# Stored data for newform 380.2.be.b, downloaded from the LMFDB on 19 April 2024.
{"label": "380.2.be.b", "space_label": "380.2.be", "level": 380, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4505661245227388, "dim": 120, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [21447124258816, 0, -2663623776003072, 0, 3097195194919398912, 0, 25626176313524363264, 0, 161010437157994778640, 0, 2075394353338448443140, 0, 8412908125349159243221, 0, -7873694263481072465421, 0, 295334752895922904244625, 0, 2858678268021093780155686, 0, 6468425613076089388599297, 0, 7269291519570956524130628, 0, 41793476714352906032477979, 0, 33579524147598478814553975, 0, -74407408027594164090913671, 0, 258524471757619613395220637, 0, 588513305311348929807295791, 0, -377327613360027814549287663, 0, -113062710646637490260887444, 0, 1030266616665888583314624891, 0, -512567992964884163114331159, 0, -392924589332738983669527324, 0, 1260118731849465553710076338, 0, -629466994374155718414710733, 0, -238042687210431445415784342, 0, 516052531343970026624527623, 0, -117983623372985463051599097, 0, -99176904613589222761328306, 0, 94509627321990624134248071, 0, -22197387723622835582685540, 0, 2372459579954710175443128, 0, 2454602603099534515968942, 0, -618058132456837464965691, 0, 102470732607507449922138, 0, 47255108856450483699171, 0, -12438693956892443946987, 0, 3041617022227491000354, 0, 345888010287748050690, 0, -104475162664709730546, 0, 31709303133424371539, 0, 2188222671418939428, 0, -599613156593823900, 0, 223653651041659459, 0, 9380829815919117, 0, -2253426762283752, 0, 877644783057902, 0, 33070344180561, 0, -6143411477742, 0, 2429856723021, 0, 85844579676, 0, -12310737048, 0, 3762907413, 0, 130308615, 0, -13998669, 0, 4248290, 0, 100191, 0, -9435, 0, 2456, 0, 48, 0, -3, 0, 1]]], "char_order": 18, "char_parity": 1, "char_degree": 6, "char_conductor": 76, "char_orbit_label": "be", "char_is_real": false, "Nk2": 1520, "analytic_conductor": 3.0343152768086545, "level_radical": 190, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [380, 18, [191, 77, 21], [9, 18, 5]], "inner_twist_count": 4, "level_primes": [2, 5, 19], "conrey_indexes": [51, 71, 91, 211, 231, 371], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 20, "sato_tate_group": "1.2.3.c18", "trace_display": [3, 0, 0, 0], "traces": [120, 3, 0, -3, 0, 3, 0, -36, 6, 3, 0, 0, -12, -18, 0, 9, 48, 0, 0, 0, -12, 0, 0, -18, 0, -24, 0, 69, 0, -12, 0, -27, 6, -18, 0, -72, 0, -48, 0, 0, -36, -27, 0, -99, 60, 27, 0, -63, 60, 0, 0, 33, -24, 21, 0, 0, -48, 0, 0, 6, -24, 54, 0, 84, -18, -132, 0, 66, -72, 36, 0, -42, 0, 66, 0, 180, 60, 114, 0, 27, -66, 33, 0, -144, -48, 75, 0, 9, 0, -3, 0, -42, -144, 0, 0, 78, 42, -87, 0, -3, -12, -81, 0, 69, -12, -21, 0, 6, -24, 0, 0, -105, 0, -243, 0, -111, 48, -27, 0, 18, -36, 36, 0, -75, 60, 81, 0, -39, -6, -15, 0, 0, 180, -30, 0, 24, -78, 60, 0, 15, 0, -150, 0, 78, 0, -159, 0, 78, 24, 3, 0, 192, -60, 111, 0, -108, 42, 159, 0, -45, 30, 297, 0, -63, -12, 30, 0, 39, 108, 0, 0, 108, -120, -30, 0, 60, 36, -138, 0, 72, 24, -87, 0, 192, 18, 9, 0, -123, 0, -45, 0, -147, -84, 63, 0, -144, 12, 297, 0, 0, -90, 171, 0, 9, 54, 87, 0, 0, -450, 0, 0, 264, -72, 18, 0, 189, -252, -117, 0, 24, -108, -120, 0, 195, 6, 159, 0, 189, 96, 54, 0, -30, 90, 465, 0, -54, -84, 81, 0, -171, -90, 156, 0, -78, -78, 0, 0, -84, 180, -3, 0, 78, -108, -138, 0, 225, -120, -216, 0, 6, 0, 39, 0, -216, 0, -282, 0, -279, 60, -147, 0, -96, 24, 144, 0, -183, 66, 72, 0, -45, -114, 90, 0, 0, -18, -186, 0, 333, 168, -42, 0, 177, 108, -252, 0, 36, 270, -198, 0, -3, -12, 309, 0, 315, -48, 366, 0, -36, -12, 0, 0, -378, 216, -153, 0, -90, -78, 21, 0, 18, 432, 0, 0, 72, 12, -108, 0, -60, 114, -18, 0, 342, 90, -15, 0, 333, 162, -294, 0, -30, 0, -432, 0, -357, 0, 240, 0, -492, 168, 0, 0, -369, -144, 108, 0, -225, -84, 6, 0, 0, -180, -384, 0, -102, 54, -78, 0, 132, 0, -66, 0, 66, 0, -384, 0, -9, 144, 153, 0, 6, -48, 219, 0, -228, -18, 249, 0, -216, -24, 114, 0, -468, 438, 36, 0, -165, -312, 0, 0, 24, 78, -465, 0, 141, -78, -327, 0, 246, -108, -48, 0, 282, 120, -414, 0, -153, 0, -135, 0, -129, 192, -135, 0, -387, 6, 225, 0, 183, 180, 162, 0, -240, 12, 168, 0, 0, 480, 288, 0, 156, -198, -93, 0, 336, 90, -375, 0, 69, 108, -39, 0, 45, -180, -96, 0, 219, -72, 528, 0, 33, 96, -15, 0, -306, 144, 105, 0, -405, -12, 135, 0, -213, 330, 0, 0, 60, -366, -168, 0, 117, 228, -168, 0, 357, 42, 51, 0, 396, -240, 30, 0, -192, 0, 108, 0, -180, -180, -180, 0, -6, -48, 279, 0, 120, -12, 288, 0, -15, 144, 48, 0, 0, -774, 42, 0, 18, -90, -390, 0, 30, -72, -708, 0, 3, 0, -435, 0, 528, -66, 72, 0, 240, 288, 522, 0, 3, -210, 303, 0, 0, -156, 216, 0, 81, -24, 231, 0, 18, -408, 0, 0, 420, -96, -246, 0, -24, -282, -153, 0, 105, -30, 105, 0, 612, -114, -138, 0, 48, 0, 36, 0, -312, 192, 543, 0, -306, -48, 513, 0, -111, 264, 729, 0, -210, -96, 231, 0, 0, 396, 12, 0, 186, 246, -252, 0, 186, 1008, -432, 0, 39, 180, -201, 0, 180, -48, 93, 0, 15, -312, -18, 0, 273, -18, 591, 0, -405, 186, -246, 0, -252, 84, 237, 0, -72, 0, 0, 0, -48, 156, -348, 0, 342, 234, -318, 0, 588, 234, -3, 0, -48, 216, 246, 0, -78, 0, -333, 0, -879, -72, -30, 0, 321, -24, 567, 0, 174, -30, 333, 0, -135, -120, 345, 0, 0, -18, -240, 0, 528, 96, -42, 0, 180, -810, -291, 0, -132, -792, -552, 0, -48, 222, 204, 0, 324, 0, 627, 0, -246, -24, 3, 0, -216, -936, -24, 0, -297, -102, 387, 0, -75, -432, 0, 0, -372, -12, 87, 0, 471, -420, 36, 0, 690, 240, 48, 0, 483, -372, -156, 0, -12, 0, -81, 0, -309, 0, 309, 0, -282, -246, 72, 0, -477, 48, 342, 0, -165, 36, -117, 0, 0, 1176, -660, 0, 189, 12, -429, 0, 192, 108, -3, 0, -66, 0, -843, 0, 297, -606, 297, 0, 66, -240, 309, 0, -216, -12, 111, 0, -828, 588, 111, 0, -630, -120, -33, 0, -342, 504, 0, 0, -6, -540, -561, 0, 102, 48, -240, 0, 288, -348, -72, 0, 186, 12, -705, 0, -141, 0, 117, 0, -9, -378, -78, 0, -852, 18, 261, 0, -99, -426, 207, 0, -438, 84, -21, 0, 0, -480, 300, 0, 246, -144, -375, 0, 111, -90, -708, 0, 27, -72, 102, 0, -558, 48, -222, 0, -150, 624, 408, 0, 402, -60, -414, 0, -567, -108, 81, 0, -261, 12, 18, 0, -264, -36, 0, 0, 276, 504, -378, 0, 48, -408, -96, 0, 846, -120, -84, 0, 684, 96, -21, 0, -30, 0, -357, 0, -489, 186, -12, 0, 183, -156, 630, 0, 642, 90, 468, 0, 36, -588, 15, 0, 0, 312, 438, 0, 363, 228, -441, 0, -24, 648, -279, 0, -282, -36, -477, 0, 441, 192, 105, 0, 288, -468, 936, 0, -534, 252, 465, 0, -81, -42, 450, 0, -225, -72, 276, 0, -111, 660, 0, 0, -6, 528, 60, 0, 696, 594, -153, 0, 123, -432, -21, 0, 876, 108, 333, 0, 261, 0, -27, 0, -120, 396, 612, 0, -330, 360, 558, 0, -147, -240, 900, 0, 27, -84, -48, 0, 0, -606, -48, 0, 894, -24, -669, 0, 258, -360, -714, 0, -66, -360, -381, 0, 555, 78, -12, 0, 147, 192, 39, 0, 219, 102, 516, 0, -864, -714, -465, 0, -36], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 19, 6, -1, 18, 0], [1, 1, 76, 11, 1, 18, 0]], "char_orbit_index": 31, "prim_orbit_index": 11, "minimal_twist": "380.2.be.b", "char_is_minimal": true, "conrey_index": 51, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}