# Stored data for abelian variety isogeny class 2.97.a_ahi, downloaded from the LMFDB on 17 November 2025.
{"abvar_count": 9220, "abvar_counts": [9220, 85008400, 832970509060, 7834374144000000, 73742412680461764100, 693839868963675542083600, 6528362774606052498258990340, 61425363440064272597581824000000, 577951262543040979719129108740683780, 5437943427935527980046230802084048810000], "abvar_counts_str": "9220 85008400 832970509060 7834374144000000 73742412680461764100 693839868963675542083600 6528362774606052498258990340 61425363440064272597581824000000 577951262543040979719129108740683780 5437943427935527980046230802084048810000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.032375263178838, 0.967624736821162], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 98, "curve_counts": [98, 9030, 912674, 88494718, 8587340258, 832969013190, 80798284478114, 7837433351159038, 760231058654565218, 73742412671430702150], "curve_counts_str": "98 9030 912674 88494718 8587340258 832969013190 80798284478114 7837433351159038 760231058654565218 73742412671430702150 ", "curves": ["y^2=31*x^6+55*x^5+95*x^4+62*x^2+10*x+16", "y^2=27*x^6+91*x^5+32*x^4+39*x^3+92*x^2+8*x+42", "y^2=20*x^6+5*x^5+34*x^4+76*x^2+21*x+69", "y^2=61*x^6+4*x^5+25*x^4+32*x^3+39*x^2+49*x+57", "y^2=18*x^6+95*x^5+47*x^4+66*x^3+67*x^2+73*x+52", "y^2=10*x^6+64*x^5+2*x^4+44*x^3+28*x^2+31*x+86", "y^2=39*x^6+37*x^5+21*x^4+63*x^2+55*x+83", "y^2=59*x^6+36*x^5+88*x^4+x^3+41*x^2+25*x+31", "y^2=41*x^6+92*x^5+49*x^4+8*x^2+19*x+29", "y^2=7*x^6+78*x^5+85*x^4+27*x^2+78*x+40", "y^2=26*x^6+84*x^5+3*x^4+85*x^2+14*x+82", "y^2=78*x^6+42*x^5+22*x^4+16*x^2+82*x+19", "y^2=87*x^6+55*x^5+29*x^4+63*x^2+59*x+23", "y^2=7*x^6+20*x^5+86*x^4+35*x^3+59*x^2+7*x+94", "y^2=x^6+61*x^5+61*x^4+12*x^3+52*x^2+65*x+55", "y^2=87*x^6+70*x^5+26*x^4+15*x^2+12*x+82", "y^2=78*x^6+10*x^5+18*x^4+54*x^2+7*x+69", "y^2=4*x^6+28*x^5+9*x^4+66*x^2+57*x+65", "y^2=60*x^6+28*x^5+24*x^4+6*x^2+71*x+7", "y^2=18*x^6+35*x^5+82*x^4+63*x^3+22*x^2+2*x+19", "y^2=61*x^6+44*x^5+4*x^4+62*x^2+2*x+43"], "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": 8, "g": 2, "galois_groups": ["4T2"], "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.24.1"], "geometric_splitting_field": "2.0.24.1", "geometric_splitting_polynomials": [[6, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 21, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 21, "label": "2.97.a_ahi", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.2304.2"], "p": 97, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 8], [1, 5, 2, 8]], "poly": [1, 0, -190, 0, 9409], "poly_str": "1 0 -190 0 9409 ", "primitive_models": [], "principal_polarization_count": 43, "q": 97, "real_poly": [1, 0, -384], "simple_distinct": ["2.97.a_ahi"], "simple_factors": ["2.97.a_ahiA"], "simple_multiplicities": [1], "singular_primes": ["2,18*F-9*V+1"], "size": 72, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2304.2", "splitting_polynomials": [[9, 0, 0, 0, 1]], "twist_count": 6, "twists": [["2.97.ae_hq", "2.88529281.abzdk_bobauve", 4], ["2.97.a_hi", "2.88529281.abzdk_bobauve", 4], ["2.97.e_hq", "2.88529281.abzdk_bobauve", 4], ["2.97.ac_adp", "2.693842360995438000295041.afmjfuovrg_bnifjycselfieisrry", 12], ["2.97.c_adp", "2.693842360995438000295041.afmjfuovrg_bnifjycselfieisrry", 12]], "weak_equivalence_count": 8, "zfv_index": 128, "zfv_index_factorization": [[2, 7]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 16, "zfv_plus_index": 8, "zfv_plus_index_factorization": [[2, 3]], "zfv_plus_norm": 16, "zfv_singular_count": 2, "zfv_singular_primes": ["2,18*F-9*V+1"]}