data: - - Ciso: 32487l Clabel: 32487l5 Cnumber: 5 abc_quality: 0.9885418782056836 absD: 864187504196548077 adelic_genus: 1 adelic_index: 192 adelic_level: 24752 ainvs: - 1 - 0 - 0 - 189923 - 31408838 analytic_rank: 1 bad_primes: - 3 - 7 - 13 - 17 class_deg: 8 class_size: 6 cm: 0 conductor: 32487 degree: 393216 elladic_images: - 8.24.0.91 faltings_height: __RealLiteral__: 0 data: '2.1281110197905345264145707872' prec: 100 faltings_index: 4 faltings_ratio: 8 id: 216282 iso_nlabel: 5 isogeny_degrees: - 1 - 2 - 4 - 8 jinv: - 6439735268725823 - 7345472585373 lmfdb_iso: 32487.f lmfdb_label: 32487.f6 lmfdb_number: 6 manin_constant: 1 min_quad_twist_ainvs: - 1 - 1 - 1 - 3876 - -89910 min_quad_twist_disc: -7 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.24.0.ba.2 - 28.12.0-4.c.1.1 - 52.12.0.h.1 - 56.48.0-8.ba.2.6 - 104.48.0.? - 272.48.0.? - 364.24.0.? - 728.96.0.? - 1904.96.0.? - 3536.96.1.? - 24752.192.1.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 2 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '3.6426794849659410540227150570' prec: 100 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '1.1551559452628778738618944155' prec: 100 szpiro_ratio: 4.6278369102832535 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - -1 - 1 - -1 - 2 - -1 - 0 - 3 - 1 - -2 - 4 - -1 - -1 - 0 - 2 - -1 - -1 - -1 - 4 - -2 aplist: - -1 - 1 - 2 - 0 - 4 - -1 - -1 - 4 - 0 - -2 - 8 - -2 - -2 - -4 - -8 - -10 - -4 - -14 - -4 - 0 - 14 - -8 - 4 - 6 - 6 class_deg: 8 class_size: 6 conductor: 32487 id: 136462 isogeny_matrix: - - 1 - 2 - 4 - 8 - 8 - 4 - - 2 - 1 - 2 - 4 - 4 - 2 - - 4 - 2 - 1 - 2 - 2 - 4 - - 8 - 4 - 2 - 1 - 4 - 8 - - 8 - 4 - 2 - 4 - 1 - 8 - - 4 - 2 - 4 - 8 - 8 - 1 lmfdb_iso: 32487.f trace_hash: 1380467224825648488 - - area: __RealLiteral__: 0 data: '0.014175756820437361674949978531' prec: 107 conductor: 32487 gens: - - 158 - 8006 - 1 heights: - __RealLiteral__: 0 data: '3.6426794849659410540227150570' prec: 100 id: 216282 lmfdb_label: 32487.f6 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.18724886336195704194279815540' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '5.4567007452143323777180998356224113168' prec: 130 tamagawa_product: 32 torsion_generators: - - -593 - 593 - 2 xcoord_integral_points: - 158 - - id: 216282 iwdata: '11': - 1 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': - 8 - 1 '23': - 1 - 1 - 0 '29': - 1 - 0 '3': - 4 - 0 '31': - 1 - 0 '37': - 1 - 0 '41': - 3 - 0 '43': - 1 - 0 '47': - 1 - 0 '5': - 3 - 0 '7': a iwp0: 0 lmfdb_label: 32487.f6 - - degree: 2 field: - -7 - 0 - 1 id: 1617340 lmfdb_label: 32487.f6 torsion: - 4 - degree: 2 field: - 13 - 0 - 1 id: 1617339 lmfdb_label: 32487.f6 torsion: - 2 - 2 - degree: 2 field: - 23 - -1 - 1 id: 1617341 lmfdb_label: 32487.f6 torsion: - 4 - degree: 4 field: - 9 - 0 - 8 - 0 - 1 id: 1617344 lmfdb_label: 32487.f6 torsion: - 8 - degree: 4 field: - 25 - 0 - 3 - 0 - 1 id: 1617342 lmfdb_label: 32487.f6 torsion: - 2 - 4 - degree: 4 field: - 361 - 0 - -66 - 0 - 1 id: 1617343 lmfdb_label: 32487.f6 torsion: - 8 - degree: 8 field: - 172 - -292 - 290 - -4 - 23 - -28 - 14 - -4 - 1 id: 1617346 lmfdb_label: 32487.f6 torsion: - 8 - degree: 8 field: - 198 - 228 - -178 - -108 - 75 - -28 - 14 - -4 - 1 id: 1617345 lmfdb_label: 32487.f6 torsion: - 2 - 4 - degree: 8 field: - 529 - 0 - -406 - 0 - 95 - 0 - 14 - 0 - 1 id: 1617347 lmfdb_label: 32487.f6 torsion: - 2 - 8 - degree: 8 field: - 112107 - 90543 - 19713 - 949 - -77 - -68 - -5 - -2 - 1 id: 1617348 lmfdb_label: 32487.f6 torsion: - 6 - degree: 16 field: - 2809 - 0 - -4904 - 0 - 2458 - 0 - -936 - 0 - 603 - 0 - 312 - 0 - 118 - 0 - 16 - 0 - 1 id: 1617350 lmfdb_label: 32487.f6 torsion: - 2 - 8 - degree: 16 field: - 39204 - 0 - 122472 - 0 - 110632 - 0 - 20052 - 0 - -3187 - 0 - -96 - 0 - 122 - 0 - -12 - 0 - 1 id: 1617349 lmfdb_label: 32487.f6 torsion: - 4 - 4 - degree: 16 field: - 1297321 - 0 - -1244768 - 0 - 336232 - 0 - 57883 - 0 - -20852 - 0 - -1631 - 0 - 25 - 0 - -14 - 0 - 1 id: 1617354 lmfdb_label: 32487.f6 torsion: - 12 - degree: 16 field: - 3515625 - 0 - 22640625 - 0 - 404554375 - 0 - 1811250 - 0 - 21207 - 0 - 31878 - 0 - 246 - 0 - 0 - 0 - 1 id: 1617355 lmfdb_label: 32487.f6 torsion: - 12 - degree: 16 field: - 79569101273 - 32113653332 - 26223125116 - 19690112682 - 6223492537 - 922563460 - -63500105 - -45881956 - -3709926 - -163258 - 183140 - -13286 - 4589 - -480 - 98 - -4 - 1 id: 1617353 lmfdb_label: 32487.f6 torsion: - 2 - 6 - degree: 16 field: - 9375543926401 - 0 - -150800143715048 - 0 - 5460191355448 - 0 - 41979882160 - 0 - -1101327026 - 0 - -33275288 - 0 - 145048 - 0 - 880 - 0 - 1 id: 1617351 lmfdb_label: 32487.f6 torsion: - 16 - degree: 16 field: - 20949771675204 - -2546401292352 - -1466660701440 - 165832528608 - 67121501400 - -5578692912 - -2041792416 - 135732672 - 40506184 - -2802384 - -560704 - 35856 - 7764 - -216 - -112 - 0 - 1 id: 1617352 lmfdb_label: 32487.f6 torsion: - 16 - - conductor: 32487 conductor_valuation: 1 discriminant_valuation: 4 id: 759862 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 32487.f6 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 4 - conductor: 32487 conductor_valuation: 2 discriminant_valuation: 6 id: 759863 j_denominator_valuation: 0 kodaira_symbol: -1 lmfdb_label: 32487.f6 prime: 7 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 32487 conductor_valuation: 1 discriminant_valuation: 1 id: 759864 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 32487.f6 prime: 13 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 32487 conductor_valuation: 1 discriminant_valuation: 8 id: 759865 j_denominator_valuation: 8 kodaira_symbol: 12 lmfdb_label: 32487.f6 prime: 17 reduction_type: -1 root_number: 1 tamagawa_number: 2 - - adelic_gens: - - 3102 - 15029 - 14665 - 5314 - - 19048 - 21217 - 13951 - 17690 - - 5 - 4 - 24748 - 24749 - - 1 - 16 - 0 - 1 - - 7085 - 17696 - 7700 - 21785 - - 17679 - 0 - 0 - 24751 - - 16017 - 17696 - 840 - 17809 - - 24737 - 16 - 24736 - 17 - - 1 - 0 - 16 - 1 - - 15 - 2 - 24654 - 24739 adelic_image: 24752.192.1.? conductor: 32487 id: 1881146 lmfdb_label: 32487.f6 prime: 0 - conductor: 32487 elladic_image: 8.24.0.91 id: 145239 lmfdb_label: 32487.f6 modell_image: 2B prime: 2 - - id: 1583818 lmfdb_iso: 32487.f p: 5 prec: 20 unit: 208097374654 val: 3 - id: 1583810 lmfdb_iso: 32487.f p: 11 prec: 20 unit: 56117109237832116607 val: 1 - id: 1583812 lmfdb_iso: 32487.f p: 19 prec: 20 unit: 1862124310240784232905781 val: 1 - id: 1583808 lmfdb_iso: 32487.f p: 29 prec: 20 unit: 5440720905961847708703138444 val: 1 - id: 1583805 lmfdb_iso: 32487.f p: 31 prec: 20 unit: 15333579921312198027309620673 val: 1 - id: 1583804 lmfdb_iso: 32487.f p: 37 prec: 20 unit: 41874851266576493547010385636 val: 1 - id: 1583806 lmfdb_iso: 32487.f p: 41 prec: 20 unit: 64295485837574418853878239990 val: 2 - id: 1583807 lmfdb_iso: 32487.f p: 43 prec: 20 unit: 287860237892022979344432289758 val: 1 - id: 1583816 lmfdb_iso: 32487.f p: 47 prec: 20 unit: 38695155028340275715157919840086 val: 1 - id: 1583813 lmfdb_iso: 32487.f p: 53 prec: 20 unit: 410794676426419149860792767321114 val: 1 - id: 1583811 lmfdb_iso: 32487.f p: 59 prec: 20 unit: 1964032332891863088545071323159040 val: 1 - id: 1583817 lmfdb_iso: 32487.f p: 61 prec: 20 unit: 3826141537543479739358611040698139 val: 1 - id: 1583803 lmfdb_iso: 32487.f p: 67 prec: 20 unit: 85573481296375538589988255761583 val: 2 - id: 1583814 lmfdb_iso: 32487.f p: 73 prec: 20 unit: 59656502008156508362265067689294414 val: 1 - id: 1583809 lmfdb_iso: 32487.f p: 79 prec: 20 unit: 630143241831897830464673720596727309 val: 1 - id: 1583802 lmfdb_iso: 32487.f p: 83 prec: 20 unit: 1308170691885597273506562041848301159 val: 1 - id: 1583815 lmfdb_iso: 32487.f p: 89 prec: 20 unit: 924745863117414905201503641465648120 val: 1 - id: 1583801 lmfdb_iso: 32487.f p: 97 prec: 20 unit: 15052686215865498625824087192855881653 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 32487.f6 - 32487.f - 32487.f6 - 32487.f6 - 32487.f6 - 32487.f6 - 32487.f6 - 32487.f tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-23T19:32:42.030606'