data: - - Ciso: 3136y Clabel: 3136y5 Cnumber: 5 abc_quality: 1.0293250379726038 absD: 56593444029595648 adelic_genus: 21 adelic_index: 864 adelic_level: 504 ainvs: - 0 - -1 - 0 - -534753 - -150770815 analytic_rank: 1 bad_primes: - 2 - 7 class_deg: 18 class_size: 6 cm: 0 conductor: 3136 degree: 27648 elladic_images: - 8.6.0.1 - 9.12.0.1 faltings_height: __RealLiteral__: 0 data: '2.0792032355106864195506908480' prec: 100 faltings_index: 4 faltings_ratio: 9 id: 18667 iso_nlabel: 25 isogeny_degrees: - 1 - 2 - 3 - 6 - 9 - 18 jinv: - -548347731625 - 1835008 lmfdb_iso: 3136.z lmfdb_label: 3136.z2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 1 - -171 - -874 min_quad_twist_disc: 56 modell_images: - 2B - 3B modm_images: - 2.3.0.a.1 - 3.4.0.a.1 - 6.12.0.a.1 - 8.6.0.c.1 - 9.12.0.a.1 - 12.24.0-6.a.1.6 - 14.6.0.b.1 - 18.36.0.a.1 - 24.48.0-24.bw.1.8 - 36.72.0-18.a.1.12 - 42.24.0.b.1 - 56.12.0.n.1 - 63.36.0.d.1 - 72.144.1.? - 84.48.0.? - 126.216.7.? - 168.96.1.? - 252.432.7.? - 504.864.21.? nonmax_primes: - 2 - 3 nonmax_rad: 6 num_bad_primes: 2 num_int_pts: 1 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '12.630510675241429084552570167' prec: 100 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '0.066527390143111802872166294089' prec: 107 szpiro_ratio: 6.358208614373078 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 2 - 0 - 0 - 0 - 0 - 0 - 1 - 0 - 0 - 0 - -4 - 0 - 0 - 0 - -6 - 0 - -2 - 0 aplist: - 0 - 2 - 0 - 0 - 0 - -4 - -6 - -2 - 0 - 6 - -4 - -2 - -6 - 8 - -12 - -6 - 6 - 8 - -4 - 0 - -2 - -8 - 6 - 6 - 10 class_deg: 18 class_size: 6 conductor: 3136 id: 9990 isogeny_matrix: - - 1 - 2 - 3 - 9 - 18 - 6 - - 2 - 1 - 6 - 18 - 9 - 3 - - 3 - 6 - 1 - 3 - 6 - 2 - - 9 - 18 - 3 - 1 - 2 - 6 - - 18 - 9 - 6 - 2 - 1 - 3 - - 6 - 3 - 2 - 6 - 3 - 1 lmfdb_iso: 3136.z trace_hash: 1452702164727856560 - - area: __RealLiteral__: 0 data: '0.015632448842750096348201517672' prec: 107 conductor: 3136 gens: - - 5179019 - 8831271372 - 65 heights: - __RealLiteral__: 0 data: '12.630510675241429084552570167' prec: 100 id: 18667 lmfdb_label: 3136.z2 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.088255985305271234546711476890' prec: 107 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '4.4588726582087160938048192561379793737' prec: 130 tamagawa_product: 16 torsion_generators: - - 845 - 0 - 1 xcoord_integral_points: - 845 - - id: 18667 iwdata: '11': - 1 - 1 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': a '23': - 1 - 1 - 0 '29': - 1 - 0 '3': - 7 - 2 '31': - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 0 '5': - 1 - 1 - 0 '7': a iwp0: 0 lmfdb_label: 3136.z2 - - degree: 2 field: - 2 - -1 - 1 id: 162882 lmfdb_label: 3136.z2 torsion: - 2 - 2 - degree: 2 field: - 42 - 0 - 1 id: 162883 lmfdb_label: 3136.z2 torsion: - 6 - degree: 4 field: - -2 - -4 - -2 - 0 - 1 id: 162884 lmfdb_label: 3136.z2 torsion: - 4 - degree: 4 field: - 58 - 8 - -7 - -2 - 1 id: 162885 lmfdb_label: 3136.z2 torsion: - 2 - 6 - degree: 6 field: - -56 - 0 - 0 - 0 - 0 - 0 - 1 id: 162886 lmfdb_label: 3136.z2 torsion: - 6 - degree: 6 field: - 10752 - 0 - 1764 - 0 - 84 - 0 - 1 id: 162887 lmfdb_label: 3136.z2 torsion: - 18 - degree: 8 field: - 1 - 0 - 2 - 0 - 10 - 0 - 2 - 0 - 1 id: 162889 lmfdb_label: 3136.z2 torsion: - 2 - 4 - degree: 8 field: - 46 - -32 - 37 - -12 - 12 - -10 - 8 - -4 - 1 id: 162888 lmfdb_label: 3136.z2 torsion: - 2 - 4 - degree: 8 field: - 142 - 44 - -18 - -48 - 15 - 8 - 2 - -4 - 1 id: 162890 lmfdb_label: 3136.z2 torsion: - 12 - degree: 12 field: - 1 - 0 - 1032 - 0 - -180 - 0 - 174 - 0 - 60 - 0 - 12 - 0 - 1 id: 162893 lmfdb_label: 3136.z2 torsion: - 2 - 6 - degree: 12 field: - 3025 - 330 - 861 - -2290 - 930 - 210 - 29 - -126 - 90 - -50 - 21 - -6 - 1 id: 162891 lmfdb_label: 3136.z2 torsion: - 3 - 6 - degree: 12 field: - 150508 - 450744 - 349992 - 15652 - 20721 - -18396 - -652 - -420 - 666 - -28 - -36 - 0 - 1 id: 162894 lmfdb_label: 3136.z2 torsion: - 2 - 18 - degree: 12 field: - 153664 - 0 - 0 - 0 - 0 - 0 - -112 - 0 - 0 - 0 - 0 - 0 - 1 id: 162892 lmfdb_label: 3136.z2 torsion: - 18 - degree: 16 field: - 4 - 0 - -8 - 40 - 48 - -152 - 280 - -332 - 341 - -344 - 338 - -256 - 146 - -56 - 18 - -4 - 1 id: 162897 lmfdb_label: 3136.z2 torsion: - 2 - 12 - degree: 16 field: - 16 - 0 - -352 - 0 - 2488 - 0 - -2048 - 0 - 825 - 0 - -226 - 0 - 34 - 0 - -2 - 0 - 1 id: 162896 lmfdb_label: 3136.z2 torsion: - 2 - 12 - degree: 16 field: - 196 - 0 - 560 - 0 - -444 - 0 - -1104 - 0 - 493 - 0 - -156 - 0 - -18 - 0 - -4 - 0 - 1 id: 162895 lmfdb_label: 3136.z2 torsion: - 8 - - conductor: 3136 conductor_valuation: 6 discriminant_valuation: 36 id: 56350 j_denominator_valuation: 18 kodaira_symbol: -30 lmfdb_label: 3136.z2 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 3136 conductor_valuation: 2 discriminant_valuation: 7 id: 56351 j_denominator_valuation: 1 kodaira_symbol: -5 lmfdb_label: 3136.z2 prime: 7 reduction_type: 0 root_number: -1 tamagawa_number: 4 - - adelic_gens: - - 1 - 36 - 0 - 1 - - 1 - 0 - 36 - 1 - - 397 - 36 - 88 - 29 - - 469 - 36 - 468 - 37 - - 251 - 468 - 494 - 143 - - 19 - 36 - 216 - 91 - - 377 - 468 - 242 - 143 - - 212 - 495 - 281 - 326 - - 1 - 18 - 14 - 253 adelic_image: 504.864.21.? conductor: 3136 id: 1684329 lmfdb_label: 3136.z2 prime: 0 - conductor: 3136 elladic_image: 8.6.0.1 id: 15649 lmfdb_label: 3136.z2 modell_image: 2B prime: 2 - conductor: 3136 elladic_image: 9.12.0.1 id: 15650 lmfdb_label: 3136.z2 modell_image: 3B prime: 3 - - id: 102523 lmfdb_iso: 3136.z p: 13 prec: 20 unit: 1116250658723839308173 val: 1 - id: 102525 lmfdb_iso: 3136.z p: 17 prec: 20 unit: 213157132094933573568410 val: 1 - id: 102526 lmfdb_iso: 3136.z p: 19 prec: 20 unit: 480031886210037673117283 val: 1 - id: 102522 lmfdb_iso: 3136.z p: 29 prec: 20 unit: 4705188121303404101587165065 val: 1 - id: 102533 lmfdb_iso: 3136.z p: 31 prec: 20 unit: 8209862587365789792996094994 val: 1 - id: 102519 lmfdb_iso: 3136.z p: 37 prec: 20 unit: 311306743329725119908839094383 val: 1 - id: 102520 lmfdb_iso: 3136.z p: 41 prec: 20 unit: 4302964392254144701421844909840 val: 1 - id: 102521 lmfdb_iso: 3136.z p: 43 prec: 20 unit: 1922359821576919384055256163566 val: 1 - id: 102531 lmfdb_iso: 3136.z p: 47 prec: 20 unit: 43358881342982107494703195201987 val: 1 - id: 102527 lmfdb_iso: 3136.z p: 53 prec: 20 unit: 320659352860988232734745291821167 val: 1 - id: 102528 lmfdb_iso: 3136.z p: 59 prec: 20 unit: 1338962609279192990663377746929193 val: 1 - id: 102532 lmfdb_iso: 3136.z p: 61 prec: 20 unit: 2084736240707242969695629165762792 val: 1 - id: 102518 lmfdb_iso: 3136.z p: 67 prec: 20 unit: 18356101042962279608091580907563717 val: 1 - id: 102529 lmfdb_iso: 3136.z p: 73 prec: 20 unit: 158826165936958584248090775396572814 val: 1 - id: 102524 lmfdb_iso: 3136.z p: 79 prec: 20 unit: 48971604366337640338246179521477531 val: 1 - id: 102517 lmfdb_iso: 3136.z p: 83 prec: 20 unit: 2037341151124892104552573369743822459 val: 1 - id: 102530 lmfdb_iso: 3136.z p: 89 prec: 20 unit: 4346143358555812364462383789344371882 val: 1 - id: 102516 lmfdb_iso: 3136.z p: 97 prec: 20 unit: 20308948583924674590535585358060894262 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 3136.z2 - 3136.z - 3136.z2 - 3136.z2 - 3136.z2 - 3136.z2 - 3136.z2 - 3136.z tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-24T18:51:58.637420'