# Stored data for abelian variety isogeny class 2.13.b_p, downloaded from the LMFDB on 14 January 2026.
{"abvar_count": 199, "abvar_counts": [199, 34029, 4812019, 822446901, 137597422864, 23261295033981, 3938380728026419, 665472225536459109, 112454451541061395351, 19004984228129441313024], "abvar_counts_str": "199 34029 4812019 822446901 137597422864 23261295033981 3938380728026419 665472225536459109 112454451541061395351 19004984228129441313024 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.370469867855536, 0.679487915055012], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 15, "curve_counts": [15, 199, 2193, 28795, 370590, 4819183, 62764521, 815798899, 10604409279, 137858640214], "curve_counts_str": "15 199 2193 28795 370590 4819183 62764521 815798899 10604409279 137858640214 ", "curves": ["y^2=6*x^6+5*x^5+4*x^4+2*x^3+7*x^2+7", "y^2=3*x^6+8*x^5+8*x^4+4*x^3+9*x^2+x+5", "y^2=4*x^6+10*x^5+3*x^4+8*x^2+3*x+5", "y^2=12*x^5+10*x^4+9*x^3+6*x^2+3*x+1", "y^2=12*x^6+8*x^5+3*x^4+10*x^3+6*x^2+3*x+12", "y^2=3*x^6+7*x^5+6*x^4+3*x^2+3*x", "y^2=4*x^6+5*x^5+10*x^4+x^2+6*x+3", "y^2=6*x^6+8*x^5+8*x^4+7*x^3+3*x^2+4*x+1", "y^2=12*x^6+5*x^5+9*x^4+9*x^3+6*x^2+4*x+6", "y^2=x^6+8*x^5+10*x^4+8*x^3+9*x+6", "y^2=2*x^6+6*x^5+x^4+5*x^3+10*x+2", "y^2=11*x^6+5*x^5+2*x^4+3*x^3+10*x+4", "y^2=3*x^6+6*x^5+11*x^4+x^3+3*x^2+2*x+8", "y^2=6*x^5+3*x^4+6*x^3+6*x^2+x+12", "y^2=7*x^6+5*x^5+11*x^3+x^2+6*x", "y^2=4*x^6+2*x^5+2*x^3+6*x^2+10*x+7"], "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": 3, "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": ["4.0.40725.3"], "geometric_splitting_field": "4.0.40725.3", "geometric_splitting_polynomials": [[109, -8, 20, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 16, "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": 16, "label": "2.13.b_p", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.40725.3"], "p": 13, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 1, 15, 13, 169], "poly_str": "1 1 15 13 169 ", "primitive_models": [], "q": 13, "real_poly": [1, 1, -11], "simple_distinct": ["2.13.b_p"], "simple_factors": ["2.13.b_pA"], "simple_multiplicities": [1], "singular_primes": ["3,F^2-2*F+3"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.40725.3", "splitting_polynomials": [[109, -8, 20, -1, 1]], "twist_count": 2, "twists": [["2.13.ab_p", "2.169.bd_ur", 2]], "weak_equivalence_count": 3, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 1629, "zfv_singular_count": 2, "zfv_singular_primes": ["3,F^2-2*F+3"]}