# Stored data for abelian variety isogeny class 2.59.ax_jp, downloaded from the LMFDB on 09 February 2026.
{"abvar_count": 2351, "abvar_counts": [2351, 12015961, 42374779001, 146977372478045, 511175360036549296, 1779208165421819491321, 6193382765446071642071981, 21559173551192166099779277845, 75047494833018384627963417459731, 261240335097212214370899083083292416], "abvar_counts_str": "2351 12015961 42374779001 146977372478045 511175360036549296 1779208165421819491321 6193382765446071642071981 21559173551192166099779277845 75047494833018384627963417459731 261240335097212214370899083083292416 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.193213474443255, 0.263794663844564], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 37, "curve_counts": [37, 3451, 206323, 12129483, 715006272, 42180788431, 2488650099553, 146830411343523, 8662995619992187, 511116752503609206], "curve_counts_str": "37 3451 206323 12129483 715006272 42180788431 2488650099553 146830411343523 8662995619992187 511116752503609206 ", "curves": ["y^2=40*x^6+36*x^5+34*x^4+18*x^3+3*x^2+34*x+50", "y^2=15*x^6+25*x^5+25*x^4+24*x^3+25*x^2+24*x+37", "y^2=39*x^6+30*x^5+15*x^4+51*x^3+18*x^2+12*x+12", "y^2=8*x^6+56*x^5+4*x^4+47*x^3+2*x^2+9*x+44", "y^2=52*x^6+26*x^5+58*x^4+55*x^3+33*x^2+21*x+2", "y^2=32*x^6+50*x^5+41*x^4+50*x^3+45*x^2+13*x+10", "y^2=10*x^6+27*x^5+55*x^4+12*x^3+43*x^2+53*x+33", "y^2=44*x^6+15*x^5+25*x^4+15*x^3+40*x^2+44*x+25"], "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, "endomorphism_ring_count": 1, "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": ["4.0.246125.1"], "geometric_splitting_field": "4.0.246125.1", "geometric_splitting_polynomials": [[631, -11, 51, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 8, "label": "2.59.ax_jp", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.246125.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -23, 249, -1357, 3481], "poly_str": "1 -23 249 -1357 3481 ", "primitive_models": [], "q": 59, "real_poly": [1, -23, 131], "simple_distinct": ["2.59.ax_jp"], "simple_factors": ["2.59.ax_jpA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.246125.1", "splitting_polynomials": [[631, -11, 51, -1, 1]], "twist_count": 2, "twists": [["2.59.x_jp", "2.3481.abf_jrp", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 9845, "zfv_singular_count": 0, "zfv_singular_primes": []}