# Stored data for abelian variety isogeny class 2.73.c_acr, downloaded from the LMFDB on 18 February 2026.
{"abvar_count": 5409, "abvar_counts": [5409, 27656217, 151669744704, 806730107548329, 4297730317125328449, 22902227570094687691776, 122044960287382317372277137, 650377906888702574862272298825, 3465863671823230029068638098824256, 18469587765234143885176292672608069977], "abvar_counts_str": "5409 27656217 151669744704 806730107548329 4297730317125328449 22902227570094687691776 122044960287382317372277137 650377906888702574862272298825 3465863671823230029068638098824256 18469587765234143885176292672608069977 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.204007607440941, 0.870674274107608], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 76, "curve_counts": [76, 5188, 389878, 28407748, 2073121996, 151335412558, 11047393653484, 806460125461636, 58871585863618054, 4297625828097776068], "curve_counts_str": "76 5188 389878 28407748 2073121996 151335412558 11047393653484 806460125461636 58871585863618054 4297625828097776068 ", "curves": ["y^2=71*x^6+71*x^5+65*x^4+21*x^3+20*x^2+25*x+67", "y^2=9*x^6+32*x^5+42*x^4+10*x^3+45*x^2+35*x+39", "y^2=x^6+x^3+23", "y^2=25*x^6+42*x^5+67*x^4+36*x^3+4*x^2+41*x+21", "y^2=x^6+5*x^3+71", "y^2=x^6+x^3+41", "y^2=x^6+x^3+50", "y^2=68*x^6+52*x^5+31*x^4+21*x^3+14*x^2+26*x+22", "y^2=42*x^6+18*x^5+7*x^4+46*x^3+56*x^2+13*x+16", "y^2=x^6+5*x^3+2", "y^2=5*x^6+15*x^5+65*x^4+37*x^3+69*x^2+28*x+5", "y^2=x^6+x^3+12", "y^2=x^6+5*x^3+57", "y^2=49*x^6+6*x^5+33*x^4+54*x^3+45*x^2+68*x+6", "y^2=x^6+x^3+4"], "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": 16, "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": ["2.0.8.1"], "geometric_splitting_field": "2.0.8.1", "geometric_splitting_polynomials": [[2, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 15, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 15, "label": "2.73.c_acr", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 24, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["4.0.576.1"], "p": 73, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 2, -69, 146, 5329], "poly_str": "1 2 -69 146 5329 ", "primitive_models": [], "q": 73, "real_poly": [1, 2, -215], "simple_distinct": ["2.73.c_acr"], "simple_factors": ["2.73.c_acrA"], "simple_multiplicities": [1], "singular_primes": ["3,2*F^2+F+3", "2,-19*F+21*V+37", "23,F^2-11*F+10*V+17"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.576.1", "splitting_polynomials": [[4, 0, -2, 0, 1]], "twist_count": 8, "twists": [["2.73.ac_acr", "2.5329.afm_vyp", 2], ["2.73.ae_fu", "2.389017.bhc_cculy", 3], ["2.73.a_fm", "2.151334226289.cpmvs_ddmqfwkyo", 6], ["2.73.e_fu", "2.151334226289.cpmvs_ddmqfwkyo", 6], ["2.73.a_afm", "2.22902048046490258711521.amgdrtwrk_bctmaqnbzqwnbawyo", 12], ["2.73.ay_lc", "2.524503804723748275248688345080154231098133441.bztffdymtghbvpfrg_boccswwhjvpklyywiwprlrvmwxvjfyvzy", 24], ["2.73.y_lc", "2.524503804723748275248688345080154231098133441.bztffdymtghbvpfrg_boccswwhjvpklyywiwprlrvmwxvjfyvzy", 24]], "weak_equivalence_count": 16, "zfv_index": 2484, "zfv_index_factorization": [[2, 2], [3, 3], [23, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 6, "zfv_plus_index_factorization": [[2, 1], [3, 1]], "zfv_plus_norm": 4761, "zfv_singular_count": 6, "zfv_singular_primes": ["3,2*F^2+F+3", "2,-19*F+21*V+37", "23,F^2-11*F+10*V+17"]}