24, 16, 2], [24, 32, 1], [24, 64, 2], [26, 84, 3], [39, 672, 1], [52, 168, 2], [52, 336, 2], [78, 672, 3], [104, 336, 2], [104, 672, 1], [104, 1344, 2], [156, 1344, 2], [156, 2688, 2], [312, 2688, 2], [312, 5376, 1], [312, 10752, 2]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 2], [12, 4, 2], [12, 8, 2], [13, 14, 1], [24, 8, 2], [24, 16, 2], [26, 14, 3], [39, 56, 1], [52, 14, 2], [52, 28, 2], [78, 56, 3], [104, 28, 2], [104, 56, 2], [156, 56, 2], [156, 112, 2], [312, 112, 2], [312, 224, 2]], "psl2index": 288, "nu2": 0, "nu3": 0, "cusps": 20, "psl2level": 24, "sl2level": 24, "rational_cusps": 0, "cusp_orbits": [[2, 2], [4, 2], [8, 1]], "cusp_widths": [[6, 8], [12, 4], [24, 8]], "psl2label": "24.288.15.g.1", "sl2label": "24.288.15.g.1", "CPlabel": "24E15", "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": false, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": null, "q_gonality_bounds": [4, 28], "qbar_gonality": null, "qbar_gonality_bounds": [4, 15], "bad_primes": [2, 3, 13], "num_bad_primes": 3, "level_radical": 78, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [0, 19, 61, 103], "pointless": true, "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}