# Stored data for abelian variety isogeny class 2.53.f_eh, downloaded from the LMFDB on 18 March 2026.
{"abvar_count": 3191, "abvar_counts": [3191, 8459341, 22053859379, 62194775359541, 174911559990097936, 491264881878880141021, 1379942187993777462825539, 3876268755112290802266330725, 10888440340523993294121724853591, 30585627257707199294482881547223296], "abvar_counts_str": "3191 8459341 22053859379 62194775359541 174911559990097936 491264881878880141021 1379942187993777462825539 3876268755112290802266330725 10888440340523993294121724853591 30585627257707199294482881547223296 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.530257552113172, 0.579933521437278], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 59, "curve_counts": [59, 3007, 148133, 7882251, 418253094, 22164630823, 1174707671693, 62259685673043, 3299763767190779, 174887470176014022], "curve_counts_str": "59 3007 148133 7882251 418253094 22164630823 1174707671693 62259685673043 3299763767190779 174887470176014022 ", "curves": ["y^2=25*x^6+17*x^5+3*x^4+44*x^3+42*x^2+28*x+25", "y^2=14*x^6+32*x^5+41*x^4+44*x^3+22*x^2+40*x+52", "y^2=37*x^6+29*x^5+50*x^4+48*x^3+3*x^2+49*x+39", "y^2=39*x^6+51*x^5+30*x^4+16*x^3+38*x^2+14*x+27", "y^2=27*x^6+49*x^5+21*x^4+40*x^3+17*x^2+48*x+22", "y^2=44*x^6+2*x^5+10*x^4+47*x^3+5*x^2+38*x+39", "y^2=19*x^6+13*x^5+28*x^4+3*x^3+20*x^2+6*x+47", "y^2=49*x^6+24*x^5+17*x^4+35*x^3+31*x^2+25*x+24", "y^2=8*x^6+5*x^5+11*x^4+9*x^3+44*x^2+35*x+27", "y^2=2*x^6+45*x^5+28*x^4+39*x^3+28*x^2+38*x+22", "y^2=10*x^6+21*x^5+23*x^4+49*x^3+7*x^2+28*x+22", "y^2=51*x^6+12*x^5+19*x^4+8*x^3+30*x^2+24*x+19", "y^2=18*x^6+31*x^5+46*x^4+11*x^3+40*x^2+12*x+16", "y^2=12*x^6+8*x^5+6*x^4+43*x^3+29*x^2+24*x+26", "y^2=48*x^6+49*x^5+48*x^4+47*x^3+9*x^2+47*x+20", "y^2=35*x^6+12*x^5+5*x^4+6*x^3+49*x^2+42*x+11"], "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": 1, "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": ["4.0.1044725.2"], "geometric_splitting_field": "4.0.1044725.2", "geometric_splitting_polynomials": [[2651, -54, 102, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 16, "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": 16, "label": "2.53.f_eh", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.1044725.2"], "p": 53, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 11, 1, 4], [1, 11, 3, 2], [1, 19, 1, 4]], "poly": [1, 5, 111, 265, 2809], "poly_str": "1 5 111 265 2809 ", "primitive_models": [], "principal_polarization_count": 16, "q": 53, "real_poly": [1, 5, 5], "simple_distinct": ["2.53.f_eh"], "simple_factors": ["2.53.f_ehA"], "simple_multiplicities": [1], "singular_primes": [], "size": 16, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1044725.2", "splitting_polynomials": [[2651, -54, 102, -1, 1]], "twist_count": 2, "twists": [["2.53.af_eh", "2.2809.hp_wqb", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 16, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 41789, "zfv_singular_count": 0, "zfv_singular_primes": []}