data: - - Ciso: 2310f Clabel: 2310f4 Cnumber: 4 abc_quality: 0.9830640731165118 absD: 170843779260 adelic_genus: 0 adelic_index: 48 adelic_level: 9240 ainvs: - 1 - 0 - 1 - -26044 - 1615406 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: 2 faltings_ratio: 4 id: 13219 iso_nlabel: 5 isogeny_degrees: - 1 - 2 - 4 jinv: - 1953542217204454969 - 170843779260 lmfdb_iso: 2310.f lmfdb_label: 2310.f1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 1 - -26044 - 1615406 min_quad_twist_disc: 1 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 12.12.0-4.c.1.1 - 20.12.0-4.c.1.2 - 60.24.0-60.h.1.4 - 616.12.0.? - 1848.24.0.? - 3080.24.0.? - 9240.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 5 num_int_pts: 16 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '0.13267538573051535699260018313' prec: 103 semistable: true sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '1.1966266204667129883845612471' prec: 100 szpiro_ratio: 5.437851604277411 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: '0.091332074798696999517732898315' prec: 107 conductor: 2310 gens: - - 91 - -79 - 1 heights: - __RealLiteral__: 0 data: '0.13267538573051535699260018313' prec: 103 id: 13219 lmfdb_label: 2310.f1 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.97208984313206477442524232568' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '2.5794478980452571715261637859032260821' prec: 130 tamagawa_product: 80 torsion_generators: - - 375 - -379 - 2 xcoord_integral_points: - -129 - -41 - 25 - 91 - 94 - 106 - 124 - 1576 - - id: 13219 iwdata: '11': - 2 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': - 3 - 0 '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.f1 - - degree: 2 field: - -15 - 0 - 1 id: 117290 lmfdb_label: 2310.f1 torsion: - 2 - 2 - degree: 2 field: - -3 - 0 - 1 id: 117292 lmfdb_label: 2310.f1 torsion: - 4 - degree: 2 field: - -1 - -1 - 1 id: 117291 lmfdb_label: 2310.f1 torsion: - 4 - degree: 4 field: - 1 - 8 - -7 - -2 - 1 id: 117293 lmfdb_label: 2310.f1 torsion: - 2 - 4 - degree: 8 field: - -5240 - -3883 - 3610 - 545 - -269 - -7 - 7 - -4 - 1 id: 117297 lmfdb_label: 2310.f1 torsion: - 6 - degree: 8 field: - 21 - -78 - 120 - -78 - 34 - -2 - 0 - -2 - 1 id: 117294 lmfdb_label: 2310.f1 torsion: - 2 - 4 - degree: 8 field: - 25631 - 24964 - -21928 - -5968 - 2725 - 308 - -98 - -4 - 1 id: 117295 lmfdb_label: 2310.f1 torsion: - 8 - degree: 8 field: - 57600 - 0 - -25920 - 0 - 4089 - 0 - -108 - 0 - 1 id: 117296 lmfdb_label: 2310.f1 torsion: - 8 - degree: 16 field: - -5784119 - 24756688 - 15700290 - -61439100 - -14008020 - 42940824 - 2523742 - -12375860 - 620625 - 1499880 - -153918 - -75924 - 9560 - 1400 - -180 - -8 - 1 id: 117300 lmfdb_label: 2310.f1 torsion: - 2 - 8 - degree: 16 field: - 1 - -6 - 18 - -36 - 37 - 0 - -18 - 42 - -60 - 42 - -18 - 0 - 37 - -36 - 18 - -6 - 1 id: 117298 lmfdb_label: 2310.f1 torsion: - 4 - 4 - degree: 16 field: - 324 - 0 - -32211 - 0 - 29250 - 0 - -18117 - 0 - 4275 - 0 - 183 - 0 - -45 - 0 - -6 - 0 - 1 id: 117303 lmfdb_label: 2310.f1 torsion: - 12 - degree: 16 field: - 2650384 - 0 - -62501824 - 0 - 21450880 - 0 - -3213277 - 0 - 207610 - 0 - 6563 - 0 - -503 - 0 - -10 - 0 - 1 id: 117302 lmfdb_label: 2310.f1 torsion: - 12 - degree: 16 field: - 126562500 - 0 - -2516484375 - 0 - 457031250 - 0 - -56615625 - 0 - 2671875 - 0 - 22875 - 0 - -1125 - 0 - -30 - 0 - 1 id: 117301 lmfdb_label: 2310.f1 torsion: - 2 - 6 - degree: 16 field: - 17986111396 - -4460072056 - 5039843900 - -1202699640 - 711664754 - -139282616 - 58282942 - -10869420 - 3630301 - -653496 - 176842 - -26812 - 5864 - -672 - 116 - -8 - 1 id: 117299 lmfdb_label: 2310.f1 torsion: - 2 - 8 - - conductor: 2310 conductor_valuation: 1 discriminant_valuation: 2 id: 38804 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 2310.f1 prime: 2 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 2310 conductor_valuation: 1 discriminant_valuation: 5 id: 38805 j_denominator_valuation: 5 kodaira_symbol: 9 lmfdb_label: 2310.f1 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 5 - conductor: 2310 conductor_valuation: 1 discriminant_valuation: 1 id: 38806 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 2310.f1 prime: 5 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 2310 conductor_valuation: 1 discriminant_valuation: 4 id: 38807 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 2310.f1 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 2310 conductor_valuation: 1 discriminant_valuation: 4 id: 38808 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 2310.f1 prime: 11 reduction_type: 1 root_number: -1 tamagawa_number: 4 - - adelic_gens: - - 9233 - 8 - 9232 - 9 - - 1856 - 3 - 5 - 2 - - 1 - 8 - 0 - 1 - - 8088 - 3473 - 8113 - 8160 - - 5779 - 5778 - 8098 - 3475 - - 1 - 0 - 8 - 1 - - 6164 - 1 - 3103 - 6 - - 5281 - 8 - 2644 - 33 - - 1 - 4 - 4 - 17 - - 2521 - 8 - 844 - 33 - - 7 - 6 - 9234 - 9235 adelic_image: 9240.48.0.? conductor: 2310 id: 1678906 lmfdb_label: 2310.f1 prime: 0 - conductor: 2310 elladic_image: 4.6.0.1 id: 11317 lmfdb_label: 2310.f1 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.f1 - 2310.f - 2310.f1 - 2310.f1 - 2310.f1 - 2310.f1 - 2310.f1 - 2310.f tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-24T11:52:16.430016'