data: - - Ciso: 9240bj Clabel: 9240bj3 Cnumber: 3 abc_quality: 0.9686861077612055 absD: 23244051600000000 adelic_genus: 1 adelic_index: 192 adelic_level: 616 ainvs: - 0 - 1 - 0 - -109880 - -11983872 analytic_rank: 1 bad_primes: - 2 - 3 - 5 - 7 - 11 class_deg: 8 class_size: 6 cm: 0 conductor: 9240 degree: 65536 elladic_images: - 8.48.0.32 faltings_height: __RealLiteral__: 0 data: '1.8630720613925436953460048409' prec: 100 faltings_index: 3 faltings_ratio: 4 id: 59622 iso_nlabel: 34 isogeny_degrees: - 1 - 2 - 4 jinv: - 143279368983686884 - 22699269140625 lmfdb_iso: 9240.bi lmfdb_label: 9240.bi3 lmfdb_number: 3 manin_constant: 1 min_quad_twist_ainvs: - 0 - 1 - 0 - -109880 - -11983872 min_quad_twist_disc: 1 modell_images: - 2Cs modm_images: - 2.6.0.a.1 - 4.24.0-4.b.1.1 - 8.48.0-8.e.2.4 - 56.96.0-56.m.1.5 - 88.96.0.? - 616.192.1.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 5 num_int_pts: 11 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '1.3180786386008951706251567094' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '1.2854494109259226041649780730' prec: 100 szpiro_ratio: 5.085262664981639 torsion: 4 torsion_primes: - 2 torsion_structure: - 2 - 2 - - anlist: - 0 - 1 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - -1 - 0 - -2 - 0 - 1 - 0 - -6 - 0 - -4 - 0 aplist: - 0 - 1 - 1 - 1 - -1 - -2 - -6 - -4 - 0 - 6 - 0 - -10 - 2 - 4 - 0 - 6 - -4 - -2 - -4 - -16 - 2 - 0 - 12 - -6 - 2 class_deg: 8 class_size: 6 conductor: 9240 id: 34875 isogeny_matrix: - - 1 - 8 - 2 - 4 - 8 - 4 - - 8 - 1 - 4 - 2 - 4 - 8 - - 2 - 4 - 1 - 2 - 4 - 2 - - 4 - 2 - 2 - 1 - 2 - 4 - - 8 - 4 - 4 - 2 - 1 - 8 - - 4 - 8 - 2 - 4 - 8 - 1 lmfdb_iso: 9240.bi trace_hash: 328015639491014484 - - area: __RealLiteral__: 0 data: '0.024085527855410785510070143379' prec: 107 conductor: 9240 gens: - - -224 - 1200 - 1 heights: - __RealLiteral__: 0 data: '1.3180786386008951706251567094' prec: 100 id: 59622 lmfdb_label: 9240.bi3 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.26502578931397619766087881154' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '5.5891973051694946858745358533627090018' prec: 130 tamagawa_product: 256 torsion_generators: - - -128 - 0 - 1 - - 376 - 0 - 1 xcoord_integral_points: - -249 - -224 - -149 - -128 - 376 - 1272 - 2776 - - id: 59622 iwdata: '11': - 1 - 0 '13': - 1 - 0 '17': - 3 - 0 '19': - 1 - 0 '2': a '23': - 1 - 1 - 0 '29': - 1 - 0 '3': - 2 - 0 '31': - 1 - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 1 - 0 '5': - 6 - 0 '7': - 2 - 0 iwp0: 0 lmfdb_label: 9240.bi3 - - degree: 2 field: - -14 - 0 - 1 id: 480942 lmfdb_label: 9240.bi3 torsion: - 2 - 4 - degree: 2 field: - 1 - 0 - 1 id: 480940 lmfdb_label: 9240.bi3 torsion: - 2 - 4 - degree: 2 field: - 14 - 0 - 1 id: 480941 lmfdb_label: 9240.bi3 torsion: - 2 - 4 - degree: 4 field: - 9 - 0 - -5 - 0 - 1 id: 480944 lmfdb_label: 9240.bi3 torsion: - 2 - 8 - degree: 4 field: - 49 - 0 - 0 - 0 - 1 id: 480943 lmfdb_label: 9240.bi3 torsion: - 4 - 4 - degree: 8 field: - -19683 - 0 - 4068 - 0 - -486 - 0 - 0 - 0 - 1 id: 480948 lmfdb_label: 9240.bi3 torsion: - 2 - 6 - degree: 8 field: - 2825 - 1460 - -1308 - -316 - 189 - -40 - 18 - -4 - 1 id: 480945 lmfdb_label: 9240.bi3 torsion: - 4 - 8 - degree: 8 field: - 4041 - -1512 - 16488 - -3024 - 430 - -168 - -8 - 0 - 1 id: 480946 lmfdb_label: 9240.bi3 torsion: - 2 - 8 - degree: 8 field: - 14884 - 0 - -3056 - 0 - -228 - 0 - -8 - 0 - 1 id: 480947 lmfdb_label: 9240.bi3 torsion: - 2 - 8 - degree: 16 field: - 15752961 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 134946 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 1 id: 480950 lmfdb_label: 9240.bi3 torsion: - 4 - 8 - degree: 16 field: - 35081929 - -135328704 - 261015552 - -7336560 - 2056730 - -4777752 - 3894912 - -507360 - 48831 - -45192 - 14112 - -3360 - 662 - -168 - 0 - 0 - 1 id: 480949 lmfdb_label: 9240.bi3 torsion: - 4 - 8 - degree: 16 field: - 252047376 - 0 - -144027072 - 0 - 20575296 - 0 - 1684816 - 0 - -335944 - 0 - -11816 - 0 - 196 - 0 - -28 - 0 - 1 id: 480953 lmfdb_label: 9240.bi3 torsion: - 2 - 12 - degree: 16 field: - 252047376 - 0 - 144027072 - 0 - 20575296 - 0 - -1684816 - 0 - -335944 - 0 - 11816 - 0 - 196 - 0 - 28 - 0 - 1 id: 480952 lmfdb_label: 9240.bi3 torsion: - 2 - 12 - degree: 16 field: - 587383696 - 0 - -235726048 - 0 - 30518416 - 0 - -1993696 - 0 - 107656 - 0 - 10136 - 0 - -944 - 0 - 8 - 0 - 1 id: 480954 lmfdb_label: 9240.bi3 torsion: - 2 - 12 - degree: 16 field: - 5841118063125 - -1189893712500 - 1240601812500 - -46144330500 - 22730370550 - 4476734400 - -1232304300 - -343169020 - 64624151 - 6366896 - -732892 - -98380 - 12426 - 180 - 32 - -8 - 1 id: 480951 lmfdb_label: 9240.bi3 torsion: - 2 - 16 - - conductor: 9240 conductor_valuation: 3 discriminant_valuation: 10 id: 194011 j_denominator_valuation: 0 kodaira_symbol: -3 lmfdb_label: 9240.bi3 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 9240 conductor_valuation: 1 discriminant_valuation: 4 id: 194012 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 9240.bi3 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 4 - conductor: 9240 conductor_valuation: 1 discriminant_valuation: 8 id: 194013 j_denominator_valuation: 8 kodaira_symbol: 12 lmfdb_label: 9240.bi3 prime: 5 reduction_type: 1 root_number: -1 tamagawa_number: 8 - conductor: 9240 conductor_valuation: 1 discriminant_valuation: 2 id: 194014 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 9240.bi3 prime: 7 reduction_type: 1 root_number: -1 tamagawa_number: 2 - conductor: 9240 conductor_valuation: 1 discriminant_valuation: 4 id: 194015 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 9240.bi3 prime: 11 reduction_type: -1 root_number: 1 tamagawa_number: 2 - - adelic_gens: - - 609 - 8 - 608 - 9 - - 7 - 156 - 570 - 449 - - 5 - 4 - 612 - 613 - - 3 - 466 - 458 - 611 - - 1 - 0 - 8 - 1 - - 57 - 4 - 0 - 1 - - 1 - 8 - 0 - 1 - - 7 - 6 - 346 - 611 adelic_image: 616.192.1.? conductor: 9240 id: 1724986 lmfdb_label: 9240.bi3 prime: 0 - conductor: 9240 elladic_image: 8.48.0.32 id: 44802 lmfdb_label: 9240.bi3 modell_image: 2Cs prime: 2 - - id: 387082 lmfdb_iso: 9240.bi p: 13 prec: 20 unit: 608494312802013377424 val: 1 - id: 387084 lmfdb_iso: 9240.bi p: 17 prec: 20 unit: 12815484681490631694825 val: 2 - id: 387075 lmfdb_iso: 9240.bi p: 19 prec: 20 unit: 1621763415647166310896964 val: 1 - id: 387083 lmfdb_iso: 9240.bi p: 29 prec: 20 unit: 5491829791088928806538863698 val: 1 - id: 387078 lmfdb_iso: 9240.bi p: 37 prec: 20 unit: 260210651054924141765184370715 val: 1 - id: 387080 lmfdb_iso: 9240.bi p: 41 prec: 20 unit: 81740005262608577872377547010 val: 1 - id: 387081 lmfdb_iso: 9240.bi p: 43 prec: 20 unit: 1839553121032487488911419454772 val: 1 - id: 387086 lmfdb_iso: 9240.bi p: 53 prec: 20 unit: 51644474242219791099907159320205 val: 1 - id: 387089 lmfdb_iso: 9240.bi p: 59 prec: 20 unit: 1817298613379314710433648669545823 val: 1 - id: 387090 lmfdb_iso: 9240.bi p: 61 prec: 20 unit: 5951360362378079701123087689499941 val: 1 - id: 387077 lmfdb_iso: 9240.bi p: 67 prec: 20 unit: 14821646057479979961470746936028736 val: 1 - id: 387079 lmfdb_iso: 9240.bi p: 71 prec: 20 unit: 91108833729083157621617523297259677 val: 1 - id: 387087 lmfdb_iso: 9240.bi p: 73 prec: 20 unit: 103511406832956498644341985973009208 val: 1 - id: 387085 lmfdb_iso: 9240.bi p: 83 prec: 20 unit: 1566281058649179400928237948003731175 val: 1 - id: 387088 lmfdb_iso: 9240.bi p: 89 prec: 20 unit: 10761917051229712688246742089988298120 val: 1 - id: 387076 lmfdb_iso: 9240.bi p: 97 prec: 20 unit: 42351290744760271474360341792136702583 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 9240.bi3 - 9240.bi - 9240.bi3 - 9240.bi3 - 9240.bi3 - 9240.bi3 - 9240.bi3 - 9240.bi tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-25T11:52:43.826166'