data: - - Ciso: 2280b Clabel: 2280b4 Cnumber: 4 abc_quality: 0.9817974827475339 absD: 1459200 adelic_genus: 0 adelic_index: 48 adelic_level: 456 ainvs: - 0 - -1 - 0 - -30400 - 2050300 analytic_rank: 1 bad_primes: - 2 - 3 - 5 - 19 class_deg: 4 class_size: 4 cm: 0 conductor: 2280 degree: 2048 elladic_images: - 8.12.0.6 faltings_height: __RealLiteral__: 0 data: '0.95645126778008812672760591502' prec: 103 faltings_index: 2 faltings_ratio: 4 id: 13011 iso_nlabel: 0 isogeny_degrees: - 1 - 2 - 4 jinv: - 3034301922374404 - 1425 lmfdb_iso: 2280.a lmfdb_label: 2280.a1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -30400 - 2050300 min_quad_twist_disc: 1 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.12.0-4.c.1.5 - 12.12.0-4.c.1.1 - 24.24.0-24.z.1.12 - 76.12.0.? - 114.6.0.? - 152.24.0.? - 228.24.0.? - 456.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 3 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '1.7332059465389305659147771075' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '0.37882861731346703554657914714' prec: 103 szpiro_ratio: 5.507062998972742 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - -1 - 0 - 1 - 0 - 0 - 0 - 1 - 0 - 0 - 0 - -2 - 0 - -1 - 0 - -6 - 0 - 1 - 0 aplist: - 0 - -1 - 1 - 0 - 0 - -2 - -6 - 1 - 4 - -6 - 0 - -2 - -2 - -4 - -4 - -6 - 12 - -2 - 4 - 0 - -6 - 8 - -8 - 14 - 2 class_deg: 4 class_size: 4 conductor: 2280 id: 6804 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 2280.a trace_hash: 1934615658225868539 - - area: __RealLiteral__: 0 data: '0.14765120117189499944969198185' prec: 103 conductor: 2280 gens: - - 105 - 70 - 1 heights: - __RealLiteral__: 0 data: '1.7332059465389305659147771075' prec: 100 id: 13011 lmfdb_label: 2280.a1 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '1.6334919832784097990408072525' prec: 100 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '2.8311780190418111960876772435820041025' prec: 130 tamagawa_product: 4 torsion_generators: - - 101 - 0 - 1 xcoord_integral_points: - 101 - 105 - - id: 13011 iwdata: '11': - 1 - 1 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 4 - 0 '2': a '23': - 1 - 0 '29': - 1 - 0 '3': - 3 - 0 '31': - 1 - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 0 '5': - 4 - 0 '7': - 1 - 1 - 0 iwp0: 0 lmfdb_label: 2280.a1 - - degree: 2 field: - -19 - 0 - 1 id: 115381 lmfdb_label: 2280.a1 torsion: - 4 - degree: 2 field: - -14 - -1 - 1 id: 115380 lmfdb_label: 2280.a1 torsion: - 2 - 2 - degree: 2 field: - -3 - 0 - 1 id: 115382 lmfdb_label: 2280.a1 torsion: - 4 - degree: 4 field: - -19 - -38 - -19 - 0 - 1 id: 115384 lmfdb_label: 2280.a1 torsion: - 8 - degree: 4 field: - 16 - 0 - -11 - 0 - 1 id: 115383 lmfdb_label: 2280.a1 torsion: - 2 - 4 - degree: 8 field: - -3 - 0 - -1208 - 0 - -6 - 0 - 0 - 0 - 1 id: 115388 lmfdb_label: 2280.a1 torsion: - 6 - degree: 8 field: - 1 - 0 - -15 - 0 - 44 - 0 - -15 - 0 - 1 id: 115387 lmfdb_label: 2280.a1 torsion: - 2 - 8 - degree: 8 field: - 2030625 - 0 - 0 - 0 - 2775 - 0 - 0 - 0 - 1 id: 115386 lmfdb_label: 2280.a1 torsion: - 8 - degree: 8 field: - 32490000 - 0 - 0 - 0 - 5700 - 0 - 0 - 0 - 1 id: 115385 lmfdb_label: 2280.a1 torsion: - 2 - 4 - degree: 16 field: - 5776 - 23104 - 0 - -49248 - 10944 - -17328 - -5504 - 16288 - 18504 - -1632 - -7848 - 96 - -28 - -28 - 24 - -8 - 1 id: 115394 lmfdb_label: 2280.a1 torsion: - 12 - degree: 16 field: - 32955544 - 147892664 - 237486504 - 218366248 - 131278160 - 52456272 - 16989954 - 4366074 - 765381 - 78986 - 11680 - 306 - -126 - 246 - 6 - -4 - 1 id: 115392 lmfdb_label: 2280.a1 torsion: - 2 - 6 - degree: 16 field: - 63011844 - 0 - -49056840 - 0 - 6487452 - 0 - 1882440 - 0 - -199920 - 0 - -44360 - 0 - -1932 - 0 - 0 - 0 - 1 id: 115393 lmfdb_label: 2280.a1 torsion: - 12 - degree: 16 field: - 456890625 - 0 - -367949250 - 0 - 125411400 - 0 - -23977620 - 0 - 2503611 - 0 - -68172 - 0 - -6688 - 0 - -38 - 0 - 1 id: 115391 lmfdb_label: 2280.a1 torsion: - 16 - degree: 16 field: - 8100000000 - 0 - 0 - 0 - -74250000 - 0 - 0 - 0 - 590625 - 0 - 0 - 0 - -825 - 0 - 0 - 0 - 1 id: 115390 lmfdb_label: 2280.a1 torsion: - 2 - 8 - degree: 16 field: - 4117656698401 - 0 - 34788621896 - 0 - 11846766010 - 0 - 40726484 - 0 - 12027019 - 0 - 5684 - 0 - 5710 - 0 - -4 - 0 - 1 id: 115389 lmfdb_label: 2280.a1 torsion: - 4 - 4 - - conductor: 2280 conductor_valuation: 3 discriminant_valuation: 10 id: 38166 j_denominator_valuation: 0 kodaira_symbol: -3 lmfdb_label: 2280.a1 prime: 2 reduction_type: 0 root_number: 1 tamagawa_number: 2 - conductor: 2280 conductor_valuation: 1 discriminant_valuation: 1 id: 38167 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 2280.a1 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 2280 conductor_valuation: 1 discriminant_valuation: 2 id: 38168 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 2280.a1 prime: 5 reduction_type: 1 root_number: -1 tamagawa_number: 2 - conductor: 2280 conductor_valuation: 1 discriminant_valuation: 1 id: 38169 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 2280.a1 prime: 19 reduction_type: 1 root_number: -1 tamagawa_number: 1 - - adelic_gens: - - 7 - 6 - 450 - 451 - - 388 - 1 - 407 - 6 - - 1 - 0 - 8 - 1 - - 449 - 8 - 448 - 9 - - 403 - 402 - 298 - 67 - - 160 - 3 - 157 - 2 - - 1 - 8 - 0 - 1 - - 1 - 4 - 4 - 17 - - 179 - 172 - 218 - 405 adelic_image: 456.48.0.? conductor: 2280 id: 1678710 lmfdb_label: 2280.a1 prime: 0 - conductor: 2280 elladic_image: 8.12.0.6 id: 11151 lmfdb_label: 2280.a1 modell_image: 2B prime: 2 - - id: 68358 lmfdb_iso: 2280.a p: 13 prec: 20 unit: 973843321676900805365 val: 1 - id: 68360 lmfdb_iso: 2280.a p: 17 prec: 20 unit: 163171012365922346931389 val: 1 - id: 68365 lmfdb_iso: 2280.a p: 23 prec: 20 unit: 68638795474555754122917450 val: 1 - id: 68357 lmfdb_iso: 2280.a p: 29 prec: 20 unit: 3630176950987129571865474952 val: 1 - id: 68354 lmfdb_iso: 2280.a p: 37 prec: 20 unit: 499179524946070382017264199046 val: 1 - id: 68355 lmfdb_iso: 2280.a p: 41 prec: 20 unit: 1684186100461056448455985531667 val: 1 - id: 68356 lmfdb_iso: 2280.a p: 43 prec: 20 unit: 7925530072054369307608328165424 val: 1 - id: 68367 lmfdb_iso: 2280.a p: 47 prec: 20 unit: 11560805339260705867948262067379 val: 1 - id: 68362 lmfdb_iso: 2280.a p: 53 prec: 20 unit: 257039463468694539271018373676154 val: 1 - id: 68363 lmfdb_iso: 2280.a p: 59 prec: 20 unit: 2801279673838796894873481395051976 val: 1 - id: 68368 lmfdb_iso: 2280.a p: 61 prec: 20 unit: 1890559040456093153048856304374102 val: 1 - id: 68353 lmfdb_iso: 2280.a p: 67 prec: 20 unit: 25395601017449097312946903657345488 val: 1 - id: 68364 lmfdb_iso: 2280.a p: 73 prec: 20 unit: 226630858473681454994084928750471620 val: 1 - id: 68359 lmfdb_iso: 2280.a p: 79 prec: 20 unit: 3011042385686042052607141660308906 val: 2 - id: 68361 lmfdb_iso: 2280.a p: 83 prec: 20 unit: 2048253076095734967573015473963788900 val: 1 - id: 68366 lmfdb_iso: 2280.a p: 89 prec: 20 unit: 10158946951221770612989362032491027215 val: 1 - id: 68352 lmfdb_iso: 2280.a p: 97 prec: 20 unit: 30095945583622012652132489806837765052 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 2280.a1 - 2280.a - 2280.a1 - 2280.a1 - 2280.a1 - 2280.a1 - 2280.a1 - 2280.a tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-25T15:12:32.257321'