# Data for modular curve with label 282.72.0-6.a.1.1, downloaded from the LMFDB on 06 June 2024.
{"label": "282.72.0-6.a.1.1", "coarse_level": 6, "coarse_index": 36, "genus": 0, "coarse_label": "6.36.0.a.1", "coarse_class": "6.36.0.a", "coarse_class_num": 1, "coarse_num": 1, "level": 282, "index": 72, "fine_num": 1, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[101, 6, 180, 137], [191, 252, 239, 67], [221, 126, 27, 269]], "canonical_generators": [[1, 0, 6, 1], [1, 0, 141, 1], [1, 0, 235, 95], [1, 6, 0, 1], [7, 6, 276, 277], [89, 0, 0, 281], [187, 0, 141, 187]], "parents": ["141.24.0-3.a.1.1", "282.24.0-6.a.1.1", "282.24.0-6.a.1.2"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "3.12.0.a.1", "6.36.0.a.1", "141.24.0-3.a.1.1"], "factorization": ["2.3.0.a.1", "141.24.0-3.a.1.1"], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 2], [3, 4, 1], [6, 2, 2], [6, 4, 3], [6, 8, 1], [47, 2208, 1], [94, 2208, 1], [94, 4416, 1], [141, 4416, 2], [141, 8832, 1], [282, 4416, 2], [282, 8832, 3], [282, 17664, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 2], [3, 2, 1], [6, 1, 2], [6, 2, 3], [6, 4, 1], [47, 1104, 1], [94, 1104, 1], [94, 2208, 1], [141, 2208, 2], [141, 4416, 1], [282, 2208, 2], [282, 4416, 3], [282, 8832, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 2], [3, 2, 1], [6, 1, 2], [6, 2, 3], [6, 4, 1], [47, 48, 1], [94, 48, 1], [94, 96, 1], [141, 48, 2], [141, 96, 1], [282, 48, 2], [282, 96, 3], [282, 192, 1]], "psl2index": 36, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 6, "sl2level": 6, "rational_cusps": 4, "cusp_orbits": [[1, 4], [2, 2]], "cusp_widths": [[3, 4], [6, 4]], "psl2label": "6.36.0.a.1", "sl2label": "6.36.0.a.1", "CPlabel": "6K0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": [], "dims": null, "mults": null, "traces": [], "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, 47], "num_bad_primes": 3, "level_radical": 282, "level_is_squarefree": true, "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": ["3.12.0.a.1", "6.12.0.a.1", "6.18.0.b.1"]}