# Stored data for abelian variety isogeny class 2.61.a_adl, downloaded from the LMFDB on 12 September 2026.
{"abvar_count": 3633, "abvar_counts": [3633, 13198689, 51520662900, 191694076601769, 713342913033372153, 2654378705655436410000, 9876832533357979508336913, 36751704386063464208801387529, 136753052840547985320586254422100, 508858111574937146669317078595855409], "abvar_counts_str": "3633 13198689 51520662900 191694076601769 713342913033372153 2654378705655436410000 9876832533357979508336913 36751704386063464208801387529 136753052840547985320586254422100 508858111574937146669317078595855409 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.119874499212938, 0.880125500787062], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 62, "curve_counts": [62, 3544, 226982, 13844884, 844596302, 51520951438, 3142742836022, 191707367921764, 11694146092834142, 713342914403861704], "curve_counts_str": "62 3544 226982 13844884 844596302 51520951438 3142742836022 191707367921764 11694146092834142 713342914403861704 ", "curves": ["y^2=43*x^6+23*x^5+6*x^4+13*x^3+34*x^2+54*x+39", "y^2=22*x^6+14*x^5+17*x^4+18*x^3+49*x^2+58*x+24", "y^2=44*x^6+28*x^5+34*x^4+36*x^3+37*x^2+55*x+48", "y^2=27*x^6+9*x^5+45*x^4+37*x^3+40*x^2+41*x+28", "y^2=58*x^6+60*x^5+12*x^4+7*x^3+26*x^2+58*x+11", "y^2=21*x^6+11*x^5+22*x^4+7*x^3+43*x^2+24*x+22", "y^2=51*x^6+55*x^5+6*x^4+4*x^3+58*x^2+29*x+47", "y^2=46*x^6+2*x^5+43*x^4+30*x^3+7*x^2+34*x+10", "y^2=31*x^6+4*x^5+25*x^4+60*x^3+14*x^2+7*x+20", "y^2=24*x^6+59*x^5+41*x^4+34*x^3+59*x^2+50*x+1", "y^2=42*x^6+14*x^5+8*x^4+39*x^3+43*x^2+8*x+9", "y^2=23*x^6+28*x^5+16*x^4+17*x^3+25*x^2+16*x+18", "y^2=41*x^6+25*x^5+25*x^4+22*x^3+41*x^2+48*x+38", "y^2=21*x^6+50*x^5+50*x^4+44*x^3+21*x^2+35*x+15", "y^2=46*x^6+7*x^5+51*x^4+44*x^3+39*x^2+37*x+39", "y^2=31*x^6+14*x^5+41*x^4+27*x^3+17*x^2+13*x+17", "y^2=15*x^6+30*x^5+59*x^4+10*x^3+55*x^2+34*x+23", "y^2=30*x^6+60*x^5+57*x^4+20*x^3+49*x^2+7*x+46"], "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": ["2.0.6963.1"], "geometric_splitting_field": "2.0.6963.1", "geometric_splitting_polynomials": [[1741, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 18, "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": 18, "label": "2.61.a_adl", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.775733904.2"], "p": 61, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2], [1, 3, 2, 2], [1, 7, 1, 12]], "poly": [1, 0, -89, 0, 3721], "poly_str": "1 0 -89 0 3721 ", "primitive_models": [], "principal_polarization_count": 24, "q": 61, "real_poly": [1, 0, -211], "simple_distinct": ["2.61.a_adl"], "simple_factors": ["2.61.a_adlA"], "simple_multiplicities": [1], "singular_primes": [], "size": 24, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.775733904.2", "splitting_polynomials": [[3721, 0, -89, 0, 1]], "twist_count": 2, "twists": [["2.61.a_dl", "2.13845841.abkw_cjcplj", 4]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 24, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1089, "zfv_singular_count": 0, "zfv_singular_primes": []}