# Stored data for abelian variety isogeny class 2.59.ay_ju, downloaded from the LMFDB on 30 October 2025.
{"abvar_count": 2296, "abvar_counts": [2296, 11884096, 42224764792, 146859475166208, 511109531095036216, 1779184404952355028544, 6193380745008254766252088, 21559177845255603048829304832, 75047498529247387548288671477368, 261240336872824359745561284604949056], "abvar_counts_str": "2296 11884096 42224764792 146859475166208 511109531095036216 1779184404952355028544 6193380745008254766252088 21559177845255603048829304832 75047498529247387548288671477368 261240336872824359745561284604949056 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0841624533376602, 0.296351869070539], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 36, "curve_counts": [36, 3414, 205596, 12119758, 714914196, 42180225126, 2488649287692, 146830440588574, 8662996046660868, 511116755977594614], "curve_counts_str": "36 3414 205596 12119758 714914196 42180225126 2488649287692 146830440588574 8662996046660868 511116755977594614 ", "curves": ["y^2=31*x^6+45*x^5+27*x^4+46*x^3+15*x^2+25*x+40", "y^2=6*x^6+8*x^5+42*x^4+48*x^3+12*x^2+40*x", "y^2=38*x^6+21*x^5+17*x^4+15*x^3+4*x^2+57*x+34", "y^2=37*x^6+25*x^5+2*x^4+58*x^3+38*x^2+40", "y^2=47*x^6+6*x^5+33*x^4+18*x^2+8*x+1", "y^2=22*x^6+7*x^5+31*x^4+14*x^3+20*x^2+4*x+30", "y^2=6*x^6+9*x^5+55*x^4+25*x^3+24*x^2+33*x+43", "y^2=11*x^6+45*x^5+54*x^4+48*x^3+20*x^2+20*x+12", "y^2=x^6+x^5+49*x^4+x^3+40*x^2+31*x+57", "y^2=11*x^6+34*x^5+5*x^4+52*x^3+31*x^2+9*x+58", "y^2=21*x^6+9*x^5+18*x^4+7*x^3+9*x^2+x+31", "y^2=11*x^6+5*x^5+39*x^4+4*x^3+45*x^2+48*x+56", "y^2=52*x^6+15*x^5+9*x^4+58*x^3+47*x^2+46*x+2", "y^2=39*x^6+40*x^5+16*x^4+7*x^3+49*x^2+21*x+36", "y^2=55*x^6+41*x^5+17*x^4+38*x^3+22*x^2+2*x+25", "y^2=29*x^6+33*x^5+22*x^4+52*x^3+45*x^2+9*x+29", "y^2=17*x^6+x^5+51*x^4+16*x^3+52*x^2+55*x+45", "y^2=23*x^6+55*x^5+24*x^4+3*x^3+29*x^2+47*x+40", "y^2=6*x^6+11*x^5+51*x^4+40*x^3+11*x^2+12*x+1", "y^2=2*x^6+28*x^5+43*x^4+9*x^3+21*x^2+39*x+3", "y^2=39*x^6+7*x^5+51*x^4+50*x^3+45*x^2+54*x+24", "y^2=44*x^6+49*x^5+3*x^4+25*x^3+36*x^2+26*x+10", "y^2=52*x^6+11*x^5+13*x^4+36*x^3+16*x^2+6*x+13", "y^2=34*x^6+12*x^5+22*x^4+42*x^3+44*x^2+37*x+2", "y^2=23*x^6+10*x^5+20*x^4+22*x^3+53*x^2+54*x+48", "y^2=20*x^6+20*x^5+18*x^4+51*x^3+2*x^2+49*x+54", "y^2=56*x^6+17*x^5+x^4+18*x^3+43*x^2+32*x+11", "y^2=10*x^6+51*x^5+20*x^4+10*x^3+2*x^2+9*x+56"], "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": 4, "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": ["4.0.39168.3"], "geometric_splitting_field": "4.0.39168.3", "geometric_splitting_polynomials": [[46, -12, 14, 0, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 28, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 28, "label": "2.59.ay_ju", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.39168.3"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -24, 254, -1416, 3481], "poly_str": "1 -24 254 -1416 3481 ", "primitive_models": [], "q": 59, "real_poly": [1, -24, 136], "simple_distinct": ["2.59.ay_ju"], "simple_factors": ["2.59.ay_juA"], "simple_multiplicities": [1], "singular_primes": ["2,F+1"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.39168.3", "splitting_polynomials": [[46, -12, 14, 0, 1]], "twist_count": 2, "twists": [["2.59.y_ju", "2.3481.acq_ffa", 2]], "weak_equivalence_count": 5, "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": 2448, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F+1"]}