# Stored data for abelian variety isogeny class 2.11.c_d, downloaded from the LMFDB on 23 October 2025.
{"abvar_count": 149, "abvar_counts": [149, 15049, 1847600, 219128489, 25761152509, 3137993401600, 379553505671909, 45951033999079049, 5560285861849943600, 672747930345956306809], "abvar_counts_str": "149 15049 1847600 219128489 25761152509 3137993401600 379553505671909 45951033999079049 5560285861849943600 672747930345956306809 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.324646856480602, 0.808799908310244], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 14, "curve_counts": [14, 124, 1388, 14964, 159954, 1771318, 19477094, 214364964, 2358103988, 25937345004], "curve_counts_str": "14 124 1388 14964 159954 1771318 19477094 214364964 2358103988 25937345004 ", "curves": ["y^2=7*x^6+6*x^5+6*x^4+3*x^3+2*x+7", "y^2=5*x^6+2*x^5+2*x^4+3*x^3+10*x^2+8*x+4", "y^2=7*x^6+8*x^5+2*x^4+5*x^3+2*x^2+4*x+4", "y^2=9*x^6+6*x^5+4*x^4+6*x^3+5*x+9", "y^2=4*x^6+5*x^5+6*x^3+6*x^2+4*x+4", "y^2=4*x^6+4*x^5+x^4+7*x^3+2*x^2+7", "y^2=10*x^6+4*x^5+10*x^4+3*x^3+5*x^2+9*x+9", "y^2=4*x^6+10*x^5+3*x^4+9*x^2+9*x+2", "y^2=3*x^6+6*x^4+3*x^3+2*x^2+2", "y^2=7*x^6+6*x^5+10*x^4+3*x^2+4*x+8", "y^2=x^6+9*x^5+10*x^4+x^2+5*x+6", "y^2=5*x^6+8*x^5+8*x^4+6*x^3+4*x^2+9*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": ["4.0.11225.1"], "geometric_splitting_field": "4.0.11225.1", "geometric_splitting_polynomials": [[31, -12, 13, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 12, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 12, "label": "2.11.c_d", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.11225.1"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 11, 1, 6]], "poly": [1, 2, 3, 22, 121], "poly_str": "1 2 3 22 121 ", "primitive_models": [], "principal_polarization_count": 12, "q": 11, "real_poly": [1, 2, -19], "simple_distinct": ["2.11.c_d"], "simple_factors": ["2.11.c_dA"], "simple_multiplicities": [1], "singular_primes": ["2,-F^2+5*V+6"], "size": 12, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.11225.1", "splitting_polynomials": [[31, -12, 13, -2, 1]], "twist_count": 2, "twists": [["2.11.ac_d", "2.121.c_gh", 2]], "weak_equivalence_count": 3, "zfv_index": 16, "zfv_index_factorization": [[2, 4]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 6, "zfv_plus_index": 4, "zfv_plus_index_factorization": [[2, 2]], "zfv_plus_norm": 449, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-F^2+5*V+6"]}