data: - - Ciso: 51520h Clabel: 51520h1 Cnumber: 1 abc_quality: 0.8556046575596292 absD: 18032000000 adelic_genus: 0 adelic_index: 2 adelic_level: 46 ainvs: - 0 - 1 - 0 - 639 - -1561 analytic_rank: 2 bad_primes: - 2 - 5 - 7 - 23 class_deg: 1 class_size: 1 cm: 0 conductor: 51520 degree: 30720 elladic_images: [] faltings_height: __RealLiteral__: 0 data: '0.65701784558033654638994498445' prec: 103 faltings_index: 0 faltings_ratio: 1 id: 341930 iso_nlabel: 47 isogeny_degrees: - 1 jinv: - 28134973184 - 17609375 lmfdb_iso: 51520.bv lmfdb_label: 51520.bv1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - 160 - -275 min_quad_twist_disc: 8 modell_images: [] modm_images: - 46.2.0.a.1 nonmax_primes: [] nonmax_rad: 1 num_bad_primes: 4 num_int_pts: 6 optimality: 1 potential_good_reduction: false rank: 2 regulator: __RealLiteral__: 0 data: '3.6101878133404047981080370249' prec: 100 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '0.079395195113715455208918216568' prec: 107 szpiro_ratio: 2.8564548881897935 torsion: 1 torsion_primes: [] torsion_structure: [] - - anlist: - 0 - 1 - 0 - 1 - 0 - -1 - 0 - -1 - 0 - -2 - 0 - 2 - 0 - -3 - 0 - -1 - 0 - -6 - 0 - -6 - 0 aplist: - 0 - 1 - -1 - -1 - 2 - -3 - -6 - -6 - 1 - -5 - -7 - 4 - -3 - -10 - 7 - 4 - 4 - -12 - 4 - 3 - -11 - -14 - -14 - -10 - -14 class_deg: 1 class_size: 1 conductor: 51520 id: 220649 isogeny_matrix: - - 1 lmfdb_iso: 51520.bv trace_hash: 892390979811301304 - - area: __RealLiteral__: 0 data: '0.26873334026840240408895598119' prec: 103 conductor: 51520 gens: - - 61 - 875 - 2 - - 10 - 77 - 1 heights: - __RealLiteral__: 0 data: '1.5333608867356437924539790414' prec: 100 - __RealLiteral__: 0 data: '2.4430094941219508098750389505' prec: 100 id: 341930 lmfdb_label: 51520.bv1 ngens: 2 rank_bounds: - 2 - 2 real_period: __RealLiteral__: 0 data: '0.70660486256669124985567026284' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '10.203905054741361342187402301746800184' prec: 130 tamagawa_product: 4 torsion_generators: [] xcoord_integral_points: - 10 - 1234 - 3202 - - id: 341930 iwdata: '11': - 2 - 0 '13': - 2 - 0 '17': - 2 - 0 '19': - 2 - 0 '2': a '23': - 3 - 0 '29': - 2 - 0 '3': - 2 - 0 '31': - 2 - 0 '37': - 2 - 0 '41': - 2 - 0 '43': - 2 - 0 '47': - 2 - 0 '5': - 2 - 0 '7': - 2 - 0 iwp0: 0 lmfdb_label: 51520.bv1 - - degree: 3 field: - 1 - 0 - -1 - 1 id: 2496104 lmfdb_label: 51520.bv1 torsion: - 2 - degree: 6 field: - 1 - -3 - 5 - -5 - 5 - -3 - 1 id: 2496105 lmfdb_label: 51520.bv1 torsion: - 2 - 2 - degree: 8 field: - -15552 - 0 - -4768 - 0 - -432 - 0 - 0 - 0 - 1 id: 2496106 lmfdb_label: 51520.bv1 torsion: - 3 - degree: 12 field: - -80063 - 0 - 47120 - 0 - 19613 - 0 - 3140 - 0 - 266 - 0 - 22 - 0 - 1 id: 2496107 lmfdb_label: 51520.bv1 torsion: - 4 - - conductor: 51520 conductor_valuation: 6 discriminant_valuation: 10 id: 1232955 j_denominator_valuation: 0 kodaira_symbol: -1 lmfdb_label: 51520.bv1 prime: 2 reduction_type: 0 root_number: 1 tamagawa_number: 1 - conductor: 51520 conductor_valuation: 1 discriminant_valuation: 6 id: 1232956 j_denominator_valuation: 6 kodaira_symbol: 10 lmfdb_label: 51520.bv1 prime: 5 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 51520 conductor_valuation: 1 discriminant_valuation: 2 id: 1232957 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 51520.bv1 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 51520 conductor_valuation: 1 discriminant_valuation: 1 id: 1232958 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 51520.bv1 prime: 23 reduction_type: 1 root_number: -1 tamagawa_number: 1 - - adelic_gens: - - 5 - 2 - 5 - 3 - - 1 - 1 - 45 - 0 - - 1 - 2 - 0 - 1 - - 45 - 2 - 44 - 3 - - 1 - 0 - 2 - 1 adelic_image: 46.2.0.? conductor: 51520 id: 2006452 lmfdb_label: 51520.bv1 prime: 0 - - id: 2591804 lmfdb_iso: 51520.bv p: 11 prec: 20 unit: 33311580688892270423 val: 2 - id: 2591810 lmfdb_iso: 51520.bv p: 13 prec: 20 unit: 1290621530618089803388 val: 2 - id: 2591812 lmfdb_iso: 51520.bv p: 17 prec: 20 unit: 78869018517449294837868 val: 2 - id: 2591813 lmfdb_iso: 51520.bv p: 19 prec: 20 unit: 1022549304756766148303376 val: 2 - id: 2591809 lmfdb_iso: 51520.bv p: 29 prec: 20 unit: 3553132543663493106977363975 val: 2 - id: 2591821 lmfdb_iso: 51520.bv p: 31 prec: 20 unit: 16549010264652005086841319953 val: 2 - id: 2591805 lmfdb_iso: 51520.bv p: 37 prec: 20 unit: 170178092070422518782016525632 val: 2 - id: 2591807 lmfdb_iso: 51520.bv p: 41 prec: 20 unit: 1065633784383039418560201520201 val: 2 - id: 2591808 lmfdb_iso: 51520.bv p: 43 prec: 20 unit: 10212380543033083570951285941821 val: 2 - id: 2591819 lmfdb_iso: 51520.bv p: 47 prec: 20 unit: 55799566937979058311617154614128 val: 2 - id: 2591814 lmfdb_iso: 51520.bv p: 53 prec: 20 unit: 49577866326304985620264175770694 val: 2 - id: 2591815 lmfdb_iso: 51520.bv p: 59 prec: 20 unit: 2936177973943751558201062824593089 val: 2 - id: 2591820 lmfdb_iso: 51520.bv p: 61 prec: 20 unit: 1092275387989788149052009251167393 val: 2 - id: 2591803 lmfdb_iso: 51520.bv p: 67 prec: 20 unit: 48089418145147665802571044930658054 val: 2 - id: 2591806 lmfdb_iso: 51520.bv p: 71 prec: 20 unit: 58018871979880393862648933033170406 val: 2 - id: 2591816 lmfdb_iso: 51520.bv p: 73 prec: 20 unit: 134705329366842210676972315813615505 val: 2 - id: 2591811 lmfdb_iso: 51520.bv p: 79 prec: 20 unit: 486280392002476301541084212325191470 val: 2 - id: 2591817 lmfdb_iso: 51520.bv p: 83 prec: 20 unit: 618279351559093400700630770165386242 val: 2 - id: 2591818 lmfdb_iso: 51520.bv p: 89 prec: 20 unit: 7684489486694062136118751935686437875 val: 2 - id: 2591802 lmfdb_iso: 51520.bv p: 97 prec: 20 unit: 21248036428541157285584491016518350416 val: 2 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 51520.bv1 - 51520.bv - 51520.bv1 - 51520.bv1 - 51520.bv1 - 51520.bv1 - 51520.bv1 - 51520.bv tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-17T10:24:59.386114'