# Stored data for abelian variety isogeny class 2.89.o_it, downloaded from the LMFDB on 26 May 2026.
{"abvar_count": 9409, "abvar_counts": [9409, 64818601, 494833461136, 3936488669722249, 31183299211319534449, 246989490375905590706176, 1956410442236255482070209729, 15496732408114329695571662674569, 122749609390261784537776742512448656, 972299657240317029575725253820536848201], "abvar_counts_str": "9409 64818601 494833461136 3936488669722249 31183299211319534449 246989490375905590706176 1956410442236255482070209729 15496732408114329695571662674569 122749609390261784537776742512448656 972299657240317029575725253820536848201 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.620984762851808, 0.620984762851808], "center_dim": 2, "curve_count": 104, "curve_counts": [104, 8180, 701918, 62740644, 5584342264, 496979453486, 44231322587416, 3936589055394244, 350356403055062222, 31181719912310542100], "curve_counts_str": "104 8180 701918 62740644 5584342264 496979453486 44231322587416 3936589055394244 350356403055062222 31181719912310542100 ", "curves": ["y^2=20*x^6+71*x^5+79*x^4+44*x^3+34*x^2+34*x+79", "y^2=69*x^6+37*x^5+3*x^4+23*x^3+50*x^2+7*x+9", "y^2=34*x^6+74*x^5+70*x^4+47*x^3+23*x^2+15*x+88", "y^2=3*x^6+72*x^5+45*x^4+2*x^3+39*x^2+76*x+87", "y^2=25*x^6+32*x^5+11*x^4+37*x^3+25*x^2+2*x+88", "y^2=50*x^6+18*x^5+46*x^4+10*x^3+80*x^2+71*x+77", "y^2=61*x^6+46*x^5+51*x^4+14*x^3+15*x^2+28*x+33", "y^2=32*x^6+86*x^5+18*x^4+39*x^3+12*x^2+26*x+26", "y^2=59*x^6+38*x^5+65*x^4+73*x^3+52*x^2+6*x+64", "y^2=15*x^6+51*x^5+27*x^4+27*x^3+47*x^2+26*x+5", "y^2=64*x^6+71*x^5+29*x^4+86*x^3+24*x^2+79*x+55", "y^2=69*x^6+80*x^5+84*x^4+20*x^3+77*x^2+34*x+52", "y^2=6*x^6+73*x^5+36*x^4+51*x^3+47*x^2+23*x+27", "y^2=62*x^6+2*x^5+23*x^4+3*x^3+75*x^2+54*x+49", "y^2=74*x^6+30*x^5+28*x^4+65*x^3+72*x^2+87*x+39", "y^2=79*x^6+45*x^5+4*x^4+76*x^3+73*x^2+24*x+41", "y^2=64*x^6+14*x^5+67*x^4+20*x^3+42*x^2+22*x+82", "y^2=43*x^6+66*x^5+56*x^4+53*x^3+75*x^2+82*x+48", "y^2=33*x^6+34*x^5+66*x^4+56*x^3+42*x^2+7*x+30", "y^2=9*x^6+22*x^5+72*x^4+56*x^3+12*x^2+42*x+78", "y^2=78*x^6+87*x^5+2*x^4+25*x^3+18*x^2+52*x+77", "y^2=37*x^6+46*x^5+69*x^3+48*x^2+60*x+36", "y^2=11*x^6+55*x^5+4*x^3+21*x+73", "y^2=65*x^6+63*x^5+15*x^4+40*x^2+15*x+16", "y^2=45*x^6+6*x^5+69*x^4+87*x^3+36*x^2+9*x+8", "y^2=42*x^6+28*x^5+46*x^4+60*x^3+49*x^2+39*x+15", "y^2=45*x^6+6*x^5+47*x^4+26*x^3+88*x^2+33*x+79", "y^2=40*x^6+68*x^5+39*x^4+22*x^3+21*x^2+55*x+44", "y^2=45*x^6+73*x^5+11*x^4+57*x^3+21*x^2+8*x+8", "y^2=32*x^6+41*x^5+77*x^4+30*x^3+41*x^2+6*x+42", "y^2=8*x^6+64*x^5+34*x^4+12*x^3+78*x^2+88*x+20", "y^2=85*x^6+6*x^5+51*x^4+41*x^3+39*x^2+23*x+9", "y^2=88*x^6+26*x^5+76*x^4+81*x^3+46*x^2+3*x+28", "y^2=15*x^6+39*x^5+17*x^4+48*x^3+21*x^2+42*x+20", "y^2=55*x^6+9*x^5+66*x^4+57*x^3+67*x^2+80*x+81", "y^2=13*x^6+61*x^5+8*x^4+84*x^3+88*x^2+83*x+37", "y^2=87*x^6+2*x^5+24*x^4+30*x^3+13*x^2+25*x+5", "y^2=4*x^6+37*x^5+39*x^4+48*x^3+25*x^2+20*x+68", "y^2=84*x^6+74*x^5+10*x^4+34*x^3+36*x^2+72*x+60", "y^2=80*x^6+39*x^5+43*x^4+47*x^3+71*x^2+35*x+87", "y^2=45*x^6+33*x^5+38*x^4+13*x^3+6*x^2+56*x+55", "y^2=76*x^6+56*x^5+62*x^4+46*x^3+9*x^2+20*x+28"], "dim1_distinct": 1, "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, "g": 2, "galois_groups": ["2T1"], "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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.307.1"], "geometric_splitting_field": "2.0.307.1", "geometric_splitting_polynomials": [[77, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 42, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 42, "label": "2.89.o_it", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [97], "number_fields": ["2.0.307.1"], "p": 89, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 14, 227, 1246, 7921], "poly_str": "1 14 227 1246 7921 ", "primitive_models": [], "q": 89, "real_poly": [1, 14, 49], "simple_distinct": ["1.89.h"], "simple_factors": ["1.89.hA", "1.89.hB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.307.1", "splitting_polynomials": [[77, -1, 1]], "twist_count": 6, "twists": [["2.89.ao_it", "2.7921.jy_bwbj", 2], ["2.89.a_ez", "2.7921.jy_bwbj", 2], ["2.89.ah_abo", "2.704969.aenk_iesmw", 3], ["2.89.a_aez", "2.62742241.acjm_kpzwid", 4], ["2.89.h_abo", "2.496981290961.aeaoee_iuvzleric", 6]]}