# Stored data for abelian variety isogeny class 2.41.o_ec, downloaded from the LMFDB on 21 September 2025.
{"abvar_count": 2376, "abvar_counts": [2376, 2851200, 4751147016, 7975878451200, 13423893804702216, 22564229128115875200, 37928936765432437403976, 63759060150952189752115200, 107178930845435366378003793096, 180167785797188492389636902000000], "abvar_counts_str": "2376 2851200 4751147016 7975878451200 13423893804702216 22564229128115875200 37928936765432437403976 63759060150952189752115200 107178930845435366378003793096 180167785797188492389636902000000 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.549915982953809, 0.886448235704121], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 56, "curve_counts": [56, 1698, 68936, 2822558, 115866856, 4750259778, 194752782616, 7984928890558, 327381934021016, 13422659521792098], "curve_counts_str": "56 1698 68936 2822558 115866856 4750259778 194752782616 7984928890558 327381934021016 13422659521792098 ", "curves": ["y^2=23*x^6+7*x^5+19*x^4+34*x^3+28*x^2+11*x+20", "y^2=17*x^6+24*x^5+35*x^4+16*x^3+11*x^2+13*x+9", "y^2=28*x^6+27*x^5+28*x^4+19*x^3+14*x^2+17*x+24", "y^2=23*x^6+40*x^5+8*x^4+26*x^3+25*x^2+40*x+25", "y^2=31*x^6+16*x^5+21*x^4+37*x^2+40*x+36", "y^2=30*x^6+27*x^5+15*x^4+30*x^3+15*x^2+17*x+28", "y^2=18*x^6+5*x^5+21*x^4+26*x^3+x^2+14*x+21", "y^2=4*x^6+32*x^5+31*x^4+34*x^3+22*x^2+13*x+37", "y^2=5*x^6+17*x^5+39*x^4+10*x^3+39*x^2+17*x+5", "y^2=21*x^6+40*x^5+8*x^4+24*x^3+4*x^2+8*x+20", "y^2=19*x^6+4*x^5+8*x^4+10*x^3+9*x^2+32*x+31", "y^2=37*x^6+12*x^5+17*x^4+11*x^3+13*x^2+2*x+20", "y^2=26*x^6+39*x^5+23*x^4+5*x^3+21*x^2+23*x+17", "y^2=17*x^6+27*x^5+28*x^3+27*x^2+38*x", "y^2=39*x^6+10*x^5+21*x^4+8*x^3+18*x^2+23*x+25", "y^2=5*x^6+16*x^5+8*x^4+35*x^3+21*x^2+15*x+31", "y^2=9*x^6+36*x^5+39*x^4+33*x^3+29*x^2+10", "y^2=23*x^6+34*x^5+3*x^4+17*x^3+17*x^2+34*x+4", "y^2=31*x^6+33*x^5+29*x^4+33*x^3+36*x^2+8*x+36", "y^2=39*x^6+3*x^5+8*x^4+7*x^3+x^2+24*x+32", "y^2=8*x^6+38*x^5+35*x^4+27*x^2+28*x+19", "y^2=5*x^6+32*x^5+37*x^4+21*x^3+5*x^2+9*x+37", "y^2=4*x^6+20*x^5+21*x^4+10*x^3+37*x^2+20*x+19", "y^2=8*x^6+25*x^5+36*x^4+18*x^3+4*x^2+22*x+2", "y^2=30*x^6+26*x^5+21*x^4+40*x^3+15*x^2+18*x+23", "y^2=7*x^6+16*x^5+32*x^4+x^3+12*x^2+30*x+35", "y^2=24*x^6+11*x^4+15*x^3+23*x^2+30*x+33", "y^2=21*x^6+21*x^5+20*x^4+9*x^3+36*x^2+9*x+8", "y^2=34*x^6+26*x^5+28*x^4+36*x^3+30*x^2+36*x+4", "y^2=8*x^5+19*x^4+9*x^3+26*x^2+33*x+10", "y^2=32*x^6+12*x^5+36*x^4+34*x^3+36*x^2+12*x+32", "y^2=4*x^6+x^5+28*x^4+33*x^3+15*x^2+3*x+39", "y^2=16*x^6+36*x^5+24*x^4+39*x^3+24*x^2+36*x+16", "y^2=33*x^6+x^5+6*x^4+7*x^3+33*x^2+8*x+6", "y^2=32*x^6+16*x^5+7*x^4+39*x^3+9*x^2+15*x+29", "y^2=25*x^6+38*x^5+15*x^4+35*x^3+39*x^2+28*x+25", "y^2=29*x^6+28*x^5+4*x^4+12*x^3+4*x^2+28*x+29", "y^2=32*x^6+5*x^5+35*x^4+25*x^3+30*x^2+25*x+1", "y^2=9*x^6+40*x^5+23*x^4+8*x^3+23*x^2+11*x+4", "y^2=7*x^6+35*x^5+6*x^4+24*x^3+17*x^2+25*x+5", "y^2=16*x^6+28*x^5+10*x^4+5*x^3+11*x^2+30*x+16", "y^2=23*x^6+x^5+40*x^4+23*x^3+2*x^2+26*x+21", "y^2=39*x^6+35*x^5+39*x^4+19*x^3+28*x^2+39*x+30", "y^2=20*x^6+13*x^5+24*x^4+14*x^3+22*x^2+5*x+15", "y^2=26*x^6+24*x^5+35*x^4+30*x^3+11*x^2+4*x+36", "y^2=9*x^6+23*x^4+39*x^3+2*x^2+29*x+31", "y^2=10*x^6+16*x^5+10*x^4+33*x^3+x^2+29*x+8", "y^2=9*x^6+31*x^5+11*x^4+36*x^3+2*x^2+12*x+9", "y^2=18*x^6+12*x^5+34*x^4+12*x^3+3*x^2+40*x+4", "y^2=37*x^6+16*x^4+12*x^3+16*x^2+37", "y^2=35*x^6+40*x^5+2*x^4+29*x^3+31*x^2+5*x+2", "y^2=32*x^6+34*x^5+5*x^4+2*x^3+12*x^2+36*x+11", "y^2=26*x^6+5*x^5+23*x^4+39*x^3+18*x^2+24*x+8", "y^2=3*x^6+15*x^5+2*x^4+23*x^3+38*x^2+29*x+9", "y^2=33*x^6+35*x^5+9*x^3+6*x+31", "y^2=25*x^6+13*x^5+20*x^4+15*x^3+31*x^2+13*x+2", "y^2=33*x^6+32*x^5+5*x^4+33*x^3+24*x^2+24*x+33", "y^2=19*x^6+7*x^5+27*x^4+28*x^3+27*x^2+7*x+19", "y^2=17*x^6+x^5+7*x^4+39*x^3+20*x^2+34*x+5", "y^2=2*x^6+17*x^5+8*x^4+14*x^3+26*x^2+37*x+27", "y^2=31*x^6+8*x^5+18*x^4+34*x^3+20*x^2+3*x+5", "y^2=37*x^6+17*x^5+9*x^4+8*x^2+36*x+39", "y^2=16*x^6+29*x^5+x^4+38*x^3+x^2+29*x+16", "y^2=26*x^6+21*x^5+33*x^4+x^3+28*x^2+6*x+18", "y^2=25*x^6+11*x^5+9*x^4+28*x^3+35*x^2+x+26", "y^2=37*x^6+16*x^5+32*x^4+4*x^3+24*x^2+3*x+16", "y^2=18*x^6+40*x^5+21*x^4+18*x^3+36*x^2+23*x+40", "y^2=31*x^6+8*x^5+40*x^4+13*x^3+19*x^2+x+36", "y^2=7*x^6+3*x^5+36*x^4+16*x^3+36*x^2+3*x+7", "y^2=28*x^6+3*x^5+26*x^4+5*x^3+27*x^2+13*x+3", "y^2=33*x^6+18*x^5+26*x^4+22*x^3+13*x^2+34*x+4", "y^2=12*x^6+30*x^5+24*x^4+18*x^3+5*x^2+x+16", "y^2=13*x^6+3*x^5+31*x^4+25*x^3+26*x^2+24*x+21", "y^2=23*x^6+30*x^5+19*x^4+9*x^3+4*x^2+40*x+25", "y^2=40*x^6+38*x^5+15*x^4+11*x^3+23*x^2+21*x+8", "y^2=37*x^6+2*x^5+32*x^4+28*x^3+22*x^2+21*x+22", "y^2=19*x^6+35*x^5+37*x^4+36*x^3+6*x^2+14*x+33", "y^2=24*x^6+20*x^5+10*x^4+11*x^3+34*x^2+17*x+21", "y^2=31*x^6+35*x^5+5*x^4+22*x^3+39*x^2+18*x+35", "y^2=3*x^6+7*x^5+37*x^4+21*x^3+27*x^2+39*x+32", "y^2=39*x^6+30*x^5+38*x^4+38*x^3+22*x^2+28*x+31", "y^2=21*x^6+22*x^5+23*x^4+22*x^3+36*x^2+29*x+26", "y^2=37*x^6+21*x^5+5*x^4+19*x^3+35*x^2+11*x+16", "y^2=17*x^6+40*x^5+37*x^4+21*x^3+25*x^2+5*x+5", "y^2=17*x^6+18*x^5+35*x^4+32*x^3+22*x^2+32", "y^2=30*x^6+35*x^5+x^4+34*x^3+17*x^2+30*x+21"], "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": 15, "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": ["2.0.40.1", "2.0.20.1"], "geometric_splitting_field": "4.0.6400.2", "geometric_splitting_polynomials": [[9, 0, 4, 0, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 86, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 86, "label": "2.41.o_ec", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.40.1", "2.0.20.1"], "p": 41, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 14, 106, 574, 1681], "poly_str": "1 14 106 574 1681 ", "primitive_models": [], "q": 41, "real_poly": [1, 14, 24], "simple_distinct": ["1.41.c", "1.41.m"], "simple_factors": ["1.41.cA", "1.41.mA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-12*F-V-9", "5,9*F+9"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.6400.2", "splitting_polynomials": [[9, 0, 4, 0, 1]], "twist_count": 4, "twists": [["2.41.ao_ec", "2.1681.q_aces", 2], ["2.41.ak_cg", "2.1681.q_aces", 2], ["2.41.k_cg", "2.1681.q_aces", 2]], "weak_equivalence_count": 18, "zfv_index": 200, "zfv_index_factorization": [[2, 3], [5, 2]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 3200, "zfv_singular_count": 4, "zfv_singular_primes": ["2,-12*F-V-9", "5,9*F+9"]}