data: - - Ciso: 672f Clabel: 672f4 Cnumber: 4 abc_quality: 0.9710857330134317 absD: 3687936 adelic_genus: 0 adelic_index: 48 adelic_level: 168 ainvs: - 0 - 1 - 0 - 16 - -84 analytic_rank: 1 bad_primes: - 2 - 3 - 7 class_deg: 4 class_size: 4 cm: 0 conductor: 672 degree: 128 elladic_images: - 4.12.0.8 faltings_height: __RealLiteral__: 0 data: '-0.058633227986711720054648936230' prec: 110 faltings_index: 1 faltings_ratio: 2 id: 3161 iso_nlabel: 5 isogeny_degrees: - 1 - 2 - 4 jinv: - 830584 - 7203 lmfdb_iso: 672.f lmfdb_label: 672.f4 lmfdb_number: 4 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - 16 - 84 min_quad_twist_disc: -4 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.12.0-4.c.1.2 - 24.24.0-24.v.1.1 - 56.24.0-56.ba.1.12 - 168.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 3 num_int_pts: 1 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '3.5829836437309415890102051981' prec: 100 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '-0.57849361340667070211757302732' prec: 107 szpiro_ratio: 3.457041899317363 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 1 - 0 - -2 - 0 - -1 - 0 - 1 - 0 - -4 - 0 - -6 - 0 - -2 - 0 - -2 - 0 - 4 - 0 aplist: - 0 - 1 - -2 - -1 - -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: 672 id: 1439 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 672.f trace_hash: 772252924710736021 - - area: __RealLiteral__: 0 data: '1.1244189979365211138236954722' prec: 100 conductor: 672 gens: - - 21 - 105 - 2 heights: - __RealLiteral__: 0 data: '3.5829836437309415890102051981' prec: 100 id: 3161 lmfdb_label: 672.f4 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '1.2336055843599265349339835367' prec: 100 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '2.2099943157883835126970192677470994973' prec: 130 tamagawa_product: 2 torsion_generators: - - 3 - 0 - 1 xcoord_integral_points: - 3 - - id: 3161 iwdata: '11': - 1 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': a '23': - 1 - 0 '29': - 1 - 0 '3': - 2 - 0 '31': - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 3 - 0 '5': - 1 - 0 '7': - 1 - 0 iwp0: 0 lmfdb_label: 672.f4 - - degree: 2 field: - -6 - 0 - 1 id: 31106 lmfdb_label: 672.f4 torsion: - 4 - degree: 2 field: - 1 - 0 - 1 id: 31107 lmfdb_label: 672.f4 torsion: - 4 - degree: 2 field: - 6 - 0 - 1 id: 31105 lmfdb_label: 672.f4 torsion: - 2 - 2 - degree: 4 field: - 6 - 0 - 0 - 0 - 1 id: 31108 lmfdb_label: 672.f4 torsion: - 2 - 4 - degree: 4 field: - 9 - 0 - 0 - 0 - 1 id: 31109 lmfdb_label: 672.f4 torsion: - 2 - 4 - degree: 8 field: - -3 - 0 - 104 - 0 - -6 - 0 - 0 - 0 - 1 id: 31113 lmfdb_label: 672.f4 torsion: - 6 - degree: 8 field: - 49 - 0 - -68 - 0 - 18 - 0 - 4 - 0 - 1 id: 31110 lmfdb_label: 672.f4 torsion: - 4 - 4 - degree: 8 field: - 49 - 0 - 56 - 0 - 2 - 0 - 8 - 0 - 1 id: 31112 lmfdb_label: 672.f4 torsion: - 8 - degree: 8 field: - 81 - 0 - 0 - 0 - -24 - 0 - 0 - 0 - 1 id: 31111 lmfdb_label: 672.f4 torsion: - 8 - degree: 16 field: - 36 - -144 - 288 - -240 - -48 - 456 - -640 - 496 - -68 - -264 - 328 - -256 - 164 - -84 - 32 - -8 - 1 id: 31119 lmfdb_label: 672.f4 torsion: - 12 - degree: 16 field: - 58 - 504 - 1188 - -2648 - 3318 - -4792 - 6488 - -6884 - 5763 - -4060 - 2424 - -1204 - 494 - -164 - 44 - -8 - 1 id: 31116 lmfdb_label: 672.f4 torsion: - 2 - 8 - degree: 16 field: - 1296 - 0 - 0 - 0 - 4320 - 0 - 5760 - 0 - 1464 - 0 - -960 - 0 - 120 - 0 - 0 - 0 - 1 id: 31114 lmfdb_label: 672.f4 torsion: - 2 - 8 - degree: 16 field: - 3364 - 0 - 21200 - 0 - 11752 - 0 - -832 - 0 - 1624 - 0 - 152 - 0 - -20 - 0 - 8 - 0 - 1 id: 31115 lmfdb_label: 672.f4 torsion: - 2 - 8 - degree: 16 field: - 10449 - 34992 - 23004 - -4536 - -702 - -11772 - -11232 - 4032 - -3276 - 1296 - -492 - 504 - 18 - -36 - -12 - 0 - 1 id: 31118 lmfdb_label: 672.f4 torsion: - 12 - degree: 16 field: - 23814 - 0 - -15876 - 36288 - -3024 - -10584 - 19332 - -6336 - 2124 - 1404 - -300 - 144 - 126 - -36 - 12 - 0 - 1 id: 31117 lmfdb_label: 672.f4 torsion: - 2 - 6 - - conductor: 672 conductor_valuation: 5 discriminant_valuation: 9 id: 8245 j_denominator_valuation: 0 kodaira_symbol: -1 lmfdb_label: 672.f4 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 1 - conductor: 672 conductor_valuation: 1 discriminant_valuation: 1 id: 8246 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 672.f4 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 1 - conductor: 672 conductor_valuation: 1 discriminant_valuation: 4 id: 8247 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 672.f4 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 2 - - adelic_gens: - - 1 - 0 - 8 - 1 - - 1 - 8 - 0 - 1 - - 64 - 3 - 61 - 2 - - 7 - 6 - 162 - 163 - - 64 - 155 - 25 - 54 - - 161 - 8 - 160 - 9 - - 55 - 60 - 58 - 145 - - 73 - 8 - 124 - 33 - - 1 - 4 - 4 - 17 adelic_image: 168.48.0.? conductor: 672 id: 1668965 lmfdb_label: 672.f4 prime: 0 - conductor: 672 elladic_image: 4.12.0.8 id: 3059 lmfdb_label: 672.f4 modell_image: 2B prime: 2 - - id: 12292 lmfdb_iso: 672.f p: 5 prec: 20 unit: 18533787149331 val: 1 - id: 12299 lmfdb_iso: 672.f p: 11 prec: 20 unit: 54478706042324169281 val: 1 - id: 12297 lmfdb_iso: 672.f p: 13 prec: 20 unit: 268406341907490123640 val: 1 - id: 12300 lmfdb_iso: 672.f p: 17 prec: 20 unit: 65697884186424241659342 val: 1 - id: 12301 lmfdb_iso: 672.f p: 19 prec: 20 unit: 794106992236792451672387 val: 1 - id: 12304 lmfdb_iso: 672.f p: 23 prec: 20 unit: 41758343706617461217304737 val: 1 - id: 12298 lmfdb_iso: 672.f p: 29 prec: 20 unit: 3965291752958759478610876149 val: 1 - id: 12294 lmfdb_iso: 672.f p: 31 prec: 20 unit: 8376188261341271808211425876 val: 1 - id: 12308 lmfdb_iso: 672.f p: 37 prec: 20 unit: 443294982391459196324114315936 val: 1 - id: 12295 lmfdb_iso: 672.f p: 41 prec: 20 unit: 1706132802937806073241578723849 val: 1 - id: 12296 lmfdb_iso: 672.f p: 43 prec: 20 unit: 8585526288966873311275422669249 val: 1 - id: 12302 lmfdb_iso: 672.f p: 53 prec: 20 unit: 399138596427344291076831560908314 val: 1 - id: 12306 lmfdb_iso: 672.f p: 59 prec: 20 unit: 3885652926168877044958447577371524 val: 1 - id: 12307 lmfdb_iso: 672.f p: 61 prec: 20 unit: 6315506160164323880288280823645085 val: 1 - id: 12291 lmfdb_iso: 672.f p: 67 prec: 20 unit: 19363873330130602859800267691098547 val: 1 - id: 12293 lmfdb_iso: 672.f p: 71 prec: 20 unit: 61198660380416477531131795872771465 val: 1 - id: 12303 lmfdb_iso: 672.f p: 73 prec: 20 unit: 60896983993927221371257311651492418 val: 1 - id: 12290 lmfdb_iso: 672.f p: 83 prec: 20 unit: 2890907441537512452599808910754601395 val: 1 - id: 12305 lmfdb_iso: 672.f p: 89 prec: 20 unit: 6078300011402461196538275997884559793 val: 1 - id: 12289 lmfdb_iso: 672.f p: 97 prec: 20 unit: 12813575785742669376819045575640312995 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 672.f4 - 672.f - 672.f4 - 672.f4 - 672.f4 - 672.f4 - 672.f4 - 672.f tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-23T21:20:05.316752'