data: - - Ciso: 3675j Clabel: 3675j3 Cnumber: 3 abc_quality: 1.0015974661127929 absD: 84426025359375 adelic_genus: 1 adelic_index: 192 adelic_level: 1680 ainvs: - 1 - 0 - 1 - -47801 - -4002127 analytic_rank: 1 bad_primes: - 3 - 5 - 7 class_deg: 8 class_size: 6 cm: 0 conductor: 3675 degree: 12288 elladic_images: - 8.24.0.88 faltings_height: __RealLiteral__: 0 data: '1.5053058238556739559027058323' prec: 100 faltings_index: 3 faltings_ratio: 4 id: 22285 iso_nlabel: 13 isogeny_degrees: - 1 - 2 - 4 - 8 jinv: - 6570725617 - 45927 lmfdb_iso: 3675.n lmfdb_label: 3675.n3 lmfdb_number: 3 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 0 - -39 - 90 min_quad_twist_disc: -35 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.24.0.bb.1 - 20.12.0-4.c.1.1 - 28.12.0.h.1 - 40.48.0-8.bb.1.1 - 48.48.0.bf.1 - 56.48.0.bl.2 - 140.24.0.? - 240.96.0.? - 280.96.0.? - 336.96.1.? - 1680.192.1.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 3 num_int_pts: 4 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '0.96574116063259045914214974076' prec: 103 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.27236820688903288395035020604' prec: 107 szpiro_ratio: 5.352214373373017 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 1 - 1 - -1 - 0 - 1 - 0 - -3 - 1 - 0 - 4 - -1 - -2 - 0 - 0 - -1 - -6 - 1 - -4 - 0 aplist: - 1 - 1 - 0 - 0 - 4 - -2 - -6 - -4 - 0 - -2 - 0 - -6 - -2 - 4 - 0 - -6 - -12 - 2 - -4 - 0 - -6 - -16 - -12 - 14 - 18 class_deg: 8 class_size: 6 conductor: 3675 id: 12077 isogeny_matrix: - - 1 - 2 - 8 - 4 - 4 - 8 - - 2 - 1 - 4 - 2 - 2 - 4 - - 8 - 4 - 1 - 8 - 2 - 4 - - 4 - 2 - 8 - 1 - 4 - 8 - - 4 - 2 - 2 - 4 - 1 - 2 - - 8 - 4 - 4 - 8 - 2 - 1 lmfdb_iso: 3675.n trace_hash: 980299494559147339 - - area: __RealLiteral__: 0 data: '0.049261538836407256036351843834' prec: 107 conductor: 3675 gens: - - -129 - 211 - 1 heights: - __RealLiteral__: 0 data: '0.96574116063259045914214974076' prec: 103 id: 22285 lmfdb_label: 3675.n3 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.32301622878902469969549477252' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '4.9912010831020014917214974482689171908' prec: 130 tamagawa_product: 64 torsion_generators: - - -537 - 533 - 2 xcoord_integral_points: - -129 - 1047 - - id: 22285 iwdata: '11': - 1 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': - 5 - 1 '23': - 1 - 1 - 0 '29': - 1 - 0 '3': - 2 - 0 '31': - 1 - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 1 - 0 '5': a '7': a iwp0: 0 lmfdb_label: 3675.n3 - - degree: 2 field: - -7 - 0 - 1 id: 192381 lmfdb_label: 3675.n3 torsion: - 2 - 2 - degree: 2 field: - 5 - 0 - 1 id: 192382 lmfdb_label: 3675.n3 torsion: - 4 - degree: 2 field: - 9 - -1 - 1 id: 192383 lmfdb_label: 3675.n3 torsion: - 8 - degree: 4 field: - 9 - 0 - -1 - 0 - 1 id: 192384 lmfdb_label: 3675.n3 torsion: - 2 - 8 - degree: 8 field: - -349 - -284 - -241 - -129 - -45 - -24 - 4 - -4 - 1 id: 192388 lmfdb_label: 3675.n3 torsion: - 6 - degree: 8 field: - 49 - 0 - 0 - 0 - -49 - 0 - 0 - 0 - 1 id: 192385 lmfdb_label: 3675.n3 torsion: - 2 - 4 - degree: 8 field: - 144 - 0 - -156 - 0 - 55 - 0 - -8 - 0 - 1 id: 192387 lmfdb_label: 3675.n3 torsion: - 16 - degree: 8 field: - 3969 - 0 - 0 - 0 - -14 - 0 - 0 - 0 - 1 id: 192386 lmfdb_label: 3675.n3 torsion: - 8 - degree: 16 field: - 1 - 0 - 13704 - 0 - 10698 - 0 - -2460 - 0 - 475 - 0 - 228 - 0 - 30 - 0 - 12 - 0 - 1 id: 192389 lmfdb_label: 3675.n3 torsion: - 4 - 8 - degree: 16 field: - 9 - 0 - -207 - 0 - 1008 - 0 - 9149 - 0 - 2765 - 0 - 119 - 0 - 7 - 0 - 10 - 0 - 1 id: 192393 lmfdb_label: 3675.n3 torsion: - 12 - degree: 16 field: - 81 - -270 - 414 - -576 - 681 - -138 - -338 - -34 - 420 - -260 - 152 - -162 - 65 - 4 - 0 - -4 - 1 id: 192390 lmfdb_label: 3675.n3 torsion: - 2 - 16 - degree: 16 field: - 40401 - 0 - -30069 - 0 - 13491 - 0 - -6010 - 0 - 1541 - 0 - -247 - 0 - 67 - 0 - -14 - 0 - 1 id: 192392 lmfdb_label: 3675.n3 torsion: - 2 - 6 - degree: 16 field: - 163689 - -84849 - 175544 - -23492 - 35612 - 2371 - 5813 - -1019 - 3330 - -3315 - 1488 - -376 - 193 - -70 - 25 - -4 - 1 id: 192394 lmfdb_label: 3675.n3 torsion: - 24 - degree: 16 field: - 501309 - 975240 - 1373166 - 1395576 - 1141884 - 742644 - 358398 - 73080 - -37571 - -29316 - -2902 - 3192 - 960 - -84 - -52 - 0 - 1 id: 192391 lmfdb_label: 3675.n3 torsion: - 2 - 16 - - conductor: 3675 conductor_valuation: 1 discriminant_valuation: 8 id: 68007 j_denominator_valuation: 8 kodaira_symbol: 12 lmfdb_label: 3675.n3 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 8 - conductor: 3675 conductor_valuation: 2 discriminant_valuation: 6 id: 68008 j_denominator_valuation: 0 kodaira_symbol: -1 lmfdb_label: 3675.n3 prime: 5 reduction_type: 0 root_number: 1 tamagawa_number: 2 - conductor: 3675 conductor_valuation: 2 discriminant_valuation: 7 id: 68009 j_denominator_valuation: 1 kodaira_symbol: -5 lmfdb_label: 3675.n3 prime: 7 reduction_type: 0 root_number: -1 tamagawa_number: 4 - - adelic_gens: - - 5 - 4 - 1676 - 1677 - - 1226 - 935 - 715 - 726 - - 1 - 16 - 0 - 1 - - 1665 - 16 - 1664 - 17 - - 1343 - 0 - 0 - 1679 - - 15 - 2 - 1582 - 1667 - - 424 - 335 - 785 - 1334 - - 1121 - 1360 - 1240 - 801 - - 1 - 0 - 16 - 1 - - 1 - 1360 - 1100 - 1221 adelic_image: 1680.192.1.? conductor: 3675 id: 1687930 lmfdb_label: 3675.n3 prime: 0 - conductor: 3675 elladic_image: 8.24.0.88 id: 18430 lmfdb_label: 3675.n3 modell_image: 2B prime: 2 - - id: 125218 lmfdb_iso: 3675.n p: 11 prec: 20 unit: 31093982274792803902 val: 1 - id: 125216 lmfdb_iso: 3675.n p: 13 prec: 20 unit: 873921138188630370614 val: 1 - id: 125219 lmfdb_iso: 3675.n p: 17 prec: 20 unit: 226095144277622691933148 val: 1 - id: 125220 lmfdb_iso: 3675.n p: 19 prec: 20 unit: 1764723675284192906545328 val: 1 - id: 125215 lmfdb_iso: 3675.n p: 29 prec: 20 unit: 5599829347689396114741300755 val: 1 - id: 125212 lmfdb_iso: 3675.n p: 37 prec: 20 unit: 275923231807904489093134237334 val: 1 - id: 125213 lmfdb_iso: 3675.n p: 41 prec: 20 unit: 2769345474659622042766389469779 val: 1 - id: 125214 lmfdb_iso: 3675.n p: 43 prec: 20 unit: 1950702742185023741041581451458 val: 1 - id: 125221 lmfdb_iso: 3675.n p: 53 prec: 20 unit: 259790208289023785347826291740963 val: 1 - id: 125224 lmfdb_iso: 3675.n p: 59 prec: 20 unit: 984878558936208566195191217669905 val: 1 - id: 125225 lmfdb_iso: 3675.n p: 61 prec: 20 unit: 8036048046716801002737364977212997 val: 1 - id: 125211 lmfdb_iso: 3675.n p: 67 prec: 20 unit: 20253584681590203412103925181462314 val: 1 - id: 125222 lmfdb_iso: 3675.n p: 73 prec: 20 unit: 114954966708409609996010725888455133 val: 1 - id: 125217 lmfdb_iso: 3675.n p: 79 prec: 20 unit: 665277863786516337453738916553354237 val: 1 - id: 125210 lmfdb_iso: 3675.n p: 83 prec: 20 unit: 245033028695127189363110361588930033 val: 1 - id: 125223 lmfdb_iso: 3675.n p: 89 prec: 20 unit: 9635212464979301149056115280604717148 val: 1 - id: 125209 lmfdb_iso: 3675.n p: 97 prec: 20 unit: 7589751394022832946417299306326478228 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 3675.n3 - 3675.n - 3675.n3 - 3675.n3 - 3675.n3 - 3675.n3 - 3675.n3 - 3675.n tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-20T14:34:39.984157'