# Stored data for abelian variety isogeny class 2.41.av_hi, downloaded from the LMFDB on 03 November 2025.
{"abvar_count": 990, "abvar_counts": [990, 2726460, 4758831000, 7993064629440, 13424895517794750, 22563819472715136000, 37929237987933420172110, 63759029113231317298287360, 107178934881384557380968471000, 180167785978512555597338603941500], "abvar_counts_str": "990 2726460 4758831000 7993064629440 13424895517794750 22563819472715136000 37929237987933420172110 63759029113231317298287360 107178934881384557380968471000 180167785978512555597338603941500 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.113551764295879, 0.251940962052475], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 21, "curve_counts": [21, 1621, 69048, 2828641, 115875501, 4750173538, 194754329301, 7984925003521, 327381946348968, 13422659535300901], "curve_counts_str": "21 1621 69048 2828641 115875501 4750173538 194754329301 7984925003521 327381946348968 13422659535300901 ", "curves": ["y^2=11*x^6+30*x^5+13*x^4+16*x^3+19*x^2+15*x+29", "y^2=35*x^6+40*x^5+36*x^4+9*x^3+15*x^2+22", "y^2=13*x^6+34*x^5+30*x^4+36*x^3+14*x^2+35*x+1", "y^2=22*x^6+15*x^5+11*x^4+35*x^3+38*x^2+30*x+40", "y^2=11*x^6+18*x^5+11*x^4+3*x^3+36*x^2+4*x+14", "y^2=35*x^6+31*x^5+4*x^4+35*x^3+3*x^2+2*x+37"], "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": ["2.0.20.1", "2.0.83.1"], "geometric_splitting_field": "4.0.2755600.1", "geometric_splitting_polynomials": [[261, -52, 53, -2, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 6, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 6, "label": "2.41.av_hi", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.20.1", "2.0.83.1"], "p": 41, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 5, 1, 2], [2, 7, 1, 3]], "poly": [1, -21, 190, -861, 1681], "poly_str": "1 -21 190 -861 1681 ", "primitive_models": [], "principal_polarization_count": 12, "q": 41, "real_poly": [1, -21, 108], "simple_distinct": ["1.41.am", "1.41.aj"], "simple_factors": ["1.41.amA", "1.41.ajA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,F-6*V+64", "3,-F+1"], "size": 30, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2755600.1", "splitting_polynomials": [[261, -52, 53, -2, 1]], "twist_count": 4, "twists": [["2.41.ad_aba", "2.1681.acj_ewy", 2], ["2.41.d_aba", "2.1681.acj_ewy", 2], ["2.41.v_hi", "2.1681.acj_ewy", 2]], "weak_equivalence_count": 4, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 12, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1660, "zfv_singular_count": 4, "zfv_singular_primes": ["3,F-6*V+64", "3,-F+1"]}