# Stored data for abelian variety isogeny class 2.13.ad_q, downloaded from the LMFDB on 07 October 2026.
{"abvar_count": 144, "abvar_counts": [144, 32832, 4826304, 821193984, 138594214224, 23293210300416, 3935668743494352, 665399771295667200, 112455406959154934976, 19004886538871760447552], "abvar_counts_str": "144 32832 4826304 821193984 138594214224 23293210300416 3935668743494352 665399771295667200 112455406959154934976 19004886538871760447552 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.2561228541777, 0.589456187511033], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 11, "curve_counts": [11, 193, 2198, 28753, 373271, 4825798, 62721299, 815710081, 10604499374, 137857931593], "curve_counts_str": "11 193 2198 28753 373271 4825798 62721299 815710081 10604499374 137857931593 ", "curves": ["y^2=4*x^5+2*x^4+11*x^3+7*x+8", "y^2=9*x^6+11*x^5+4*x^4+12*x^3+9*x^2+3*x+12", "y^2=10*x^6+12*x^5+8*x^4+11*x^3+4*x^2+4*x+2", "y^2=11*x^6+8*x^5+7*x^4+10*x^3+7*x^2+9*x+2", "y^2=5*x^6+4*x^5+10*x^4+x^3+10*x^2+8*x+4", "y^2=6*x^5+5*x^3+12*x^2+6*x+8", "y^2=6*x^5+10*x^4+9*x^3+9*x^2+9*x+3", "y^2=x^6+x^3+6", "y^2=12*x^6+4*x^5+11*x^3+8*x^2+9*x+10", "y^2=7*x^6+6*x^5+2*x^4+9*x^3+8*x^2+2*x", "y^2=2*x^6+11*x^5+8*x^4+4*x^3+12", "y^2=2*x^6+2*x^5+7*x^4+4*x^3+5*x^2+9*x+9", "y^2=11*x^6+3*x^5+10*x^4+x^3+7*x^2+7", "y^2=12*x^6+5*x^5+11*x^4+11*x^3+3*x^2+10*x+9"], "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 24, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 2, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "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": 2, "geometric_extension_degree": 6, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.3.1"], "geometric_splitting_field": "2.0.3.1", "geometric_splitting_polynomials": [[1, -1, 1]], "group_structure_count": 6, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 14, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 14, "label": "2.13.ad_q", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 3], "number_fields": ["2.0.3.1", "2.0.3.1"], "p": 13, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -3, 16, -39, 169], "poly_str": "1 -3 16 -39 169 ", "primitive_models": [], "q": 13, "real_poly": [1, -3, -10], "simple_distinct": ["1.13.af", "1.13.c"], "simple_factors": ["1.13.afA", "1.13.cA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,6*F+2*V+7", "7,-9*F-4*V", "7,2*F+V", "2,-F+9"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.3.1", "splitting_polynomials": [[1, -1, 1]], "twist_count": 24, "twists": [["2.13.ah_bk", "2.169.x_nw", 2], ["2.13.h_bk", "2.169.x_nw", 2], ["2.13.am_cj", "2.2197.a_atm", 3], ["2.13.aj_bo", "2.2197.a_atm", 3], ["2.13.a_ax", "2.2197.a_atm", 3], ["2.13.a_b", "2.2197.a_atm", 3], ["2.13.a_w", "2.2197.a_atm", 3], ["2.13.d_q", "2.2197.a_atm", 3], ["2.13.j_bo", "2.2197.a_atm", 3], ["2.13.m_cj", "2.2197.a_atm", 3], ["2.13.ao_cx", "2.4826809.abmy_vrvgo", 6], ["2.13.ak_bz", "2.4826809.abmy_vrvgo", 6], ["2.13.af_m", "2.4826809.abmy_vrvgo", 6], ["2.13.ae_be", "2.4826809.abmy_vrvgo", 6], ["2.13.ac_aj", "2.4826809.abmy_vrvgo", 6], ["2.13.a_w", "2.4826809.abmy_vrvgo", 6], ["2.13.c_aj", "2.4826809.abmy_vrvgo", 6], ["2.13.e_be", "2.4826809.abmy_vrvgo", 6], ["2.13.f_m", "2.4826809.abmy_vrvgo", 6], ["2.13.k_bz", "2.4826809.abmy_vrvgo", 6], ["2.13.o_cx", "2.4826809.abmy_vrvgo", 6], ["2.13.a_aw", "2.23298085122481.bpdjmy_ywbbhwbngo", 12], ["2.13.a_ab", "2.23298085122481.bpdjmy_ywbbhwbngo", 12], ["2.13.a_x", "2.23298085122481.bpdjmy_ywbbhwbngo", 12]], "weak_equivalence_count": 24, "zfv_index": 588, "zfv_index_factorization": [[2, 2], [3, 1], [7, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1296, "zfv_singular_count": 8, "zfv_singular_primes": ["3,6*F+2*V+7", "7,-9*F-4*V", "7,2*F+V", "2,-F+9"]}