# Stored data for abelian variety isogeny class 2.59.y_ju, downloaded from the LMFDB on 12 October 2025.
{"abvar_count": 5176, "abvar_counts": [5176, 11884096, 42136040632, 146859475166208, 511123978285290616, 1779184404952355028544, 6193391680779973845446008, 21559177845255603048829304832, 75047494578818585763210058508728, 261240336872824359745561284604949056], "abvar_counts_str": "5176 11884096 42136040632 146859475166208 511123978285290616 1779184404952355028544 6193391680779973845446008 21559177845255603048829304832 75047494578818585763210058508728 261240336872824359745561284604949056 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.703648130929461, 0.91583754666234], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 84, "curve_counts": [84, 3414, 205164, 12119758, 714934404, 42180225126, 2488653681948, 146830440588574, 8662995590649012, 511116755977594614], "curve_counts_str": "84 3414 205164 12119758 714934404 42180225126 2488653681948 146830440588574 8662995590649012 511116755977594614 ", "curves": ["y^2=3*x^6+31*x^5+54*x^4+33*x^3+30*x^2+50*x+21", "y^2=12*x^6+16*x^5+25*x^4+37*x^3+24*x^2+21*x", "y^2=17*x^6+42*x^5+34*x^4+30*x^3+8*x^2+55*x+9", "y^2=48*x^6+42*x^5+x^4+29*x^3+19*x^2+20", "y^2=53*x^6+3*x^5+46*x^4+9*x^2+4*x+30", "y^2=11*x^6+33*x^5+45*x^4+7*x^3+10*x^2+2*x+15", "y^2=3*x^6+34*x^5+57*x^4+42*x^3+12*x^2+46*x+51", "y^2=22*x^6+31*x^5+49*x^4+37*x^3+40*x^2+40*x+24", "y^2=2*x^6+2*x^5+39*x^4+2*x^3+21*x^2+3*x+55", "y^2=35*x^6+17*x^5+32*x^4+26*x^3+45*x^2+34*x+29", "y^2=40*x^6+34*x^5+9*x^4+33*x^3+34*x^2+30*x+45", "y^2=35*x^6+32*x^5+49*x^4+2*x^3+52*x^2+24*x+28", "y^2=26*x^6+37*x^5+34*x^4+29*x^3+53*x^2+23*x+1", "y^2=19*x^6+21*x^5+32*x^4+14*x^3+39*x^2+42*x+13", "y^2=51*x^6+23*x^5+34*x^4+17*x^3+44*x^2+4*x+50", "y^2=44*x^6+46*x^5+11*x^4+26*x^3+52*x^2+34*x+44", "y^2=34*x^6+2*x^5+43*x^4+32*x^3+45*x^2+51*x+31", "y^2=41*x^6+57*x^5+12*x^4+31*x^3+44*x^2+53*x+20", "y^2=12*x^6+22*x^5+43*x^4+21*x^3+22*x^2+24*x+2", "y^2=x^6+14*x^5+51*x^4+34*x^3+40*x^2+49*x+31", "y^2=19*x^6+14*x^5+43*x^4+41*x^3+31*x^2+49*x+48", "y^2=29*x^6+39*x^5+6*x^4+50*x^3+13*x^2+52*x+20", "y^2=26*x^6+35*x^5+36*x^4+18*x^3+8*x^2+3*x+36", "y^2=17*x^6+6*x^5+11*x^4+21*x^3+22*x^2+48*x+1", "y^2=46*x^6+20*x^5+40*x^4+44*x^3+47*x^2+49*x+37", "y^2=40*x^6+40*x^5+36*x^4+43*x^3+4*x^2+39*x+49", "y^2=53*x^6+34*x^5+2*x^4+36*x^3+27*x^2+5*x+22", "y^2=20*x^6+43*x^5+40*x^4+20*x^3+4*x^2+18*x+53"], "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.y_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, "pic_prime_gens": [[1, 7, 1, 8], [1, 3, 1, 2]], "poly": [1, 24, 254, 1416, 3481], "poly_str": "1 24 254 1416 3481 ", "primitive_models": [], "principal_polarization_count": 28, "q": 59, "real_poly": [1, 24, 136], "simple_distinct": ["2.59.y_ju"], "simple_factors": ["2.59.y_juA"], "simple_multiplicities": [1], "singular_primes": ["2,2*F^2-F-3"], "size": 44, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.39168.3", "splitting_polynomials": [[46, -12, 14, 0, 1]], "twist_count": 2, "twists": [["2.59.ay_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_pic_size": 16, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 2448, "zfv_singular_count": 2, "zfv_singular_primes": ["2,2*F^2-F-3"]}