data: - - Ciso: 448b Clabel: 448b3 Cnumber: 3 abc_quality: 1.0465382471182303 absD: 917504 adelic_genus: 0 adelic_index: 48 adelic_level: 56 ainvs: - 0 - 0 - 0 - -1196 - -15920 analytic_rank: 1 bad_primes: - 2 - 7 class_deg: 4 class_size: 4 cm: 0 conductor: 448 degree: 128 elladic_images: - 8.24.0.60 faltings_height: __RealLiteral__: 0 data: '0.34454076348138516636207252373' prec: 103 faltings_index: 2 faltings_ratio: 4 id: 1935 iso_nlabel: 4 isogeny_degrees: - 1 - 2 - 4 jinv: - 1443468546 - 7 lmfdb_iso: 448.e lmfdb_label: 448.e1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 0 - 0 - 0 - -299 - 1990 min_quad_twist_disc: -8 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.12.0-4.c.1.2 - 8.24.0-8.p.1.3 - 56.48.0-56.bp.1.1 nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 2 num_int_pts: 3 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '4.2764343071889022423702614513' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.63741774231187068864567298167' prec: 107 szpiro_ratio: 5.3849189619893 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 0 - 0 - -2 - 0 - 1 - 0 - -3 - 0 - -4 - 0 - -2 - 0 - 0 - 0 - -6 - 0 - 8 - 0 aplist: - 0 - 0 - -2 - 1 - -4 - -2 - -6 - 8 - 0 - -6 - -8 - 2 - 2 - -4 - 8 - -6 - 0 - 6 - -4 - 8 - 10 - -16 - 8 - -6 - -6 class_deg: 4 class_size: 4 conductor: 448 id: 841 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 448.e trace_hash: 823669738576213693 - - area: __RealLiteral__: 0 data: '0.50203696478935907640370311072' prec: 103 conductor: 448 gens: - - 124 - 1320 - 1 heights: - __RealLiteral__: 0 data: '4.2764343071889022423702614513' prec: 100 id: 1935 lmfdb_label: 448.e1 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.81183334631051366173246314861' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '1.7358759869411248186869537580981290600' prec: 130 tamagawa_product: 2 torsion_generators: - - -20 - 0 - 1 xcoord_integral_points: - -20 - 124 - - id: 1935 iwdata: '11': - 1 - 0 '13': - 3 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': a '23': - 1 - 1 - 0 '29': - 1 - 0 '3': - 3 - 1 - 0 '31': - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 0 '5': - 1 - 0 '7': - 2 - 0 iwp0: 0 lmfdb_label: 448.e1 - - degree: 2 field: - -14 - 0 - 1 id: 19758 lmfdb_label: 448.e1 torsion: - 2 - 2 - degree: 2 field: - 1 - 0 - 1 id: 19760 lmfdb_label: 448.e1 torsion: - 4 - degree: 2 field: - 14 - 0 - 1 id: 19759 lmfdb_label: 448.e1 torsion: - 4 - degree: 4 field: - -14 - 0 - 0 - 0 - 1 id: 19762 lmfdb_label: 448.e1 torsion: - 2 - 4 - degree: 4 field: - 49 - 0 - 0 - 0 - 1 id: 19761 lmfdb_label: 448.e1 torsion: - 2 - 4 - degree: 8 field: - -3 - 0 - -6 - 0 - -6 - 0 - 0 - 0 - 1 id: 19766 lmfdb_label: 448.e1 torsion: - 6 - degree: 8 field: - 4 - 16 - 6 - -24 - 18 - -8 - 3 - -2 - 1 id: 19764 lmfdb_label: 448.e1 torsion: - 8 - degree: 8 field: - 49 - 0 - 28 - 0 - 8 - 0 - -4 - 0 - 1 id: 19765 lmfdb_label: 448.e1 torsion: - 8 - degree: 8 field: - 169 - 0 - 172 - 0 - -22 - 0 - 4 - 0 - 1 id: 19763 lmfdb_label: 448.e1 torsion: - 4 - 4 - degree: 16 field: - 16 - 0 - -32 - 0 - 32 - 0 - -88 - 0 - 161 - 0 - -44 - 0 - 8 - 0 - -4 - 0 - 1 id: 19767 lmfdb_label: 448.e1 torsion: - 2 - 8 - degree: 16 field: - 16 - 0 - 0 - 0 - -143 - 0 - 0 - 0 - 339 - 0 - 0 - 0 - -13 - 0 - 0 - 0 - 1 id: 19768 lmfdb_label: 448.e1 torsion: - 2 - 8 - degree: 16 field: - 144 - 0 - 0 - 0 - 1008 - 0 - 0 - 0 - 120 - 0 - 0 - 0 - 24 - 0 - 0 - 0 - 1 id: 19772 lmfdb_label: 448.e1 torsion: - 12 - degree: 16 field: - 196 - 0 - -616 - 0 - 988 - 0 - -712 - 0 - -416 - 0 - 92 - 0 - 16 - 0 - -10 - 0 - 1 id: 19770 lmfdb_label: 448.e1 torsion: - 2 - 6 - degree: 16 field: - 196 - 0 - 0 - 0 - -1568 - 0 - 0 - 0 - -420 - 0 - 0 - 0 - -112 - 0 - 0 - 0 - 1 id: 19769 lmfdb_label: 448.e1 torsion: - 2 - 8 - degree: 16 field: - 322 - -2408 - 9132 - -13192 - 13418 - -3348 - -2468 - 3100 - -1164 - -80 - 82 - 108 - -64 - -16 - 24 - -8 - 1 id: 19771 lmfdb_label: 448.e1 torsion: - 12 - - conductor: 448 conductor_valuation: 6 discriminant_valuation: 17 id: 4764 j_denominator_valuation: 0 kodaira_symbol: -11 lmfdb_label: 448.e1 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 448 conductor_valuation: 1 discriminant_valuation: 1 id: 4765 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 448.e1 prime: 7 reduction_type: 1 root_number: -1 tamagawa_number: 1 - - adelic_gens: - - 49 - 8 - 48 - 9 - - 24 - 3 - 29 - 2 - - 1 - 0 - 8 - 1 - - 48 - 13 - 45 - 16 - - 1 - 4 - 4 - 17 - - 7 - 6 - 50 - 51 - - 32 - 55 - 29 - 42 - - 1 - 8 - 0 - 1 adelic_image: 56.48.0.? conductor: 448 id: 1667763 lmfdb_label: 448.e1 prime: 0 - conductor: 448 elladic_image: 8.24.0.60 id: 1955 lmfdb_label: 448.e1 modell_image: 2B prime: 2 - - id: 6478 lmfdb_iso: 448.e p: 5 prec: 20 unit: 3939248071437 val: 1 - id: 6477 lmfdb_iso: 448.e p: 11 prec: 20 unit: 11519404534210648913 val: 1 - id: 6484 lmfdb_iso: 448.e p: 13 prec: 20 unit: 365542586286747368 val: 2 - id: 6486 lmfdb_iso: 448.e p: 17 prec: 20 unit: 168563034468757130639783 val: 1 - id: 6487 lmfdb_iso: 448.e p: 19 prec: 20 unit: 416687839586044907793264 val: 1 - id: 6483 lmfdb_iso: 448.e p: 29 prec: 20 unit: 2334525100792377250577648914 val: 1 - id: 6480 lmfdb_iso: 448.e p: 31 prec: 20 unit: 8628857519371855149483063307 val: 1 - id: 6494 lmfdb_iso: 448.e p: 37 prec: 20 unit: 572837885068115837556818355955 val: 1 - id: 6481 lmfdb_iso: 448.e p: 41 prec: 20 unit: 616637057558985056696426256558 val: 1 - id: 6482 lmfdb_iso: 448.e p: 43 prec: 20 unit: 7378368516595481848709355449452 val: 1 - id: 6485 lmfdb_iso: 448.e p: 47 prec: 20 unit: 9865327354091872377620303707323 val: 1 - id: 6488 lmfdb_iso: 448.e p: 53 prec: 20 unit: 388741426325728983392299547761374 val: 1 - id: 6493 lmfdb_iso: 448.e p: 61 prec: 20 unit: 6352285742564239659485056642618488 val: 1 - id: 6476 lmfdb_iso: 448.e p: 67 prec: 20 unit: 2836162561630575471828131497005109 val: 1 - id: 6479 lmfdb_iso: 448.e p: 71 prec: 20 unit: 62527083443691607759237056129787032 val: 1 - id: 6489 lmfdb_iso: 448.e p: 73 prec: 20 unit: 186878963408208825531874772054464258 val: 1 - id: 6492 lmfdb_iso: 448.e p: 79 prec: 20 unit: 982570524121878337435774619093099832 val: 1 - id: 6490 lmfdb_iso: 448.e p: 83 prec: 20 unit: 1078742382337335011397340721762669611 val: 1 - id: 6491 lmfdb_iso: 448.e p: 89 prec: 20 unit: 10837656028004276466243448156450853250 val: 1 - id: 6475 lmfdb_iso: 448.e p: 97 prec: 20 unit: 39166778048282752111881749239156730603 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 448.e1 - 448.e - 448.e1 - 448.e1 - 448.e1 - 448.e1 - 448.e1 - 448.e tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-03-29T11:28:20.356721'