# Data for modular curve with label 30.20.1.a.1, downloaded from the LMFDB on 02 June 2024.
{"label": "30.20.1.a.1", "coarse_level": 30, "coarse_index": 20, "genus": 1, "coarse_label": "30.20.1.a.1", "coarse_class": "30.20.1.a", "coarse_class_num": 1, "coarse_num": 1, "level": 30, "index": 20, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "1.1.1", "generators": [[1, 19, 9, 4], [4, 1, 1, 17], [6, 25, 25, 6]], "canonical_generators": [[0, 7, 7, 16], [1, 0, 10, 1], [1, 10, 0, 1], [2, 9, 9, 4], [2, 19, 29, 14], [10, 21, 9, 25], [11, 10, 20, 21], [22, 21, 15, 13]], "parents": ["5.10.0.a.1", "6.2.0.a.1"], "parents_conj": [[15, 26, 8, 13], [1, 0, 0, 1]], "reductions": ["1.1.0.a.1", "1.1.0.a.1", "5.10.0.a.1", "5.10.0.a.1", "5.10.0.a.1", "6.2.0.a.1"], "factorization": ["5.10.0.a.1", "6.2.0.a.1"], "orbits": [[2, 3, 1], [3, 8, 1], [5, 24, 1], [6, 24, 1], [10, 72, 1], [15, 192, 1], [30, 576, 1]], "kummer_orbits": [[2, 3, 1], [3, 4, 1], [5, 12, 1], [6, 12, 1], [10, 36, 1], [15, 96, 1], [30, 288, 1]], "isogeny_orbits": [[2, 3, 1], [3, 4, 1], [5, 6, 1], [6, 12, 1], [10, 18, 1], [15, 24, 1], [30, 72, 1]], "psl2index": 20, "nu2": 0, "nu3": 2, "cusps": 2, "psl2level": 10, "sl2level": 10, "rational_cusps": 0, "cusp_orbits": [[2, 1]], "cusp_widths": [[10, 2]], "psl2label": "10.20.1.a.1", "sl2label": "10.20.1.a.1", "CPlabel": "10C1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "30.20.1.1", "Glabel": null, "name": null, "rank": 1, "genus_minus_rank": 0, "newforms": ["900.2.a.b"], "dims": [1], "mults": [1], "traces": [0, 0, 0, -2, 0, -2, -6, -4, 6, -6, -4, -2, -6, 10, -6, -6, -12, 2, -2, 12, -2, 8, 6, 6, -2, -6, -14, -6, 2, -6, -2, 0, 18, -4, 6, 20, 22, 10, 18, -6, 12, -10, 12, -26, 18, 8, -16, 10, -6, 14, -6, 24, 14, 0, -6, -18, -18, 20, -26, -6, -14, -30, -2, -12, 22, -6, 8, -2, -30, -10, 18, -24, 22, -26, -28, 6, 6, -2, 30, -34, -36, 26, -36, -2, 8, 6, -6, -26, -30, -14, -30, 24, -26, 0, -4, -18, -6, 6, -14, 14, -26, -30, -18, -30, 8, 22, -6, 18, 0, -10, 22, -2, -6, 20, -28, 18, -14, 42, 42, -36, -22, 46, 18, -42, 8, 30, -34, 24, 46, 22, 20, 6, -4, 22, -42, 2, -30, -26, 42, 6, -16, 54, -38, -30, 2, 48, -50, 18, -4, 6, -26, 18, -14, 18, 46, -12, -16, 42, 22, 18, 18, -6, 22, 24, 18, -18, -4, -26], "trace_hash": 683769149137015578, "simple": true, "squarefree": true, "power": true, "conductor": [[2, 2], [3, 2], [5, 2]], "log_conductor": {"__RealLiteral__": 0, "data": "6.80239476332431075083", "prec": 74}, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 3, 5], "num_bad_primes": 3, "level_radical": 30, "level_is_squarefree": true, "cm_discriminants": [-3, -27], "obstructions": [], "pointless": false, "num_known_degree1_points": 2, "lattice_labels": ["1.1.0.a.1", "5.10.0.a.1", "6.2.0.a.1", "30.20.1.a.1"], "lattice_x": [4398, 7169, 1626, 4398], "curve_label": "900.b4", "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": 2, "num_known_degree1_noncm_points": 2, "models": 1, "all_degree1_points_known": null}