data: - - Ciso: 12936t Clabel: 12936t4 Cnumber: 4 abc_quality: 1.0688986020632145 absD: 515451795167232 adelic_genus: 0 adelic_index: 48 adelic_level: 616 ainvs: - 0 - -1 - 0 - -1863584 - 979821228 analytic_rank: 2 bad_primes: - 2 - 3 - 7 - 11 class_deg: 4 class_size: 4 cm: 0 conductor: 12936 degree: 196608 elladic_images: - 8.12.0.6 faltings_height: __RealLiteral__: 0 data: '2.1348770652301966999426458163' prec: 100 faltings_index: 2 faltings_ratio: 4 id: 84512 iso_nlabel: 3 isogeny_degrees: - 1 - 2 - 4 jinv: - 2970658109581346 - 2139291 lmfdb_iso: 12936.d lmfdb_label: 12936.d1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 0 - 1 - 0 - -38032 - -2867488 min_quad_twist_disc: -7 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.12.0-4.c.1.5 - 28.12.0-4.c.1.1 - 56.24.0-56.z.1.10 - 88.24.0.? - 616.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 9 optimality: 0 potential_good_reduction: false rank: 2 regulator: __RealLiteral__: 0 data: '5.9833032208257049232069806973' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '0.52653707518925684709083999991' prec: 103 szpiro_ratio: 5.801539672279672 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - -1 - 0 - -2 - 0 - 0 - 0 - 1 - 0 - 1 - 0 - -6 - 0 - 2 - 0 - -6 - 0 - 0 - 0 aplist: - 0 - -1 - -2 - 0 - 1 - -6 - -6 - 0 - -8 - -2 - -4 - -2 - 2 - -12 - -12 - 6 - -4 - -6 - 4 - 0 - 2 - 8 - 0 - 6 - -18 class_deg: 4 class_size: 4 conductor: 12936 id: 50565 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 12936.d trace_hash: 76387630334713929 - - area: __RealLiteral__: 0 data: '0.013985221270571923398476286361' prec: 107 conductor: 12936 gens: - - -583 - 43218 - 1 - - 677 - 5292 - 1 heights: - __RealLiteral__: 0 data: '2.3464404694442676225623075931' prec: 100 - __RealLiteral__: 0 data: '2.5960482465655427956622347091' prec: 100 id: 84512 lmfdb_label: 12936.d1 ngens: 2 rank_bounds: - 2 - 2 real_period: __RealLiteral__: 0 data: '0.43292934330201703421095312834' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '5.1806950683378316869089731408003300946' prec: 130 tamagawa_product: 8 torsion_generators: - - 789 - 0 - 1 xcoord_integral_points: - -583 - 677 - 789 - 793 - 889 - - id: 84512 iwdata: '11': - 3 - 0 '13': - 2 - 0 '17': - 2 - 0 '19': - 2 - 2 - 0 '2': a '23': - 2 - 0 '29': - 2 - 0 '3': - 2 - 0 '31': - 2 - 0 '37': - 2 - 0 '41': - 2 - 0 '43': - 2 - 0 '47': - 2 - 0 '5': - 4 - 0 '7': a iwp0: 0 lmfdb_label: 12936.d1 - - degree: 2 field: - -154 - 0 - 1 id: 667127 lmfdb_label: 12936.d1 torsion: - 4 - degree: 2 field: - -22 - 0 - 1 id: 667126 lmfdb_label: 12936.d1 torsion: - 2 - 2 - degree: 2 field: - -7 - 0 - 1 id: 667128 lmfdb_label: 12936.d1 torsion: - 4 - degree: 4 field: - 225 - 0 - -58 - 0 - 1 id: 667129 lmfdb_label: 12936.d1 torsion: - 2 - 4 - degree: 4 field: - 550 - 0 - -88 - 0 - 1 id: 667130 lmfdb_label: 12936.d1 torsion: - 8 - degree: 8 field: - -368122 - -135092 - -25462 - -6722 - 848 - -158 - 58 - -4 - 1 id: 667134 lmfdb_label: 12936.d1 torsion: - 6 - degree: 8 field: - 49 - 0 - 21 - 0 - 4 - 0 - -3 - 0 - 1 id: 667132 lmfdb_label: 12936.d1 torsion: - 8 - degree: 8 field: - 1089 - 0 - -2420 - 0 - 1056 - 0 - -132 - 0 - 1 id: 667133 lmfdb_label: 12936.d1 torsion: - 2 - 8 - degree: 8 field: - 7672 - -1792 - 1640 - 296 - -127 - -28 - 14 - -4 - 1 id: 667131 lmfdb_label: 12936.d1 torsion: - 2 - 4 - degree: 16 field: - 3364 - -8816 - 11552 - -16632 - 42112 - -56920 - 45672 - -21284 - 2325 - 3508 - -2136 - 668 - 10 - -84 - 32 - -8 - 1 id: 667136 lmfdb_label: 12936.d1 torsion: - 2 - 8 - degree: 16 field: - 272484 - 0 - 521424 - 0 - 330196 - 0 - 46512 - 0 - -4627 - 0 - 12 - 0 - 158 - 0 - -12 - 0 - 1 id: 667135 lmfdb_label: 12936.d1 torsion: - 4 - 4 - degree: 16 field: - 628605184 - 0 - -271514624 - 0 - 24327424 - 0 - -4955520 - 0 - 254304 - 0 - -28992 - 0 - 928 - 0 - -56 - 0 - 1 id: 667140 lmfdb_label: 12936.d1 torsion: - 12 - degree: 16 field: - 88889844736 - 0 - -8080894976 - 0 - 183656704 - 0 - -60821376 - 0 - -6992832 - 0 - 118272 - 0 - 7744 - 0 - -176 - 0 - 1 id: 667138 lmfdb_label: 12936.d1 torsion: - 2 - 6 - degree: 16 field: - 105478800625 - 0 - -31981631000 - 0 - -1190106148 - 0 - -762943720 - 0 - 103353404 - 0 - 166936 - 0 - -12628 - 0 - -88 - 0 - 1 id: 667137 lmfdb_label: 12936.d1 torsion: - 16 - degree: 16 field: - 5083735221796 - 0 - -2912630526344 - 0 - 360549910204 - 0 - -17874456864 - 0 - 472106184 - 0 - -7340388 - 0 - 68728 - 0 - -374 - 0 - 1 id: 667139 lmfdb_label: 12936.d1 torsion: - 12 - - conductor: 12936 conductor_valuation: 3 discriminant_valuation: 11 id: 280997 j_denominator_valuation: 0 kodaira_symbol: -2 lmfdb_label: 12936.d1 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 1 - conductor: 12936 conductor_valuation: 1 discriminant_valuation: 4 id: 280998 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 12936.d1 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 12936 conductor_valuation: 2 discriminant_valuation: 10 id: 280999 j_denominator_valuation: 4 kodaira_symbol: -8 lmfdb_label: 12936.d1 prime: 7 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 12936 conductor_valuation: 1 discriminant_valuation: 1 id: 281000 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 12936.d1 prime: 11 reduction_type: 1 root_number: -1 tamagawa_number: 1 - - adelic_gens: - - 232 - 547 - 81 - 110 - - 456 - 3 - 285 - 2 - - 1 - 0 - 8 - 1 - - 1 - 8 - 0 - 1 - - 80 - 393 - 105 - 152 - - 1 - 4 - 4 - 17 - - 609 - 8 - 608 - 9 - - 263 - 608 - 436 - 583 - - 7 - 6 - 610 - 611 adelic_image: 616.48.0.? conductor: 12936 id: 1749798 lmfdb_label: 12936.d1 prime: 0 - conductor: 12936 elladic_image: 8.12.0.6 id: 61422 lmfdb_label: 12936.d1 modell_image: 2B prime: 2 - - id: 568354 lmfdb_iso: 12936.d p: 5 prec: 20 unit: 2532363629087 val: 3 - id: 568359 lmfdb_iso: 12936.d p: 13 prec: 20 unit: 392771904185609902104 val: 2 - id: 568361 lmfdb_iso: 12936.d p: 17 prec: 20 unit: 226858177709473873692139 val: 2 - id: 568365 lmfdb_iso: 12936.d p: 23 prec: 20 unit: 16249223410650055571384322 val: 2 - id: 568358 lmfdb_iso: 12936.d p: 29 prec: 20 unit: 3555095643637989468413687999 val: 2 - id: 568355 lmfdb_iso: 12936.d p: 31 prec: 20 unit: 13252796356611482348434573643 val: 2 - id: 568369 lmfdb_iso: 12936.d p: 37 prec: 20 unit: 453589479962379820256693402126 val: 2 - id: 568356 lmfdb_iso: 12936.d p: 41 prec: 20 unit: 3175534357591856006881458705326 val: 2 - id: 568357 lmfdb_iso: 12936.d p: 43 prec: 20 unit: 3112776402481820389484571036645 val: 2 - id: 568367 lmfdb_iso: 12936.d p: 47 prec: 20 unit: 636131930622733743740574395360 val: 2 - id: 568362 lmfdb_iso: 12936.d p: 53 prec: 20 unit: 9683051164566717328034399345969 val: 2 - id: 568363 lmfdb_iso: 12936.d p: 59 prec: 20 unit: 2221065940098064212479857185568996 val: 2 - id: 568368 lmfdb_iso: 12936.d p: 61 prec: 20 unit: 4278338493337469477099120524288413 val: 2 - id: 568353 lmfdb_iso: 12936.d p: 67 prec: 20 unit: 16124967581893497076506238411137443 val: 2 - id: 568364 lmfdb_iso: 12936.d p: 73 prec: 20 unit: 209984711434294543775753603508618212 val: 2 - id: 568360 lmfdb_iso: 12936.d p: 79 prec: 20 unit: 615370433067665941789780259451426710 val: 2 - id: 568366 lmfdb_iso: 12936.d p: 89 prec: 20 unit: 2489994079036444662398474178167503871 val: 2 - id: 568352 lmfdb_iso: 12936.d p: 97 prec: 20 unit: 12752560364135244514175656399688890892 val: 2 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 12936.d1 - 12936.d - 12936.d1 - 12936.d1 - 12936.d1 - 12936.d1 - 12936.d1 - 12936.d tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-17T10:23:29.380161'