# Data for modular curve with label 312.96.1.cz.1, downloaded from the LMFDB on 02 June 2024.
{"label": "312.96.1.cz.1", "coarse_level": 312, "coarse_index": 96, "genus": 1, "coarse_label": "312.96.1.cz.1", "coarse_class": "312.96.1.cz", "coarse_class_num": 78, "coarse_num": 1, "level": 312, "index": 96, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "8.2.2", "generators": [[1, 44, 84, 283], [55, 60, 108, 169], [79, 36, 276, 263], [193, 120, 188, 205], [217, 52, 92, 235], [247, 264, 288, 161]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 156, 1], [1, 4, 16, 3], [1, 4, 40, 267], [1, 4, 88, 69], [1, 4, 88, 147], [1, 4, 88, 303], [1, 8, 0, 1], [1, 8, 120, 299], [9, 8, 304, 305], [79, 0, 156, 79]], "parents": ["8.48.0.c.1", "312.48.0.b.2", "312.48.0.cc.1", "312.48.0.ce.1", "312.48.1.o.2", "312.48.1.dx.2", "312.48.1.dz.2"], "parents_conj": [[229, 78, 0, 307], [191, 65, 273, 308], [125, 182, 117, 307], [1, 0, 0, 1], [1, 0, 0, 1], [224, 195, 195, 224], [191, 65, 273, 308]], "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", "4.24.0.b.1", "4.24.0.b.1", "4.24.0.b.1", "4.24.0.b.1", "8.48.0.c.1", "8.48.0.c.1", "8.48.0.c.1"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 4], [4, 4, 1], [6, 8, 3], [8, 4, 4], [8, 8, 2], [8, 16, 1], [12, 16, 4], [12, 32, 1], [13, 168, 1], [24, 32, 4], [24, 64, 2], [24, 128, 1], [26, 168, 3], [39, 1344, 1], [52, 336, 4], [52, 672, 1], [78, 1344, 3], [104, 672, 4], [104, 1344, 2], [104, 2688, 1], [156, 2688, 4], [156, 5376, 1], [312, 5376, 4], [312, 10752, 2], [312, 21504, 1]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 4], [4, 2, 1], [6, 4, 3], [8, 2, 4], [8, 4, 2], [8, 8, 1], [12, 8, 4], [12, 16, 1], [13, 84, 1], [24, 16, 4], [24, 32, 2], [24, 64, 1], [26, 84, 3], [39, 672, 1], [52, 168, 4], [52, 336, 1], [78, 672, 3], [104, 336, 4], [104, 672, 2], [104, 1344, 1], [156, 1344, 4], [156, 2688, 1], [312, 2688, 4], [312, 5376, 2], [312, 10752, 1]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 4], [4, 2, 1], [6, 4, 3], [8, 2, 4], [8, 4, 1], [12, 4, 4], [12, 8, 1], [13, 14, 1], [24, 8, 4], [24, 16, 1], [26, 14, 3], [39, 56, 1], [52, 14, 4], [52, 28, 1], [78, 56, 3], [104, 28, 4], [104, 56, 1], [156, 56, 4], [156, 112, 1], [312, 112, 4], [312, 224, 1]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 6], [4, 1]], "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}