# Stored data for newform 245.2.e.i, downloaded from the LMFDB on 21 November 2025.
{"Nk2": 980, "analytic_conductor": 1.9563348495213695, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 7, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 3, "char_parity": 1, "char_values": [245, 3, [197, 101], [3, 2]], "cm_discs": [], "conrey_index": 116, "dim": 4, "field_disc": 2601, "field_disc_factorization": [[3, 2], [17, 2]], "field_poly": [16, 4, 5, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [[2, [16, 4, 5, -1, 1]], [3, [16, 4, 5, -1, 1]]], "hecke_orbit": 9, "hecke_orbit_code": 36029071930425589, "hecke_ring_generator_nbound": 4, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "245.2.e.i", "level": 245, "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": false, "level_primes": [5, 7], "level_radical": 35, "minimal_twist": "35.2.a.b", "nf_label": "4.0.2601.1", "prim_orbit_index": 3, "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{1}-\\beta _{2}+\\beta _{3})q^{3}+(-2+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "245.2.e", "trace_display": [1, 1, -2, 0], "trace_hash": 1677552085090504418, "trace_moments": [{"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "3.868", "prec": 17}, {"__RealLiteral__": 0, "data": "0.831", "prec": 17}, {"__RealLiteral__": 0, "data": "54.801", 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