# Stored data for abelian variety isogeny class 2.53.q_fw, downloaded from the LMFDB on 14 March 2026.
{"abvar_count": 3826, "abvar_counts": [3826, 8026948, 22067055682, 62266544702224, 174887543253853426, 491265258912450617476, 1379942141908792025628418, 3876269669698955717938249728, 10888440191666252230565951345266, 30585627041080196961942684730757188], "abvar_counts_str": "3826 8026948 22067055682 62266544702224 174887543253853426 491265258912450617476 1379942141908792025628418 3876269669698955717938249728 10888440191666252230565951345266 30585627041080196961942684730757188 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.583082070841262, 0.817931441477751], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 70, "curve_counts": [70, 2858, 148222, 7891350, 418195670, 22164647834, 1174707632462, 62259700362910, 3299763722079142, 174887468937348938], "curve_counts_str": "70 2858 148222 7891350 418195670 22164647834 1174707632462 62259700362910 3299763722079142 174887468937348938 ", "curves": ["y^2=51*x^6+40*x^5+20*x^4+35*x^3+5*x^2+6*x+42", "y^2=7*x^6+38*x^5+34*x^4+18*x^3+31*x^2+43*x+23", "y^2=9*x^6+4*x^5+7*x^4+18*x^3+25*x^2+37*x+35", "y^2=x^6+45*x^5+24*x^4+24*x^3+28*x^2+25*x+38", "y^2=24*x^6+48*x^5+28*x^4+46*x^3+44*x^2+2*x+30", "y^2=41*x^6+39*x^5+8*x^4+27*x^3+41*x^2+23*x+16", "y^2=13*x^6+28*x^5+9*x^4+45*x^3+2*x^2+38*x+29", "y^2=29*x^6+26*x^5+x^4+31*x^3+46*x^2+2*x+25", "y^2=33*x^6+34*x^5+43*x^4+35*x^3+50*x^2+30*x+34", "y^2=22*x^6+4*x^5+37*x^4+13*x^3+5*x^2+37*x+28", "y^2=38*x^6+17*x^5+30*x^4+19*x^3+52*x^2+17*x+28", "y^2=7*x^6+14*x^5+25*x^4+35*x^3+4*x^2+10*x+44", "y^2=20*x^6+11*x^5+8*x^4+48*x^2+25*x+37", "y^2=19*x^6+52*x^4+21*x^3+23*x^2+34*x+20", "y^2=15*x^5+34*x^4+39*x^3+27*x^2+9*x+15", "y^2=43*x^6+17*x^5+15*x^4+12*x^3+5*x^2+44*x+24", "y^2=11*x^6+12*x^5+5*x^4+26*x^3+36*x^2+21*x+11", "y^2=7*x^6+19*x^5+22*x^4+45*x^3+25*x^2+6*x+41", "y^2=44*x^6+44*x^5+37*x^4+7*x^3+52*x^2+34*x+30", "y^2=41*x^6+36*x^5+9*x^4+9*x^3+47*x^2+28*x", "y^2=12*x^6+36*x^5+20*x^4+28*x^3+52*x^2+20*x+43", "y^2=24*x^6+34*x^5+33*x^4+40*x^3+3*x^2+43*x+44", "y^2=29*x^6+41*x^5+30*x^4+50*x^3+15*x^2+2*x+47", "y^2=46*x^6+35*x^5+20*x^4+28*x^3+7*x^2+11*x+5", "y^2=40*x^6+21*x^5+6*x^4+46*x^3+x+9", "y^2=44*x^6+32*x^5+47*x^4+8*x^3+27*x^2+14*x+5", "y^2=28*x^6+41*x^5+13*x^4+37*x^3+26*x^2+38*x+46", "y^2=10*x^6+24*x^5+26*x^4+4*x^3+10*x^2+7*x+16", "y^2=47*x^6+3*x^5+17*x^4+43*x^3+35*x^2+37*x+34", "y^2=15*x^6+29*x^5+36*x^4+24*x^3+5*x^2+17*x+4", "y^2=24*x^6+44*x^5+39*x^4+52*x^3+51*x^2+41*x+47", "y^2=4*x^6+44*x^5+x^4+45*x^3+44*x^2+10*x+14", "y^2=51*x^6+49*x^5+2*x^4+13*x^3+51*x^2+34*x+36", "y^2=38*x^6+29*x^5+13*x^4+22*x^3+38*x^2+37*x+38", "y^2=8*x^6+15*x^5+25*x^4+11*x^3+2*x^2+22*x+49", "y^2=44*x^6+25*x^5+44*x^4+32*x^3+11*x^2+24*x+20"], "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": 2, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": ["4T3"], "geometric_number_fields": ["4.0.786688.1"], "geometric_splitting_field": "4.0.786688.1", "geometric_splitting_polynomials": [[801, -48, 64, 0, 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": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 36, "label": "2.53.q_fw", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.786688.1"], "p": 53, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 16, 152, 848, 2809], "poly_str": "1 16 152 848 2809 ", "primitive_models": [], "q": 53, "real_poly": [1, 16, 46], "simple_distinct": ["2.53.q_fw"], "simple_factors": ["2.53.q_fwA"], "simple_multiplicities": [1], "singular_primes": ["3,7*F^2+46*F+14*V+216"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.786688.1", "splitting_polynomials": [[801, -48, 64, 0, 1]], "twist_count": 2, "twists": [["2.53.aq_fw", "2.2809.bw_cja", 2]], "weak_equivalence_count": 2, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 12292, "zfv_singular_count": 2, "zfv_singular_primes": ["3,7*F^2+46*F+14*V+216"]}