# Data for modular curve with label 40.120.4-40.bq.1.13, downloaded from the LMFDB on 11 June 2024.
{"label": "40.120.4-40.bq.1.13", "coarse_level": 40, "coarse_index": 60, "genus": 4, "coarse_label": "40.60.4.bq.1", "coarse_class": "40.60.4.bq", "coarse_class_num": 43, "coarse_num": 1, "level": 40, "index": 120, "fine_num": 13, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[3, 27, 16, 31], [19, 14, 28, 21], [21, 39, 8, 29], [37, 34, 12, 27]], "canonical_generators": [[0, 3, 13, 6], [0, 3, 33, 26], [0, 7, 33, 22], [0, 9, 7, 2], [0, 27, 37, 14], [0, 39, 1, 14], [0, 39, 9, 38], [0, 39, 11, 24]], "parents": ["20.60.2-20.c.1.1", "40.24.0-8.o.1.8", "40.60.2-20.c.1.5"], "parents_conj": null, "reductions": ["2.3.0.a.1", "4.6.0.c.1", "5.5.0.a.1", "8.12.0.o.1", "10.15.1.a.1", "20.60.2-20.c.1.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [8, 8, 2], [8, 32, 1], [10, 24, 1], [10, 48, 1], [20, 48, 2], [20, 192, 1], [40, 192, 2], [40, 768, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [8, 4, 2], [8, 16, 1], [10, 12, 1], [10, 24, 1], [20, 24, 2], [20, 96, 1], [40, 96, 2], [40, 384, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [8, 2, 2], [8, 8, 1], [10, 6, 1], [10, 12, 1], [20, 6, 2], [20, 24, 1], [40, 12, 2], [40, 48, 1]], "psl2index": 60, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 40, "sl2level": 40, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 1]], "cusp_widths": [[5, 2], [10, 1], [40, 1]], "psl2label": "40.60.4.a.1", "sl2label": "40.120.4-40.a.1.3", "CPlabel": "40B4", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "40.120.4.164", "Glabel": null, "name": null, "rank": 1, "genus_minus_rank": 3, "newforms": ["50.2.a.b", "400.2.a.a", "400.2.a.f"], "dims": [1, 1, 1], "mults": [2, 1, 1], "traces": [2, -4, 0, 0, -4, 8, 4, 4, -8, -8, -8, 0, -12, 8, -8, -24, -8, 16, 12, 24, -36, -16, -4, 36, 8, -48, 8, -12, -16, 36, -8, 24, -4, -4, 8, 0, 8, -4, -24, 64, 4, 8, -8, 68, 56, 48, -12, 0, -24, 64, -24, -24, 44, 12, 24, 24, -16, 8, -104, -56, -12, -16, -4, -32, -56, -48, 44, 20, 20, -48, -8, 48, 48, -88, -20, 0, 120, 80, 12, 4, -12, -96, 16, 52, -56, -12, -84, -52, 48, -32, -40, 8, -40, -24, 24, 0, -56, -44, -76, 64, -36, -8, -8, -28, -8, 52, 36, -12, 0, 4, -32, 72, 72, -24, -8, 120, -8, 0, 16, 36, 120, -72, 176, 36, 36, 8, 32, -16, -24, -24, 8, 24, 8, -128, -12, 28, 72, -24, -168, -72, -72, 88, 32, 36, 40, 16, -56, 12, -36, 72, 80, -24, -36, 16, 40, -16, 24, 88, 44, 40, 88, 156, -32, 28, -188, 0, -96, 96], "trace_hash": 1730430966257400140, "simple": false, "squarefree": false, "power": false, "conductor": [[2, 10], [5, 8]], "log_conductor": {"__RealLiteral__": 0, "data": "19.80697510507225609098", "prec": 77}, "q_gonality": null, "q_gonality_bounds": [3, 4], "qbar_gonality": null, "qbar_gonality_bounds": [3, 4], "bad_primes": [2, 5], "num_bad_primes": 2, "level_radical": 10, "level_is_squarefree": false, "cm_discriminants": [-16], "obstructions": [], "pointless": false, "num_known_degree1_points": 1, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [31, 0, 5, 31], "has_obstruction": -1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null, "coarse_parents": ["8.12.0.o.1", "20.30.2.c.1"]}