# Stored data for abelian variety isogeny class 2.71.r_ig, downloaded from the LMFDB on 08 January 2026.
{"abvar_count": 6480, "abvar_counts": [6480, 26127360, 127250585280, 646016847114240, 3255387437923182000, 16409503328741332992000, 82721267430929029721383920, 416997652304688948571069071360, 2102084980769419660025898404656320, 10596610588470815068659571047744384000], "abvar_counts_str": "6480 26127360 127250585280 646016847114240 3255387437923182000 16409503328741332992000 82721267430929029721383920 416997652304688948571069071360 2102084980769419660025898404656320 10596610588470815068659571047744384000 ", "all_polarized_product": true, "all_unpolarized_product": true, "angle_corank": 0, "angle_rank": 2, "angles": [0.657448017852543, 0.679331255588834], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 89, "curve_counts": [89, 5181, 355532, 25422041, 1804309099, 128098883358, 9095126396389, 645753576446161, 45848499903587012, 3255243554720630901], "curve_counts_str": "89 5181 355532 25422041 1804309099 128098883358 9095126396389 645753576446161 45848499903587012 3255243554720630901 ", "curves": [], "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": 2, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.55.1", "2.0.203.1"], "geometric_splitting_field": "4.0.124657225.1", "geometric_splitting_polynomials": [[1369, 0, 129, 0, 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": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "2.71.r_ig", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.55.1", "2.0.203.1"], "p": 71, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[2, 3, 1, 4], [1, 5, 1, 2], [1, 7, 1, 4]], "poly": [1, 17, 214, 1207, 5041], "poly_str": "1 17 214 1207 5041 ", "primitive_models": [], "principal_polarization_count": 32, "q": 71, "real_poly": [1, 17, 72], "simple_distinct": ["1.71.i", "1.71.j"], "simple_factors": ["1.71.iA", "1.71.jA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,F+1"], "size": 32, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.124657225.1", "splitting_polynomials": [[1369, 0, 129, 0, 1]], "twist_count": 4, "twists": [["2.71.ar_ig", "2.5041.fj_vyu", 2], ["2.71.ab_cs", "2.5041.fj_vyu", 2], ["2.71.b_cs", "2.5041.fj_vyu", 2]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 16, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 44660, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F+1"]}