# Data for modular curve with label 276.192.1-276.m.1.4, downloaded from the LMFDB on 11 June 2024.
{"label": "276.192.1-276.m.1.4", "coarse_level": 276, "coarse_index": 96, "genus": 1, "coarse_label": "276.96.1.m.1", "coarse_class": "276.96.1.m", "coarse_class_num": 13, "coarse_num": 1, "level": 276, "index": 192, "fine_num": 4, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "12.4.1", "generators": [[91, 228, 139, 271], [187, 168, 229, 157], [211, 132, 226, 149]], "canonical_generators": [[1, 0, 12, 1], [1, 0, 230, 1], [1, 12, 0, 1], [1, 12, 15, 185], [13, 12, 264, 265], [229, 0, 46, 229], [271, 0, 275, 133], [271, 264, 247, 187], [271, 264, 269, 61]], "parents": ["12.96.0-12.c.3.3", "276.96.0-12.c.3.8", "276.96.0-276.c.1.8", "276.96.0-276.c.1.14", "276.96.1-276.l.1.3", "276.96.1-276.l.1.12"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "3.8.0-3.a.1.1", "3.8.0-3.a.1.1", "4.6.0.c.1", "6.24.0-6.a.1.2", "6.24.0-6.a.1.2", "12.96.0-12.c.3.3", "92.12.0.h.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 3, 2], [4, 2, 2], [4, 8, 1], [6, 2, 1], [6, 3, 2], [6, 4, 1], [6, 6, 2], [12, 4, 2], [12, 6, 4], [12, 8, 2], [12, 24, 2], [23, 528, 1], [46, 528, 1], [46, 1056, 1], [69, 1056, 1], [69, 1584, 2], [92, 1056, 2], [92, 4224, 1], [138, 1056, 1], [138, 1584, 2], [138, 2112, 1], [138, 3168, 2], [276, 2112, 2], [276, 3168, 4], [276, 4224, 2], [276, 12672, 2]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 24, 1], [23, 264, 1], [46, 264, 1], [46, 528, 1], [69, 528, 1], [69, 1584, 1], [92, 528, 2], [92, 2112, 1], [138, 528, 1], [138, 1056, 1], [138, 1584, 1], [138, 3168, 1], [276, 1056, 2], [276, 2112, 2], [276, 3168, 2], [276, 12672, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 1, 2], [12, 3, 2], [12, 4, 1], [12, 12, 1], [23, 24, 1], [46, 24, 1], [46, 48, 1], [69, 24, 1], [69, 72, 1], [92, 24, 2], [92, 96, 1], [138, 24, 1], [138, 48, 1], [138, 72, 1], [138, 144, 1], [276, 24, 2], [276, 72, 2], [276, 96, 1], [276, 288, 1]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 12, "sl2level": 12, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 3], [4, 2]], "cusp_widths": [[2, 4], [4, 4], [6, 4], [12, 4]], "psl2label": "12.96.1.a.1", "sl2label": "12.96.1.a.1", "CPlabel": "12V1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": null, "dims": [1], "mults": [1], "traces": null, "trace_hash": null, "simple": true, "squarefree": true, "power": true, "conductor": null, "log_conductor": null, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "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": ["12.48.0.c.3", "276.48.0.c.1", "276.48.1.l.1"]}