# Data for modular curve with label 204.48.0-204.t.1.12, downloaded from the LMFDB on 05 June 2024.
{"label": "204.48.0-204.t.1.12", "coarse_level": 204, "coarse_index": 24, "genus": 0, "coarse_label": "204.24.0.t.1", "coarse_class": "204.24.0.t", "coarse_class_num": 20, "coarse_num": 1, "level": 204, "index": 48, "fine_num": 12, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[57, 50, 56, 27], [74, 187, 9, 100], [119, 118, 194, 57], [170, 171, 9, 32]], "canonical_generators": [[0, 1, 83, 22], [0, 199, 65, 46], [0, 203, 19, 80], [0, 203, 37, 152], [0, 203, 173, 186], [1, 0, 12, 1], [1, 12, 0, 1], [13, 12, 192, 193], [84, 187, 17, 118], [120, 85, 119, 154], [120, 187, 17, 154]], "parents": ["12.24.0-6.a.1.6", "204.24.0-6.a.1.1"], "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", "6.12.0.a.1", "12.24.0-6.a.1.6"], "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], [17, 288, 1], [34, 288, 1], [34, 576, 1], [51, 576, 1], [51, 1728, 1], [68, 1152, 1], [68, 2304, 1], [102, 576, 1], [102, 1152, 1], [102, 1728, 1], [102, 3456, 1], [204, 2304, 1], [204, 4608, 1], [204, 6912, 1], [204, 13824, 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], [17, 144, 1], [34, 144, 1], [34, 288, 1], [51, 288, 1], [51, 864, 1], [68, 576, 1], [68, 1152, 1], [102, 288, 1], [102, 576, 1], [102, 864, 1], [102, 1728, 1], [204, 1152, 1], [204, 2304, 1], [204, 3456, 1], [204, 6912, 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], [17, 18, 1], [34, 18, 1], [34, 36, 1], [51, 18, 1], [51, 54, 1], [68, 36, 1], [68, 72, 1], [102, 18, 1], [102, 36, 1], [102, 54, 1], [102, 108, 1], [204, 36, 1], [204, 72, 1], [204, 108, 1], [204, 216, 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, 17], "num_bad_primes": 3, "level_radical": 102, "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", "204.6.0.c.1"]}