data: - - Ciso: 1680m Clabel: 1680m3 Cnumber: 3 abc_quality: 1.0154697965758581 absD: 353561707806720 adelic_genus: 5 adelic_index: 384 adelic_level: 840 ainvs: - 0 - -1 - 0 - -23560 - 1065712 analytic_rank: 1 bad_primes: - 2 - 3 - 5 - 7 class_deg: 12 class_size: 8 cm: 0 conductor: 1680 degree: 6912 elladic_images: - 8.12.0.6 - 3.4.0.1 faltings_height: __RealLiteral__: 0 data: '1.5022650063104486806767562050' prec: 100 faltings_index: 2 faltings_ratio: 3 id: 9290 iso_nlabel: 6 isogeny_degrees: - 1 - 2 - 3 - 4 - 6 - 12 jinv: - 353108405631241 - 86318776320 lmfdb_iso: 1680.g lmfdb_label: 1680.g5 lmfdb_number: 5 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 1 - -1473 - -16652 min_quad_twist_disc: -4 modell_images: - 2B - 3B modm_images: - 2.3.0.a.1 - 3.4.0.a.1 - 4.6.0.c.1 - 6.12.0.a.1 - 8.12.0-4.c.1.5 - 12.48.0-12.g.1.4 - 20.12.0-4.c.1.1 - 24.96.0-24.bt.2.3 - 40.24.0-40.ba.1.2 - 60.96.0-60.c.1.10 - 84.96.0.? - 120.192.1.? - 168.192.1.? - 210.24.0.? - 420.192.1.? - 840.384.5.? nonmax_primes: - 2 - 3 nonmax_rad: 6 num_bad_primes: 4 num_int_pts: 3 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '5.0891985548147912517953548275' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '0.80911782575050337125952408354' prec: 103 szpiro_ratio: 5.630550876713398 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - -1 - 0 - 1 - 0 - -1 - 0 - 1 - 0 - 0 - 0 - 2 - 0 - -1 - 0 - -6 - 0 - -8 - 0 aplist: - 0 - -1 - 1 - -1 - 0 - 2 - -6 - -8 - 0 - 6 - 4 - -10 - -6 - 4 - 0 - -6 - 12 - -10 - 4 - -12 - -10 - -8 - -12 - -6 - -10 class_deg: 12 class_size: 8 conductor: 1680 id: 4712 isogeny_matrix: - - 1 - 2 - 4 - 3 - 4 - 6 - 12 - 12 - - 2 - 1 - 2 - 6 - 2 - 3 - 6 - 6 - - 4 - 2 - 1 - 12 - 4 - 6 - 12 - 3 - - 3 - 6 - 12 - 1 - 12 - 2 - 4 - 4 - - 4 - 2 - 4 - 12 - 1 - 6 - 3 - 12 - - 6 - 3 - 6 - 2 - 6 - 1 - 2 - 2 - - 12 - 6 - 12 - 4 - 3 - 2 - 1 - 4 - - 12 - 6 - 3 - 4 - 12 - 2 - 4 - 1 lmfdb_iso: 1680.g trace_hash: 1653484370542573193 - - area: __RealLiteral__: 0 data: '0.049562042389873514655034781884' prec: 107 conductor: 1680 gens: - - -3 - 1066 - 1 heights: - __RealLiteral__: 0 data: '5.0891985548147912517953548275' prec: 100 id: 9290 lmfdb_label: 1680.g5 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.50545013393832235342839350451' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '2.5723360911698527936053925969710470064' prec: 130 tamagawa_product: 4 torsion_generators: - - -172 - 0 - 1 xcoord_integral_points: - -172 - -3 - - id: 9290 iwdata: '11': - 1 - 1 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': a '23': - 1 - 1 - 0 '29': - 1 - 0 '3': - 1 - 0 '31': - 3 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 1 - 0 '5': - 4 - 0 '7': - 1 - 0 iwp0: 0 lmfdb_label: 1680.g5 - - degree: 2 field: - -26 - -1 - 1 id: 84829 lmfdb_label: 1680.g5 torsion: - 2 - 2 - degree: 2 field: - -3 - 0 - 1 id: 84832 lmfdb_label: 1680.g5 torsion: - 6 - degree: 2 field: - 5 - 0 - 1 id: 84830 lmfdb_label: 1680.g5 torsion: - 4 - degree: 2 field: - 21 - 0 - 1 id: 84831 lmfdb_label: 1680.g5 torsion: - 4 - degree: 4 field: - 4 - 0 - 1 - 0 - 1 id: 84836 lmfdb_label: 1680.g5 torsion: - 12 - degree: 4 field: - 16 - -8 - 14 - -2 - 1 id: 84834 lmfdb_label: 1680.g5 torsion: - 8 - degree: 4 field: - 16 - 0 - 13 - 0 - 1 id: 84833 lmfdb_label: 1680.g5 torsion: - 2 - 4 - degree: 4 field: - 22 - 2 - -1 - -2 - 1 id: 84837 lmfdb_label: 1680.g5 torsion: - 12 - degree: 4 field: - 64 - 0 - -19 - 0 - 1 id: 84835 lmfdb_label: 1680.g5 torsion: - 2 - 6 - degree: 6 field: - 225 - 0 - 0 - 0 - 0 - 0 - 1 id: 84838 lmfdb_label: 1680.g5 torsion: - 6 - degree: 8 field: - 16 - 0 - 172 - 0 - 129 - 0 - 22 - 0 - 1 id: 84840 lmfdb_label: 1680.g5 torsion: - 8 - degree: 8 field: - 16 - 40 - -2 - -86 - 69 - -34 - 16 - -4 - 1 id: 84842 lmfdb_label: 1680.g5 torsion: - 2 - 12 - degree: 8 field: - 96 - 192 - 160 - 72 - 14 - -2 - -5 - -2 - 1 id: 84843 lmfdb_label: 1680.g5 torsion: - 24 - degree: 8 field: - 196 - 0 - 329 - 0 - 51 - 0 - -1 - 0 - 1 id: 84841 lmfdb_label: 1680.g5 torsion: - 2 - 8 - degree: 8 field: - 7396 - 13416 - 4153 - -1605 - 96 - -165 - 22 - -3 - 1 id: 84839 lmfdb_label: 1680.g5 torsion: - 2 - 4 - degree: 12 field: - 14400 - 0 - 0 - 0 - 0 - 0 - 17985 - 0 - 0 - 0 - 0 - 0 - 1 id: 84845 lmfdb_label: 1680.g5 torsion: - 2 - 6 - degree: 12 field: - 54676 - 61380 - 12834 - -13230 - -6045 - -90 - 1395 - 0 - 30 - -60 - 9 - 0 - 1 id: 84846 lmfdb_label: 1680.g5 torsion: - 12 - degree: 12 field: - 65536 - 0 - 22272 - 0 - 6801 - 0 - 773 - 0 - 96 - 0 - -3 - 0 - 1 id: 84844 lmfdb_label: 1680.g5 torsion: - 3 - 6 - degree: 12 field: - 180100 - 382500 - 271050 - 45570 - -11325 - 7110 - 4331 - 0 - 438 - -60 - 33 - 0 - 1 id: 84847 lmfdb_label: 1680.g5 torsion: - 12 - degree: 16 field: - 16 - 0 - 7848 - 0 - 23977 - 0 - 26508 - 0 - 13548 - 0 - 3594 - 0 - 508 - 0 - 36 - 0 - 1 id: 84849 lmfdb_label: 1680.g5 torsion: - 2 - 8 - degree: 16 field: - 256 - 0 - 832 - 0 - 1984 - 0 - 1924 - 0 - 1333 - 0 - 481 - 0 - 124 - 0 - 13 - 0 - 1 id: 84852 lmfdb_label: 1680.g5 torsion: - 24 - degree: 16 field: - 256 - 0 - 2836 - 0 - 7820 - 0 - -3291 - 0 - 749 - 0 - 54 - 0 - -10 - 0 - 1 - 0 - 1 id: 84853 lmfdb_label: 1680.g5 torsion: - 2 - 24 - degree: 16 field: - 37636 - 0 - -5064 - 0 - -10295 - 0 - -576 - 0 - 1104 - 0 - 234 - 0 - -20 - 0 - -24 - 0 - 1 id: 84851 lmfdb_label: 1680.g5 torsion: - 2 - 12 - degree: 16 field: - 56216 - 150256 - 169168 - 94992 - 71026 - 40136 - 25720 - 8186 - 4589 - 1492 - 560 - 8 - 56 - 4 - -8 - -2 - 1 id: 84850 lmfdb_label: 1680.g5 torsion: - 16 - degree: 16 field: - 3519376 - 5357856 - 4078368 - 3062304 - 1703128 - 596736 - 267120 - 94920 - 4041 - 4110 - 5490 - 1224 - -137 - -144 - 18 - -6 - 1 id: 84848 lmfdb_label: 1680.g5 torsion: - 4 - 4 - degree: 18 field: - -29767500 - 0 - 357210000 - 0 - 174069000 - 0 - 26044425 - 0 - 222750 - 0 - -268245 - 0 - -17088 - 0 - 459 - 0 - 54 - 0 - 1 id: 84854 lmfdb_label: 1680.g5 torsion: - 18 - - conductor: 1680 conductor_valuation: 4 discriminant_valuation: 36 id: 26617 j_denominator_valuation: 24 kodaira_symbol: -32 lmfdb_label: 1680.g5 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 1680 conductor_valuation: 1 discriminant_valuation: 1 id: 26618 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 1680.g5 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 1680 conductor_valuation: 1 discriminant_valuation: 1 id: 26619 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 1680.g5 prime: 5 reduction_type: 1 root_number: -1 tamagawa_number: 1 - conductor: 1680 conductor_valuation: 1 discriminant_valuation: 3 id: 26620 j_denominator_valuation: 3 kodaira_symbol: 7 lmfdb_label: 1680.g5 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 1 - - adelic_gens: - - 681 - 808 - 836 - 509 - - 1 - 12 - 12 - 145 - - 352 - 21 - 555 - 466 - - 623 - 816 - 726 - 329 - - 15 - 106 - 374 - 11 - - 576 - 719 - 305 - 546 - - 817 - 24 - 816 - 25 - - 496 - 3 - 261 - 754 - - 1 - 24 - 0 - 1 - - 1 - 0 - 24 - 1 adelic_image: 840.384.5.? conductor: 1680 id: 1674992 lmfdb_label: 1680.g5 prime: 0 - conductor: 1680 elladic_image: 8.12.0.6 id: 8176 lmfdb_label: 1680.g5 modell_image: 2B prime: 2 - conductor: 1680 elladic_image: 3.4.0.1 id: 8177 lmfdb_label: 1680.g5 modell_image: 3B prime: 3 - - id: 46135 lmfdb_iso: 1680.g p: 13 prec: 20 unit: 106389479071881593151 val: 1 - id: 46137 lmfdb_iso: 1680.g p: 17 prec: 20 unit: 191147851075232301969043 val: 1 - id: 46127 lmfdb_iso: 1680.g p: 19 prec: 20 unit: 1136981382265158072313586 val: 1 - id: 46134 lmfdb_iso: 1680.g p: 29 prec: 20 unit: 3063496892073124991409298143 val: 1 - id: 46144 lmfdb_iso: 1680.g p: 31 prec: 20 unit: 154133115294375290852900529 val: 2 - id: 46130 lmfdb_iso: 1680.g p: 37 prec: 20 unit: 420152068206172678427583542809 val: 1 - id: 46132 lmfdb_iso: 1680.g p: 41 prec: 20 unit: 2508146771914808172812928625241 val: 1 - id: 46133 lmfdb_iso: 1680.g p: 43 prec: 20 unit: 196264166919074839404512853575 val: 1 - id: 46139 lmfdb_iso: 1680.g p: 53 prec: 20 unit: 224083203157127135938065457822753 val: 1 - id: 46142 lmfdb_iso: 1680.g p: 59 prec: 20 unit: 1015605645853847333953509644750645 val: 1 - id: 46143 lmfdb_iso: 1680.g p: 61 prec: 20 unit: 3456969552389105562234483532801406 val: 1 - id: 46129 lmfdb_iso: 1680.g p: 67 prec: 20 unit: 16980148289088262870778016417071995 val: 1 - id: 46131 lmfdb_iso: 1680.g p: 71 prec: 20 unit: 139297405010906114493121375219854529 val: 1 - id: 46140 lmfdb_iso: 1680.g p: 73 prec: 20 unit: 218074221371864083673894413483062901 val: 1 - id: 46136 lmfdb_iso: 1680.g p: 79 prec: 20 unit: 203953938604606579154711459913216068 val: 1 - id: 46138 lmfdb_iso: 1680.g p: 83 prec: 20 unit: 916567672350152952735510529852116246 val: 1 - id: 46141 lmfdb_iso: 1680.g p: 89 prec: 20 unit: 3856267370130295445522515374260973921 val: 1 - id: 46128 lmfdb_iso: 1680.g p: 97 prec: 20 unit: 27012861260976360851758064976407499563 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 1680.g5 - 1680.g - 1680.g5 - 1680.g5 - 1680.g5 - 1680.g5 - 1680.g5 - 1680.g tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-23T14:58:47.704726'