# Stored data for abelian variety isogeny class 2.37.ah_de, downloaded from the LMFDB on 21 October 2025.
{"abvar_count": 1186, "abvar_counts": [1186, 2037548, 2596391200, 3509570477504, 4807137618311146, 6582900073224300800, 9012093862419697168234, 12337514662827711669288704, 16890053897953841243578919200, 23122483941222079741276798828428], "abvar_counts_str": "1186 2037548 2596391200 3509570477504 4807137618311146 6582900073224300800 9012093862419697168234 12337514662827711669288704 16890053897953841243578919200 23122483941222079741276798828428 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.348867809718615, 0.462274902656121], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 31, "curve_counts": [31, 1485, 51256, 1872609, 69323091, 2565706170, 94932220183, 3512480236449, 129961740467512, 4808584429515925], "curve_counts_str": "31 1485 51256 1872609 69323091 2565706170 94932220183 3512480236449 129961740467512 4808584429515925 ", "curves": ["y^2=6*x^6+16*x^5+4*x^4+17*x^2+28*x+1", "y^2=30*x^6+9*x^5+2*x^3+24*x^2+28*x+24", "y^2=22*x^6+x^5+26*x^4+18*x^3+19*x^2+9*x+21", "y^2=29*x^6+11*x^5+6*x^4+30*x^3+15*x^2+25*x+8", "y^2=19*x^6+11*x^5+27*x^4+8*x^3+11*x^2+30*x+24", "y^2=33*x^6+28*x^5+17*x^4+8*x^3+20*x^2+21*x+29", "y^2=2*x^6+20*x^5+22*x^4+4*x^3+35*x^2+9*x+10", "y^2=5*x^6+14*x^5+21*x^4+34*x^3+2*x^2+9*x+2", "y^2=6*x^6+24*x^5+20*x^4+34*x^3+4*x^2+21*x+34", "y^2=18*x^6+12*x^5+8*x^4+16*x^3+35*x^2+12*x+17", "y^2=35*x^6+8*x^5+2*x^3+17*x^2+3*x+4", "y^2=31*x^6+5*x^5+23*x^4+19*x^3+17*x^2+20*x+24", "y^2=25*x^6+14*x^5+35*x^4+32*x^3+6*x^2+7*x+7", "y^2=24*x^6+34*x^5+11*x^4+x^3+17*x^2+26*x+17", "y^2=26*x^6+7*x^5+34*x^4+19*x^3+3*x^2+3*x+32", "y^2=19*x^6+8*x^5+19*x^3+25*x^2+11*x+13", "y^2=34*x^6+33*x^5+32*x^4+25*x^3+18*x^2+13*x+4", "y^2=36*x^6+31*x^5+27*x^4+4*x^3+x^2+23*x+8", "y^2=12*x^6+33*x^5+31*x^4+11*x^3+24*x^2+8*x+14", "y^2=10*x^6+x^5+2*x^4+2*x^3+7*x^2+20*x+10"], "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": ["4.0.4937276.1"], "geometric_splitting_field": "4.0.4937276.1", "geometric_splitting_polynomials": [[1139, -17, 64, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 20, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 20, "label": "2.37.ah_de", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.4937276.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 13, 1, 20]], "poly": [1, -7, 82, -259, 1369], "poly_str": "1 -7 82 -259 1369 ", "primitive_models": [], "principal_polarization_count": 20, "q": 37, "real_poly": [1, -7, 8], "simple_distinct": ["2.37.ah_de"], "simple_factors": ["2.37.ah_deA"], "simple_multiplicities": [1], "singular_primes": [], "size": 20, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.4937276.1", "splitting_polynomials": [[1139, -17, 64, -1, 1]], "twist_count": 2, "twists": [["2.37.h_de", "2.1369.el_iqm", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 20, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 17084, "zfv_singular_count": 0, "zfv_singular_primes": []}