# Stored data for abelian variety isogeny class 2.61.ay_jx, downloaded from the LMFDB on 12 February 2026.
{"abvar_count": 2491, "abvar_counts": [2491, 13618297, 51585620800, 191743238558025, 713331744448229731, 2654331885070267494400, 9876826762457497608048331, 36751696188633370639649025225, 136753056669937085030627740091200, 508858111958598842597433934752677737], "abvar_counts_str": "2491 13618297 51585620800 191743238558025 713331744448229731 2654331885070267494400 9876826762457497608048331 36751696188633370639649025225 136753056669937085030627740091200 508858111958598842597433934752677737 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0900194921158871, 0.304548188779806], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 38, "curve_counts": [38, 3660, 227270, 13848436, 844583078, 51520042662, 3142740999758, 191707325161636, 11694146420296190, 713342914941697980], "curve_counts_str": "38 3660 227270 13848436 844583078 51520042662 3142740999758 191707325161636 11694146420296190 713342914941697980 ", "curves": ["y^2=4*x^6+48*x^5+39*x^3+48*x+4", "y^2=8*x^6+36*x^5+60*x^4+9*x^3+48*x^2+59*x+59", "y^2=4*x^6+51*x^5+36*x^4+44*x^3+33*x^2+48*x+38", "y^2=47*x^6+3*x^5+60*x^4+44*x^3+52*x^2+15*x+31", "y^2=42*x^6+54*x^5+51*x^4+55*x^3+50*x^2+11*x+21", "y^2=53*x^6+10*x^5+x^4+15*x^3+34*x^2+7*x+31", "y^2=40*x^6+53*x^5+x^4+17*x^3+46*x^2+27*x+30", "y^2=x^6+33*x^5+12*x^4+59*x^3+6*x^2+2*x+26", "y^2=11*x^6+38*x^5+59*x^4+27*x^3+59*x^2+38*x+11", "y^2=21*x^6+26*x^5+52*x^4+5*x^3+52*x^2+26*x+21", "y^2=5*x^6+6*x^5+17*x^4+10*x^3+53*x^2+39*x+55"], "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": 4, "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": ["2.0.19.1", "2.0.163.1"], "geometric_splitting_field": "4.0.9591409.2", "geometric_splitting_polynomials": [[1296, 0, 91, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 11, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 11, "label": "2.61.ay_jx", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.19.1", "2.0.163.1"], "p": 61, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -24, 257, -1464, 3721], "poly_str": "1 -24 257 -1464 3721 ", "primitive_models": [], "q": 61, "real_poly": [1, -24, 135], "simple_distinct": ["1.61.ap", "1.61.aj"], "simple_factors": ["1.61.apA", "1.61.ajA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,F^2-7*F+53", "3,F^2+4*F+V+67"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.9591409.2", "splitting_polynomials": [[1296, 0, 91, 0, 1]], "twist_count": 4, "twists": [["2.61.ag_an", "2.3721.ack_etv", 2], ["2.61.g_an", "2.3721.ack_etv", 2], ["2.61.y_jx", "2.3721.ack_etv", 2]], "weak_equivalence_count": 4, "zfv_index": 36, "zfv_index_factorization": [[2, 2], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 3097, "zfv_singular_count": 4, "zfv_singular_primes": ["2,F^2-7*F+53", "3,F^2+4*F+V+67"]}