data: - - Ciso: 369600rr Clabel: 369600rr1 Cnumber: 1 abc_quality: 1.0143160179255784 absD: 3604748695741755555840000000 adelic_genus: 1 adelic_index: 192 adelic_level: 1680 ainvs: - 0 - 1 - 0 - -532560033 - -5542860059937 analytic_rank: 0 bad_primes: - 2 - 3 - 5 - 7 - 11 class_deg: 8 class_size: 6 cm: 0 conductor: 369600 degree: 212336640 elladic_images: - 16.24.0.13 faltings_height: __RealLiteral__: 0 data: '4.0087245382492396517052436209' prec: 100 faltings_index: 0 faltings_ratio: 1 id: 2303933 iso_nlabel: 459 isogeny_degrees: - 1 - 2 - 4 - 8 jinv: - -4078208988807294650401 - 880065599546327040 lmfdb_iso: 369600.rr lmfdb_label: 369600.rr5 lmfdb_number: 5 manin_constant: 1 min_quad_twist_ainvs: - 1 - 1 - 1 - -332850 - 86465727 min_quad_twist_disc: -40 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.12.0.n.1 - 16.24.0.e.2 - 24.24.0-8.n.1.2 - 30.6.0.a.1 - 40.24.0-8.n.1.2 - 48.48.0-16.e.2.3 - 56.24.0.bv.1 - 60.12.0.g.1 - 80.48.0.? - 112.48.0.? - 120.48.0.? - 168.48.0.? - 240.96.0.? - 280.48.0.? - 336.96.0.? - 560.96.0.? - 840.96.0.? - 1680.192.1.? 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: '2.1642848111922715002790157721' prec: 100 szpiro_ratio: 5.63253901330461 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 1 - 0 - 0 - 0 - 1 - 0 - 1 - 0 - -1 - 0 - -2 - 0 - 0 - 0 - -2 - 0 - -4 - 0 aplist: - 0 - 1 - 0 - 1 - -1 - -2 - -2 - -4 - 8 - -6 - -8 - -2 - 2 - -4 - 8 - -10 - -12 - 2 - 4 - -8 - -2 - -16 - 4 - -14 - -10 class_deg: 8 class_size: 6 conductor: 369600 id: 1610449 isogeny_matrix: - - 1 - 8 - 4 - 2 - 4 - 8 - - 8 - 1 - 2 - 4 - 8 - 4 - - 4 - 2 - 1 - 2 - 4 - 2 - - 2 - 4 - 2 - 1 - 2 - 4 - - 4 - 8 - 4 - 2 - 1 - 8 - - 8 - 4 - 2 - 4 - 8 - 1 lmfdb_iso: 369600.rr trace_hash: 665810764358380219 - - area: __RealLiteral__: 0 data: '0.00032965988829887665942008239995' prec: 113 conductor: 369600 gens: [] heights: [] id: 2303933 lmfdb_label: 369600.rr5 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.015534419823715364800984527538' prec: 107 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '0.74565215153833751044725732183975072559' prec: 133 tamagawa_product: 192 torsion_generators: - - 27143 - 0 - 1 xcoord_integral_points: - 27143 - [] - - degree: 2 field: - -6 - 0 - 1 id: 15348036 lmfdb_label: 369600.rr5 torsion: - 4 - degree: 2 field: - 4 - -1 - 1 id: 15348035 lmfdb_label: 369600.rr5 torsion: - 2 - 2 - degree: 2 field: - 10 - 0 - 1 id: 15348037 lmfdb_label: 369600.rr5 torsion: - 4 - degree: 4 field: - 16 - 0 - 2 - 0 - 1 id: 15348038 lmfdb_label: 369600.rr5 torsion: - 2 - 4 - degree: 4 field: - 64 - 0 - 26 - 0 - 1 id: 15348040 lmfdb_label: 369600.rr5 torsion: - 8 - degree: 4 field: - 74 - -24 - 25 - -2 - 1 id: 15348039 lmfdb_label: 369600.rr5 torsion: - 8 - degree: 8 field: - -10800 - 0 - 3690 - 0 - -360 - 0 - 0 - 0 - 1 id: 15348044 lmfdb_label: 369600.rr5 torsion: - 6 - degree: 8 field: - 184 - 216 - -146 - -152 - 107 - -40 - 18 - -4 - 1 id: 15348043 lmfdb_label: 369600.rr5 torsion: - 2 - 8 - degree: 8 field: - 17956 - 0 - -1444 - 0 - -99 - 0 - -4 - 0 - 1 id: 15348042 lmfdb_label: 369600.rr5 torsion: - 8 - degree: 8 field: - 494439696 - 0 - -400194 - 0 - 44481 - 0 - 6 - 0 - 1 id: 15348041 lmfdb_label: 369600.rr5 torsion: - 2 - 4 - degree: 16 field: - 2985984 - 0 - 6732288 - 0 - 61150720 - 0 - -561024 - 0 - 18900 - 0 - 10714 - 0 - -252 - 0 - 0 - 0 - 1 id: 15348050 lmfdb_label: 369600.rr5 torsion: - 2 - 6 - degree: 16 field: - 43494025 - 12530500 - 23856650 - -820800 - 11129555 - 519320 - -16190 - -1107120 - -81794 - 38556 - 25600 - -836 - -571 - 384 - 20 - -4 - 1 id: 15348049 lmfdb_label: 369600.rr5 torsion: - 16 - degree: 16 field: - 125440000 - 0 - 77312000 - 0 - -2566400 - 0 - 2839200 - 0 - -98400 - 0 - 1320 - 0 - 820 - 0 - 20 - 0 - 1 id: 15348052 lmfdb_label: 369600.rr5 torsion: - 12 - degree: 16 field: - 167961600 - 0 - 28684800 - 0 - 3297600 - 0 - -209880 - 0 - -62280 - 0 - -9030 - 0 - -444 - 0 - -12 - 0 - 1 id: 15348051 lmfdb_label: 369600.rr5 torsion: - 12 - degree: 16 field: - 269288100 - 0 - 78827400 - 0 - -1408080 - 0 - -1190940 - 0 - 21061 - 0 - 2716 - 0 - -114 - 0 - 16 - 0 - 1 id: 15348046 lmfdb_label: 369600.rr5 torsion: - 2 - 8 - degree: 16 field: - 40135858500 - -22000434000 - 2153802000 - -1090074600 - 212565000 - 6925800 - 1696560 - 5433180 - 824701 - 247852 - 5728 - 5884 - 1690 - 244 - -32 - -8 - 1 id: 15348047 lmfdb_label: 369600.rr5 torsion: - 16 - degree: 16 field: - 5757618232606 - 1076021824108 - 373417530278 - 12911277456 - 9846878779 - -901327196 - 542309478 - 11105248 - 19134317 - 553476 - 276922 - -8624 - 2897 - -308 - 58 - 0 - 1 id: 15348048 lmfdb_label: 369600.rr5 torsion: - 16 - degree: 16 field: - 854585244224100 - 0 - 8102606869800 - 0 - -698009873520 - 0 - -2420647980 - 0 - 201049141 - 0 - 84556 - 0 - -23874 - 0 - 16 - 0 - 1 id: 15348045 lmfdb_label: 369600.rr5 torsion: - 4 - 4 - - conductor: 369600 conductor_valuation: 6 discriminant_valuation: 58 id: 9146177 j_denominator_valuation: 40 kodaira_symbol: -52 lmfdb_label: 369600.rr5 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 369600 conductor_valuation: 1 discriminant_valuation: 3 id: 9146178 j_denominator_valuation: 3 kodaira_symbol: 7 lmfdb_label: 369600.rr5 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 3 - conductor: 369600 conductor_valuation: 2 discriminant_valuation: 7 id: 9146179 j_denominator_valuation: 1 kodaira_symbol: -5 lmfdb_label: 369600.rr5 prime: 5 reduction_type: 0 root_number: 1 tamagawa_number: 4 - conductor: 369600 conductor_valuation: 1 discriminant_valuation: 2 id: 9146180 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 369600.rr5 prime: 7 reduction_type: 1 root_number: -1 tamagawa_number: 2 - conductor: 369600 conductor_valuation: 1 discriminant_valuation: 2 id: 9146181 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 369600.rr5 prime: 11 reduction_type: -1 root_number: 1 tamagawa_number: 2 - - adelic_gens: - - 1 - 16 - 0 - 1 - - 1039 - 1664 - 1534 - 513 - - 664 - 1679 - 257 - 1670 - - 568 - 1 - 1199 - 10 - - 1679 - 1664 - 1260 - 1259 - - 1 - 0 - 16 - 1 - - 15 - 2 - 1582 - 1667 - - 5 - 4 - 1676 - 1677 - - 1665 - 16 - 1664 - 17 - - 1453 - 16 - 464 - 1365 adelic_image: 1680.192.1.? conductor: 369600 id: 3965000 lmfdb_label: 369600.rr5 prime: 0 - conductor: 369600 elladic_image: 16.24.0.13 id: 1269550 lmfdb_label: 369600.rr5 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 369600.rr5 - 369600.rr - 369600.rr5 - 369600.rr5 - 369600.rr5 - 369600.rr5 - 369600.rr5 - 369600.rr tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-24T08:04:41.341192'