# Stored data for abelian variety isogeny class 2.89.g_acb, downloaded from the LMFDB on 07 October 2026.
{"abvar_count": 8409, "abvar_counts": [8409, 61629561, 498938798736, 3936859933609449, 31182553568567486649, 246989895593988090249216, 1956410534591570478760419369, 15496731004732371703703281659849, 122749609430518329494045827056990096, 972299658137534612736450548294798444601], "abvar_counts_str": "8409 61629561 498938798736 3936859933609449 31182553568567486649 246989895593988090249216 1956410534591570478760419369 15496731004732371703703281659849 122749609430518329494045827056990096 972299658137534612736450548294798444601 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.26967765535554, 0.936344322022207], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 96, "curve_counts": [96, 7780, 707742, 62746564, 5584208736, 496980268846, 44231324675424, 3936588698897284, 350356403169963918, 31181719941084374500], "curve_counts_str": "96 7780 707742 62746564 5584208736 496980268846 44231324675424 3936588698897284 350356403169963918 31181719941084374500 ", "curves": ["y^2=35*x^6+27*x^5+36*x^4+20*x^3+70*x^2+5*x+35", "y^2=6*x^6+71*x^5+47*x^4+66*x^3+49*x^2+54*x+6", "y^2=67*x^6+36*x^5+68*x^4+3*x^3+3*x^2+10*x+67", "y^2=9*x^6+88*x^5+27*x^4+60*x^3+78*x^2+55*x+9", "y^2=69*x^6+50*x^5+73*x^4+52*x^3+57*x^2+8*x+69", "y^2=53*x^6+46*x^5+36*x^4+16*x^3+67*x^2+5*x+53", "y^2=60*x^6+65*x^5+23*x^4+54*x^3+64*x^2+28*x+60", "y^2=60*x^6+48*x^5+25*x^4+54*x^3+62*x^2+45*x+60", "y^2=46*x^6+14*x^5+61*x^4+67*x^3+58*x^2+84*x+46", "y^2=7*x^6+38*x^5+83*x^4+46*x^3+87*x^2+4*x+7", "y^2=59*x^6+52*x^5+77*x^4+39*x^3+79*x^2+35*x+59", "y^2=24*x^6+81*x^5+7*x^4+27*x^3+51*x^2+63*x+24", "y^2=58*x^6+81*x^5+31*x^4+59*x^3+51*x^2+58", "y^2=24*x^6+68*x^5+81*x^4+62*x^3+12*x^2+76*x+24"], "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": 6, "g": 2, "galois_groups": ["4T2"], "geom_dim1_distinct": 1, "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": 2, "geometric_extension_degree": 3, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.20.1"], "geometric_splitting_field": "2.0.20.1", "geometric_splitting_polynomials": [[5, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 14, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 14, "label": "2.89.g_acb", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.3600.3"], "p": 89, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 6, -53, 534, 7921], "poly_str": "1 6 -53 534 7921 ", "primitive_models": [], "q": 89, "real_poly": [1, 6, -231], "simple_distinct": ["2.89.g_acb"], "simple_factors": ["2.89.g_acbA"], "simple_multiplicities": [1], "singular_primes": ["2,-F^2+7*F-14*V-83", "53,111*F-205*V-1253"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.3600.3", "splitting_polynomials": [[25, 0, -5, 0, 1]], "twist_count": 6, "twists": [["2.89.ag_acb", "2.7921.afm_scx", 2], ["2.89.am_ig", "2.704969.ecq_hhnkw", 3], ["2.89.ag_acb", "2.496981290961.acgeae_gahbnntac", 6], ["2.89.a_fm", "2.496981290961.acgeae_gahbnntac", 6], ["2.89.m_ig", "2.496981290961.acgeae_gahbnntac", 6], ["2.89.a_afm", "2.246990403565262140303521.hamftefzo_xqrguckqrwrzwkubm", 12]], "weak_equivalence_count": 6, "zfv_index": 848, "zfv_index_factorization": [[2, 4], [53, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 4, "zfv_plus_index_factorization": [[2, 2]], "zfv_plus_norm": 2809, "zfv_singular_count": 4, "zfv_singular_primes": ["2,-F^2+7*F-14*V-83", "53,111*F-205*V-1253"]}