# Stored data for abelian variety isogeny class 2.29.ao_dv, downloaded from the LMFDB on 15 June 2026.
{"abvar_count": 521, "abvar_counts": [521, 709081, 599625152, 500407679753, 420632288294641, 353817378787769344, 297564266085238996553, 250247869892043926412617, 210457419179373901036311488, 176994572836510059228989491081], "abvar_counts_str": "521 709081 599625152 500407679753 420632288294641 353817378787769344 297564266085238996553 250247869892043926412617 210457419179373901036311488 176994572836510059228989491081 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.134112930066228, 0.373400581929967], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 16, "curve_counts": [16, 844, 24586, 707508, 20507496, 594827686, 17250226072, 500249204004, 14507155268818, 420707225421564], "curve_counts_str": "16 844 24586 707508 20507496 594827686 17250226072 500249204004 14507155268818 420707225421564 ", "curves": ["y^2=22*x^6+16*x^5+22*x^4+22*x^3+6*x^2+17*x+7", "y^2=7*x^6+9*x^5+17*x^4+24*x^2+17*x+10", "y^2=7*x^6+17*x^5+22*x^4+12*x^3+25*x^2+7*x+19", "y^2=8*x^6+9*x^5+18*x^4+13*x^3+2*x^2+6*x+14", "y^2=8*x^6+16*x^5+26*x^4+25*x^3+26*x^2+10*x+2", "y^2=16*x^6+18*x^5+14*x^4+6*x^3+14*x+27", "y^2=11*x^6+7*x^5+x^4+21*x^3+7*x^2+18*x+1", "y^2=4*x^6+17*x^5+x^4+20*x^3+23*x^2+13*x+11", "y^2=28*x^6+26*x^5+20*x^3+15*x^2+10*x+27", "y^2=2*x^6+26*x^5+27*x^4+4*x^3+26*x^2+27*x+24", "y^2=10*x^6+18*x^5+14*x^4+14*x^3+4*x^2+12*x+8", "y^2=16*x^6+3*x^5+14*x^4+14*x^3+18*x^2+13*x+19", "y^2=15*x^6+25*x^5+5*x^4+8*x^3+22*x^2+2*x+19", "y^2=26*x^6+12*x^5+25*x^4+8*x^3+22*x^2+11*x+2", "y^2=11*x^6+4*x^5+18*x^4+24*x^3+22*x^2+14*x+3"], "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": 2, "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": ["4.0.122432.2"], "geometric_splitting_field": "4.0.122432.2", "geometric_splitting_polynomials": [[127, -30, 31, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 15, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 15, "label": "2.29.ao_dv", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.122432.2"], "p": 29, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -14, 99, -406, 841], "poly_str": "1 -14 99 -406 841 ", "primitive_models": [], "q": 29, "real_poly": [1, -14, 41], "simple_distinct": ["2.29.ao_dv"], "simple_factors": ["2.29.ao_dvA"], "simple_multiplicities": [1], "singular_primes": ["2,-3*F-V+13"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.122432.2", "splitting_polynomials": [[127, -30, 31, -2, 1]], "twist_count": 2, "twists": [["2.29.o_dv", "2.841.c_el", 2]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 1913, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-3*F-V+13"]}