data: - - Ciso: 16830t Clabel: 16830t5 Cnumber: 5 abc_quality: 0.9918812413886786 absD: 276896064650926050 adelic_genus: 1 adelic_index: 192 adelic_level: 8976 ainvs: - 1 - -1 - 0 - -2629260 - 1641423766 analytic_rank: 1 bad_primes: - 2 - 3 - 5 - 11 - 17 class_deg: 8 class_size: 6 cm: 0 conductor: 16830 degree: 393216 elladic_images: - 8.24.0.100 faltings_height: __RealLiteral__: 0 data: '2.3644738720043001048141057163' prec: 100 faltings_index: 4 faltings_ratio: 8 id: 110958 iso_nlabel: 11 isogeny_degrees: - 1 - 2 - 4 - 8 jinv: - 2757381641970898311361 - 379829992662450 lmfdb_iso: 16830.l lmfdb_label: 16830.l1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 1 - 1 - 1 - -292140 - -60890853 min_quad_twist_disc: -3 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.24.0.r.1 - 12.12.0-4.c.1.1 - 24.48.0-8.r.1.6 - 88.48.0.? - 264.96.0.? - 272.48.0.? - 816.96.0.? - 2992.96.0.? - 8976.192.1.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 5 num_int_pts: 4 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '3.1142022360353461016818747865' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '1.8151677276702452591164830978' prec: 100 szpiro_ratio: 5.750766842588965 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - -1 - 0 - 1 - -1 - 0 - 0 - -1 - 0 - 1 - 1 - 0 - 6 - 0 - 0 - 1 - -1 - 0 - 4 - -1 aplist: - -1 - 0 - -1 - 0 - 1 - 6 - -1 - 4 - 0 - -6 - 0 - -2 - 6 - -4 - 8 - -14 - -12 - -2 - 4 - 0 - -6 - -8 - -4 - 6 - 2 class_deg: 8 class_size: 6 conductor: 16830 id: 67376 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: 16830.l trace_hash: 676997206436535951 - - area: __RealLiteral__: 0 data: '0.0088357636349982907283147693517' prec: 110 conductor: 16830 gens: - - 947 - -127 - 1 heights: - __RealLiteral__: 0 data: '3.1142022360353461016818747865' prec: 100 id: 110958 lmfdb_label: 16830.l1 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.29809818224992151881242685349' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '3.7133521028831108534846541573889091277' prec: 130 tamagawa_product: 16 torsion_generators: - - 3779 - -3779 - 2 xcoord_integral_points: - 947 - 21825 - - id: 110958 iwdata: '11': - 2 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': - 6 - 0 '23': - 1 - 1 - 0 '29': - 1 - 0 '3': a '31': - 1 - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 0 '5': - 1 - 0 '7': - 1 - 1 - 0 iwp0: 0 lmfdb_label: 16830.l1 - - degree: 2 field: - -6 - 0 - 1 id: 862763 lmfdb_label: 16830.l1 torsion: - 4 - degree: 2 field: - -3 - 0 - 1 id: 862762 lmfdb_label: 16830.l1 torsion: - 4 - degree: 2 field: - -2 - 0 - 1 id: 862761 lmfdb_label: 16830.l1 torsion: - 2 - 2 - degree: 4 field: - 1 - 0 - -4 - 0 - 1 id: 862764 lmfdb_label: 16830.l1 torsion: - 2 - 4 - degree: 4 field: - 4 - 0 - -7 - 0 - 1 id: 862766 lmfdb_label: 16830.l1 torsion: - 8 - degree: 4 field: - 121 - 0 - -44 - 0 - 1 id: 862765 lmfdb_label: 16830.l1 torsion: - 8 - degree: 8 field: - -381404 - 42989 - -45098 - 4217 - -2105 - -7 - 7 - -4 - 1 id: 862770 lmfdb_label: 16830.l1 torsion: - 6 - degree: 8 field: - -18 - 108 - -162 - 0 - 103 - -12 - -22 - 0 - 1 id: 862769 lmfdb_label: 16830.l1 torsion: - 2 - 8 - degree: 8 field: - 2500 - 0 - 0 - 0 - -50 - 0 - 0 - 0 - 1 id: 862768 lmfdb_label: 16830.l1 torsion: - 8 - degree: 8 field: - 36602500 - 0 - 0 - 0 - 6050 - 0 - 0 - 0 - 1 id: 862767 lmfdb_label: 16830.l1 torsion: - 2 - 4 - degree: 16 field: - 390625 - 0 - -312500 - 0 - 125000 - 0 - -75000 - 0 - 29375 - 0 - -3000 - 0 - 200 - 0 - -20 - 0 - 1 id: 862772 lmfdb_label: 16830.l1 torsion: - 2 - 8 - degree: 16 field: - 34503876 - 0 - 19633581 - 0 - 3857722 - 0 - 389883 - 0 - 19995 - 0 - -3833 - 0 - -453 - 0 - -6 - 0 - 1 id: 862776 lmfdb_label: 16830.l1 torsion: - 12 - degree: 16 field: - 56250000 - 0 - 21038544 - 0 - -3176060 - 0 - -2008128 - 0 - 305592 - 0 - -10300 - 0 - 960 - 0 - -48 - 0 - 1 id: 862777 lmfdb_label: 16830.l1 torsion: - 12 - degree: 16 field: - 3517438864 - 0 - -4265089936 - 0 - 1046643940 - 0 - -18327232 - 0 - 1734520 - 0 - 61868 - 0 - -320 - 0 - -16 - 0 - 1 id: 862775 lmfdb_label: 16830.l1 torsion: - 2 - 6 - degree: 16 field: - 124493242896 - 0 - 27665165088 - 0 - 17977699872 - 0 - 1081559952 - 0 - 156127752 - 0 - 1820808 - 0 - 50952 - 0 - 132 - 0 - 1 id: 862774 lmfdb_label: 16830.l1 torsion: - 16 - degree: 16 field: - 83733937890625 - 0 - -6089740937500 - 0 - 221445125000 - 0 - -12078825000 - 0 - 430079375 - 0 - -3993000 - 0 - 24200 - 0 - -220 - 0 - 1 id: 862771 lmfdb_label: 16830.l1 torsion: - 4 - 4 - degree: 16 field: - 67578079396626562500 - 0 - -3857673526492500000 - 0 - 60758647716937500 - 0 - -450644589450000 - 0 - 1841110363125 - 0 - -4345110000 - 0 - 5808000 - 0 - -3960 - 0 - 1 id: 862773 lmfdb_label: 16830.l1 torsion: - 16 - - conductor: 16830 conductor_valuation: 1 discriminant_valuation: 1 id: 374831 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 16830.l1 prime: 2 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 16830 conductor_valuation: 2 discriminant_valuation: 8 id: 374832 j_denominator_valuation: 2 kodaira_symbol: -6 lmfdb_label: 16830.l1 prime: 3 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 16830 conductor_valuation: 1 discriminant_valuation: 2 id: 374833 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 16830.l1 prime: 5 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 16830 conductor_valuation: 1 discriminant_valuation: 2 id: 374834 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 16830.l1 prime: 11 reduction_type: 1 root_number: -1 tamagawa_number: 2 - conductor: 16830 conductor_valuation: 1 discriminant_valuation: 8 id: 374835 j_denominator_valuation: 8 kodaira_symbol: 12 lmfdb_label: 16830.l1 prime: 17 reduction_type: -1 root_number: 1 tamagawa_number: 2 - - adelic_gens: - - 5971 - 8960 - 3248 - 315 - - 8961 - 16 - 8960 - 17 - - 829 - 16 - 3008 - 8661 - - 1 - 16 - 0 - 1 - - 2252 - 2249 - 4491 - 4490 - - 1057 - 16 - 8456 - 129 - - 1 - 0 - 16 - 1 - - 5 - 4 - 8972 - 8973 - - 5623 - 16 - 7598 - 1929 - - 15 - 2 - 8878 - 8963 adelic_image: 8976.192.1.? conductor: 16830 id: 1776236 lmfdb_label: 16830.l1 prime: 0 - conductor: 16830 elladic_image: 8.24.0.100 id: 79126 lmfdb_label: 16830.l1 modell_image: 2B prime: 2 - - id: 765736 lmfdb_iso: 16830.l p: 13 prec: 20 unit: 1031691893920260429240 val: 1 - id: 765739 lmfdb_iso: 16830.l p: 19 prec: 20 unit: 747704632240816569946956 val: 1 - id: 765735 lmfdb_iso: 16830.l p: 29 prec: 20 unit: 4374055162925590180386742823 val: 1 - id: 765732 lmfdb_iso: 16830.l p: 37 prec: 20 unit: 137912721577481600751851027589 val: 1 - id: 765733 lmfdb_iso: 16830.l p: 41 prec: 20 unit: 711405631871726812257175996960 val: 1 - id: 765734 lmfdb_iso: 16830.l p: 43 prec: 20 unit: 3869323768262185721638658801841 val: 1 - id: 765743 lmfdb_iso: 16830.l p: 47 prec: 20 unit: 31516929875440907850661063839208 val: 1 - id: 765740 lmfdb_iso: 16830.l p: 53 prec: 20 unit: 330993882806578990181380456702065 val: 1 - id: 765738 lmfdb_iso: 16830.l p: 59 prec: 20 unit: 1679627492674660822829590132032191 val: 1 - id: 765744 lmfdb_iso: 16830.l p: 61 prec: 20 unit: 2862151571965726229117394433712205 val: 1 - id: 765731 lmfdb_iso: 16830.l p: 67 prec: 20 unit: 42507850363180130474562396067495943 val: 1 - id: 765741 lmfdb_iso: 16830.l p: 73 prec: 20 unit: 73125043244267474615546868676529442 val: 1 - id: 765737 lmfdb_iso: 16830.l p: 79 prec: 20 unit: 329450304822853710572738386343734689 val: 1 - id: 765730 lmfdb_iso: 16830.l p: 83 prec: 20 unit: 2858537499939903983008891962208880339 val: 1 - id: 765742 lmfdb_iso: 16830.l p: 89 prec: 20 unit: 7547599274456797731956560096763741364 val: 1 - id: 765729 lmfdb_iso: 16830.l p: 97 prec: 20 unit: 19544825010629408635503357615741875833 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 16830.l1 - 16830.l - 16830.l1 - 16830.l1 - 16830.l1 - 16830.l1 - 16830.l1 - 16830.l tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-21T12:31:38.420928'