# Stored data for abelian variety isogeny class 1.79.ae, downloaded from the LMFDB on 17 July 2026.
{"abvar_count": 76, "abvar_counts": [76, 6384, 493924, 38942400, 3076955836, 243087660144, 19203917749204, 1517108828793600, 119851595365885996, 9468276078667841904], "abvar_counts_str": "76 6384 493924 38942400 3076955836 243087660144 19203917749204 1517108828793600 119851595365885996 9468276078667841904 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.427756044762095], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 76, "curve_counts": [76, 6384, 493924, 38942400, 3076955836, 243087660144, 19203917749204, 1517108828793600, 119851595365885996, 9468276078667841904], "curve_counts_str": "76 6384 493924 38942400 3076955836 243087660144 19203917749204 1517108828793600 119851595365885996 9468276078667841904 ", "curves": ["y^2=x^3+75*x+67", "y^2=x^3+12", "y^2=x^3+64*x+64", "y^2=x^3+28*x+28", "y^2=x^3+58*x+16", "y^2=x^3+15*x+15", "y^2=x^3+44*x+44", "y^2=x^3+14*x+42", "y^2=x^3+4*x+12", "y^2=x^3+8*x+24"], "dim1_distinct": 1, "dim1_factors": 1, "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": 4, "g": 1, "galois_groups": ["2T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "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": 1, "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": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 10, "label": "1.79.ae", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 1, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.3.1"], "p": 79, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2], [1, 7, 1, 6]], "poly": [1, -4, 79], "poly_str": "1 -4 79 ", "primitive_models": [], "principal_polarization_count": 10, "q": 79, "real_poly": [1, -4], "simple_distinct": ["1.79.ae"], "simple_factors": ["1.79.aeA"], "simple_multiplicities": [1], "singular_primes": ["2,F-1", "5,-2*F-1"], "size": 10, "slopes": ["0A", "1A"], "splitting_field": "2.0.3.1", "splitting_polynomials": [[1, -1, 1]], "twist_count": 6, "twists": [["1.79.e", "1.6241.fm", 2], ["1.79.an", "1.493039.bia", 3], ["1.79.r", "1.493039.bia", 3], ["1.79.ar", "1.243087455521.lqsc", 6], ["1.79.n", "1.243087455521.lqsc", 6]], "weak_equivalence_count": 4, "zfv_index": 10, "zfv_index_factorization": [[2, 1], [5, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 6, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 300, "zfv_singular_count": 4, "zfv_singular_primes": ["2,F-1", "5,-2*F-1"]}