# Stored data for abelian variety isogeny class 2.59.y_jy, downloaded from the LMFDB on 06 September 2025.
{"abvar_count": 5180, "abvar_counts": [5180, 11914000, 42077228060, 146921541760000, 511081769781251900, 1779204076881005866000, 6193386085010417566602140, 21559177940880636011612160000, 75047495452283073741504450863420, 261240336341582530341312916323850000], "abvar_counts_str": "5180 11914000 42077228060 146921541760000 511081769781251900 1779204076881005866000 6193386085010417566602140 21559177940880636011612160000 75047495452283073741504450863420 261240336341582530341312916323850000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.725626973200426, 0.864937436950821], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 84, "curve_counts": [84, 3422, 204876, 12124878, 714875364, 42180691502, 2488651433436, 146830441239838, 8662995691476084, 511116754938219902], "curve_counts_str": "84 3422 204876 12124878 714875364 42180691502 2488651433436 146830441239838 8662995691476084 511116754938219902 ", "curves": ["y^2=19*x^6+10*x^5+31*x^4+7*x^3+31*x^2+10*x+19", "y^2=25*x^6+40*x^5+49*x^4+33*x^3+37*x^2+52*x+36", "y^2=30*x^6+x^5+16*x^4+32*x^3+51*x^2+16*x+34", "y^2=36*x^6+3*x^5+41*x^4+25*x^3+41*x^2+3*x+36", "y^2=29*x^6+16*x^5+27*x^4+39*x^3+27*x^2+16*x+29", "y^2=48*x^6+12*x^5+2*x^4+5*x^3+10*x^2+5*x+41", "y^2=39*x^6+38*x^5+23*x^4+27*x^3+40*x^2+44*x+14", "y^2=19*x^6+28*x^5+58*x^4+25*x^3+40*x^2+6*x+46", "y^2=57*x^6+6*x^5+32*x^4+6*x^3+32*x^2+6*x+57", "y^2=37*x^6+5*x^5+49*x^4+38*x^3+21*x^2+25*x+54", "y^2=29*x^6+13*x^5+55*x^4+28*x^3+38*x^2+8*x+12", "y^2=40*x^6+5*x^5+27*x^4+18*x^3+37*x+50", "y^2=8*x^6+34*x^5+23*x^4+45*x^3+51*x^2+43*x+35", "y^2=46*x^6+52*x^5+15*x^4+43*x^3+33*x^2+8*x+1", "y^2=17*x^6+9*x^5+33*x^4+23*x^3+19*x^2+21*x+27", "y^2=44*x^6+20*x^4+2*x^3+20*x^2+44", "y^2=49*x^6+57*x^5+40*x^4+21*x^3+37*x^2+37*x+35", "y^2=9*x^6+28*x^5+5*x^4+9*x^3+28*x^2+20*x+45", "y^2=49*x^6+44*x^5+52*x^4+6*x^3+14*x^2+5", "y^2=26*x^6+24*x^5+30*x^4+12*x^3+54*x^2+40*x+19", "y^2=35*x^6+23*x^5+53*x^4+10*x^3+8*x^2+18*x+17", "y^2=15*x^6+11*x^5+14*x^4+21*x^3+8*x^2+6*x+20", "y^2=8*x^6+36*x^5+31*x^4+6*x^3+58*x^2+56*x+34", "y^2=27*x^6+12*x^5+48*x^4+47*x^3+36*x^2+8*x+35", "y^2=27*x^6+23*x^5+13*x^4+3*x^3+8*x^2+53*x+10", "y^2=19*x^6+38*x^5+17*x^4+5*x^3+17*x^2+38*x+19", "y^2=20*x^6+46*x^5+18*x^3+46*x+20", "y^2=19*x^6+19*x^5+58*x^4+51*x^3+23*x^2+21*x+48", "y^2=3*x^6+5*x^5+52*x^4+17*x^3+29*x^2+55*x+9", "y^2=57*x^6+36*x^5+20*x^4+45*x^3+20*x^2+36*x+57", "y^2=45*x^6+18*x^5+29*x^4+26*x^3+14*x^2+44*x+54", "y^2=58*x^6+30*x^5+15*x^4+19*x^3+26*x^2+39*x+30"], "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": 5, "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": ["2.0.136.1", "2.0.40.1"], "geometric_splitting_field": "4.0.462400.1", "geometric_splitting_polynomials": [[36, 0, 22, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 32, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 32, "label": "2.59.y_jy", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.136.1", "2.0.40.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 4], [2, 5, 1, 2], [1, 7, 1, 4]], "poly": [1, 24, 258, 1416, 3481], "poly_str": "1 24 258 1416 3481 ", "primitive_models": [], "principal_polarization_count": 40, "q": 59, "real_poly": [1, 24, 140], "simple_distinct": ["1.59.k", "1.59.o"], "simple_factors": ["1.59.kA", "1.59.oA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-V-3"], "size": 80, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.462400.1", "splitting_polynomials": [[36, 0, 22, 0, 1]], "twist_count": 4, "twists": [["2.59.ay_jy", "2.3481.aci_ifu", 2], ["2.59.ae_aw", "2.3481.aci_ifu", 2], ["2.59.e_aw", "2.3481.aci_ifu", 2]], "weak_equivalence_count": 5, "zfv_index": 16, "zfv_index_factorization": [[2, 4]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 32, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 5440, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-V-3"]}