data: - - Ciso: 176176ba Clabel: 176176ba4 Cnumber: 4 abc_quality: 0.9711976019732098 absD: 32388259387387904 adelic_genus: 0 adelic_index: 48 adelic_level: 616 ainvs: - 0 - 0 - 0 - -19196771 - -32373553630 analytic_rank: 2 bad_primes: - 2 - 7 - 11 - 13 class_deg: 4 class_size: 4 cm: 0 conductor: 176176 degree: 4669440 elladic_images: - 4.12.0.8 faltings_height: __RealLiteral__: 0 data: '2.6543227351424128908883378138' prec: 100 faltings_index: 2 faltings_ratio: 4 id: 1135314 iso_nlabel: 40 isogeny_degrees: - 1 - 2 - 4 jinv: - 107818231938348177 - 4463459 lmfdb_iso: 176176.bo lmfdb_label: 176176.bo1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 1 - -1 - 1 - -9916 - -377564 min_quad_twist_disc: 44 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.12.0-4.c.1.2 - 44.24.0-44.h.1.1 - 56.24.0-56.z.1.5 - 616.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 1 optimality: 0 potential_good_reduction: false rank: 2 regulator: __RealLiteral__: 0 data: '37.310375436814005511899449408' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '0.76222791818328230944013390336' prec: 103 szpiro_ratio: 5.126511871055599 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 0 - 0 - -2 - 0 - -1 - 0 - -3 - 0 - 0 - 0 - 1 - 0 - 0 - 0 - 2 - 0 - -4 - 0 aplist: - 0 - 0 - -2 - -1 - 0 - 1 - 2 - -4 - 0 - -6 - 4 - 6 - -6 - 12 - -4 - -10 - 0 - -10 - -12 - 0 - -14 - 0 - -4 - -14 - -14 class_deg: 4 class_size: 4 conductor: 176176 id: 773093 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 176176.bo trace_hash: 1703845031474575321 - - area: __RealLiteral__: 0 data: '0.0049486252399186641121296719116' prec: 110 conductor: 176176 gens: - - -22766 - 910 - 3 - - 131231 - 13403754 - 5 heights: - __RealLiteral__: 0 data: '5.2585260381351806737481546654' prec: 100 - __RealLiteral__: 0 data: '8.2565075268897003257986651795' prec: 100 id: 1135314 lmfdb_label: 176176.bo1 ngens: 2 rank_bounds: - 2 - 2 real_period: __RealLiteral__: 0 data: '0.072126109971701843858886575454' prec: 107 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '10.764208967364520725189361107896928844' prec: 130 tamagawa_product: 16 torsion_generators: - - -2530 - 0 - 1 xcoord_integral_points: - -2530 - [] - - degree: 2 field: - -11 - 0 - 1 id: 7802571 lmfdb_label: 176176.bo1 torsion: - 2 - 2 - degree: 2 field: - 1 - 0 - 1 id: 7802573 lmfdb_label: 176176.bo1 torsion: - 4 - degree: 2 field: - 3 - -1 - 1 id: 7802572 lmfdb_label: 176176.bo1 torsion: - 4 - degree: 4 field: - -1859 - 0 - 0 - 0 - 1 id: 7802575 lmfdb_label: 176176.bo1 torsion: - 2 - 4 - degree: 4 field: - 9 - 0 - -5 - 0 - 1 id: 7802574 lmfdb_label: 176176.bo1 torsion: - 2 - 4 - degree: 8 field: - -1263603 - 0 - -99 - 0 - 3894 - 0 - 0 - 0 - 1 id: 7802579 lmfdb_label: 176176.bo1 torsion: - 6 - degree: 8 field: - 1 - 0 - 334 - 0 - 171 - 0 - 26 - 0 - 1 id: 7802578 lmfdb_label: 176176.bo1 torsion: - 8 - degree: 8 field: - 456976 - 0 - 0 - 0 - 6084 - 0 - 0 - 0 - 1 id: 7802577 lmfdb_label: 176176.bo1 torsion: - 8 - degree: 8 field: - 3452164 - 0 - 22312 - 0 - -3712 - 0 - 4 - 0 - 1 id: 7802576 lmfdb_label: 176176.bo1 torsion: - 4 - 4 - degree: 16 field: - 130321 - 0 - 0 - 0 - 51742 - 0 - 0 - 0 - 4443 - 0 - 0 - 0 - 122 - 0 - 0 - 0 - 1 id: 7802580 lmfdb_label: 176176.bo1 torsion: - 2 - 8 - degree: 16 field: - 73805281 - 0 - -93143380 - 0 - 61717744 - 0 - -14157121 - 0 - 781660 - 0 - 5357 - 0 - -803 - 0 - -22 - 0 - 1 id: 7802583 lmfdb_label: 176176.bo1 torsion: - 2 - 6 - degree: 16 field: - 528862009 - 0 - -273558103 - 0 - 56764396 - 0 - -5593015 - 0 - 176269 - 0 - 12611 - 0 - -1013 - 0 - 2 - 0 - 1 id: 7802585 lmfdb_label: 176176.bo1 torsion: - 12 - degree: 16 field: - 731215681 - 0 - 528955812 - 0 - -68951634 - 0 - 7739580 - 0 - 2422347 - 0 - 6140 - 0 - -3014 - 0 - 8 - 0 - 1 id: 7802581 lmfdb_label: 176176.bo1 torsion: - 2 - 8 - degree: 16 field: - 5537761773 - 1115219418 - -1012165086 - -203165274 - 94188087 - 8947548 - -3026430 - -117744 - 215314 - -111122 - 9790 - 6304 - -626 - -224 - 52 - -8 - 1 id: 7802584 lmfdb_label: 176176.bo1 torsion: - 12 - degree: 16 field: - 50597553721 - 0 - 0 - 0 - -3345292808 - 0 - 0 - 0 - -12074205 - 0 - 0 - 0 - -14872 - 0 - 0 - 0 - 1 id: 7802582 lmfdb_label: 176176.bo1 torsion: - 2 - 8 - - conductor: 176176 conductor_valuation: 4 discriminant_valuation: 12 id: 4356255 j_denominator_valuation: 0 kodaira_symbol: -8 lmfdb_label: 176176.bo1 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 176176 conductor_valuation: 1 discriminant_valuation: 4 id: 4356256 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 176176.bo1 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 176176 conductor_valuation: 2 discriminant_valuation: 7 id: 4356257 j_denominator_valuation: 1 kodaira_symbol: -5 lmfdb_label: 176176.bo1 prime: 11 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 176176 conductor_valuation: 1 discriminant_valuation: 2 id: 4356258 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 176176.bo1 prime: 13 reduction_type: 1 root_number: -1 tamagawa_number: 2 - - adelic_gens: - - 384 - 69 - 381 - 352 - - 609 - 8 - 608 - 9 - - 353 - 8 - 180 - 33 - - 388 - 615 - 537 - 610 - - 1 - 0 - 8 - 1 - - 235 - 234 - 90 - 395 - - 7 - 6 - 610 - 611 - - 1 - 8 - 0 - 1 - - 1 - 4 - 4 - 17 adelic_image: 616.48.0.? conductor: 176176 id: 2798202 lmfdb_label: 176176.bo1 prime: 0 - conductor: 176176 elladic_image: 4.12.0.8 id: 662067 lmfdb_label: 176176.bo1 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 176176.bo1 - 176176.bo - 176176.bo1 - 176176.bo1 - 176176.bo1 - 176176.bo1 - 176176.bo1 - 176176.bo tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-12T09:38:45.636672'