data: - - Ciso: 222024f Clabel: 222024f2 Cnumber: 2 abc_quality: 0.899108725536897 absD: 663308898886656 adelic_genus: 0 adelic_index: 48 adelic_level: 7656 ainvs: - 0 - 1 - 0 - -27192 - 1192320 analytic_rank: 1 bad_primes: - 2 - 3 - 11 - 29 class_deg: 4 class_size: 4 cm: 0 conductor: 222024 degree: 802816 elladic_images: - 2.6.0.1 faltings_height: __RealLiteral__: 0 data: '1.5494873245689401899228112636' prec: 100 faltings_index: 1 faltings_ratio: 2 id: 1419612 iso_nlabel: 19 isogeny_degrees: - 1 - 2 jinv: - 3650692 - 1089 lmfdb_iso: 222024.t lmfdb_label: 222024.t2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -32 - 60 min_quad_twist_disc: 29 modell_images: - 2Cs modm_images: - 2.6.0.a.1 - 24.12.0.a.1 - 88.12.0.? - 132.12.0.? - 232.12.0.? - 264.24.0.? - 348.12.0.? - 696.24.0.? - 1276.12.0.? - 2552.24.0.? - 3828.24.0.? - 7656.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 3 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '12.145817059077253682493949165' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.71178324089091791484985152046' prec: 107 szpiro_ratio: 3.431666804492515 torsion: 4 torsion_primes: - 2 torsion_structure: - 2 - 2 - - anlist: - 0 - 1 - 0 - 1 - 0 - 2 - 0 - 0 - 0 - 1 - 0 - -1 - 0 - 2 - 0 - 2 - 0 - -6 - 0 - 0 - 0 aplist: - 0 - 1 - 2 - 0 - -1 - 2 - -6 - 0 - 4 - 0 - 0 - 10 - -6 - 8 - 4 - -6 - -12 - -2 - 4 - 12 - 14 - -16 - -12 - -10 - 14 class_deg: 4 class_size: 4 conductor: 222024 id: 974419 isogeny_matrix: - - 1 - 2 - 4 - 4 - - 2 - 1 - 2 - 2 - - 4 - 2 - 1 - 4 - - 4 - 2 - 4 - 1 lmfdb_iso: 222024.t trace_hash: 990534698602044657 - - area: __RealLiteral__: 0 data: '0.045095417321278848923926986908' prec: 107 conductor: 222024 gens: - - 2684232 - 3733551360 - 97 heights: - __RealLiteral__: 0 data: '12.145817059077253682493949165' prec: 100 id: 1419612 lmfdb_label: 222024.t2 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.47426373652954210292364251910' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '11.520641163284465102537916577155116712' prec: 130 tamagawa_product: 32 torsion_generators: - - 48 - 0 - 1 - - 135 - 0 - 1 xcoord_integral_points: - -184 - 48 - 135 - [] - - degree: 4 field: - 256 - 0 - -26 - 0 - 1 id: 9663884 lmfdb_label: 222024.t2 torsion: - 2 - 4 - degree: 4 field: - 400 - 0 - 18 - 0 - 1 id: 9663885 lmfdb_label: 222024.t2 torsion: - 2 - 4 - degree: 4 field: - 6154 - 190 - -189 - -2 - 1 id: 9663883 lmfdb_label: 222024.t2 torsion: - 2 - 4 - degree: 8 field: - -116616 - -128376 - 86072 - -9792 - 372 - -276 - 18 - 0 - 1 id: 9663886 lmfdb_label: 222024.t2 torsion: - 2 - 6 - degree: 16 field: - -177751851 - -732868062 - 656587548 - 1343350422 - -1223050865 - -68985586 - 335449916 - -94520016 - -6192716 - 5935102 - -406220 - -135170 - 16807 - 1266 - -220 - -4 - 1 id: 9663888 lmfdb_label: 222024.t2 torsion: - 2 - 8 - degree: 16 field: - 1498176 - 0 - 997056 - 0 - 2107188 - 0 - -673476 - 0 - 102913 - 0 - 1968 - 0 - 782 - 0 - -12 - 0 - 1 id: 9663887 lmfdb_label: 222024.t2 torsion: - 4 - 4 - degree: 16 field: - 2877908409 - 935313336 - -1160749512 - -237328128 - 251909256 - 24454920 - -33531696 - -1214976 - 2905738 - 20760 - -162088 - 576 - 5640 - -24 - -112 - 0 - 1 id: 9663889 lmfdb_label: 222024.t2 torsion: - 2 - 8 - degree: 16 field: - 17135202393 - 4897568808 - 6646054248 - 1305322128 - 1071204992 - 161489768 - 90068736 - 9879232 - 4433370 - 245608 - 131944 - -176 - 2816 - -88 - 64 - 0 - 1 id: 9663890 lmfdb_label: 222024.t2 torsion: - 2 - 8 - - conductor: 222024 conductor_valuation: 3 discriminant_valuation: 10 id: 5507460 j_denominator_valuation: 0 kodaira_symbol: -3 lmfdb_label: 222024.t2 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 222024 conductor_valuation: 1 discriminant_valuation: 2 id: 5507461 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 222024.t2 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 2 - conductor: 222024 conductor_valuation: 1 discriminant_valuation: 2 id: 5507462 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 222024.t2 prime: 11 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 222024 conductor_valuation: 2 discriminant_valuation: 6 id: 5507463 j_denominator_valuation: 0 kodaira_symbol: -1 lmfdb_label: 222024.t2 prime: 29 reduction_type: 0 root_number: 1 tamagawa_number: 4 - - adelic_gens: - - 2785 - 4756 - 290 - 1857 - - 2379 - 2378 - 2726 - 5279 - - 5015 - 0 - 0 - 7655 - - 1 - 4 - 0 - 1 - - 5743 - 4756 - 0 - 1 - - 1 - 0 - 4 - 1 - - 7653 - 4 - 7652 - 5 - - 3829 - 2378 - 0 - 1 adelic_image: 7656.48.0.? conductor: 222024 id: 3081999 lmfdb_label: 222024.t2 prime: 0 - conductor: 222024 elladic_image: 2.6.0.1 id: 814170 lmfdb_label: 222024.t2 modell_image: 2Cs prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 222024.t2 - 222024.t - 222024.t2 - 222024.t2 - 222024.t2 - 222024.t2 - 222024.t2 - 222024.t tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-21T12:00:54.363992'