# Stored data for newform 510.2.l.g, downloaded from the LMFDB on 19 June 2024. {"Nk2": 2040, "analytic_conductor": 4.0723705030853, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 15, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 12, "char_orbit_label": "l", "char_order": 4, "char_parity": 1, "char_values": [510, 4, [341, 307, 241], [2, 1, 4]], "cm_discs": [], "conrey_index": 137, "dim": 28, "has_non_self_twist": 1, "hecke_cutters": [[7, [2420000, -2244000, 1040400, 98240, 287592, -225352, 87316, -2672, 1584, -1408, 632, -8, 2, -2, 1]], [23, [959512576, 0, 0, 0, 1840597770496, 0, 0, 0, 1969317828224, 0, 0, 0, 309746053520, 0, 0, 0, 2956073312, 0, 0, 0, 7875112, 0, 0, 0, 5392, 0, 0, 0, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27022353712022014, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 15, 5, 1, 4, 0]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "510.2.l.g", "level": 510, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": true, "level_primes": [2, 3, 5, 17], "level_radical": 510, "minimal_twist": "510.2.l.g", "prim_orbit_index": 5, "related_objects": [], "relative_dim": 14, "rm_discs": [], "sato_tate_group": "1.2.3.c4", "self_twist_discs": [], "self_twist_type": 0, "space_label": "510.2.l", "trace_display": [0, 0, 0, 4], "traces": [28, 0, 0, 0, 0, 0, 4, 0, 0, -12, 0, 0, -8, 0, 8, -28, 0, -16, 0, 0, 48, 20, 0, 0, 40, 0, -36, 4, 0, -12, 16, 0, 8, 0, 0, 0, 8, 0, 0, -8, 0, -48, 48, 0, 36, -64, 0, 0, 0, 0, 0, 8, 0, 0, -36, 0, -32, 20, 0, 12, -16, 0, -56, 0, 0, 32, 112, 0, 0, -28, 0, 16, 12, 0, 16, -8, 0, -32, 0, 0, -48, 24, 0, 0, -12, 0, -44, 20, 0, -20, -80, 0, 28, 0, 0, 0, 60, 0, 0, -28, 0, 0, -12, 0, 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"hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}