# Stored data for abelian variety isogeny class 2.13.a_a, downloaded from the LMFDB on 10 March 2026.
{"abvar_count": 170, "abvar_counts": [170, 28900, 4826810, 835210000, 137858491850, 23298094776100, 3937376385699290, 665323421736960000, 112455406951957393130, 19004963775156516422500], "abvar_counts_str": "170 28900 4826810 835210000 137858491850 23298094776100 3937376385699290 665323421736960000 112455406951957393130 19004963775156516422500 ", "angle_corank": 2, "angle_rank": 0, "angles": [0.25, 0.75], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 14, "curve_counts": [14, 170, 2198, 29238, 371294, 4826810, 62748518, 815616478, 10604499374, 137858491850], "curve_counts_str": "14 170 2198 29238 371294 4826810 62748518 815616478 10604499374 137858491850 ", "curves": ["y^2=x^5+12", "y^2=2*x^5+11", "y^2=8*x^6+9*x^5+9*x^4+10*x^3+12*x^2+11*x+7", "y^2=3*x^6+5*x^5+5*x^4+7*x^3+11*x^2+9*x+1", "y^2=x^5+11*x", "y^2=x^5+4*x^4+8*x^3+4*x^2+10*x+9", "y^2=2*x^5+8*x^4+3*x^3+8*x^2+7*x+5", "y^2=7*x^6+2*x^4+10*x^3+7*x^2+10", "y^2=x^6+4*x^4+7*x^3+x^2+7", "y^2=11*x^6+2*x^5+2*x^4+10*x^3+2*x^2+3*x+10", "y^2=9*x^6+4*x^5+4*x^4+7*x^3+4*x^2+6*x+7", "y^2=5*x^6+10*x^5+9*x^4+9*x^2+3*x+5", "y^2=10*x^6+7*x^5+5*x^4+5*x^2+6*x+10", "y^2=10*x^5+5*x^4+6*x^3+3*x^2+7*x+4", "y^2=7*x^5+10*x^4+12*x^3+6*x^2+x+8", "y^2=3*x^6+x^5+9*x^4+10*x^3+4*x^2+5*x", "y^2=6*x^6+2*x^5+5*x^4+7*x^3+8*x^2+10*x", "y^2=7*x^6+5*x^5+4*x^4+4*x^3+11*x^2+7*x+11", "y^2=x^6+10*x^5+8*x^4+8*x^3+9*x^2+x+9", "y^2=11*x^6+x^5+6*x^4+2*x^3+4*x^2+3*x+11", "y^2=9*x^6+2*x^5+12*x^4+4*x^3+8*x^2+6*x+9"], "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": ["4T2"], "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": 1, "geometric_extension_degree": 4, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 1]], "group_structure_count": 1, "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 21, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": true, "jacobian_count": 21, "label": "2.13.a_a", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "newton_coelevation": 0, "newton_elevation": 2, "noncyclic_primes": [], "number_fields": ["4.0.43264.3"], "p": 13, "p_rank": 0, "p_rank_deficit": 2, "poly": [1, 0, 0, 0, 169], "poly_str": "1 0 0 0 169 ", "primitive_models": [], "q": 13, "real_poly": [1, 0, -26], "simple_distinct": ["2.13.a_a"], "simple_factors": ["2.13.a_aA"], "simple_multiplicities": [1], "singular_primes": ["13,F+13*V,11*V+65"], "slopes": ["1/2A", "1/2B", "1/2C", "1/2D"], "splitting_field": "4.0.43264.3", "splitting_polynomials": [[169, 0, 0, 0, 1]], "twist_count": 5, "twists": [["2.13.a_aba", "2.815730721.agnaa_pvyjtna", 8], ["2.13.a_ba", "2.815730721.agnaa_pvyjtna", 8], ["2.13.a_an", "2.542800770374370512771595361.aregxoqgnaa_egmkjvocqmubnpvyjtna", 24], ["2.13.a_n", "2.542800770374370512771595361.aregxoqgnaa_egmkjvocqmubnpvyjtna", 24]], "weak_equivalence_count": 2, "zfv_index": 13, "zfv_index_factorization": [[13, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 676, "zfv_singular_count": 3, "zfv_singular_primes": ["13,F+13*V,11*V+65"]}