data: - - Ciso: 223080be Clabel: 223080be2 Cnumber: 2 abc_quality: 0.9856789904359551 absD: 302141046308971858560000 adelic_genus: 0 adelic_index: 48 adelic_level: 3432 ainvs: - 0 - -1 - 0 - -271051720 - 1717503883900 analytic_rank: 0 bad_primes: - 2 - 3 - 5 - 11 - 13 class_deg: 4 class_size: 4 cm: 0 conductor: 223080 degree: 57802752 elladic_images: - 4.12.0.1 faltings_height: __RealLiteral__: 0 data: '3.5232472223625919457879872220' prec: 100 faltings_index: 1 faltings_ratio: 2 id: 1425885 iso_nlabel: 53 isogeny_degrees: - 1 - 2 jinv: - 445574312599094932036 - 61129333175625 lmfdb_iso: 223080.cb lmfdb_label: 223080.cb3 lmfdb_number: 3 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -1603856 - 782243100 min_quad_twist_disc: 13 modell_images: - 2Cs modm_images: - 2.6.0.a.1 - 4.12.0-2.a.1.1 - 156.24.0.? - 264.24.0.? - 1144.24.0.? - 3432.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 5 num_int_pts: 3 optimality: 0 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 4 sha_primes: - 2 signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '1.6631498931652024865802167333' prec: 100 szpiro_ratio: 5.673198754243285 torsion: 4 torsion_primes: - 2 torsion_structure: - 2 - 2 - - anlist: - 0 - 1 - 0 - -1 - 0 - 1 - 0 - 4 - 0 - 1 - 0 - 1 - 0 - 0 - 0 - -1 - 0 - -2 - 0 - -4 - 0 aplist: - 0 - -1 - 1 - 4 - 1 - 0 - -2 - -4 - -4 - 6 - 0 - -10 - 10 - 4 - 0 - 10 - 12 - -2 - -8 - 8 - 2 - -16 - 12 - 10 - 14 class_deg: 4 class_size: 4 conductor: 223080 id: 979040 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 223080.cb trace_hash: 1917383407451551623 - - area: __RealLiteral__: 0 data: '0.00087045504334477686799437262448' prec: 113 conductor: 223080 gens: [] heights: [] id: 1425885 lmfdb_label: 223080.cb3 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.093576381901341435822655199337' prec: 107 sha_an: __RealLiteral__: 0 data: '4.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '2.9944442208429259463249663787972731146' prec: 130 tamagawa_product: 128 torsion_generators: - - 9421 - 0 - 1 - - 9590 - 0 - 1 xcoord_integral_points: - -19010 - 9421 - 9590 - [] - - degree: 2 field: - -286 - 0 - 1 id: 9703521 lmfdb_label: 223080.cb3 torsion: - 2 - 4 - degree: 4 field: - 100 - 0 - -19 - 0 - 1 id: 9703523 lmfdb_label: 223080.cb3 torsion: - 2 - 4 - degree: 4 field: - 5710 - 112 - -111 - -2 - 1 id: 9703522 lmfdb_label: 223080.cb3 torsion: - 2 - 4 - degree: 8 field: - -73983468 - 0 - 2781532 - 0 - -29796 - 0 - 0 - 0 - 1 id: 9703526 lmfdb_label: 223080.cb3 torsion: - 2 - 6 - degree: 8 field: - 1371250 - 122324 - -119546 - -5596 - 2899 - -124 - 46 - -4 - 1 id: 9703524 lmfdb_label: 223080.cb3 torsion: - 4 - 4 - degree: 8 field: - 1890625 - 0 - -102910500 - 0 - -129800 - 0 - -660 - 0 - 1 id: 9703525 lmfdb_label: 223080.cb3 torsion: - 2 - 8 - degree: 16 field: - 86953 - -179858 - 293772 - -229438 - 115490 - 8832 - -21086 - 19126 - -8829 - 2020 - 322 - -474 - 170 - -70 - 30 - -8 - 1 id: 9703528 lmfdb_label: 223080.cb3 torsion: - 2 - 8 - degree: 16 field: - 394649215008400 - 0 - -98378079483200 - 0 - 4750440930400 - 0 - -122696596176 - 0 - 1967904312 - 0 - -20781816 - 0 - 141196 - 0 - -572 - 0 - 1 id: 9703529 lmfdb_label: 223080.cb3 torsion: - 2 - 12 - degree: 16 field: - 1695339120854016 - 0 - 95742766817280 - 0 - 688571870976 - 0 - -22908061440 - 0 - 398336976 - 0 - 995040 - 0 - -19944 - 0 - 120 - 0 - 1 id: 9703527 lmfdb_label: 223080.cb3 torsion: - 2 - 8 - - conductor: 223080 conductor_valuation: 3 discriminant_valuation: 10 id: 5532646 j_denominator_valuation: 0 kodaira_symbol: -3 lmfdb_label: 223080.cb3 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 223080 conductor_valuation: 1 discriminant_valuation: 14 id: 5532647 j_denominator_valuation: 14 kodaira_symbol: 18 lmfdb_label: 223080.cb3 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 223080 conductor_valuation: 1 discriminant_valuation: 4 id: 5532648 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 223080.cb3 prime: 5 reduction_type: 1 root_number: -1 tamagawa_number: 4 - conductor: 223080 conductor_valuation: 1 discriminant_valuation: 2 id: 5532649 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 223080.cb3 prime: 11 reduction_type: 1 root_number: -1 tamagawa_number: 2 - conductor: 223080 conductor_valuation: 2 discriminant_valuation: 8 id: 5532650 j_denominator_valuation: 2 kodaira_symbol: -6 lmfdb_label: 223080.cb3 prime: 13 reduction_type: 0 root_number: 1 tamagawa_number: 4 - - adelic_gens: - - 1717 - 4 - 2 - 9 - - 2373 - 3430 - 1850 - 1 - - 1145 - 2 - 0 - 1 - - 861 - 4 - 1718 - 3 - - 1 - 4 - 0 - 1 - - 937 - 4 - 1874 - 9 - - 1 - 0 - 4 - 1 - - 3429 - 4 - 3428 - 5 adelic_image: 3432.48.0.? conductor: 223080 id: 3088238 lmfdb_label: 223080.cb3 prime: 0 - conductor: 223080 elladic_image: 4.12.0.1 id: 817176 lmfdb_label: 223080.cb3 modell_image: 2Cs prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 223080.cb3 - 223080.cb - 223080.cb3 - 223080.cb3 - 223080.cb3 - 223080.cb3 - 223080.cb3 - 223080.cb tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-19T22:43:55.002863'