# Data for modular curve with label 312.192.1-312.oi.1.8, downloaded from the LMFDB on 01 June 2024.
{"label": "312.192.1-312.oi.1.8", "coarse_level": 312, "coarse_index": 96, "genus": 1, "coarse_label": "312.96.1.oi.1", "coarse_class": "312.96.1.oi", "coarse_class_num": 373, "coarse_num": 1, "level": 312, "index": 192, "fine_num": 8, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[15, 28, 238, 131], [99, 268, 16, 171], [235, 236, 230, 99], [259, 272, 210, 193]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 156, 1], [1, 4, 16, 3], [1, 4, 40, 267], [1, 4, 88, 147], [1, 8, 0, 1], [9, 8, 304, 305], [233, 0, 156, 233], [305, 308, 258, 19], [307, 308, 238, 91], [309, 308, 230, 11]], "parents": ["24.96.0-24.w.2.1", "104.96.1-104.bj.1.2", "312.96.0-24.w.2.10", "312.96.0-312.bm.1.16", "312.96.0-312.bm.1.19", "312.96.0-312.bn.2.10", "312.96.0-312.bn.2.20", "312.96.0-312.ct.1.2", "312.96.0-312.ct.1.27", "312.96.1-104.bj.1.1", "312.96.1-312.dq.2.15", "312.96.1-312.dq.2.29", "312.96.1-312.fe.1.8", "312.96.1-312.fe.1.21"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "4.12.0.b.1", "4.12.0.b.1", "8.48.0-8.e.2.6", "12.24.0-4.b.1.3", "12.24.0-4.b.1.3", "24.96.0-24.w.2.1", "104.96.1-104.bj.1.2"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [8, 2, 4], [8, 8, 1], [8, 16, 2], [12, 16, 2], [12, 32, 2], [13, 168, 1], [24, 16, 4], [24, 64, 1], [24, 128, 2], [26, 168, 3], [39, 1344, 1], [52, 336, 2], [52, 672, 2], [78, 1344, 3], [104, 336, 4], [104, 1344, 1], [104, 2688, 2], [156, 2688, 2], [156, 5376, 2], [312, 2688, 4], [312, 10752, 1], [312, 21504, 2]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 1], [8, 8, 2], [12, 8, 2], [12, 16, 2], [13, 84, 1], [24, 16, 2], [24, 32, 1], [24, 64, 2], [26, 84, 3], [39, 672, 1], [52, 168, 2], [52, 336, 2], [78, 672, 3], [104, 336, 2], [104, 672, 1], [104, 1344, 2], [156, 1344, 2], [156, 2688, 2], [312, 2688, 2], [312, 5376, 1], [312, 10752, 2]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 2], [12, 4, 2], [12, 8, 2], [13, 14, 1], [24, 8, 2], [24, 16, 2], [26, 14, 3], [39, 56, 1], [52, 14, 2], [52, 28, 2], [78, 56, 3], [104, 28, 2], [104, 56, 2], [156, 56, 2], [156, 112, 2], [312, 112, 2], [312, 224, 2]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 2], [4, 3]], "cusp_widths": [[4, 8], [8, 8]], "psl2label": "8.96.1.a.1", "sl2label": "8.96.1.a.1", "CPlabel": "8K1", "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": null, "q_gonality_bounds": [2, 96], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 3, 13], "num_bad_primes": 3, "level_radical": 78, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": null, "num_known_degree1_points": null, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": null, "num_known_degree1_noncm_points": null, "models": null, "all_degree1_points_known": null, "coarse_parents": ["24.48.0.w.2", "104.48.1.bj.1", "312.48.0.bm.1", "312.48.0.bn.2", "312.48.0.ct.1", "312.48.1.dq.2", "312.48.1.fe.1"]}