# Data for modular curve with label 40.240.8-40.n.2.12, downloaded from the LMFDB on 03 June 2024.
{"label": "40.240.8-40.n.2.12", "coarse_level": 40, "coarse_index": 120, "genus": 8, "coarse_label": "40.120.8.n.2", "coarse_class": "40.120.8.n", "coarse_class_num": 14, "coarse_num": 2, "level": 40, "index": 240, "fine_num": 12, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[1, 28, 4, 15], [9, 4, 14, 1], [9, 24, 4, 21], [25, 16, 16, 37], [31, 24, 20, 33]], "canonical_generators": [[1, 2, 12, 25], [1, 4, 8, 31], [3, 2, 24, 9], [7, 14, 8, 39], [37, 36, 24, 23], [37, 38, 36, 31], [39, 34, 8, 39], [39, 34, 16, 15], [39, 38, 8, 15]], "parents": ["8.48.0-8.e.1.15", "40.120.4-20.b.1.10", "40.120.4-20.b.1.17"], "parents_conj": null, "reductions": ["2.6.0.a.1", "4.12.0.b.1", "5.5.0.a.1", "8.48.0-8.e.1.15", "10.30.2.a.1", "20.60.4.b.1"], "factorization": ["5.5.0.a.1", "8.48.0-8.e.1.15"], "orbits": [[2, 1, 3], [4, 2, 2], [4, 4, 2], [5, 24, 1], [8, 8, 6], [10, 24, 3], [20, 48, 2], [20, 96, 2], [40, 192, 6]], "kummer_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 12, 1], [8, 4, 4], [8, 8, 1], [10, 12, 3], [20, 24, 2], [20, 48, 2], [40, 96, 4], [40, 192, 1]], "isogeny_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 6, 1], [8, 2, 2], [8, 4, 2], [10, 6, 3], [20, 6, 2], [20, 12, 2], [40, 12, 2], [40, 24, 2]], "psl2index": 120, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 40, "sl2level": 40, "rational_cusps": 4, "cusp_orbits": [[1, 4], [2, 1]], "cusp_widths": [[10, 2], [20, 3], [40, 1]], "psl2label": "40.120.8.a.1", "sl2label": "40.240.8-40.a.1.2", "CPlabel": "40D8", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "40.240.8.103", "Glabel": null, "name": null, "rank": 0, "genus_minus_rank": 8, "newforms": ["50.2.a.b", "200.2.a.e", "200.2.d.a", "200.2.d.c"], "dims": [1, 1, 2, 2], "mults": [3, 1, 1, 1], "traces": [2, 0, 0, -4, -8, 8, 4, 16, 0, -8, 8, 0, -8, 8, -60, -24, 8, 16, 40, 44, -52, 4, 40, 44, 0, -48, 52, 24, -16, 24, 0, 24, -56, 24, 8, 60, 8, -40, 12, 64, -64, 8, -72, 76, 56, -16, -40, -48, -24, 64, -24, 28, -4, 96, 8, 24, -16, -56, -104, -96, -32, -16, -64, -44, -56, -48, 24, 56, -8, -48, -56, 84, 40, -88, -80, -108, 120, 80, 60, 40, -48, -96, -100, 44, -108, 48, -60, -160, 48, 40, -8, 80, -16, 72, 56, -96, -56, 16, -88, 64, -32, -8, 104, 64, -104, 24, 96, 128, 156, -28, -56, 72, 0, 104, 112, 128, 24, 48, 16, 24, 120, -112, 176, 120, 32, 8, 32, -92, -180, -24, 72, -48, 140, -128, -176, -44, 72, 136, -168, -152, -40, 88, -136, 96, 40, 144, -56, 120, 56, 60, 80, -120, -128, 64, 72, 184, -96, 80, -44, 40, 104, 104, -184, -40, -28, -52, -44, 96], "trace_hash": 1175398646171324710, "simple": false, "squarefree": false, "power": false, "conductor": [[2, 18], [5, 16]], "log_conductor": {"__RealLiteral__": 0, "data": "38.22765584902462156312", "prec": 77}, "q_gonality": null, "q_gonality_bounds": [3, 5], "qbar_gonality": null, "qbar_gonality_bounds": [3, 5], "bad_primes": [2, 5], "num_bad_primes": 2, "level_radical": 10, "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": [4, 3, 5, 36], "has_obstruction": -1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null, "coarse_parents": ["8.24.0.e.1", "20.60.4.b.1"]}