# Stored data for abelian variety isogeny class 2.41.c_abu, downloaded from the LMFDB on 17 July 2026.
{"abvar_count": 1720, "abvar_counts": [1720, 2669440, 4786830520, 7987989544960, 13425755563123000, 22564033418118064000, 37929231230935476890680, 63759040533336669738762240, 107178912715587691772463396280, 180167782594226876761349043376000], "abvar_counts_str": "1720 2669440 4786830520 7987989544960 13425755563123000 22564033418118064000 37929231230935476890680 63759040533336669738762240 107178912715587691772463396280 180167782594226876761349043376000 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.200112285954485, 0.915515338996619], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 44, "curve_counts": [44, 1586, 69452, 2826846, 115882924, 4750218578, 194754294604, 7984926433726, 327381878642732, 13422659283168626], "curve_counts_str": "44 1586 69452 2826846 115882924 4750218578 194754294604 7984926433726 327381878642732 13422659283168626 ", "curves": ["y^2=21*x^6+8*x^5+24*x^4+19*x^3+3*x^2+30*x+24", "y^2=23*x^6+13*x^5+24*x^4+3*x^3+12*x^2+38", "y^2=11*x^6+23*x^5+6*x^4+2*x^3+32*x^2+20*x+24", "y^2=20*x^6+6*x^5+4*x^4+12*x^3+5*x^2+24*x+13", "y^2=5*x^6+17*x^5+37*x^4+3*x^3+14*x^2+35*x+32", "y^2=9*x^6+6*x^5+24*x^4+21*x^3+32*x^2+20*x+20", "y^2=18*x^6+17*x^5+16*x^4+13*x^3+5*x^2+20*x+2", "y^2=x^6+38*x^5+6*x^4+24*x^3+25*x^2+37", "y^2=12*x^6+31*x^5+18*x^4+27*x^3+34*x^2+15*x+2", "y^2=20*x^6+33*x^5+40*x^4+36*x^3+12*x^2+29*x+20", "y^2=35*x^5+20*x^4+25*x^3+40*x^2+8*x", "y^2=15*x^6+36*x^5+9*x^4+39*x^3+13*x^2+11*x+20", "y^2=32*x^6+3*x^5+22*x^4+24*x^3+30*x^2+22*x+28", "y^2=14*x^6+24*x^5+19*x^4+33*x^3+23*x^2+9*x+19", "y^2=15*x^6+36*x^5+12*x^4+25*x^3+14*x^2+39*x+25", "y^2=4*x^6+29*x^5+27*x^4+34*x^3+28*x^2+17*x+25", "y^2=21*x^6+2*x^5+5*x^4+37*x^3+16*x^2+21", "y^2=10*x^6+4*x^5+25*x^4+32*x^3+4*x^2+22*x+28", "y^2=20*x^6+7*x^5+35*x^4+19*x^3+16*x^2+27*x+12", "y^2=10*x^6+22*x^5+5*x^4+8*x^3+23*x^2+5*x+30", "y^2=31*x^6+32*x^5+5*x^4+31*x^3+22*x^2+31*x+8", "y^2=38*x^6+26*x^5+40*x^4+14*x^3+22*x^2+14*x+29", "y^2=13*x^6+10*x^5+25*x^4+2*x^3+16*x^2+20*x+8", "y^2=39*x^6+3*x^5+18*x^4+15*x^3+23*x^2+30*x+5", "y^2=13*x^6+2*x^5+4*x^4+36*x^3+20*x", "y^2=34*x^6+9*x^5+22*x^4+25*x^3+31*x^2+17*x+13", "y^2=30*x^6+6*x^5+29*x^4+39*x^3+2*x^2+17*x+28", "y^2=25*x^6+38*x^5+35*x^4+7*x^3+21*x^2+14*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": 5, "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": ["4.0.2662560.1"], "geometric_splitting_field": "4.0.825600.6", "geometric_splitting_polynomials": [[129, 0, 34, 0, 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": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 28, "label": "2.41.c_abu", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.2662560.1"], "p": 41, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 2, -46, 82, 1681], "poly_str": "1 2 -46 82 1681 ", "primitive_models": [], "q": 41, "real_poly": [1, 2, -128], "simple_distinct": ["2.41.c_abu"], "simple_factors": ["2.41.c_abuA"], "simple_multiplicities": [1], "singular_primes": ["2,-3*F^2-F+4"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.825600.6", "splitting_polynomials": [[129, 0, 34, 0, 1]], "twist_count": 2, "twists": [["2.41.ac_abu", "2.1681.ads_hqc", 2]], "weak_equivalence_count": 6, "zfv_index": 8, "zfv_index_factorization": [[2, 3]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 640, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-3*F^2-F+4"]}