# Stored data for abelian variety isogeny class 2.37.e_ct, downloaded from the LMFDB on 20 September 2025.
{"abvar_count": 1593, "abvar_counts": [1593, 2053377, 2548373076, 3507449228649, 4809350278409553, 6583016013858394128, 9012059829243946792377, 12337513084295571353430537, 16890051335190710115737740212, 23122483766050585133087721923697], "abvar_counts_str": "1593 2053377 2548373076 3507449228649 4809350278409553 6583016013858394128 9012059829243946792377 12337513084295571353430537 16890051335190710115737740212 23122483766050585133087721923697 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.483096029855824, 0.624722689120778], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 42, "curve_counts": [42, 1496, 50310, 1871476, 69355002, 2565751358, 94931861682, 3512479787044, 129961720748142, 4808584393087016], "curve_counts_str": "42 1496 50310 1871476 69355002 2565751358 94931861682 3512479787044 129961720748142 4808584393087016 ", "curves": ["y^2=5*x^6+x^5+4*x^4+20*x^3+28*x^2+30*x+2", "y^2=12*x^6+16*x^5+32*x^4+36*x^3+28*x^2+7*x+26", "y^2=21*x^6+17*x^5+12*x^4+2*x^3+34*x^2+28*x+21", "y^2=23*x^6+16*x^5+13*x^4+33*x^3+30*x^2+17*x+4", "y^2=32*x^6+18*x^5+28*x^4+26*x^3+26*x^2+15*x+1", "y^2=22*x^6+8*x^5+29*x^4+21*x^3+14*x^2+36*x+28", "y^2=33*x^6+29*x^5+31*x^4+28*x^3+21*x^2+9*x+10", "y^2=21*x^6+8*x^5+23*x^4+20*x^3+24*x^2+13*x+4", "y^2=20*x^6+18*x^5+9*x^4+3*x^3+16*x^2+27", "y^2=31*x^6+13*x^5+2*x^4+26*x^3+21*x^2+30*x+9", "y^2=18*x^6+2*x^5+35*x^4+27*x^3+29*x^2+9*x+36", "y^2=18*x^6+32*x^5+26*x^4+31*x^3+4*x^2+21*x+5", "y^2=31*x^6+7*x^5+9*x^4+34*x^3+11*x^2+7*x+28", "y^2=18*x^6+2*x^5+8*x^4+12*x^3+7*x^2+23*x+2", "y^2=20*x^6+18*x^5+11*x^4+12*x^3+16*x^2+21*x+12", "y^2=4*x^6+24*x^5+31*x^4+21*x^3+27*x^2+2*x+34", "y^2=22*x^6+17*x^5+36*x^4+25*x^3+22*x^2+5*x+11", "y^2=29*x^6+12*x^5+24*x^4+16*x^3+31*x^2+10*x+36", "y^2=35*x^6+12*x^5+29*x^4+24*x^3+26*x^2+14*x+28", "y^2=21*x^6+2*x^5+6*x^4+6*x^3+34*x^2+34*x+22", "y^2=4*x^6+6*x^5+15*x^4+21*x^3+7*x^2+12*x+11", "y^2=23*x^6+3*x^5+26*x^4+4*x^3+8*x^2+x+34", "y^2=22*x^6+30*x^5+10*x^4+29*x^3+13*x^2+14*x+36", "y^2=13*x^6+5*x^5+24*x^4+15*x^3+32*x^2+16*x+26"], "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": ["4.0.1625232.2"], "geometric_splitting_field": "4.0.1625232.2", "geometric_splitting_polynomials": [[589, 58, 62, -2, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 24, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 24, "label": "2.37.e_ct", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.1625232.2"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 19, 1, 18]], "poly": [1, 4, 71, 148, 1369], "poly_str": "1 4 71 148 1369 ", "primitive_models": [], "principal_polarization_count": 24, "q": 37, "real_poly": [1, 4, -3], "simple_distinct": ["2.37.e_ct"], "simple_factors": ["2.37.e_ctA"], "simple_multiplicities": [1], "singular_primes": ["3,F^2+2*F+3"], "size": 24, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1625232.2", "splitting_polynomials": [[589, 58, 62, -2, 1]], "twist_count": 2, "twists": [["2.37.ae_ct", "2.1369.ew_jtr", 2]], "weak_equivalence_count": 2, "zfv_index": 3, "zfv_index_factorization": [[3, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 18, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 18657, "zfv_singular_count": 2, "zfv_singular_primes": ["3,F^2+2*F+3"]}