# Stored data for abelian variety isogeny class 2.343.o_kd, downloaded from the LMFDB on 23 May 2026.
{"abvar_count": 122729, "abvar_counts": [122729, 13880281713, 1628659927012400, 191584430437509477369, 22539301964574977961646529, 2651730819965630418044729606400, 311973482573751811966587506950333601, 36703368218923973217957513904821759710889, 4318114567447089912151633566188562441915316400, 508021860739315821451815292483048544514081197905953], "abvar_counts_str": "122729 13880281713 1628659927012400 191584430437509477369 22539301964574977961646529 2651730819965630418044729606400 311973482573751811966587506950333601 36703368218923973217957513904821759710889 4318114567447089912151633566188562441915316400 508021860739315821451815292483048544514081197905953 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.369859557164582, 0.782510844019793], "center_dim": 4, "curve_count": 358, "curve_counts": [358, 117980, 40359712, 13841518324, 4747553437138, 1628413582009070, 558545864601073966, 191581231389073760164, 65712362364305114519776, 22539340290678613328681900], "curve_counts_str": "358 117980 40359712 13841518324 4747553437138 1628413582009070 558545864601073966 191581231389073760164 65712362364305114519776 22539340290678613328681900 ", "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, "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": ["4.0.140730202176.1"], "geometric_splitting_field": "4.0.140730202176.1", "geometric_splitting_polynomials": [[39587, -426, 427, -2, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "2.343.o_kd", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.140730202176.1"], "p": 7, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 14, 263, 4802, 117649], "poly_str": "1 14 263 4802 117649 ", "primitive_models": [], "q": 343, "real_poly": [1, 14, -423], "simple_distinct": ["2.343.o_kd"], "simple_factors": ["2.343.o_kdA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.140730202176.1", "splitting_polynomials": [[39587, -426, 427, -2, 1]], "twist_count": 2, "twists": [["2.343.ao_kd", "2.117649.ms_jrmx", 2]]}