# Stored data for abelian variety isogeny class 2.53.a_ca, downloaded from the LMFDB on 12 September 2026.
{"abvar_count": 2862, "abvar_counts": [2862, 8191044, 22164063534, 62305700412816, 174887470822402782, 491245712339188569156, 1379946262058160567291198, 3876269957810939288932061184, 10888439761782907250690865822606, 30585627450656784406229415841339524], "abvar_counts_str": "2862 8191044 22164063534 62305700412816 174887470822402782 491245712339188569156 1379946262058160567291198 3876269957810939288932061184 10888439761782907250690865822606 30585627450656784406229415841339524 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.331604978842775, 0.668395021157225], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 54, "curve_counts": [54, 2914, 148878, 7896310, 418195494, 22163765938, 1174711139838, 62259704990494, 3299763591802134, 174887471279292514], "curve_counts_str": "54 2914 148878 7896310 418195494 22163765938 1174711139838 62259704990494 3299763591802134 174887471279292514 ", "curves": ["y^2=28*x^6+5*x^5+29*x^4+20*x^3+14*x^2+52*x+34", "y^2=3*x^6+10*x^5+5*x^4+40*x^3+28*x^2+51*x+15", "y^2=24*x^6+4*x^5+42*x^4+4*x^3+26*x^2+40*x+47", "y^2=48*x^6+8*x^5+31*x^4+8*x^3+52*x^2+27*x+41", "y^2=37*x^6+20*x^5+22*x^4+28*x^3+37*x^2+24*x+52", "y^2=21*x^6+40*x^5+44*x^4+3*x^3+21*x^2+48*x+51", "y^2=16*x^6+2*x^5+9*x^4+8*x^3+24*x^2+8*x+15", "y^2=32*x^6+4*x^5+18*x^4+16*x^3+48*x^2+16*x+30", "y^2=36*x^6+13*x^5+32*x^4+46*x^3+9*x^2+34*x+25", "y^2=19*x^6+26*x^5+11*x^4+39*x^3+18*x^2+15*x+50", "y^2=39*x^6+46*x^5+27*x^4+32*x^3+4*x^2+25*x+38", "y^2=25*x^6+39*x^5+x^4+11*x^3+8*x^2+50*x+23", "y^2=10*x^6+18*x^5+9*x^4+28*x^3+16*x^2+52*x+44", "y^2=20*x^6+36*x^5+18*x^4+3*x^3+32*x^2+51*x+35", "y^2=7*x^6+51*x^5+7*x^4+8*x^3+31*x^2+49*x+1", "y^2=14*x^6+49*x^5+14*x^4+16*x^3+9*x^2+45*x+2", "y^2=46*x^6+29*x^4+8*x^3+17*x^2+49*x+4", "y^2=39*x^6+5*x^4+16*x^3+34*x^2+45*x+8", "y^2=51*x^6+5*x^5+22*x^4+26*x^3+37*x^2+24*x", "y^2=49*x^6+10*x^5+44*x^4+52*x^3+21*x^2+48*x", "y^2=24*x^6+7*x^4+8*x^3+23*x^2+17*x+45", "y^2=48*x^6+14*x^4+16*x^3+46*x^2+34*x+37", "y^2=6*x^6+21*x^5+5*x^4+20*x^3+13*x^2+8*x+42", "y^2=12*x^6+42*x^5+10*x^4+40*x^3+26*x^2+16*x+31", "y^2=8*x^6+43*x^5+28*x^4+11*x^3+52*x^2+25*x+6", "y^2=16*x^6+33*x^5+3*x^4+22*x^3+51*x^2+50*x+12", "y^2=38*x^6+3*x^5+52*x^4+33*x^3+40*x^2+22*x+9", "y^2=23*x^6+6*x^5+51*x^4+13*x^3+27*x^2+44*x+18", "y^2=12*x^6+28*x^5+10*x^4+36*x^3+4*x^2+23*x+43", "y^2=24*x^6+3*x^5+20*x^4+19*x^3+8*x^2+46*x+33", "y^2=24*x^6+9*x^5+29*x^4+22*x^3+42*x^2+22*x+33", "y^2=48*x^6+18*x^5+5*x^4+44*x^3+31*x^2+44*x+13", "y^2=6*x^6+10*x^5+7*x^4+36*x^3+40*x^2+34*x+41", "y^2=12*x^6+20*x^5+14*x^4+19*x^3+27*x^2+15*x+29", "y^2=50*x^6+40*x^5+44*x^4+8*x+26", "y^2=47*x^6+27*x^5+35*x^4+16*x+52", "y^2=x^6+52*x^5+7*x^4+5*x^3+5*x^2+10*x+10", "y^2=2*x^6+51*x^5+14*x^4+10*x^3+10*x^2+20*x+20", "y^2=6*x^6+33*x^5+41*x^4+47*x^3+41*x^2+15*x+28", "y^2=12*x^6+13*x^5+29*x^4+41*x^3+29*x^2+30*x+3", "y^2=8*x^6+30*x^5+49*x^3+40*x^2+3*x+10", "y^2=16*x^6+7*x^5+45*x^3+27*x^2+6*x+20", "y^2=10*x^6+6*x^5+8*x^4+24*x^3+29*x^2+34*x+36", "y^2=20*x^6+12*x^5+16*x^4+48*x^3+5*x^2+15*x+19", "y^2=18*x^6+3*x^5+18*x^4+20*x^3+52*x^2+18*x+25", "y^2=36*x^6+6*x^5+36*x^4+40*x^3+51*x^2+36*x+50", "y^2=7*x^6+10*x^5+52*x^4+22*x^2+46*x+6", "y^2=14*x^6+20*x^5+51*x^4+44*x^2+39*x+12", "y^2=14*x^6+44*x^5+12*x^4+28*x^3+15*x^2+23*x+13", "y^2=28*x^6+35*x^5+24*x^4+3*x^3+30*x^2+46*x+26", "y^2=42*x^6+52*x^5+42*x^4+4*x^3+12*x^2+43*x+7", "y^2=31*x^6+51*x^5+31*x^4+8*x^3+24*x^2+33*x+14", "y^2=23*x^6+50*x^5+25*x^4+52*x^3+14*x^2+17*x+20", "y^2=46*x^6+47*x^5+50*x^4+51*x^3+28*x^2+34*x+40", "y^2=26*x^6+42*x^5+50*x^4+46*x^3+46*x^2+38*x+7", "y^2=52*x^6+31*x^5+47*x^4+39*x^3+39*x^2+23*x+14", "y^2=40*x^6+21*x^5+11*x^4+41*x^3+4*x^2+51*x+6", "y^2=27*x^6+42*x^5+22*x^4+29*x^3+8*x^2+49*x+12", "y^2=49*x^6+23*x^5+17*x^4+35*x^3+31*x^2+15*x+35", "y^2=45*x^6+46*x^5+34*x^4+17*x^3+9*x^2+30*x+17", "y^2=11*x^6+2*x^5+52*x^4+28*x^3+2*x^2+7", "y^2=22*x^6+4*x^5+51*x^4+3*x^3+4*x^2+14", "y^2=51*x^6+2*x^5+47*x^4+32*x^3+7*x^2+17*x+38", "y^2=49*x^6+4*x^5+41*x^4+11*x^3+14*x^2+34*x+23", "y^2=52*x^6+52*x^5+22*x^4+21*x^3+24*x^2+40*x+13", "y^2=51*x^6+51*x^5+44*x^4+42*x^3+48*x^2+27*x+26", "y^2=5*x^6+40*x^5+38*x^4+13*x^3+21*x^2+3*x+51", "y^2=10*x^6+27*x^5+23*x^4+26*x^3+42*x^2+6*x+49", "y^2=5*x^6+39*x^5+13*x^4+42*x^3+46*x^2+50*x+31", "y^2=10*x^6+25*x^5+26*x^4+31*x^3+39*x^2+47*x+9", "y^2=34*x^6+38*x^5+48*x^3+47*x^2+21*x+52", "y^2=15*x^6+23*x^5+43*x^3+41*x^2+42*x+51", "y^2=29*x^6+40*x^5+41*x^4+15*x^3+45*x^2+42*x+24", "y^2=5*x^6+27*x^5+29*x^4+30*x^3+37*x^2+31*x+48", "y^2=9*x^6+14*x^5+38*x^4+19*x^3+51*x^2+30*x+40", "y^2=18*x^6+28*x^5+23*x^4+38*x^3+49*x^2+7*x+27", "y^2=45*x^6+25*x^5+45*x^4+48*x^3+13*x^2+8*x+35", "y^2=37*x^6+50*x^5+37*x^4+43*x^3+26*x^2+16*x+17", "y^2=x^6+42*x^5+19*x^4+45*x^3+48*x^2+24", "y^2=2*x^6+31*x^5+38*x^4+37*x^3+43*x^2+48", "y^2=38*x^6+43*x^5+x^4+31*x^3+29*x^2+22*x+5", "y^2=23*x^6+33*x^5+2*x^4+9*x^3+5*x^2+44*x+10", "y^2=49*x^6+38*x^5+51*x^4+49*x^3+22*x^2+35*x+8", "y^2=45*x^6+23*x^5+49*x^4+45*x^3+44*x^2+17*x+16", "y^2=47*x^6+9*x^5+24*x^4+49*x^3+51*x^2+35*x+37", "y^2=41*x^6+18*x^5+48*x^4+45*x^3+49*x^2+17*x+21", "y^2=45*x^6+15*x^5+38*x^4+30*x^3+19*x^2+28*x+41", "y^2=37*x^6+30*x^5+23*x^4+7*x^3+38*x^2+3*x+29", "y^2=42*x^6+24*x^5+14*x^4+19*x^3+34*x^2+31*x+1", "y^2=31*x^6+48*x^5+28*x^4+38*x^3+15*x^2+9*x+2", "y^2=41*x^6+17*x^5+40*x^3+21*x^2+25*x+24", "y^2=29*x^6+34*x^5+27*x^3+42*x^2+50*x+48", "y^2=9*x^6+34*x^5+5*x^4+43*x^3+3*x^2+28*x+40", "y^2=18*x^6+15*x^5+10*x^4+33*x^3+6*x^2+3*x+27", "y^2=41*x^6+29*x^5+16*x^4+x^3+17*x^2+17*x+27", "y^2=29*x^6+5*x^5+32*x^4+2*x^3+34*x^2+34*x+1", "y^2=35*x^6+18*x^5+5*x^4+23*x^3+6*x^2+33*x+28", "y^2=17*x^6+36*x^5+10*x^4+46*x^3+12*x^2+13*x+3", "y^2=34*x^6+10*x^5+29*x^4+46*x^3+45*x^2+35*x+19", "y^2=15*x^6+20*x^5+5*x^4+39*x^3+37*x^2+17*x+38", "y^2=x^6+16*x^5+46*x^4+10*x^3+28*x^2+5*x+33", "y^2=2*x^6+32*x^5+39*x^4+20*x^3+3*x^2+10*x+13", "y^2=14*x^6+39*x^5+17*x^4+27*x^3+16*x^2+22*x+44", "y^2=28*x^6+25*x^5+34*x^4+x^3+32*x^2+44*x+35", "y^2=9*x^6+26*x^5+39*x^4+15*x^3+17*x^2+24*x", "y^2=18*x^6+52*x^5+25*x^4+30*x^3+34*x^2+48*x", "y^2=x^6+31*x^5+25*x^4+20*x^3+40*x^2+4*x+24", "y^2=2*x^6+9*x^5+50*x^4+40*x^3+27*x^2+8*x+48", "y^2=48*x^6+23*x^4+6*x^3+x^2+39*x+14", "y^2=43*x^6+46*x^4+12*x^3+2*x^2+25*x+28", "y^2=23*x^6+36*x^5+48*x^4+36*x^3+3*x^2+43*x+24", "y^2=46*x^6+19*x^5+43*x^4+19*x^3+6*x^2+33*x+48", "y^2=20*x^6+14*x^5+18*x^4+37*x^3+32*x^2+46*x+29", "y^2=40*x^6+28*x^5+36*x^4+21*x^3+11*x^2+39*x+5", "y^2=19*x^6+8*x^5+44*x^4+34*x^3+12*x^2+18*x+19", "y^2=38*x^6+16*x^5+35*x^4+15*x^3+24*x^2+36*x+38", "y^2=31*x^6+34*x^5+x^3+52*x^2+10*x+19", "y^2=9*x^6+15*x^5+2*x^3+51*x^2+20*x+38", "y^2=27*x^6+47*x^5+35*x^4+42*x^3+51*x^2+26*x+28", "y^2=x^6+41*x^5+17*x^4+31*x^3+49*x^2+52*x+3", "y^2=51*x^6+28*x^5+52*x^4+27*x^3+x^2+48*x+38", "y^2=49*x^6+3*x^5+51*x^4+x^3+2*x^2+43*x+23", "y^2=9*x^6+32*x^5+9*x^4+18*x^3+40*x^2+33*x+36", "y^2=18*x^6+11*x^5+18*x^4+36*x^3+27*x^2+13*x+19", "y^2=23*x^6+14*x^5+43*x^4+38*x^3+3*x^2+45*x+43", "y^2=46*x^6+28*x^5+33*x^4+23*x^3+6*x^2+37*x+33", "y^2=11*x^6+49*x^5+43*x^4+12*x^3+x^2+44*x+50", "y^2=22*x^6+45*x^5+33*x^4+24*x^3+2*x^2+35*x+47", "y^2=8*x^6+7*x^5+50*x^4+47*x^3+36*x^2+29*x+44", "y^2=16*x^6+14*x^5+47*x^4+41*x^3+19*x^2+5*x+35", "y^2=40*x^6+6*x^5+33*x^4+48*x^3+14*x^2+43*x", "y^2=27*x^6+12*x^5+13*x^4+43*x^3+28*x^2+33*x", "y^2=44*x^6+28*x^5+40*x^4+16*x^3+37*x^2+32*x+16", "y^2=35*x^6+3*x^5+27*x^4+32*x^3+21*x^2+11*x+32", "y^2=10*x^6+4*x^5+51*x^4+41*x^3+51*x^2+20*x+21", "y^2=20*x^6+8*x^5+49*x^4+29*x^3+49*x^2+40*x+42", "y^2=48*x^6+10*x^5+25*x^4+37*x^3+x^2+42*x+2", "y^2=43*x^6+20*x^5+50*x^4+21*x^3+2*x^2+31*x+4", "y^2=20*x^6+13*x^5+19*x^4+39*x^3+45*x^2+22*x+17", "y^2=40*x^6+26*x^5+38*x^4+25*x^3+37*x^2+44*x+34", "y^2=36*x^6+16*x^5+48*x^4+5*x^3+16*x^2+2*x+43", "y^2=19*x^6+32*x^5+43*x^4+10*x^3+32*x^2+4*x+33", "y^2=29*x^6+39*x^5+39*x^4+38*x^3+42*x^2+23*x+45", "y^2=5*x^6+25*x^5+25*x^4+23*x^3+31*x^2+46*x+37", "y^2=21*x^6+33*x^5+35*x^4+42*x^3+10*x^2+18", "y^2=42*x^6+13*x^5+17*x^4+31*x^3+20*x^2+36", "y^2=36*x^6+32*x^5+8*x^4+3*x^3+6*x^2+2*x+36", "y^2=19*x^6+11*x^5+16*x^4+6*x^3+12*x^2+4*x+19", "y^2=43*x^6+20*x^5+39*x^4+41*x^3+30*x^2+29*x+22", "y^2=33*x^6+40*x^5+25*x^4+29*x^3+7*x^2+5*x+44", "y^2=x^6+x^5+13*x^4+9*x^3+27*x+35", "y^2=2*x^6+2*x^5+26*x^4+18*x^3+x+17", "y^2=29*x^5+23*x^4+7*x^3+39*x^2+52*x+38", "y^2=5*x^5+46*x^4+14*x^3+25*x^2+51*x+23", "y^2=14*x^6+13*x^5+10*x^4+42*x^3+10*x^2+46*x+31", "y^2=28*x^6+26*x^5+20*x^4+31*x^3+20*x^2+39*x+9", "y^2=40*x^6+29*x^5+7*x^4+35*x^3+18*x^2+14*x+39", "y^2=27*x^6+5*x^5+14*x^4+17*x^3+36*x^2+28*x+25", "y^2=12*x^6+48*x^5+37*x^3+41*x^2+4*x+45", "y^2=24*x^6+43*x^5+21*x^3+29*x^2+8*x+37", "y^2=12*x^6+30*x^5+16*x^4+28*x^3+24*x^2+48*x+50", "y^2=24*x^6+7*x^5+32*x^4+3*x^3+48*x^2+43*x+47", "y^2=17*x^6+38*x^5+33*x^4+24*x^3+29*x^2+16*x+21", "y^2=34*x^6+23*x^5+13*x^4+48*x^3+5*x^2+32*x+42", "y^2=13*x^6+34*x^5+38*x^4+52*x^3+23*x^2+20*x+9", "y^2=26*x^6+15*x^5+23*x^4+51*x^3+46*x^2+40*x+18", "y^2=21*x^6+5*x^5+32*x^4+25*x^3+46*x^2+29*x+17", "y^2=42*x^6+10*x^5+11*x^4+50*x^3+39*x^2+5*x+34"], "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": 4, "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": ["2.0.948.1"], "geometric_splitting_field": "2.0.948.1", "geometric_splitting_polynomials": [[237, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 168, "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": 168, "label": "2.53.a_ca", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["4.0.14379264.2"], "p": 53, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, 52, 0, 2809], "poly_str": "1 0 52 0 2809 ", "primitive_models": [], "q": 53, "real_poly": [1, 0, -54], "simple_distinct": ["2.53.a_ca"], "simple_factors": ["2.53.a_caA"], "simple_multiplicities": [1], "singular_primes": ["3,108*F+112*V-2", "3,29*F+30*V-1"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.14379264.2", "splitting_polynomials": [[1681, 0, 76, 0, 1]], "twist_count": 2, "twists": [["2.53.a_aca", "2.7890481.iqe_cbczwg", 4]], "weak_equivalence_count": 4, "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": 24964, "zfv_singular_count": 4, "zfv_singular_primes": ["3,108*F+112*V-2", "3,29*F+30*V-1"]}