# Stored data for abelian variety isogeny class 2.83.ap_im, downloaded from the LMFDB on 03 March 2026.
{"abvar_count": 5850, "abvar_counts": [5850, 48964500, 328538737800, 2252455136100000, 15515287566434691750, 106889474081641888728000, 736365335455153540952284950, 5072820607843569672932739600000, 34946659181218088060627748876671400, 240747534057200470287562548665518612500], "abvar_counts_str": "5850 48964500 328538737800 2252455136100000 15515287566434691750 106889474081641888728000 736365335455153540952284950 5072820607843569672932739600000 34946659181218088060627748876671400 240747534057200470287562548665518612500 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.335556542753297, 0.393189690303089], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 69, "curve_counts": [69, 7105, 574578, 47461753, 3938849319, 326938741090, 27136053648213, 2252292369283633, 186940256025669894, 15516041182960701025], "curve_counts_str": "69 7105 574578 47461753 3938849319 326938741090 27136053648213 2252292369283633 186940256025669894 15516041182960701025 ", "curves": ["y^2=54*x^6+69*x^5+60*x^4+80*x^3+63*x^2+47*x+60", "y^2=74*x^6+49*x^5+14*x^4+2*x^3+65*x^2+41*x+76", "y^2=13*x^6+12*x^5+23*x^4+67*x^3+20*x^2+15*x+30", "y^2=60*x^6+45*x^5+3*x^4+30*x^3+50*x^2+54*x+22", "y^2=33*x^6+74*x^5+31*x^4+46*x^3+70*x^2+60*x+13", "y^2=2*x^6+37*x^5+6*x^4+19*x^3+70*x^2+68*x+80", "y^2=52*x^6+64*x^5+2*x^4+28*x^3+39*x^2+2*x+26", "y^2=15*x^6+25*x^5+64*x^4+82*x^3+82*x^2+78*x+82", "y^2=46*x^6+28*x^5+27*x^4+14*x^3+55*x^2+21*x+21", "y^2=11*x^6+3*x^5+20*x^4+49*x^3+9*x^2+57*x+59", "y^2=48*x^6+32*x^5+36*x^4+53*x^3+52*x^2+18*x+79", "y^2=56*x^6+78*x^5+45*x^4+37*x^3+76*x^2+35*x+60", "y^2=28*x^6+59*x^5+41*x^4+45*x^3+25*x^2+21*x+57", "y^2=43*x^6+76*x^5+41*x^4+77*x^3+2*x^2+19*x+64", "y^2=52*x^6+41*x^5+16*x^4+34*x^3+68*x^2+74*x+79", "y^2=9*x^6+79*x^5+59*x^3+65*x^2+70*x+76", "y^2=45*x^6+52*x^5+40*x^4+19*x^3+80*x^2+30*x+18", "y^2=45*x^6+30*x^5+46*x^4+6*x^3+72*x^2+61*x+44", "y^2=3*x^6+37*x^5+6*x^4+19*x^3+63*x^2+48*x+21", "y^2=45*x^6+56*x^5+18*x^4+33*x^3+53*x^2+61*x+18", "y^2=67*x^6+81*x^5+75*x^4+9*x^3+37*x^2+28*x+77", "y^2=25*x^6+5*x^5+76*x^4+39*x^3+64*x^2+3*x+14", "y^2=39*x^6+10*x^5+10*x^4+x^3+x^2+74*x+19", "y^2=78*x^6+32*x^5+56*x^4+63*x^3+36*x^2+18*x+58", "y^2=34*x^6+76*x^5+59*x^4+16*x^3+24*x^2+41*x+34", "y^2=62*x^6+66*x^5+73*x^4+26*x^3+76*x^2+41*x+70", "y^2=49*x^6+50*x^5+26*x^4+81*x^3+66*x^2+21*x+54", "y^2=55*x^6+30*x^5+49*x^4+18*x^3+72*x^2+54*x+41", "y^2=16*x^6+59*x^5+27*x^4+52*x^3+41*x^2+82*x+78", "y^2=59*x^6+13*x^5+11*x^4+71*x^2+60*x+66", "y^2=68*x^6+48*x^5+27*x^4+34*x^3+51*x^2+66*x+50", "y^2=66*x^6+49*x^5+58*x^4+27*x^3+42*x^2+43*x+20", "y^2=48*x^6+73*x^5+34*x^4+81*x^3+39*x^2+70*x+40", "y^2=35*x^6+30*x^5+25*x^4+40*x^3+68*x^2+33*x+63", "y^2=35*x^6+41*x^5+36*x^4+63*x^3+78*x^2+13*x+57", "y^2=73*x^6+46*x^5+17*x^4+27*x^3+65*x^2+19*x+75", "y^2=7*x^6+76*x^5+21*x^4+61*x^3+21*x^2+30*x+34", "y^2=51*x^6+5*x^5+73*x^4+53*x^3+24*x^2+68*x+81", "y^2=64*x^6+55*x^5+25*x^4+11*x^3+26*x^2+57*x+74", "y^2=57*x^6+4*x^5+43*x^4+67*x^3+63*x^2+56*x+20", "y^2=34*x^6+53*x^5+73*x^4+33*x^3+65*x^2+42*x+9", "y^2=34*x^6+23*x^5+39*x^4+24*x^3+77*x^2+43*x+11", "y^2=82*x^6+36*x^5+43*x^4+39*x^3+75*x^2+2*x+60", "y^2=60*x^6+13*x^5+79*x^4+81*x^3+69*x^2+6*x+60", "y^2=37*x^6+82*x^5+19*x^4+31*x^3+22*x^2+16*x+52", "y^2=82*x^6+20*x^5+40*x^4+33*x^3+71*x^2+9*x+7", "y^2=50*x^6+67*x^5+14*x^4+24*x^3+9*x^2+11*x+6", "y^2=53*x^6+20*x^5+50*x^4+72*x^3+25*x^2+38*x+67", "y^2=44*x^6+64*x^5+25*x^4+61*x^3+20*x^2+17*x+26", "y^2=19*x^6+62*x^5+79*x^4+46*x^3+30*x^2+41*x+29", "y^2=9*x^6+30*x^5+60*x^4+46*x^3+64*x^2+73*x+22", "y^2=8*x^6+20*x^5+60*x^4+13*x^3+2*x^2+14*x+30", "y^2=16*x^6+5*x^5+8*x^4+20*x^3+81*x^2+5*x+16", "y^2=34*x^6+22*x^5+3*x^4+30*x^3+39*x^2+71*x+44", "y^2=66*x^6+45*x^5+64*x^4+10*x^3+50*x^2+51*x+34", "y^2=52*x^6+20*x^5+8*x^4+55*x^3+29*x^2+47*x+42", "y^2=72*x^6+65*x^5+46*x^4+41*x^3+36*x^2+37*x+41", "y^2=71*x^6+42*x^5+57*x^4+22*x^3+69*x^2+19*x+36", "y^2=60*x^6+73*x^5+82*x^4+71*x^3+8*x^2+61*x+76", "y^2=66*x^6+60*x^5+50*x^4+48*x^3+28*x^2+66*x+76", "y^2=62*x^6+31*x^5+39*x^4+13*x^3+19*x^2+31*x+42", "y^2=19*x^6+24*x^5+32*x^4+16*x^3+49*x^2+76*x+22", "y^2=34*x^6+62*x^5+22*x^4+64*x^3+27*x^2+68*x+70", "y^2=47*x^6+49*x^5+33*x^4+61*x^3+47*x+24", "y^2=69*x^6+46*x^5+45*x^4+78*x^3+81*x^2+41*x+82", "y^2=61*x^6+20*x^5+78*x^4+66*x^3+25*x^2+29*x+24", "y^2=44*x^6+68*x^5+54*x^4+6*x^3+69*x^2+82*x+23", "y^2=17*x^6+8*x^5+3*x^4+5*x^3+11*x^2+40*x+40", "y^2=40*x^6+41*x^5+60*x^4+33*x^3+8*x^2+21*x+78", "y^2=43*x^6+60*x^5+32*x^4+75*x^3+61*x^2+44*x+2"], "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": ["2.0.251.1", "2.0.296.1"], "geometric_splitting_polynomials": [[195, -274, 275, -2, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 70, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 70, "label": "2.83.ap_im", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["2.0.251.1", "2.0.296.1"], "p": 83, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -15, 220, -1245, 6889], "poly_str": "1 -15 220 -1245 6889 ", "primitive_models": [], "q": 83, "real_poly": [1, -15, 54], "simple_distinct": ["1.83.aj", "1.83.ag"], "simple_factors": ["1.83.ajA", "1.83.agA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,-V+19", "3,-V+8"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_polynomials": [[195, -274, 275, -2, 1]], "twist_count": 4, "twists": [["2.83.ad_ei", "2.6889.ih_bksy", 2], ["2.83.d_ei", "2.6889.ih_bksy", 2], ["2.83.p_im", "2.6889.ih_bksy", 2]], "weak_equivalence_count": 4, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 74296, "zfv_singular_count": 4, "zfv_singular_primes": ["3,-V+19", "3,-V+8"]}