# Stored data for abelian variety isogeny class 2.13.ad_r, downloaded from the LMFDB on 24 December 2025.
{"abvar_count": 145, "abvar_counts": [145, 33205, 4846045, 820329525, 138532768000, 23292423217645, 3935521193060245, 665395988477163525, 112456200359182040545, 19004922348465889792000], "abvar_counts_str": "145 33205 4846045 820329525 138532768000 23292423217645 3935521193060245 665395988477163525 112456200359182040545 19004922348465889792000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.264943912836779, 0.582772800110671], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 11, "curve_counts": [11, 195, 2207, 28723, 373106, 4825635, 62718947, 815705443, 10604574191, 137858191350], "curve_counts_str": "11 195 2207 28723 373106 4825635 62718947 815705443 10604574191 137858191350 ", "curves": ["y^2=7*x^6+10*x^5+7*x^4+3*x^3+6*x^2+x+1", "y^2=11*x^5+6*x^4+5*x^3+6*x^2+8*x+7", "y^2=2*x^6+5*x^5+5*x^4+4*x^3+12*x^2+8*x+11", "y^2=7*x^6+3*x^4+3*x^3+7*x^2+9*x+6", "y^2=10*x^6+7*x^5+11*x^4+10*x^3+6*x^2+2*x+8", "y^2=x^6+6*x^5+8*x^4+10*x^3+x^2+9*x+2", "y^2=8*x^6+12*x^5+x^4+4*x^3+12*x^2+3*x+9", "y^2=5*x^5+4*x^4+10*x^3+12*x^2+7*x+4", "y^2=6*x^6+3*x^5+8*x^4+11*x^3+6*x^2+4*x+3", "y^2=10*x^6+11*x^5+7*x^4+11*x^3+9*x^2+10*x+2", "y^2=8*x^5+9*x^4+6*x^3+6*x^2+12*x+6", "y^2=5*x^6+x^5+11*x^4+5*x^3+3*x^2+12*x+4", "y^2=7*x^6+2*x^5+3*x^4+x^3+8*x^2+7", "y^2=9*x^6+11*x^4+6*x^3+9*x^2+4*x+2", "y^2=3*x^6+4*x^5+9*x^4+9*x^3+x+11"], "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": 2, "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": ["4.0.34525.1"], "geometric_splitting_field": "4.0.34525.1", "geometric_splitting_polynomials": [[95, -15, 19, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 15, "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": 15, "label": "2.13.ad_r", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.34525.1"], "p": 13, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 10]], "poly": [1, -3, 17, -39, 169], "poly_str": "1 -3 17 -39 169 ", "primitive_models": [], "principal_polarization_count": 15, "q": 13, "real_poly": [1, -3, -9], "simple_distinct": ["2.13.ad_r"], "simple_factors": ["2.13.ad_rA"], "simple_multiplicities": [1], "singular_primes": ["3,F^2+3*F-14"], "size": 15, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.34525.1", "splitting_polynomials": [[95, -15, 19, -1, 1]], "twist_count": 2, "twists": [["2.13.d_r", "2.169.z_pd", 2]], "weak_equivalence_count": 2, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 10, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 1381, "zfv_singular_count": 2, "zfv_singular_primes": ["3,F^2+3*F-14"]}