# Stored data for abelian variety isogeny class 2.131.abo_ze, downloaded from the LMFDB on 01 November 2025.
{"abvar_count": 12536, "abvar_counts": [12536, 289531456, 5051125076984, 86730324300637184, 1488376396692829099576, 25542025920150506370565696, 438326874185472307022724044216, 7522128106624933784297232044539904, 129087241798387683438931327009714172024, 2215266158666307914564047715586625560064576], "abvar_counts_str": "12536 289531456 5051125076984 86730324300637184 1488376396692829099576 25542025920150506370565696 438326874185472307022724044216 7522128106624933784297232044539904 129087241798387683438931327009714172024 2215266158666307914564047715586625560064576 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0235496779948426, 0.229984320500189], "center_dim": 4, "curve_count": 92, "curve_counts": [92, 16870, 2246852, 294500334, 38579473452, 5053910740246, 662062559772692, 86730202464162654, 11361656642558724092, 1488377021629244382150], "curve_counts_str": "92 16870 2246852 294500334 38579473452 5053910740246 662062559772692 86730202464162654 11361656642558724092 1488377021629244382150 ", "curves": ["y^2=127*x^6+112*x^5+121*x^4+73*x^3+104*x^2+124*x+79", "y^2=47*x^6+92*x^5+15*x^4+118*x^3+106*x^2+37*x+70", "y^2=67*x^6+106*x^5+16*x^4+114*x^3+60*x^2+73*x+75", "y^2=18*x^6+82*x^5+73*x^4+73*x^3+119*x^2+125*x+62", "y^2=115*x^6+78*x^5+70*x^4+57*x^3+43*x^2+2*x+59", "y^2=9*x^6+27*x^5+105*x^4+128*x^3+8*x^2+30*x+124", "y^2=67*x^6+65*x^5+19*x^4+115*x^3+78*x^2+74*x+116", "y^2=75*x^6+51*x^5+114*x^4+120*x^3+97*x^2+78*x+67", "y^2=4*x^6+11*x^5+127*x^4+11*x^3+100*x^2+116*x+30", "y^2=96*x^6+76*x^5+43*x^4+125*x^3+55*x^2+29*x+103", "y^2=127*x^6+50*x^5+123*x^4+38*x^3+46*x^2+68*x+46", "y^2=77*x^6+87*x^5+47*x^4+x^3+43*x^2+119*x+66", "y^2=72*x^6+49*x^5+10*x^4+112*x^3+27*x^2+49*x+8", "y^2=13*x^6+76*x^5+35*x^4+86*x^3+13*x^2+74*x+101"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.10496.2"], "geometric_splitting_field": "4.0.10496.2", "geometric_splitting_polynomials": [[14, -4, 6, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 14, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 14, "label": "2.131.abo_ze", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.10496.2"], "p": 131, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -40, 654, -5240, 17161], "poly_str": "1 -40 654 -5240 17161 ", "primitive_models": [], "q": 131, "real_poly": [1, -40, 392], "simple_distinct": ["2.131.abo_ze"], "simple_factors": ["2.131.abo_zeA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.10496.2", "splitting_polynomials": [[14, -4, 6, 0, 1]], "twist_count": 2, "twists": [["2.131.bo_ze", "2.17161.alg_cljq", 2]]}