data: - - Ciso: 2310f Clabel: 2310f3 Cnumber: 3 abc_quality: 0.9706759337975488 absD: 5369647977540 adelic_genus: 0 adelic_index: 48 adelic_level: 9240 ainvs: - 1 - 0 - 1 - -9444 - -335954 analytic_rank: 1 bad_primes: - 2 - 3 - 5 - 7 - 11 class_deg: 4 class_size: 4 cm: 0 conductor: 2310 degree: 5120 elladic_images: - 4.6.0.1 faltings_height: __RealLiteral__: 0 data: '1.1966266204667129883845612471' prec: 100 faltings_index: 3 faltings_ratio: 4 id: 13218 iso_nlabel: 5 isogeny_degrees: - 1 - 2 - 4 jinv: - 93137706732176569 - 5369647977540 lmfdb_iso: 2310.f lmfdb_label: 2310.f2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 1 - -9444 - -335954 min_quad_twist_disc: 1 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 20.12.0-4.c.1.1 - 24.12.0-4.c.1.3 - 120.24.0.? - 308.12.0.? - 770.6.0.? - 1540.24.0.? - 1848.24.0.? - 9240.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 5 num_int_pts: 8 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '0.53070154292206142797040073253' prec: 103 semistable: true sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '1.1966266204667129883845612471' prec: 100 szpiro_ratio: 5.0449117323360895 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - -1 - 1 - 1 - -1 - -1 - -1 - -1 - 1 - 1 - 1 - 1 - -2 - 1 - -1 - 1 - -2 - -1 - 4 - -1 aplist: - -1 - 1 - -1 - -1 - 1 - -2 - -2 - 4 - -4 - -6 - -4 - -2 - 10 - 4 - -8 - -6 - -4 - -2 - -12 - -8 - 2 - 4 - 0 - -10 - -2 class_deg: 4 class_size: 4 conductor: 2310 id: 6911 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 2310.f trace_hash: 1215771082011633382 - - area: __RealLiteral__: 0 data: '0.091332074798696999517732898314' prec: 107 conductor: 2310 gens: - - -46 - 63 - 1 heights: - __RealLiteral__: 0 data: '0.53070154292206142797040073253' prec: 103 id: 13218 lmfdb_label: 2310.f2 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.48604492156603238721262116284' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '2.5794478980452571715261637859032260821' prec: 130 tamagawa_product: 40 torsion_generators: - - -265 - 261 - 2 xcoord_integral_points: - -64 - -46 - 116 - 1574 - - id: 13218 iwdata: '11': - 2 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': - 3 - 1 '23': - 1 - 0 '29': - 1 - 0 '3': - 20 - 0 '31': - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 0 '5': - 1 - 0 '7': - 1 - 0 iwp0: 0 lmfdb_label: 2310.f2 - - degree: 2 field: - -96 - -1 - 1 id: 117276 lmfdb_label: 2310.f2 torsion: - 2 - 2 - degree: 2 field: - 5 - 0 - 1 id: 117278 lmfdb_label: 2310.f2 torsion: - 4 - degree: 2 field: - 77 - 0 - 1 id: 117277 lmfdb_label: 2310.f2 torsion: - 4 - degree: 4 field: - 324 - 0 - 41 - 0 - 1 id: 117279 lmfdb_label: 2310.f2 torsion: - 2 - 4 - degree: 8 field: - -5240 - -3883 - 3610 - 545 - -269 - -7 - 7 - -4 - 1 id: 117283 lmfdb_label: 2310.f2 torsion: - 6 - degree: 8 field: - 441 - 252 - 375 - -48 - 124 - -2 - 15 - -2 - 1 id: 117282 lmfdb_label: 2310.f2 torsion: - 8 - degree: 8 field: - 2360821 - 24644 - -27718 - 6152 - -3085 - 8 - 2 - -4 - 1 id: 117280 lmfdb_label: 2310.f2 torsion: - 2 - 4 - degree: 8 field: - 37945600 - 0 - 1897280 - 0 - 92169 - 0 - 308 - 0 - 1 id: 117281 lmfdb_label: 2310.f2 torsion: - 8 - degree: 16 field: - 302968836 - 4073004 - 1499454 - 11398914 - -3919739 - -1507708 - 1259846 - -151188 - 9382 - 2698 - -2114 - -1112 - 466 - 36 - -16 - -4 - 1 id: 117286 lmfdb_label: 2310.f2 torsion: - 2 - 8 - degree: 16 field: - 1113350670 - -223820010 - 242292789 - -37089900 - 18747450 - 179604 - -701613 - 424128 - 53215 - -109340 - 25663 - -2876 - 1177 - -350 - 70 - -8 - 1 id: 117289 lmfdb_label: 2310.f2 torsion: - 12 - degree: 16 field: - 22777148241 - 0 - -2054472408 - 0 - 259902778 - 0 - -8911836 - 0 - 890315 - 0 - -4476 - 0 - 1598 - 0 - 12 - 0 - 1 id: 117284 lmfdb_label: 2310.f2 torsion: - 4 - 4 - degree: 16 field: - 56244865600 - 0 - 69068421037 - 0 - -1866864230 - 0 - -125392421 - 0 - -3302453 - 0 - 353815 - 0 - 11935 - 0 - 154 - 0 - 1 id: 117288 lmfdb_label: 2310.f2 torsion: - 12 - degree: 16 field: - 72689281536 - 113178663552 - 72177339456 - 15265272128 - -3040155616 - -1675636032 - -32649584 - 72412384 - 5203572 - -2079924 - -231132 - 31836 - 5462 - -94 - -87 - -2 - 1 id: 117287 lmfdb_label: 2310.f2 torsion: - 2 - 6 - degree: 16 field: - 860126147136 - 1385928548928 - 845995404048 - 62416813536 - 19541595502 - -20265078372 - -1122677502 - 164732568 - -34369575 - 36767808 - 5611966 - 197736 - 79332 - -924 - -612 - 0 - 1 id: 117285 lmfdb_label: 2310.f2 torsion: - 2 - 8 - - conductor: 2310 conductor_valuation: 1 discriminant_valuation: 2 id: 38799 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 2310.f2 prime: 2 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 2310 conductor_valuation: 1 discriminant_valuation: 20 id: 38800 j_denominator_valuation: 20 kodaira_symbol: 24 lmfdb_label: 2310.f2 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 20 - conductor: 2310 conductor_valuation: 1 discriminant_valuation: 1 id: 38801 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 2310.f2 prime: 5 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 2310 conductor_valuation: 1 discriminant_valuation: 1 id: 38802 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 2310.f2 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 2310 conductor_valuation: 1 discriminant_valuation: 1 id: 38803 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 2310.f2 prime: 11 reduction_type: 1 root_number: -1 tamagawa_number: 1 - - adelic_gens: - - 9233 - 8 - 9232 - 9 - - 1856 - 3 - 5 - 2 - - 1 - 8 - 0 - 1 - - 2644 - 1 - 1343 - 6 - - 5779 - 5778 - 8098 - 3475 - - 1 - 0 - 8 - 1 - - 6161 - 8 - 6164 - 33 - - 844 - 1 - 2543 - 6 - - 1 - 4 - 4 - 17 - - 5779 - 5776 - 1178 - 5781 - - 7 - 6 - 9234 - 9235 adelic_image: 9240.48.0.? conductor: 2310 id: 1678907 lmfdb_label: 2310.f2 prime: 0 - conductor: 2310 elladic_image: 4.6.0.1 id: 11318 lmfdb_label: 2310.f2 modell_image: 2B prime: 2 - - id: 69653 lmfdb_iso: 2310.f p: 13 prec: 20 unit: 37499589381664018731 val: 1 - id: 69655 lmfdb_iso: 2310.f p: 17 prec: 20 unit: 88299458366452594484517 val: 1 - id: 69656 lmfdb_iso: 2310.f p: 19 prec: 20 unit: 1864943266765509265753255 val: 1 - id: 69660 lmfdb_iso: 2310.f p: 23 prec: 20 unit: 3718463631912663212829583 val: 1 - id: 69652 lmfdb_iso: 2310.f p: 29 prec: 20 unit: 1581519905257324943097567392 val: 1 - id: 69664 lmfdb_iso: 2310.f p: 31 prec: 20 unit: 7786582816261365519063334302 val: 1 - id: 69648 lmfdb_iso: 2310.f p: 37 prec: 20 unit: 118992153120546806743257855778 val: 1 - id: 69650 lmfdb_iso: 2310.f p: 41 prec: 20 unit: 1675521781942495597045128045668 val: 1 - id: 69651 lmfdb_iso: 2310.f p: 43 prec: 20 unit: 5416932914124849588841637803085 val: 1 - id: 69662 lmfdb_iso: 2310.f p: 47 prec: 20 unit: 25955728667824080474135516924393 val: 1 - id: 69657 lmfdb_iso: 2310.f p: 53 prec: 20 unit: 185798072000602462028050020211715 val: 1 - id: 69658 lmfdb_iso: 2310.f p: 59 prec: 20 unit: 3354780678462698469673241542200832 val: 1 - id: 69663 lmfdb_iso: 2310.f p: 61 prec: 20 unit: 5302672225293981825825715168950165 val: 1 - id: 69647 lmfdb_iso: 2310.f p: 67 prec: 20 unit: 10865913447442369879747855767951294 val: 1 - id: 69649 lmfdb_iso: 2310.f p: 71 prec: 20 unit: 110812295162733920719691430861644419 val: 1 - id: 69659 lmfdb_iso: 2310.f p: 73 prec: 20 unit: 96383797952402686027250413513187755 val: 1 - id: 69654 lmfdb_iso: 2310.f p: 79 prec: 20 unit: 487877394724840868701669401029650947 val: 1 - id: 69661 lmfdb_iso: 2310.f p: 89 prec: 20 unit: 3892134799262186528490832287188244884 val: 1 - id: 69646 lmfdb_iso: 2310.f p: 97 prec: 20 unit: 19938153225962878285445923374315158658 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 2310.f2 - 2310.f - 2310.f2 - 2310.f2 - 2310.f2 - 2310.f2 - 2310.f2 - 2310.f tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-25T16:58:52.433297'