# Stored data for abelian variety isogeny class 2.71.abg_pi, downloaded from the LMFDB on 05 March 2026.
{"abvar_count": 3136, "abvar_counts": [3136, 24285184, 127608986176, 645605491277824, 3255251579835443776, 16409744863957096960000, 82721278395020128095378496, 416997677788406169778057641984, 2102085056006684819137960909688896, 10596610599852042874648310489549737984], "abvar_counts_str": "3136 24285184 127608986176 645605491277824 3255251579835443776 16409744863957096960000 82721278395020128095378496 416997677788406169778057641984 2102085056006684819137960909688896 10596610599852042874648310489549737984 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.101666819830837, 0.101666819830837], "center_dim": 2, "curve_count": 40, "curve_counts": [40, 4814, 356536, 25405854, 1804233800, 128100768878, 9095127601880, 645753615909694, 45848501544584296, 3255243558216906254], "curve_counts_str": "40 4814 356536 25405854 1804233800 128100768878 9095127601880 645753615909694 45848501544584296 3255243558216906254 ", "curves": ["y^2=60*x^5+29*x^4+59*x^3+29*x^2+60*x", "y^2=26*x^6+20*x^4+20*x^2+26", "y^2=3*x^6+64*x^4+64*x^2+3"], "dim1_distinct": 1, "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, "g": 2, "galois_groups": ["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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.7.1"], "geometric_splitting_field": "2.0.7.1", "geometric_splitting_polynomials": [[2, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 3, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 3, "label": "2.71.abg_pi", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 7], "number_fields": ["2.0.7.1"], "p": 71, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -32, 398, -2272, 5041], "poly_str": "1 -32 398 -2272 5041 ", "primitive_models": [], "q": 71, "real_poly": [1, -32, 256], "simple_distinct": ["1.71.aq"], "simple_factors": ["1.71.aqA", "1.71.aqB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.7.1", "splitting_polynomials": [[2, -1, 1]], "twist_count": 6, "twists": [["2.71.a_aek", "2.5041.aiu_bidq", 2], ["2.71.bg_pi", "2.5041.aiu_bidq", 2], ["2.71.q_hd", "2.357911.acay_cprde", 3], ["2.71.a_ek", "2.25411681.aiqe_ezutsw", 4], ["2.71.aq_hd", "2.128100283921.bbpke_bnfrtrlqc", 6]]}