# Data for modular curve with label 276.48.0-276.q.1.2, downloaded from the LMFDB on 04 June 2024.
{"label": "276.48.0-276.q.1.2", "coarse_level": 276, "coarse_index": 24, "genus": 0, "coarse_label": "276.24.0.q.1", "coarse_class": "276.24.0.q", "coarse_class_num": 17, "coarse_num": 1, "level": 276, "index": 48, "fine_num": 2, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[49, 194, 220, 117], [54, 85, 29, 76], [117, 44, 52, 227], [270, 23, 41, 48]], "canonical_generators": [[0, 1, 67, 240], [0, 1, 113, 10], [0, 1, 251, 10], [0, 1, 251, 82], [0, 275, 5, 90], [1, 0, 12, 1], [1, 12, 0, 1], [13, 12, 264, 265], [24, 115, 161, 70], [24, 253, 23, 70], [252, 115, 161, 22]], "parents": ["12.24.0-6.a.1.6", "138.24.0-6.a.1.3"], "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", "3.4.0.a.1", "3.4.0.a.1", "6.12.0.a.1", "12.24.0-6.a.1.6", "138.24.0-6.a.1.3"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [23, 528, 1], [46, 528, 1], [46, 1056, 1], [69, 1056, 1], [69, 3168, 1], [92, 2112, 1], [92, 4224, 1], [138, 1056, 1], [138, 2112, 1], [138, 3168, 1], [138, 6336, 1], [276, 4224, 1], [276, 8448, 1], [276, 12672, 1], [276, 25344, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [23, 264, 1], [46, 264, 1], [46, 528, 1], [69, 528, 1], [69, 1584, 1], [92, 1056, 1], [92, 2112, 1], [138, 528, 1], [138, 1056, 1], [138, 1584, 1], [138, 3168, 1], [276, 2112, 1], [276, 4224, 1], [276, 6336, 1], [276, 12672, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [23, 24, 1], [46, 24, 1], [46, 48, 1], [69, 24, 1], [69, 72, 1], [92, 48, 1], [92, 96, 1], [138, 24, 1], [138, 48, 1], [138, 72, 1], [138, 144, 1], [276, 48, 1], [276, 96, 1], [276, 144, 1], [276, 288, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 12, "sl2level": 12, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2]], "cusp_widths": [[1, 2], [3, 2], [4, 1], [12, 1]], "psl2label": "12.24.0.a.1", "sl2label": "12.24.0.a.1", "CPlabel": "12E0", "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": 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, 23], "num_bad_primes": 3, "level_radical": 138, "level_is_squarefree": false, "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": ["6.12.0.a.1", "276.6.0.b.1"]}