# Stored data for abelian variety isogeny class 2.179.abu_bhr, downloaded from the LMFDB on 17 May 2024.
{"label": "2.179.abu_bhr", "g": 2, "p": 179, "q": 179, "poly": [1, -46, 875, -8234, 32041], "poly_str": "1 -46 875 -8234 32041 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.0472350362762325, 0.239477740182876], "angle_rank": 2, "number_fields": ["4.0.753552.2"], "galois_groups": ["4T3"], "center_dim": 4, "abvar_counts": [24637, 1014970489, 32886724678288, 1053970966527948937, 33769953695883889181797, 1082022536291919132138052864, 34669088375353065226485386329021, 1110832287655547954197247583003522633, 35592177415866997511556288759707254293136, 1140408956762075946996568306494361849892936809], "abvar_counts_str": "24637 1014970489 32886724678288 1053970966527948937 33769953695883889181797 1082022536291919132138052864 34669088375353065226485386329021 1110832287655547954197247583003522633 35592177415866997511556288759707254293136 1140408956762075946996568306494361849892936809 ", "abvar_count": 24637, "curve_counts": [134, 31676, 5734052, 1026636084, 183766062634, 32894108488550, 5888046148049374, 1053960286138294180, 188658891680411062556, 33769941616132099339436], "curve_counts_str": "134 31676 5734052 1026636084 183766062634 32894108488550 5888046148049374 1053960286138294180 188658891680411062556 33769941616132099339436 ", "curve_count": 134, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 4, "geometric_number_fields": ["4.0.753552.2"], "geometric_galois_groups": ["4T3"], "primitive_models": [], "is_primitive": true, "twists": [["2.179.bu_bhr", "2.32041.aoc_ecud", 2]], "twist_count": 2, "max_twist_degree": 2, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": true, "simple_distinct": ["2.179.abu_bhr"], "simple_multiplicities": [1], "simple_factors": ["2.179.abu_bhrA"], "dim1_factors": 0, "dim2_factors": 1, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 0, "dim2_distinct": 1, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_factors": 1, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 0, "geom_dim2_distinct": 1, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, -46, 517], "jacobian_count": 24, "curves": ["y^2=110*x^6+119*x^5+133*x^4+47*x^3+97*x^2+77*x+70", "y^2=153*x^6+98*x^5+101*x^4+97*x^3+63*x^2+162*x+165", "y^2=160*x^6+129*x^5+23*x^4+40*x^3+124*x^2+151*x+123", "y^2=40*x^6+18*x^5+31*x^4+47*x^3+83*x^2+8*x+140", "y^2=98*x^6+119*x^5+31*x^4+148*x^3+76*x^2+50*x+55", "y^2=130*x^6+102*x^5+33*x^4+16*x^3+121*x^2+75*x+29", "y^2=121*x^6+108*x^5+20*x^4+155*x^3+144*x^2+98*x+104", "y^2=147*x^6+110*x^5+149*x^4+37*x^3+130*x^2+51*x+15", "y^2=43*x^6+40*x^5+39*x^4+19*x^3+166*x^2+114*x+165", "y^2=178*x^6+137*x^5+80*x^4+136*x^3+110*x^2+39*x+157", "y^2=38*x^6+114*x^5+64*x^4+40*x^3+3*x^2+37*x+2", "y^2=90*x^6+29*x^5+49*x^4+17*x^3+167*x^2+150*x+113", "y^2=99*x^6+160*x^5+169*x^4+144*x^3+160*x^2+175*x+58", "y^2=122*x^6+61*x^5+124*x^4+114*x^3+73*x^2+48*x+33", "y^2=111*x^6+39*x^5+22*x^4+158*x^3+154*x^2+104*x+92", "y^2=155*x^6+77*x^5+157*x^4+73*x^3+60*x^2+104*x+89", "y^2=65*x^6+90*x^5+124*x^4+8*x^3+106*x^2+127*x+168", "y^2=142*x^6+138*x^5+49*x^4+66*x^3+37*x^2+116*x+114", "y^2=154*x^6+94*x^5+20*x^4+80*x^3+32*x^2+79*x+147", "y^2=133*x^6+23*x^5+120*x^4+131*x^3+6*x^2+143*x+50", "y^2=78*x^6+45*x^5+41*x^4+125*x^3+163*x^2+35*x+31", "y^2=165*x^6+136*x^5+66*x^4+31*x^3+163*x^2+x+55", "y^2=43*x^6+118*x^5+110*x^4+165*x^3+55*x^2+171*x+55", "y^2=33*x^6+11*x^5+24*x^4+119*x^3+103*x^2+172*x+82"], "hyp_count": 24, "geometric_splitting_field": "4.0.753552.2", "splitting_field": "4.0.753552.2", "geometric_splitting_polynomials": [[373, -84, 59, 0, 1]], "splitting_polynomials": [[373, -84, 59, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}