data: - - Ciso: 32487m Clabel: 32487m4 Cnumber: 4 abc_quality: 0.9409120119387917 absD: 188858558708802801 adelic_genus: 1 adelic_index: 192 adelic_level: 37128 ainvs: - 1 - 0 - 0 - -151607 - 8879520 analytic_rank: 1 bad_primes: - 3 - 7 - 13 - 17 class_deg: 8 class_size: 6 cm: 0 conductor: 32487 degree: 294912 elladic_images: - 4.12.0.3 faltings_height: __RealLiteral__: 0 data: '2.0082681670243428994593109813' prec: 100 faltings_index: 2 faltings_ratio: 4 id: 216287 iso_nlabel: 4 isogeny_degrees: - 1 - 2 - 4 jinv: - 3275619238041697 - 1605271262049 lmfdb_iso: 32487.e lmfdb_label: 32487.e2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 1 - 1 - 1 - -3094 - -27214 min_quad_twist_disc: -7 modell_images: - 2Cs modm_images: - 2.6.0.a.1 - 4.12.0.b.1 - 24.24.0-4.b.1.2 - 28.24.0-4.b.1.1 - 68.24.0.c.1 - 104.24.0.? - 168.48.0.? - 312.48.0.? - 408.48.0.? - 476.48.0.? - 728.48.0.? - 1768.48.0.? - 2184.96.0.? - 2856.96.0.? - 5304.96.0.? - 12376.96.0.? - 37128.192.1.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 6 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '4.1285252940412325296246169571' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '1.0353130924966862469066346096' prec: 100 szpiro_ratio: 4.562767429603772 torsion: 4 torsion_primes: - 2 torsion_structure: - 2 - 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 - 6 - 0 - -2 - -2 - 12 - 0 - -10 - -12 - 10 - 4 - 8 - -10 - -8 - -4 - -10 - -2 class_deg: 8 class_size: 6 conductor: 32487 id: 136463 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.e trace_hash: 1963975111581066483 - - area: __RealLiteral__: 0 data: '0.018015255828028574003209361912' prec: 107 conductor: 32487 gens: - - -365 - 4135 - 1 heights: - __RealLiteral__: 0 data: '4.1285252940412325296246169571' prec: 100 id: 216287 lmfdb_label: 32487.e2 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.28338294524709173237431877809' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '4.6798146294100795709226626653705805888' prec: 130 tamagawa_product: 64 torsion_generators: - - -416 - 208 - 1 - - 60 - -30 - 1 xcoord_integral_points: - -416 - -365 - 60 - 6787 - - id: 216287 iwdata: '11': - 1 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': - 8 - 0 '23': - 1 - 1 - 0 '29': - 1 - 0 '3': - 6 - 0 '31': - 1 - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 1 - 0 '5': - 3 - 0 '7': a iwp0: 0 lmfdb_label: 32487.e2 - - degree: 2 field: - -7 - 0 - 1 id: 1617417 lmfdb_label: 32487.e2 torsion: - 2 - 4 - degree: 4 field: - 36 - 0 - -5 - 0 - 1 id: 1617419 lmfdb_label: 32487.e2 torsion: - 2 - 4 - degree: 4 field: - 242 - -38 - 39 - -2 - 1 id: 1617418 lmfdb_label: 32487.e2 torsion: - 2 - 4 - degree: 8 field: - -182873 - -6556 - 5068 - 2975 - -1484 - -7 - 7 - -4 - 1 id: 1617423 lmfdb_label: 32487.e2 torsion: - 2 - 6 - degree: 8 field: - 72 - -288 - 470 - -390 - 261 - -82 - 32 - -4 - 1 id: 1617420 lmfdb_label: 32487.e2 torsion: - 4 - 4 - degree: 8 field: - 33489 - 0 - 2904 - 0 - 382 - 0 - -8 - 0 - 1 id: 1617422 lmfdb_label: 32487.e2 torsion: - 2 - 8 - degree: 8 field: - 65966884 - 0 - -3798772 - 0 - 67773 - 0 - -454 - 0 - 1 id: 1617421 lmfdb_label: 32487.e2 torsion: - 2 - 8 - degree: 16 field: - 84627 - 122940 - -11430 - -192444 - 19882 - 90948 - -27930 - -5092 - 6203 - -5164 - 3158 - -1492 - 552 - -168 - 44 - -8 - 1 id: 1617425 lmfdb_label: 32487.e2 torsion: - 2 - 8 - degree: 16 field: - 9326097 - 16689564 - 5834124 - -3414060 - -3005002 - -662760 - 476532 - -199724 - 209519 - -67424 - 38364 - -8220 - 2946 - -452 - 104 - -8 - 1 id: 1617424 lmfdb_label: 32487.e2 torsion: - 2 - 8 - degree: 16 field: - 16573041 - 0 - 9502578 - 0 - 1177857 - 0 - -1447528 - 0 - 229238 - 0 - -18814 - 0 - 1360 - 0 - -56 - 0 - 1 id: 1617426 lmfdb_label: 32487.e2 torsion: - 2 - 12 - - conductor: 32487 conductor_valuation: 1 discriminant_valuation: 4 id: 759882 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 32487.e2 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 4 - conductor: 32487 conductor_valuation: 2 discriminant_valuation: 10 id: 759883 j_denominator_valuation: 4 kodaira_symbol: -8 lmfdb_label: 32487.e2 prime: 7 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 32487 conductor_valuation: 1 discriminant_valuation: 4 id: 759884 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 32487.e2 prime: 13 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 32487 conductor_valuation: 1 discriminant_valuation: 2 id: 759885 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 32487.e2 prime: 17 reduction_type: -1 root_number: 1 tamagawa_number: 2 - - adelic_gens: - - 12377 - 8 - 12380 - 33 - - 1 - 0 - 8 - 1 - - 13111 - 6 - 15282 - 37123 - - 1 - 8 - 0 - 1 - - 1 - 9286 - 0 - 27847 - - 18569 - 9284 - 9304 - 18573 - - 37121 - 8 - 37120 - 9 - - 5 - 4 - 37124 - 37125 - - 8569 - 4 - 0 - 1 - - 5303 - 37120 - 21212 - 37095 adelic_image: 37128.192.1.? conductor: 32487 id: 1881136 lmfdb_label: 32487.e2 prime: 0 - conductor: 32487 elladic_image: 4.12.0.3 id: 145229 lmfdb_label: 32487.e2 modell_image: 2Cs prime: 2 - - id: 1583782 lmfdb_iso: 32487.e p: 5 prec: 20 unit: 2801094382632 val: 2 - id: 1583775 lmfdb_iso: 32487.e p: 11 prec: 20 unit: 40907072186307765517 val: 1 - id: 1583776 lmfdb_iso: 32487.e p: 19 prec: 20 unit: 1208927576567190828641890 val: 1 - id: 1583773 lmfdb_iso: 32487.e p: 29 prec: 20 unit: 4856434867967809970985994346 val: 1 - id: 1583769 lmfdb_iso: 32487.e p: 37 prec: 20 unit: 595890220240691917777719516733 val: 1 - id: 1583771 lmfdb_iso: 32487.e p: 41 prec: 20 unit: 928407848924986950438126862178 val: 1 - id: 1583772 lmfdb_iso: 32487.e p: 43 prec: 20 unit: 7186033879449683938275716789576 val: 1 - id: 1583777 lmfdb_iso: 32487.e p: 53 prec: 20 unit: 64051692622021951226444226741747 val: 1 - id: 1583780 lmfdb_iso: 32487.e p: 59 prec: 20 unit: 3664360515846162213418995799520288 val: 1 - id: 1583781 lmfdb_iso: 32487.e p: 61 prec: 20 unit: 2911894642883641533395581803406527 val: 1 - id: 1583768 lmfdb_iso: 32487.e p: 67 prec: 20 unit: 17875821537487451482683789753603182 val: 1 - id: 1583770 lmfdb_iso: 32487.e p: 71 prec: 20 unit: 120285515495394024810788495062655393 val: 1 - id: 1583778 lmfdb_iso: 32487.e p: 73 prec: 20 unit: 75038799384885477640793083009553090 val: 1 - id: 1583774 lmfdb_iso: 32487.e p: 79 prec: 20 unit: 673486974063694667249435743823595098 val: 1 - id: 1583767 lmfdb_iso: 32487.e p: 83 prec: 20 unit: 1890368962216628789780121916709785194 val: 1 - id: 1583779 lmfdb_iso: 32487.e p: 89 prec: 20 unit: 7042846763258236851478306256938481287 val: 1 - id: 1583766 lmfdb_iso: 32487.e p: 97 prec: 20 unit: 19289854646935594318920321299931581431 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 32487.e2 - 32487.e - 32487.e2 - 32487.e2 - 32487.e2 - 32487.e2 - 32487.e2 - 32487.e tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-19T09:35:35.026191'