# Stored data for abelian variety isogeny class 2.59.k_eq, downloaded from the LMFDB on 13 June 2026.
{"abvar_count": 4202, "abvar_counts": [4202, 12614404, 42010507682, 146824648951376, 511107424909424002, 1779205431691811418724, 6193393271383420292360522, 21559171269000414676119680000, 75047496649541549809105133448602, 261240336818921725101754373982156004], "abvar_counts_str": "4202 12614404 42010507682 146824648951376 511107424909424002 1779205431691811418724 6193393271383420292360522 21559171269000414676119680000 75047496649541549809105133448602 261240336818921725101754373982156004 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.504230537997148, 0.720095164066961], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 70, "curve_counts": [70, 3622, 204550, 12116886, 714911250, 42180723622, 2488654321090, 146830395800478, 8662995829679830, 511116755872134102], "curve_counts_str": "70 3622 204550 12116886 714911250 42180723622 2488654321090 146830395800478 8662995829679830 511116755872134102 ", "curves": ["y^2=12*x^6+42*x^5+47*x^4+57*x^3+34*x^2+40*x+20", "y^2=46*x^6+54*x^5+4*x^4+43*x^3+5*x^2+39*x+30", "y^2=31*x^6+5*x^5+13*x^4+26*x^3+2*x^2+23*x+14", "y^2=32*x^6+11*x^5+36*x^4+47*x^3+54*x^2+31*x+46", "y^2=5*x^6+32*x^5+38*x^4+45*x^3+35*x^2+4*x+20", "y^2=57*x^6+58*x^5+46*x^4+56*x^3+21*x^2+32*x+27", "y^2=11*x^6+24*x^5+18*x^3+47*x^2+26*x+34", "y^2=6*x^6+44*x^5+51*x^4+52*x^3+2*x^2+56*x+39", "y^2=10*x^6+39*x^5+52*x^4+22*x^3+12*x^2+52*x+30", "y^2=17*x^6+14*x^5+39*x^4+20*x^3+3*x^2+2*x+25", "y^2=6*x^6+7*x^5+6*x^4+27*x^3+16*x^2+15*x+38", "y^2=41*x^6+51*x^5+30*x^4+44*x^3+39*x^2+7*x+4", "y^2=7*x^5+55*x^4+30*x^3+x^2+21*x+4", "y^2=21*x^6+25*x^5+9*x^4+15*x^3+18*x^2+39*x+41", "y^2=40*x^6+16*x^5+26*x^4+29*x^3+44*x^2+48*x+4", "y^2=13*x^6+48*x^5+8*x^4+33*x^3+x^2+37*x+10", "y^2=36*x^6+3*x^5+22*x^4+22*x^3+47*x^2+15*x+56", "y^2=31*x^6+34*x^5+8*x^4+12*x^3+54*x^2+50*x+40", "y^2=58*x^6+52*x^5+53*x^4+51*x^3+53*x^2+57*x+55", "y^2=x^6+40*x^5+25*x^4+36*x^3+25*x^2+14*x+55", "y^2=19*x^6+28*x^5+5*x^4+17*x^3+20*x^2+45*x+10", "y^2=7*x^6+3*x^5+27*x^4+2*x^3+34*x^2+11*x+55", "y^2=58*x^6+18*x^5+9*x^4+24*x^3+50*x^2+55*x+53", "y^2=48*x^6+52*x^5+19*x^4+5*x^3+2*x^2+29*x+34", "y^2=2*x^6+55*x^5+18*x^4+32*x^3+2*x^2+20*x+46", "y^2=19*x^6+16*x^5+14*x^4+29*x^3+33*x^2+45*x+48", "y^2=9*x^6+6*x^5+4*x^4+22*x^3+57*x^2+54*x+31", "y^2=8*x^6+19*x^5+5*x^4+6*x^3+54*x^2+23*x+35", "y^2=49*x^6+55*x^5+20*x^4+48*x^3+7*x^2+41*x+44", "y^2=21*x^6+36*x^5+25*x^4+20*x^3+50*x^2+32*x+57", "y^2=51*x^6+17*x^5+19*x^4+8*x^3+27*x^2+19*x+55", "y^2=9*x^6+33*x^5+9*x^4+x^3+26*x^2+27*x+46", "y^2=43*x^6+14*x^5+50*x^4+14*x^3+31*x^2+43*x+30", "y^2=6*x^6+51*x^5+54*x^4+39*x^3+13*x^2+34*x+27", "y^2=29*x^6+57*x^5+11*x^4+15*x^3+8*x^2+39*x+27", "y^2=48*x^6+50*x^5+55*x^4+21*x^3+18*x^2+39*x+32", "y^2=22*x^6+17*x^4+2*x^3+3*x^2+25*x+29", "y^2=51*x^6+52*x^5+43*x^4+32*x^3+49*x^2+28*x+29", "y^2=14*x^6+24*x^5+5*x^4+2*x^3+3*x^2+29*x+44", "y^2=39*x^6+19*x^5+24*x^4+14*x^3+30*x^2+32*x+38", "y^2=39*x^6+30*x^5+8*x^4+48*x^3+11*x^2+50*x+23", "y^2=54*x^6+41*x^5+46*x^4+5*x^3+7*x^2+34*x+21", "y^2=51*x^6+57*x^5+49*x^4+16*x^3+13*x^2+55*x+45", "y^2=30*x^6+16*x^5+32*x^4+41*x^3+36*x^2+29*x+52", "y^2=37*x^6+17*x^5+43*x^4+5*x^3+47*x^2+44*x+53", "y^2=55*x^6+23*x^5+47*x^4+50*x^3+19*x^2+50*x+9", "y^2=28*x^6+10*x^5+16*x^4+43*x^3+2*x^2+42", "y^2=13*x^6+42*x^5+34*x^4+44*x^3+54*x^2+23*x+29", "y^2=55*x^6+18*x^5+32*x^4+10*x^3+9*x^2+13*x+2", "y^2=45*x^6+34*x^5+3*x^3+57*x+49", "y^2=4*x^6+49*x^5+22*x^4+58*x^3+22*x^2+15*x+9", "y^2=35*x^6+15*x^5+19*x^4+29*x^3+5*x^2+13", "y^2=50*x^6+44*x^5+46*x^4+53*x^2+38*x+18", "y^2=23*x^6+32*x^5+31*x^4+29*x^3+23*x^2+23*x+58", "y^2=4*x^6+29*x^5+9*x^4+41*x^3+6*x^2+55*x+37", "y^2=46*x^6+45*x^5+57*x^4+25*x^3+49*x^2+x+4"], "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": 1, "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": ["4.0.279684416.1"], "geometric_splitting_field": "4.0.279684416.1", "geometric_splitting_polynomials": [[2602, 32, 84, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 56, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 56, "label": "2.59.k_eq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.279684416.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 11, 1, 28], [1, 11, 3, 2]], "poly": [1, 10, 120, 590, 3481], "poly_str": "1 10 120 590 3481 ", "primitive_models": [], "principal_polarization_count": 56, "q": 59, "real_poly": [1, 10, 2], "simple_distinct": ["2.59.k_eq"], "simple_factors": ["2.59.k_eqA"], "simple_multiplicities": [1], "singular_primes": [], "size": 56, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.279684416.1", "splitting_polynomials": [[2602, 32, 84, -2, 1]], "twist_count": 2, "twists": [["2.59.ak_eq", "2.3481.fk_odu", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 56, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 33044, "zfv_singular_count": 0, "zfv_singular_primes": []}