data: - - Ciso: 9576v Clabel: 9576v3 Cnumber: 3 abc_quality: 1.0120375317308423 absD: 2702844295216128 adelic_genus: 0 adelic_index: 48 adelic_level: 3192 ainvs: - 0 - 0 - 0 - -5335419 - -4743521242 analytic_rank: 0 bad_primes: - 2 - 3 - 7 - 19 class_deg: 4 class_size: 4 cm: 0 conductor: 9576 degree: 196608 elladic_images: - 4.6.0.1 faltings_height: __RealLiteral__: 0 data: '2.3634602169865360506507098505' prec: 100 faltings_index: 2 faltings_ratio: 4 id: 61867 iso_nlabel: 19 isogeny_degrees: - 1 - 2 - 4 jinv: - 22501000029889239268 - 3620708343 lmfdb_iso: 9576.t lmfdb_label: 9576.t1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -592824 - 175883580 min_quad_twist_disc: -3 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 12.12.0-4.c.1.2 - 28.12.0.h.1 - 84.24.0.? - 152.12.0.? - 456.24.0.? - 1064.24.0.? - 3192.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 1 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: '1.2365314221858601137720604642' prec: 100 szpiro_ratio: 6.336112180352054 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 0 - 0 - 2 - 0 - -1 - 0 - 0 - 0 - 4 - 0 - 2 - 0 - 0 - 0 - 6 - 0 - 1 - 0 aplist: - 0 - 0 - 2 - -1 - 4 - 2 - 6 - 1 - 0 - 10 - 8 - -2 - -6 - 4 - 8 - -6 - 4 - -10 - 8 - -12 - -14 - -4 - 4 - -6 - 14 class_deg: 4 class_size: 4 conductor: 9576 id: 36265 isogeny_matrix: - - 1 - 2 - 4 - 4 - - 2 - 1 - 2 - 2 - - 4 - 2 - 1 - 4 - - 4 - 2 - 4 - 1 lmfdb_iso: 9576.t trace_hash: 940075881223817937 - - area: __RealLiteral__: 0 data: '0.0088536946369958786586152002910' prec: 110 conductor: 9576 gens: [] heights: [] id: 61867 lmfdb_label: 9576.t1 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.099336173377925073770588637062' prec: 107 sha_an: __RealLiteral__: 0 data: '4.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '3.1787575480936023606588363859765521166' prec: 130 tamagawa_product: 32 torsion_generators: - - -1334 - 0 - 1 xcoord_integral_points: - -1334 - - id: 61867 iwdata: '19': - 1 - 0 '2': a '3': a '7': - 0 - 0 iwp0: 3 lmfdb_label: 9576.t1 - - degree: 2 field: - -7 - 0 - 1 id: 498177 lmfdb_label: 9576.t1 torsion: - 2 - 2 - degree: 2 field: - 1 - -1 - 1 id: 498178 lmfdb_label: 9576.t1 torsion: - 4 - degree: 2 field: - 21 - 0 - 1 id: 498179 lmfdb_label: 9576.t1 torsion: - 4 - degree: 4 field: - 49 - 0 - 7 - 0 - 1 id: 498180 lmfdb_label: 9576.t1 torsion: - 2 - 4 - degree: 8 field: - -3 - 18 - -20 - 6 - -7 - 2 - 4 - -4 - 1 id: 498181 lmfdb_label: 9576.t1 torsion: - 2 - 4 - degree: 8 field: - 784 - 0 - -168 - 0 - 8 - 0 - -6 - 0 - 1 id: 498182 lmfdb_label: 9576.t1 torsion: - 8 - degree: 8 field: - 801 - 1092 - 196 - -66 - 12 - -10 - -12 - 0 - 1 id: 498184 lmfdb_label: 9576.t1 torsion: - 6 - degree: 8 field: - 423801 - 0 - -8232 - 0 - 490 - 0 - 56 - 0 - 1 id: 498183 lmfdb_label: 9576.t1 torsion: - 8 - degree: 16 field: - 1 - -2 - 2 - -12 - 13 - 8 - 30 - -26 - -12 - -26 - 30 - 8 - 13 - -12 - 2 - -2 - 1 id: 498185 lmfdb_label: 9576.t1 torsion: - 4 - 4 - degree: 16 field: - 144 - 0 - -240 - 0 - 544 - 0 - 240 - 0 - 156 - 0 - -40 - 0 - -12 - 0 - 0 - 0 - 1 id: 498189 lmfdb_label: 9576.t1 torsion: - 12 - degree: 16 field: - 956916 - -5630688 - 12372192 - -12630216 - 6295788 - -955560 - -1530788 - 403464 - 331660 - -6440 - -35300 - 388 - 2380 - -20 - -80 - 0 - 1 id: 498188 lmfdb_label: 9576.t1 torsion: - 2 - 6 - degree: 16 field: - 4879681 - 0 - 2747996 - 0 - 993077 - 0 - 223884 - 0 - 35912 - 0 - 2532 - 0 - 149 - 0 - 20 - 0 - 1 id: 498187 lmfdb_label: 9576.t1 torsion: - 2 - 8 - degree: 16 field: - 45954841 - -96234684 - 152771848 - -127152816 - 88812251 - -32734212 - 14848788 - -2914464 - 2135468 - -154392 - 123954 - -8736 - 5123 - -168 - 82 - 0 - 1 id: 498186 lmfdb_label: 9576.t1 torsion: - 2 - 8 - degree: 16 field: - 1567582641 - -1038345084 - 474077856 - -156363252 - 167198656 - -135680016 - 67383876 - -20189888 - 4258002 - -622188 - 51164 - 732 - 1848 - -400 - -24 - 0 - 1 id: 498190 lmfdb_label: 9576.t1 torsion: - 12 - - conductor: 9576 conductor_valuation: 3 discriminant_valuation: 10 id: 201823 j_denominator_valuation: 0 kodaira_symbol: -3 lmfdb_label: 9576.t1 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 9576 conductor_valuation: 2 discriminant_valuation: 10 id: 201824 j_denominator_valuation: 4 kodaira_symbol: -8 lmfdb_label: 9576.t1 prime: 3 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 9576 conductor_valuation: 1 discriminant_valuation: 3 id: 201825 j_denominator_valuation: 3 kodaira_symbol: 7 lmfdb_label: 9576.t1 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 9576 conductor_valuation: 1 discriminant_valuation: 4 id: 201826 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 9576.t1 prime: 19 reduction_type: 1 root_number: -1 tamagawa_number: 4 - - adelic_gens: - - 1984 - 3 - 309 - 1066 - - 403 - 402 - 2274 - 2803 - - 3185 - 8 - 3184 - 9 - - 1 - 0 - 8 - 1 - - 400 - 939 - 1467 - 2560 - - 1 - 8 - 0 - 1 - - 1 - 4 - 4 - 17 - - 1063 - 0 - 0 - 3191 - - 7 - 6 - 3186 - 3187 - - 1009 - 2136 - 1908 - 2161 adelic_image: 3192.48.0.? conductor: 9576 id: 1727303 lmfdb_label: 9576.t1 prime: 0 - conductor: 9576 elladic_image: 4.6.0.1 id: 46385 lmfdb_label: 9576.t1 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 9576.t1 - 9576.t - 9576.t1 - 9576.t1 - 9576.t1 - 9576.t1 - 9576.t1 - 9576.t tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-16T06:30:26.303427'