# Data for modular curve with label 60.144.3-60.xu.2.15, downloaded from the LMFDB on 12 June 2024.
{"label": "60.144.3-60.xu.2.15", "coarse_level": 60, "coarse_index": 72, "genus": 3, "coarse_label": "60.72.3.xu.2", "coarse_class": "60.72.3.xu", "coarse_class_num": 619, "coarse_num": 2, "level": 60, "index": 144, "fine_num": 15, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "5.4.1", "generators": [[11, 10, 56, 21], [17, 40, 56, 11], [31, 35, 26, 59], [53, 20, 30, 11]], "canonical_generators": [[0, 19, 11, 58], [0, 19, 17, 22], [0, 59, 31, 38], [0, 59, 41, 38], [0, 59, 49, 20], [1, 0, 20, 1], [1, 20, 0, 1], [20, 39, 21, 8], [21, 20, 40, 41], [38, 51, 9, 50], [40, 9, 51, 28]], "parents": ["10.72.0-10.a.2.4", "60.72.0-10.a.2.7"], "parents_conj": null, "reductions": ["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", "5.12.0.a.1", "5.12.0.a.1", "10.72.0-10.a.2.4", "10.72.0-10.a.2.4", "10.72.0-10.a.2.4"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 4, 1], [4, 8, 1], [5, 2, 2], [5, 20, 1], [6, 8, 1], [6, 16, 1], [10, 2, 6], [10, 20, 1], [10, 40, 1], [12, 32, 1], [12, 64, 1], [15, 16, 2], [15, 160, 1], [20, 8, 6], [20, 80, 1], [20, 160, 1], [30, 16, 6], [30, 160, 1], [30, 320, 1], [60, 64, 6], [60, 640, 1], [60, 1280, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 1], [4, 4, 1], [5, 1, 2], [5, 10, 1], [6, 4, 1], [6, 8, 1], [10, 1, 2], [10, 2, 2], [10, 10, 1], [10, 20, 1], [12, 16, 1], [12, 32, 1], [15, 8, 2], [15, 80, 1], [20, 4, 2], [20, 8, 2], [20, 40, 1], [20, 80, 1], [30, 8, 2], [30, 16, 2], [30, 80, 1], [30, 160, 1], [60, 32, 2], [60, 64, 2], [60, 320, 1], [60, 640, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 1], [4, 4, 1], [5, 1, 1], [5, 5, 1], [6, 4, 1], [6, 8, 1], [10, 1, 1], [10, 2, 1], [10, 5, 1], [10, 10, 1], [12, 8, 1], [12, 16, 1], [15, 4, 1], [15, 20, 1], [20, 2, 1], [20, 4, 1], [20, 10, 1], [20, 20, 1], [30, 4, 1], [30, 8, 1], [30, 20, 1], [30, 40, 1], [60, 8, 1], [60, 16, 1], [60, 40, 1], [60, 80, 1]], "psl2index": 72, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 20, "sl2level": 20, "rational_cusps": 4, "cusp_orbits": [[1, 4], [2, 2]], "cusp_widths": [[2, 2], [4, 2], [10, 2], [20, 2]], "psl2label": "20.72.3.d.1", "sl2label": "20.144.3-20.d.1.3", "CPlabel": "20G3", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "60.144.3.29", "Glabel": null, "name": null, "rank": 0, "genus_minus_rank": 3, "newforms": ["360.2.f.c", "1800.2.a.v"], "dims": [2, 1], "mults": [1, 1], "traces": [0, 0, 2, 4, 4, 2, 2, 12, 4, 6, -8, -6, 2, 8, 4, 6, -20, -22, -8, -16, 6, -32, -16, 18, 14, -18, -4, 0, 26, 18, 12, 12, 10, 4, 46, -32, 2, -16, 12, 14, -28, 34, -8, 14, 22, 24, 4, 4, -24, -14, -6, -32, -42, 52, -30, -12, -26, -8, 10, -46, -8, -26, 8, -80, -26, -18, 44, 14, -16, 26, 2, 8, -20, -22, -60, -36, -66, 2, 10, -18, -12, 2, 8, -2, 40, 24, -6, -10, 54, -12, 8, 48, 20, -28, -20, -12, 70, -30, 8, -6, -8, 14, 16, -14, -36, -2, -48, 18, 104, 46, 12, 42, -6, -12, -64, -6, 48, 12, -34, -60, -14, -18, 22, 24, 116, -10, 114, 64, -44, -30, 12, 36, -56, 10, 82, 38, -42, -8, -18, -126, -100, 14, -4, 48, -22, 88, -38, -6, 84, 12, -46, 10, 16, -20, -48, -136, 56, 90, 38, -74, -8, -6, 36, 52, 2, 36, -104, 42], "trace_hash": 2024337818758770433, "simple": false, "squarefree": true, "power": false, "conductor": [[2, 9], [3, 6], [5, 4]], "log_conductor": {"__RealLiteral__": 0, "data": "19.26775000678456743153", "prec": 77}, "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": 1, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [28, 7, 41, 37], "has_obstruction": -1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null, "coarse_parents": ["10.36.0.a.2", "60.36.1.dm.1", "60.36.2.fr.1"]}