data: - - Ciso: 9240b Clabel: 9240b1 Cnumber: 1 abc_quality: 1.0082037341923265 absD: 129932222666400000 adelic_genus: 0 adelic_index: 48 adelic_level: 3080 ainvs: - 0 - -1 - 0 - -3938956 - 3010246900 analytic_rank: 0 bad_primes: - 2 - 3 - 5 - 7 - 11 class_deg: 4 class_size: 4 cm: 0 conductor: 9240 degree: 245760 elladic_images: - 8.12.0.12 faltings_height: __RealLiteral__: 0 data: '2.4067935452462695818622312545' prec: 100 faltings_index: 0 faltings_ratio: 1 id: 59509 iso_nlabel: 2 isogeny_degrees: - 1 - 2 - 4 jinv: - 26401417552259125806544 - 507547744790625 lmfdb_iso: 9240.c lmfdb_label: 9240.c3 lmfdb_number: 3 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -3938956 - 3010246900 min_quad_twist_disc: 1 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.12.0-4.c.1.2 - 20.12.0-4.c.1.2 - 40.24.0-40.y.1.9 - 308.12.0.? - 616.24.0.? - 770.6.0.? - 1540.24.0.? - 3080.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 5 num_int_pts: 1 optimality: 1 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '1.9446954248729727089174098402' prec: 100 szpiro_ratio: 6.261200470251847 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - -1 - 0 - -1 - 0 - 1 - 0 - 1 - 0 - -1 - 0 - 2 - 0 - 1 - 0 - -6 - 0 - -4 - 0 aplist: - 0 - -1 - -1 - 1 - -1 - 2 - -6 - -4 - -8 - -6 - 4 - 2 - -6 - 12 - 0 - 2 - 4 - -2 - -8 - -8 - 2 - 12 - -8 - 18 - -10 class_deg: 4 class_size: 4 conductor: 9240 id: 34841 isogeny_matrix: - - 1 - 2 - 4 - 4 - - 2 - 1 - 2 - 2 - - 4 - 2 - 1 - 4 - - 4 - 2 - 4 - 1 lmfdb_iso: 9240.c trace_hash: 1886508145548881703 - - area: __RealLiteral__: 0 data: '0.0081186849451457660795466353536' prec: 110 conductor: 9240 gens: [] heights: [] id: 59509 lmfdb_label: 9240.c3 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.30303369105823499127042738877' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '0.90910107317470497381128216630458177586' prec: 133 tamagawa_product: 12 torsion_generators: - - 1150 - 0 - 1 xcoord_integral_points: - 1150 - - id: 59509 iwdata: '11': - 0 - 0 '2': a '3': - 4 - 0 '5': - 0 - 0 '7': - 1 - 0 iwp0: 5 lmfdb_label: 9240.c3 - - degree: 2 field: - -96 - -1 - 1 id: 479597 lmfdb_label: 9240.c3 torsion: - 2 - 2 - degree: 2 field: - -19 - -1 - 1 id: 479598 lmfdb_label: 9240.c3 torsion: - 4 - degree: 2 field: - -1 - -1 - 1 id: 479599 lmfdb_label: 9240.c3 torsion: - 4 - degree: 4 field: - 324 - 0 - -41 - 0 - 1 id: 479600 lmfdb_label: 9240.c3 torsion: - 2 - 4 - degree: 8 field: - -3468 - 0 - -404 - 0 - -204 - 0 - 0 - 0 - 1 id: 479604 lmfdb_label: 9240.c3 torsion: - 6 - degree: 8 field: - 3364 - 0 - -20136 - 0 - 6200 - 0 - -156 - 0 - 1 id: 479602 lmfdb_label: 9240.c3 torsion: - 8 - degree: 8 field: - 7921 - 0 - 2528 - 0 - 434 - 0 - 32 - 0 - 1 id: 479603 lmfdb_label: 9240.c3 torsion: - 8 - degree: 8 field: - 2611456 - 0 - 39252 - 0 - 10324 - 0 - 213 - 0 - 1 id: 479601 lmfdb_label: 9240.c3 torsion: - 2 - 4 - degree: 16 field: - -9770137550410 - -7224271483520 - 2887241408586 - 1237319191750 - 173579473010 - -17729780262 - -4663749542 - -288654046 - 49688835 - 2360890 - -468748 - -32898 - 4922 - 70 - -60 - -4 - 1 id: 479608 lmfdb_label: 9240.c3 torsion: - 2 - 6 - degree: 16 field: - 131769 - 0 - -229416 - 0 - -732050 - 0 - -5808 - 0 - 3495 - 0 - -448 - 0 - -138 - 0 - 0 - 0 - 1 id: 479610 lmfdb_label: 9240.c3 torsion: - 12 - degree: 16 field: - 3400336 - 0 - 14230896 - 0 - 15073452 - 0 - 1107468 - 0 - -194375 - 0 - 4152 - 0 - 522 - 0 - -36 - 0 - 1 id: 479607 lmfdb_label: 9240.c3 torsion: - 2 - 8 - degree: 16 field: - 86136961 - 0 - -406681872 - 0 - 528638224 - 0 - -180355248 - 0 - 20753214 - 0 - -981648 - 0 - 22192 - 0 - -240 - 0 - 1 id: 479606 lmfdb_label: 9240.c3 torsion: - 2 - 8 - degree: 16 field: - 20778628403 - -9193930298 - -6806425938 - -170902860 - 372159654 - 129572172 - 14107642 - -8050030 - -1682331 - 154070 - 39760 - 366 - 764 - 70 - -60 - -4 - 1 id: 479609 lmfdb_label: 9240.c3 torsion: - 12 - degree: 16 field: - 66296465361 - 66691183734 - 33544126098 - 12842677344 - 4061488837 - 1078594300 - 273933422 - 58441362 - 8900180 - 1496062 - 314862 - 20180 - -5723 - -816 - 18 - -6 - 1 id: 479605 lmfdb_label: 9240.c3 torsion: - 4 - 4 - - conductor: 9240 conductor_valuation: 3 discriminant_valuation: 8 id: 193446 j_denominator_valuation: 0 kodaira_symbol: -5 lmfdb_label: 9240.c3 prime: 2 reduction_type: 0 root_number: 1 tamagawa_number: 2 - conductor: 9240 conductor_valuation: 1 discriminant_valuation: 16 id: 193447 j_denominator_valuation: 16 kodaira_symbol: 20 lmfdb_label: 9240.c3 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 9240 conductor_valuation: 1 discriminant_valuation: 5 id: 193448 j_denominator_valuation: 5 kodaira_symbol: 9 lmfdb_label: 9240.c3 prime: 5 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 9240 conductor_valuation: 1 discriminant_valuation: 3 id: 193449 j_denominator_valuation: 3 kodaira_symbol: 7 lmfdb_label: 9240.c3 prime: 7 reduction_type: 1 root_number: -1 tamagawa_number: 3 - conductor: 9240 conductor_valuation: 1 discriminant_valuation: 1 id: 193450 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 9240.c3 prime: 11 reduction_type: -1 root_number: 1 tamagawa_number: 1 - - adelic_gens: - - 1 - 0 - 8 - 1 - - 1 - 8 - 0 - 1 - - 393 - 388 - 390 - 1927 - - 1 - 4 - 4 - 17 - - 2208 - 3 - 1765 - 2 - - 1163 - 1158 - 1930 - 387 - - 2468 - 1 - 1871 - 6 - - 3073 - 8 - 3072 - 9 - - 7 - 6 - 3074 - 3075 - - 1688 - 3 - 285 - 2 adelic_image: 3080.48.0.? conductor: 9240 id: 1724996 lmfdb_label: 9240.c3 prime: 0 - conductor: 9240 elladic_image: 8.12.0.12 id: 44812 lmfdb_label: 9240.c3 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 9240.c3 - 9240.c - 9240.c3 - 9240.c3 - 9240.c3 - 9240.c3 - 9240.c3 - 9240.c tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-06T10:47:51.086307'