# Stored data for abelian variety isogeny class 2.37.ap_ei, downloaded from the LMFDB on 12 May 2026.
{"abvar_count": 912, "abvar_counts": [912, 1871424, 2565722304, 3507355489536, 4807123165898832, 6582930941243068416, 9012129474912049556688, 12337525060900849460081664, 16890053810563332285347318976, 23122483621633757477255423874624], "abvar_counts_str": "912 1871424 2565722304 3507355489536 4807123165898832 6582930941243068416 9012129474912049556688 12337525060900849460081664 16890053810563332285347318976 23122483621633757477255423874624 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.0811825253940822, 0.414515858727416], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 23, "curve_counts": [23, 1369, 50654, 1871425, 69322883, 2565718198, 94932595319, 3512483196769, 129961739795078, 4808584363053889], "curve_counts_str": "23 1369 50654 1871425 69322883 2565718198 94932595319 3512483196769 129961739795078 4808584363053889 ", "curves": ["y^2=31*x^6+28*x^5+6*x^4+11*x^3+4*x^2+2*x+24", "y^2=4*x^6+34*x^5+12*x^4+20*x^3+35*x^2+13*x+2", "y^2=7*x^6+22*x^5+29*x^4+28*x^3+18*x^2+31*x", "y^2=6*x^6+22*x^5+21*x^4+27*x^3+36*x^2+23*x+9", "y^2=3*x^6+2*x^5+5*x^4+35*x^3+10*x^2+9*x+33", "y^2=29*x^6+21*x^5+11*x^4+23*x^3+8*x^2+5*x+20", "y^2=2*x^6+4*x^3+10", "y^2=31*x^6+x^5+24*x^4+32*x^3+11*x^2+24*x+19", "y^2=15*x^6+29*x^5+30*x^4+16*x^3+6*x^2+3*x+4", "y^2=32*x^6+18*x^5+6*x^4+32*x^3+29*x^2+7*x+10", "y^2=35*x^6+14*x^5+9*x^4+31*x^3+4*x^2+22*x+19", "y^2=5*x^6+26*x^5+2*x^4+21*x^3+24*x^2+36*x+10", "y^2=24*x^6+2*x^5+23*x^4+24*x^3+5*x^2+31*x+15", "y^2=24*x^6+21*x^5+30*x^4+21*x^3+6*x^2+11*x+27", "y^2=12*x^6+3*x^5+32*x^4+35*x^3+34*x^2+18*x", "y^2=x^6+24*x^5+21*x^4+9*x^3+33*x^2+33*x+27", "y^2=x^6+x^3+18", "y^2=7*x^6+34*x^5+21*x^4+2*x^3+5*x^2+14*x+15", "y^2=2*x^6+14*x^5+6*x^4+21*x^3+24*x^2+9*x+3", "y^2=22*x^6+3*x^5+32*x^4+34*x^3+9*x^2+27*x+5", "y^2=35*x^6+14*x^5+31*x^4+20*x^3+21*x^2+9*x+12", "y^2=19*x^6+34*x^5+29*x^4+20*x^3+16*x^2+19*x+13", "y^2=5*x^6+35*x^5+24*x^4+8*x^3+35*x^2+22*x+6", "y^2=29*x^6+35*x^5+6*x^4+12*x^3+20*x^2+13*x+19", "y^2=21*x^6+22*x^5+6*x^4+27*x^3+23*x^2+7*x+28", "y^2=5*x^6+16*x^5+8*x^4+23*x^3+5*x^2+35*x", "y^2=5*x^6+4*x^5+35*x^4+32*x^3+17*x^2+22*x+25", "y^2=14*x^6+28*x^5+12*x^4+22*x^3+16*x^2+5*x+5"], "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": 6, "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": 6, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.219.1"], "geometric_splitting_field": "2.0.219.1", "geometric_splitting_polynomials": [[55, -1, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 28, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 28, "label": "2.37.ap_ei", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.47961.2"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2], [1, 19, 1, 6], [1, 19, 2, 2]], "poly": [1, -15, 112, -555, 1369], "poly_str": "1 -15 112 -555 1369 ", "primitive_models": [], "principal_polarization_count": 28, "q": 37, "real_poly": [1, -15, 38], "simple_distinct": ["2.37.ap_ei"], "simple_factors": ["2.37.ap_eiA"], "simple_multiplicities": [1], "singular_primes": ["3,-7*F-3*V+50", "2,2*F+V-13"], "size": 28, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.47961.2", "splitting_polynomials": [[324, 18, 19, -1, 1]], "twist_count": 4, "twists": [["2.37.p_ei", "2.1369.ab_acaq", 2], ["2.37.a_b", "2.50653.a_agby", 3], ["2.37.p_ei", "2.50653.a_agby", 3], ["2.37.a_ab", "2.6582952005840035281.bhcynlro_pwcgjxbzuovuvm", 12]], "weak_equivalence_count": 6, "zfv_index": 12, "zfv_index_factorization": [[2, 2], [3, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 12, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1296, "zfv_singular_count": 4, "zfv_singular_primes": ["3,-7*F-3*V+50", "2,2*F+V-13"]}