# Stored data for abelian variety isogeny class 2.37.as_fv, downloaded from the LMFDB on 28 February 2026.
{"abvar_count": 837, "abvar_counts": [837, 1845585, 2582191872, 3517435856025, 4809182382182277, 6582957534912245760, 9012066317924906730141, 12337521580684587833152425, 16890057862873260352912205568, 23122484522484451655507532385425], "abvar_counts_str": "837 1845585 2582191872 3517435856025 4809182382182277 6582957534912245760 9012066317924906730141 12337521580684587833152425 16890057862873260352912205568 23122484522484451655507532385425 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.140472200255843, 0.30484777250156], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 20, "curve_counts": [20, 1348, 50978, 1876804, 69352580, 2565728566, 94931930036, 3512482205956, 129961770975866, 4808584550396068], "curve_counts_str": "20 1348 50978 1876804 69352580 2565728566 94931930036 3512482205956 129961770975866 4808584550396068 ", "curves": ["y^2=24*x^6+6*x^5+36*x^4+x^3+30*x^2+35*x+18", "y^2=2*x^6+13*x^5+4*x^4+25*x^3+28*x^2+8*x+20", "y^2=17*x^6+14*x^5+12*x^4+32*x^3+26*x^2+2*x+22", "y^2=20*x^6+12*x^5+36*x^4+34*x^3+36*x^2+19*x+15", "y^2=20*x^6+11*x^5+7*x^4+3*x^3+26*x^2+3*x+2", "y^2=6*x^6+21*x^5+23*x^4+29*x^3+11*x^2+26*x+7", "y^2=7*x^6+10*x^5+9*x^4+35*x^3+3*x^2+34*x+3", "y^2=8*x^6+27*x^5+21*x^3+25*x+31", "y^2=19*x^6+22*x^5+20*x^4+17*x^3+22*x^2+7*x+21", "y^2=8*x^6+23*x^5+33*x^4+32*x^3+11*x^2+19*x+14", "y^2=13*x^6+22*x^5+24*x^4+5*x^3+2*x^2+13*x+19", "y^2=34*x^6+36*x^5+15*x^4+23*x^3+17*x^2+27*x+3", "y^2=29*x^6+24*x^5+34*x^3+27*x^2+33*x+15", "y^2=25*x^6+24*x^5+7*x^4+32*x^3+11*x^2+20*x+16", "y^2=5*x^6+15*x^5+13*x^4+9*x^3+23*x^2+7*x+25", "y^2=33*x^6+11*x^5+30*x^4+2*x^3+21*x^2+25*x+34", "y^2=18*x^6+23*x^5+25*x^4+35*x^3+23*x^2+3*x+13", "y^2=23*x^6+24*x^5+32*x^4+35*x^3+33*x^2+16*x+9", "y^2=30*x^6+26*x^5+32*x^4+31*x^3+35*x^2+16*x+33", "y^2=32*x^6+14*x^5+x^4+23*x^3+27*x^2+25*x+14", "y^2=2*x^6+21*x^5+6*x^4+11*x^3+16*x^2+26*x+4", "y^2=14*x^6+17*x^5+10*x^4+5*x^3+3*x^2+20*x+29", "y^2=22*x^6+6*x^4+10*x^3+34*x+35", "y^2=20*x^6+24*x^5+22*x^4+10*x^3+x^2+15"], "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 12, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.3.1", "2.0.11.1"], "geometric_splitting_field": "4.0.1089.1", "geometric_splitting_polynomials": [[9, -3, -2, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 24, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 24, "label": "2.37.as_fv", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["2.0.3.1", "2.0.11.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -18, 151, -666, 1369], "poly_str": "1 -18 151 -666 1369 ", "primitive_models": [], "q": 37, "real_poly": [1, -18, 77], "simple_distinct": ["1.37.al", "1.37.ah"], "simple_factors": ["1.37.alA", "1.37.ahA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,11*F-5", "2,-F^2+V-50", "3,-4*F+11"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1089.1", "splitting_polynomials": [[9, -3, -2, -1, 1]], "twist_count": 12, "twists": [["2.37.ae_ad", "2.1369.aw_cid", 2], ["2.37.e_ad", "2.1369.aw_cid", 2], ["2.37.s_fv", "2.1369.aw_cid", 2], ["2.37.ag_cp", "2.50653.mm_dbgg", 3], ["2.37.d_e", "2.50653.mm_dbgg", 3], ["2.37.ar_fo", "2.2565726409.dey_ainrvlkc", 6], ["2.37.ai_dd", "2.2565726409.dey_ainrvlkc", 6], ["2.37.ad_e", "2.2565726409.dey_ainrvlkc", 6], ["2.37.g_cp", "2.2565726409.dey_ainrvlkc", 6], ["2.37.i_dd", "2.2565726409.dey_ainrvlkc", 6], ["2.37.r_fo", "2.2565726409.dey_ainrvlkc", 6]], "weak_equivalence_count": 12, "zfv_index": 144, "zfv_index_factorization": [[2, 4], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 2673, "zfv_singular_count": 6, "zfv_singular_primes": ["3,11*F-5", "2,-F^2+V-50", "3,-4*F+11"]}