data: - - Ciso: 377520dy Clabel: 377520dy3 Cnumber: 3 abc_quality: 1.0133087662608755 absD: 62321937913144166400 adelic_genus: 0 adelic_index: 48 adelic_level: 3432 ainvs: - 0 - 1 - 0 - -3104963616 - 66592625380884 analytic_rank: 1 bad_primes: - 2 - 3 - 5 - 11 - 13 class_deg: 4 class_size: 4 cm: 0 conductor: 377520 degree: 165150720 elladic_images: - 8.12.0.8 faltings_height: __RealLiteral__: 0 data: '3.7862937703109815045008313510' prec: 100 faltings_index: 2 faltings_ratio: 4 id: 2350879 iso_nlabel: 102 isogeny_degrees: - 1 - 2 - 4 jinv: - 912446049969377120252018 - 17177299425 lmfdb_iso: 377520.dy lmfdb_label: 377520.dy1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -25660856 - 50041356300 min_quad_twist_disc: 44 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.12.0-4.c.1.4 - 132.12.0.? - 264.24.0.? - 312.24.0.? - 1144.24.0.? - 3432.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 5 num_int_pts: 5 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '2.9919933619782666645178107612' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '1.9519612183985130321707301173' prec: 100 szpiro_ratio: 6.010445418644201 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 1 - 0 - -1 - 0 - -4 - 0 - 1 - 0 - 0 - 0 - -1 - 0 - -1 - 0 - 2 - 0 - 4 - 0 aplist: - 0 - 1 - -1 - -4 - 0 - -1 - 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: 377520 id: 1644689 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 377520.dy trace_hash: 1774342894952822593 - - area: __RealLiteral__: 0 data: '0.00051435979834009542199667473265' prec: 113 conductor: 377520 gens: - - 32172 - 342 - 1 heights: - __RealLiteral__: 0 data: '2.9919933619782666645178107612' prec: 100 id: 2350879 lmfdb_label: 377520.dy1 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.10172825219747958645332707703' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '8.5223671484142783638433844459140569620' prec: 130 tamagawa_product: 112 torsion_generators: - - 32171 - 0 - 1 xcoord_integral_points: - 32171 - 32172 - 52620 - [] - - degree: 2 field: - -66 - 0 - 1 id: 15645255 lmfdb_label: 377520.dy1 torsion: - 2 - 2 - degree: 2 field: - -8 - -1 - 1 id: 15645257 lmfdb_label: 377520.dy1 torsion: - 4 - degree: 2 field: - -2 - 0 - 1 id: 15645256 lmfdb_label: 377520.dy1 torsion: - 4 - degree: 4 field: - 34 - 20 - -19 - -2 - 1 id: 15645258 lmfdb_label: 377520.dy1 torsion: - 2 - 4 - degree: 8 field: - -1263603 - 0 - -135784 - 0 - -3894 - 0 - 0 - 0 - 1 id: 15645262 lmfdb_label: 377520.dy1 torsion: - 6 - degree: 8 field: - 20736 - 0 - -4752 - 0 - 570 - 0 - -33 - 0 - 1 id: 15645261 lmfdb_label: 377520.dy1 torsion: - 8 - degree: 8 field: - 2709316 - 0 - 39632 - 0 - -3276 - 0 - 8 - 0 - 1 id: 15645259 lmfdb_label: 377520.dy1 torsion: - 2 - 4 - degree: 8 field: - 654080625 - 0 - -37933500 - 0 - 358600 - 0 - -1100 - 0 - 1 id: 15645260 lmfdb_label: 377520.dy1 torsion: - 8 - degree: 16 field: - 141514816 - 0 - 16201184 - 0 - -1637036 - 0 - -292468 - 0 - -13295 - 0 - -5794 - 0 - 838 - 0 - 2 - 0 - 1 id: 15645265 lmfdb_label: 377520.dy1 torsion: - 2 - 8 - degree: 16 field: - 7692167025 - 0 - 2844787068 - 0 - 424043100 - 0 - 29051716 - 0 - 577382 - 0 - -35900 - 0 - -1940 - 0 - -4 - 0 - 1 id: 15645267 lmfdb_label: 377520.dy1 torsion: - 12 - degree: 16 field: - 33101435844 - 0 - -23730841884 - 0 - 566097316 - 0 - 9551352 - 0 - -2672151 - 0 - -165056 - 0 - -7914 - 0 - 0 - 0 - 1 id: 15645268 lmfdb_label: 377520.dy1 torsion: - 12 - degree: 16 field: - 91506250000 - 0 - -695447500000 - 0 - 738039500000 - 0 - -100324125000 - 0 - 4482520625 - 0 - -77137500 - 0 - 552200 - 0 - -1540 - 0 - 1 id: 15645264 lmfdb_label: 377520.dy1 torsion: - 2 - 8 - degree: 16 field: - 463250390625 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 23141250 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 1 id: 15645263 lmfdb_label: 377520.dy1 torsion: - 4 - 4 - degree: 16 field: - 2509198562025 - 0 - 919566565596 - 0 - 52391712420 - 0 - -11215245852 - 0 - 180899982 - 0 - -265020 - 0 - -4860 - 0 - -132 - 0 - 1 id: 15645266 lmfdb_label: 377520.dy1 torsion: - 2 - 6 - - conductor: 377520 conductor_valuation: 4 discriminant_valuation: 11 id: 9340961 j_denominator_valuation: 0 kodaira_symbol: -7 lmfdb_label: 377520.dy1 prime: 2 reduction_type: 0 root_number: 1 tamagawa_number: 2 - conductor: 377520 conductor_valuation: 1 discriminant_valuation: 7 id: 9340962 j_denominator_valuation: 7 kodaira_symbol: 11 lmfdb_label: 377520.dy1 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 7 - conductor: 377520 conductor_valuation: 1 discriminant_valuation: 2 id: 9340963 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 377520.dy1 prime: 5 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 377520 conductor_valuation: 2 discriminant_valuation: 7 id: 9340964 j_denominator_valuation: 1 kodaira_symbol: -5 lmfdb_label: 377520.dy1 prime: 11 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 377520 conductor_valuation: 1 discriminant_valuation: 4 id: 9340965 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 377520.dy1 prime: 13 reduction_type: -1 root_number: 1 tamagawa_number: 2 - - adelic_gens: - - 7 - 6 - 3426 - 3427 - - 3425 - 8 - 3424 - 9 - - 1 - 0 - 8 - 1 - - 1 - 8 - 0 - 1 - - 1 - 4 - 4 - 17 - - 2641 - 8 - 268 - 33 - - 2141 - 2144 - 406 - 2139 - - 1148 - 1 - 2311 - 6 - - 2800 - 3429 - 2179 - 3430 - - 1288 - 3011 - 433 - 462 adelic_image: 3432.48.0.? conductor: 377520 id: 4011871 lmfdb_label: 377520.dy1 prime: 0 - conductor: 377520 elladic_image: 8.12.0.8 id: 1292773 lmfdb_label: 377520.dy1 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 377520.dy1 - 377520.dy - 377520.dy1 - 377520.dy1 - 377520.dy1 - 377520.dy1 - 377520.dy1 - 377520.dy tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-24T23:12:02.086444'