# Data for modular curve with label 38.1140.81.c.1, downloaded from the LMFDB on 04 June 2024.
{"label": "38.1140.81.c.1", "coarse_level": 38, "coarse_index": 1140, "genus": 81, "coarse_label": "38.1140.81.c.1", "coarse_class": "38.1140.81.c", "coarse_class_num": 3, "coarse_num": 1, "level": 38, "index": 1140, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "1.1.1", "generators": [[18, 25, 33, 20], [36, 7, 13, 12]], "canonical_generators": [[0, 1, 17, 0], [1, 2, 4, 9], [3, 8, 34, 35], [5, 24, 10, 33]], "parents": ["38.6.0.b.1", "38.380.27.b.1", "38.570.36.a.1"], "parents_conj": [[1, 0, 0, 1], [29, 3, 25, 6], [31, 15, 11, 30]], "reductions": ["2.3.0.a.1", "19.190.9.a.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [19, 36, 1], [19, 324, 1], [38, 36, 1], [38, 72, 1], [38, 324, 1], [38, 648, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [19, 18, 1], [19, 162, 1], [38, 18, 1], [38, 36, 1], [38, 162, 1], [38, 324, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [19, 2, 1], [19, 18, 1], [38, 2, 1], [38, 4, 1], [38, 18, 1], [38, 36, 1]], "psl2index": 1140, "nu2": 0, "nu3": 0, "cusps": 30, "psl2level": 38, "sl2level": 38, "rational_cusps": 1, "cusp_orbits": [[1, 1], [2, 1], [9, 1], [18, 1]], "cusp_widths": [[38, 30]], "psl2label": "38.1140.81.a.1", "sl2label": "38.1140.81.a.1", "CPlabel": null, "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "38.1140.81.3", "Glabel": "648.145", "name": null, "rank": 42, "genus_minus_rank": 39, "newforms": ["19.2.a.a", "38.2.a.a", "38.2.a.b", "361.2.a.a", "361.2.a.b", "361.2.a.g", "361.2.a.h", "361.2.a.i", "722.2.a.a", "722.2.a.b", "722.2.a.c", "722.2.a.d", "722.2.a.e", "722.2.a.f", "722.2.a.g", "722.2.a.j", "722.2.a.k", "722.2.a.l", "722.2.a.m", "722.2.a.n", "1444.2.a.a", "1444.2.a.c", "1444.2.a.e", "1444.2.a.g", "1444.2.a.i"], "dims": [1, 1, 1, 1, 1, 3, 3, 4, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 1, 1, 2, 6, 8], "mults": [2, 1, 1, 3, 1, 2, 1, 3, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1], "traces": [-3, -9, 3, -27, -21, -11, 9, 2, -69, -35, -15, -12, -59, 3, -123, -19, -57, 15, 11, -25, 33, -5, -45, -63, 21, 87, 17, -37, -7, -16, 17, -75, 33, -45, 99, -2, 87, 87, -21, -51, -63, -3, -294, 53, 147, -171, 23, 43, -26, 84, 93, -279, 21, -21, -31, -189, -39, -189, 159, -47, 21, -15, 77, -411, 177, 57, 73, 129, 99, 207, 189, -339, -51, 61, 44, 7, 123, 81, -59, -3, -108, 73, -69, 1, 7, 39, -35, -186, 93, 33, 9, -495, -21, -69, 261, -339, -87, -187, -29, -105, -51, 105, -87, -164, 114, -183, 207, 177, -81, -15, -38, -225, -57, 243, -33, -75, 171, -276, 15, -73, -75, 85, -131, 82, 249, 123, -309, -465, -93, 147, 201, 47, -23, -357, -24, 177, -39, -177, -96, -63, -169, 75, 195, 101, -127, -7, 27, -75, 183, -3, -111, 129, 483, -35, -35, -78, -21, 225, -585, -227, 225, 29, 219, -115, 5, 21, -15, -585], "trace_hash": 1979115126172894264, "simple": false, "squarefree": false, "power": false, "conductor": [[2, 72], [19, 158]], "log_conductor": {"__RealLiteral__": 0, "data": "515.12795570861365495947", "prec": 80}, "q_gonality": null, "q_gonality_bounds": [20, 54], "qbar_gonality": null, "qbar_gonality_bounds": [20, 54], "bad_primes": [2, 19], "num_bad_primes": 2, "level_radical": 38, "level_is_squarefree": true, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 0, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [21, 0, 0, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null}