data: - - Ciso: 9408ce Clabel: 9408ce1 Cnumber: 1 abc_quality: 0.9673193989883411 absD: 4269246912 adelic_genus: 0 adelic_index: 48 adelic_level: 168 ainvs: - 0 - -1 - 0 - -604 - 4978 analytic_rank: 1 bad_primes: - 2 - 3 - 7 class_deg: 4 class_size: 4 cm: 0 conductor: 9408 degree: 6144 elladic_images: - 8.12.0.8 faltings_height: __RealLiteral__: 0 data: '0.56774825626097227778941137476' prec: 103 faltings_index: 0 faltings_ratio: 1 id: 60798 iso_nlabel: 6 isogeny_degrees: - 1 - 2 - 4 jinv: - 3241792 - 567 lmfdb_iso: 9408.g lmfdb_label: 9408.g3 lmfdb_number: 3 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -49 - -95 min_quad_twist_disc: -56 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.12.0-4.c.1.4 - 24.24.0-24.bb.1.1 - 28.12.0.h.1 - 56.24.0-28.h.1.1 - 168.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 3 num_int_pts: 5 optimality: 1 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '1.0062519055101346244605719862' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.75178040854665702947188105769' prec: 107 szpiro_ratio: 3.3692116340016467 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - -1 - 0 - -2 - 0 - 0 - 0 - 1 - 0 - -4 - 0 - -6 - 0 - 2 - 0 - 2 - 0 - -4 - 0 aplist: - 0 - -1 - -2 - 0 - -4 - -6 - 2 - -4 - 4 - 2 - 8 - 10 - 2 - 8 - 0 - 10 - 12 - 10 - -8 - -12 - -2 - 0 - -12 - -6 - -2 class_deg: 4 class_size: 4 conductor: 9408 id: 35582 isogeny_matrix: - - 1 - 2 - 4 - 4 - - 2 - 1 - 2 - 2 - - 4 - 2 - 1 - 4 - - 4 - 2 - 4 - 1 lmfdb_iso: 9408.g trace_hash: 335772944373011141 - - area: __RealLiteral__: 0 data: '0.32126257083900603252105584921' prec: 103 conductor: 9408 gens: - - -9 - 98 - 1 heights: - __RealLiteral__: 0 data: '1.0062519055101346244605719862' prec: 100 id: 60798 lmfdb_label: 9408.g3 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '1.3187798420245438905932851713' prec: 100 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '2.6540494579711032122459358627058480421' prec: 130 tamagawa_product: 8 torsion_generators: - - 19 - 0 - 1 xcoord_integral_points: - -9 - 19 - 163 - - id: 60798 iwdata: '11': - 1 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': a '23': - 1 - 0 '29': - 1 - 0 '3': - 1 - 0 '31': - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 1 - 0 '5': - 1 - 0 '7': a iwp0: 0 lmfdb_label: 9408.g3 - - degree: 2 field: - -14 - 0 - 1 id: 490142 lmfdb_label: 9408.g3 torsion: - 4 - degree: 2 field: - -7 - 0 - 1 id: 490140 lmfdb_label: 9408.g3 torsion: - 2 - 2 - degree: 2 field: - -2 - 0 - 1 id: 490141 lmfdb_label: 9408.g3 torsion: - 4 - degree: 4 field: - 9 - 0 - -8 - 0 - 1 id: 490143 lmfdb_label: 9408.g3 torsion: - 2 - 4 - degree: 8 field: - -2352 - 0 - 1792 - 0 - -168 - 0 - 0 - 0 - 1 id: 490147 lmfdb_label: 9408.g3 torsion: - 6 - degree: 8 field: - 1 - 0 - 4 - 0 - -1 - 0 - 4 - 0 - 1 id: 490144 lmfdb_label: 9408.g3 torsion: - 2 - 4 - degree: 8 field: - 100 - 0 - 184 - 0 - 96 - 0 - 4 - 0 - 1 id: 490146 lmfdb_label: 9408.g3 torsion: - 8 - degree: 8 field: - 289 - 0 - -732 - 0 - 290 - 0 - -36 - 0 - 1 id: 490145 lmfdb_label: 9408.g3 torsion: - 8 - degree: 16 field: - -311 - -1492 - 8872 - 140 - -27376 - 8024 - 29748 - -11644 - -14047 - 6568 - 2928 - -1700 - -202 - 196 - -8 - -8 - 1 id: 490150 lmfdb_label: 9408.g3 torsion: - 2 - 8 - degree: 16 field: - 16 - 0 - 0 - 0 - -24 - 0 - 0 - 0 - 73 - 0 - 0 - 0 - 15 - 0 - 0 - 0 - 1 id: 490148 lmfdb_label: 9408.g3 torsion: - 4 - 4 - degree: 16 field: - 49 - 196 - 812 - -280 - -152 - 1212 - 440 - -244 - 967 - 148 - 200 - 132 - 40 - -8 - 20 - -4 - 1 id: 490149 lmfdb_label: 9408.g3 torsion: - 2 - 8 - degree: 16 field: - 1764 - 0 - -28224 - 0 - 14112 - 0 - 12376 - 0 - 1484 - 0 - -56 - 0 - 4 - 0 - -4 - 0 - 1 id: 490152 lmfdb_label: 9408.g3 torsion: - 12 - degree: 16 field: - 86436 - 0 - -197568 - 0 - 127008 - 0 - -16856 - 0 - 2156 - 0 - -392 - 0 - 196 - 0 - -28 - 0 - 1 id: 490153 lmfdb_label: 9408.g3 torsion: - 12 - degree: 16 field: - 191781 - -183384 - -468630 - 193248 - 473238 - 76260 - -81738 - -18456 - -6085 - -5144 - 1502 - 880 - -64 - 4 - -8 - -4 - 1 id: 490151 lmfdb_label: 9408.g3 torsion: - 2 - 6 - - conductor: 9408 conductor_valuation: 6 discriminant_valuation: 6 id: 198049 j_denominator_valuation: 0 kodaira_symbol: 2 lmfdb_label: 9408.g3 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 1 - conductor: 9408 conductor_valuation: 1 discriminant_valuation: 4 id: 198050 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 9408.g3 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 9408 conductor_valuation: 2 discriminant_valuation: 7 id: 198051 j_denominator_valuation: 1 kodaira_symbol: -5 lmfdb_label: 9408.g3 prime: 7 reduction_type: 0 root_number: -1 tamagawa_number: 4 - - adelic_gens: - - 1 - 0 - 8 - 1 - - 1 - 8 - 0 - 1 - - 88 - 165 - 139 - 166 - - 104 - 13 - 101 - 72 - - 7 - 6 - 162 - 163 - - 161 - 8 - 160 - 9 - - 113 - 8 - 116 - 33 - - 13 - 18 - 142 - 61 - - 1 - 4 - 4 - 17 adelic_image: 168.48.0.? conductor: 9408 id: 1726248 lmfdb_label: 9408.g3 prime: 0 - conductor: 9408 elladic_image: 8.12.0.8 id: 45703 lmfdb_label: 9408.g3 modell_image: 2B prime: 2 - - id: 394598 lmfdb_iso: 9408.g p: 5 prec: 20 unit: 693446689356 val: 1 - id: 394605 lmfdb_iso: 9408.g p: 11 prec: 20 unit: 25506755488984161565 val: 1 - id: 394603 lmfdb_iso: 9408.g p: 13 prec: 20 unit: 98165096855398497434 val: 1 - id: 394606 lmfdb_iso: 9408.g p: 17 prec: 20 unit: 13222911668245140850798 val: 1 - id: 394607 lmfdb_iso: 9408.g p: 19 prec: 20 unit: 1271691134800001403912735 val: 1 - id: 394610 lmfdb_iso: 9408.g p: 23 prec: 20 unit: 55355526871300800767740603 val: 1 - id: 394604 lmfdb_iso: 9408.g p: 29 prec: 20 unit: 3367778597649243902134935407 val: 1 - id: 394600 lmfdb_iso: 9408.g p: 31 prec: 20 unit: 19888635020104896610344971445 val: 1 - id: 394614 lmfdb_iso: 9408.g p: 37 prec: 20 unit: 596212939380349641348364956773 val: 1 - id: 394601 lmfdb_iso: 9408.g p: 41 prec: 20 unit: 840206585404539091360790142241 val: 1 - id: 394602 lmfdb_iso: 9408.g p: 43 prec: 20 unit: 3806893217712594154226946525479 val: 1 - id: 394608 lmfdb_iso: 9408.g p: 53 prec: 20 unit: 347849651441998884116194203458857 val: 1 - id: 394612 lmfdb_iso: 9408.g p: 59 prec: 20 unit: 1844380463238598739615005328291281 val: 1 - id: 394613 lmfdb_iso: 9408.g p: 61 prec: 20 unit: 7978627494845173782547082501308082 val: 1 - id: 394597 lmfdb_iso: 9408.g p: 67 prec: 20 unit: 17610706136832730348692523626162981 val: 1 - id: 394599 lmfdb_iso: 9408.g p: 71 prec: 20 unit: 54136541161146100545361850248741733 val: 1 - id: 394609 lmfdb_iso: 9408.g p: 73 prec: 20 unit: 164671171802808638309427047885666199 val: 1 - id: 394596 lmfdb_iso: 9408.g p: 83 prec: 20 unit: 624266522529554928377593974507564989 val: 1 - id: 394611 lmfdb_iso: 9408.g p: 89 prec: 20 unit: 2426897619938460016294283366651999432 val: 1 - id: 394595 lmfdb_iso: 9408.g p: 97 prec: 20 unit: 10532549016179699808763506682478374297 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 9408.g3 - 9408.g - 9408.g3 - 9408.g3 - 9408.g3 - 9408.g3 - 9408.g3 - 9408.g tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-11T16:44:59.140863'