# Stored data for abelian variety isogeny class 2.83.a_afp, downloaded from the LMFDB on 06 June 2026.
{"abvar_count": 6745, "abvar_counts": [6745, 45495025, 326940321460, 2251604518655625, 15516041193711118225, 106889973796368136531600, 736365263311686093276866665, 5072820489937588988585920055625, 34946659039493167441597942399285780, 240747534324940342593891773979927150625], "abvar_counts_str": "6745 45495025 326940321460 2251604518655625 15516041193711118225 106889973796368136531600 736365263311686093276866665 5072820489937588988585920055625 34946659039493167441597942399285780 240747534324940342593891773979927150625 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.0809243439274423, 0.919075656072558], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 84, "curve_counts": [84, 6600, 571788, 47443828, 3939040644, 326940269550, 27136050989628, 2252292316934308, 186940255267540404, 15516041200216383000], "curve_counts_str": "84 6600 571788 47443828 3939040644 326940269550 27136050989628 2252292316934308 186940255267540404 15516041200216383000 ", "curves": ["y^2=66*x^6+76*x^5+48*x^4+22*x^3+36*x^2+69*x+41", "y^2=49*x^6+69*x^5+13*x^4+44*x^3+72*x^2+55*x+82", "y^2=70*x^6+4*x^5+19*x^4+82*x^3+78*x^2+24*x+30", "y^2=51*x^6+38*x^5+66*x^4+59*x^3+75*x^2+42*x+17", "y^2=19*x^6+76*x^5+49*x^4+35*x^3+67*x^2+x+34", "y^2=57*x^6+75*x^5+22*x^4+9*x^3+19*x^2+43*x+42", "y^2=31*x^6+67*x^5+44*x^4+18*x^3+38*x^2+3*x+1", "y^2=13*x^6+15*x^5+77*x^4+25*x^3+8*x^2+57*x+44", "y^2=79*x^6+32*x^5+77*x^3+45*x^2+21*x+80", "y^2=17*x^6+58*x^5+77*x^4+x^3+56*x^2+56*x+51", "y^2=7*x^6+34*x^5+5*x^4+53*x^2+45*x+25", "y^2=14*x^6+68*x^5+10*x^4+23*x^2+7*x+50", "y^2=65*x^6+70*x^5+16*x^4+27*x^3+68*x^2+79*x+64", "y^2=38*x^6+18*x^5+7*x^4+53*x^3+20*x^2+62*x+59", "y^2=45*x^6+27*x^5+19*x^4+57*x^3+59*x^2+37*x+1", "y^2=27*x^6+28*x^5+8*x^4+62*x^3+37*x^2+60*x+8", "y^2=54*x^6+56*x^5+16*x^4+41*x^3+74*x^2+37*x+16", "y^2=21*x^6+41*x^5+17*x^4+74*x^3+5*x^2+41*x+77", "y^2=42*x^6+82*x^5+34*x^4+65*x^3+10*x^2+82*x+71", "y^2=71*x^6+21*x^5+24*x^4+2*x^3+36*x^2+20*x+30", "y^2=76*x^6+27*x^5+78*x^4+40*x^3+3*x^2+59*x+4", "y^2=69*x^6+54*x^5+73*x^4+80*x^3+6*x^2+35*x+8", "y^2=66*x^6+57*x^5+45*x^4+28*x^3+61*x^2+44*x+49", "y^2=49*x^6+31*x^5+7*x^4+56*x^3+39*x^2+5*x+15", "y^2=11*x^6+10*x^5+30*x^4+56*x^3+74*x^2+43*x+33", "y^2=22*x^6+20*x^5+60*x^4+29*x^3+65*x^2+3*x+66", "y^2=34*x^6+50*x^5+66*x^4+57*x^3+45*x^2+66", "y^2=68*x^6+17*x^5+49*x^4+31*x^3+7*x^2+49", "y^2=51*x^6+57*x^5+78*x^4+78*x^3+32*x^2+29*x+60", "y^2=19*x^6+31*x^5+73*x^4+73*x^3+64*x^2+58*x+37", "y^2=77*x^6+79*x^5+81*x^4+23*x^3+56*x^2+63*x+72", "y^2=71*x^6+75*x^5+79*x^4+46*x^3+29*x^2+43*x+61", "y^2=26*x^6+29*x^4+75*x^3+54*x^2+52*x+78", "y^2=75*x^6+19*x^5+22*x^4+x^2+3*x+39", "y^2=2*x^6+61*x^5+53*x^4+18*x^3+25*x^2+75*x+52", "y^2=40*x^6+9*x^5+75*x^4+58*x^3+40*x^2+24*x+56"], "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": 1, "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.6531.1"], "geometric_splitting_field": "2.0.6531.1", "geometric_splitting_polynomials": [[1633, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 36, "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": 36, "label": "2.83.a_afp", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.682463376.2"], "p": 83, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 12], [1, 11, 1, 24]], "poly": [1, 0, -145, 0, 6889], "poly_str": "1 0 -145 0 6889 ", "primitive_models": [], "principal_polarization_count": 48, "q": 83, "real_poly": [1, 0, -311], "simple_distinct": ["2.83.a_afp"], "simple_factors": ["2.83.a_afpA"], "simple_multiplicities": [1], "singular_primes": [], "size": 48, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.682463376.2", "splitting_polynomials": [[6889, 0, -145, 0, 1]], "twist_count": 2, "twists": [["2.83.a_fp", "2.47458321.avlm_mkqmbz", 4]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 48, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 441, "zfv_singular_count": 0, "zfv_singular_primes": []}