data: - - Ciso: 675a Clabel: 675a2 Cnumber: 2 absD: 307546875 ainvs: - 0 - 0 - 1 - 0 - -844 analytic_rank: 1 bad_primes: - 3 - 5 class_deg: 27 class_size: 4 cm: -3 conductor: 675 degree: 144 elladic_images: - 27.972.55.16 faltings_height: __RealLiteral__: 0 data: '0.30756074429009454085694439845' prec: 103 faltings_index: 1 faltings_ratio: 3 id: 3173 iso_nlabel: 4 isogeny_degrees: - 1 - 3 - 9 jinv: - 0 - 1 lmfdb_iso: 675.e lmfdb_label: 675.e3 lmfdb_number: 3 manin_constant: 1 min_quad_twist_ainvs: - 0 - 0 - 1 - 0 - 0 min_quad_twist_disc: -15 modell_images: - 3Cs nonmax_primes: - 3 nonmax_rad: 3 num_bad_primes: 2 num_int_pts: 4 optimality: 0 potential_good_reduction: true rank: 1 regulator: __RealLiteral__: 0 data: '1.2167732609229170786542795935' prec: 100 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '-1.3211174284280379149898691959' prec: 103 szpiro_ratio: 4.14428990242478 torsion: 1 torsion_primes: [] torsion_structure: [] - - anlist: - 0 - 1 - 0 - 0 - -2 - 0 - 0 - 1 - 0 - 0 - 0 - 0 - 0 - -5 - 0 - 0 - 4 - 0 - 0 - -7 - 0 aplist: - 0 - 0 - 0 - 1 - 0 - -5 - 0 - -7 - 0 - 0 - -4 - -11 - 0 - -8 - 0 - 0 - 0 - -1 - -5 - 0 - 7 - 17 - 0 - 0 - 19 class_deg: 27 class_size: 4 conductor: 675 id: 1445 isogeny_matrix: - - 1 - 27 - 3 - 9 - - 27 - 1 - 9 - 3 - - 3 - 9 - 1 - 3 - - 9 - 3 - 3 - 1 lmfdb_iso: 675.e trace_hash: 1896385657987878097 - - area: __RealLiteral__: 0 data: '0.54057521760417964272308686803' prec: 103 conductor: 675 gens: - - 10 - 12 - 1 heights: - __RealLiteral__: 0 data: '1.2167732609229170786542795935' prec: 100 id: 3173 lmfdb_label: 675.e3 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.79006486746470842065100100801' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '1.9226596102513311187457582055667422606' prec: 130 tamagawa_product: 2 torsion_generators: [] xcoord_integral_points: - 10 - 124 - - id: 3173 iwdata: '11': - 3 - 1 - 0 '13': - 1 - 0 '17': - 1 - 1 - 0 '19': - 1 - 0 '2': - 2 - 7 - 0 '23': - 1 - 1 - 0 '29': - 1 - 1 - 0 '3': a '31': - 1 - 0 '37': - 1 - 0 '41': - 1 - 1 - 0 '43': - 1 - 0 '47': - 1 - 1 - 0 '5': a '7': - 3 - 0 iwp0: 0 lmfdb_label: 675.e3 - - degree: 2 field: - -1 - -1 - 1 id: 31220 lmfdb_label: 675.e3 torsion: - 3 - degree: 2 field: - 4 - -1 - 1 id: 31221 lmfdb_label: 675.e3 torsion: - 3 - degree: 3 field: - -2 - 0 - 0 - 1 id: 31222 lmfdb_label: 675.e3 torsion: - 2 - degree: 4 field: - 1 - 1 - 2 - -1 - 1 id: 31223 lmfdb_label: 675.e3 torsion: - 3 - 3 - degree: 6 field: - -4 - 0 - 0 - -8 - 0 - 0 - 1 id: 31226 lmfdb_label: 675.e3 torsion: - 6 - degree: 6 field: - 1 - -3 - 0 - 5 - 0 - -3 - 1 id: 31224 lmfdb_label: 675.e3 torsion: - 2 - 2 - degree: 6 field: - 4 - 12 - 18 - 5 - -3 - -3 - 1 id: 31227 lmfdb_label: 675.e3 torsion: - 6 - degree: 6 field: - 19 - -12 - 9 - -4 - 6 - 0 - 1 id: 31225 lmfdb_label: 675.e3 torsion: - 9 - degree: 12 field: - 1 - 0 - 0 - 4 - 0 - 0 - 17 - 0 - 0 - -4 - 0 - 0 - 1 id: 31229 lmfdb_label: 675.e3 torsion: - 3 - 9 - degree: 12 field: - 1 - 3 - -9 - -20 - 45 - 33 - -70 - -33 - 45 - 20 - -9 - -3 - 1 id: 31231 lmfdb_label: 675.e3 torsion: - 6 - 6 - degree: 12 field: - 46 - -1056 - 492 - -3844 - 5550 - -3768 - 1476 - -300 - 42 - -22 - 18 - -6 - 1 id: 31228 lmfdb_label: 675.e3 torsion: - 4 - degree: 12 field: - 2401 - 0 - 0 - -203 - 0 - 0 - 168 - 0 - 0 - -8 - 0 - 0 - 1 id: 31230 lmfdb_label: 675.e3 torsion: - 7 - degree: 18 field: - -1 - 0 - 0 - 24 - 0 - 0 - -18 - 0 - 0 - -148 - 0 - 0 - -117 - 0 - 0 - -12 - 0 - 0 - 1 id: 31232 lmfdb_label: 675.e3 torsion: - 9 - degree: 18 field: - 1536 - 0 - 1152 - -1728 - 1440 - -1440 - 912 - -324 - -162 - -135 - 558 - -747 - 723 - -549 - 330 - -144 - 45 - -9 - 1 id: 31233 lmfdb_label: 675.e3 torsion: - 18 - - conductor: 675 conductor_valuation: 3 discriminant_valuation: 9 id: 8276 j_denominator_valuation: 0 kodaira_symbol: -4 lmfdb_label: 675.e3 prime: 3 reduction_type: 0 root_number: 1 tamagawa_number: 1 - conductor: 675 conductor_valuation: 2 discriminant_valuation: 6 id: 8277 j_denominator_valuation: 0 kodaira_symbol: -1 lmfdb_label: 675.e3 prime: 5 reduction_type: 0 root_number: 1 tamagawa_number: 2 - - conductor: 675 elladic_image: 27.972.55.16 id: 3108 lmfdb_label: 675.e3 modell_image: 3Cs prime: 3 - - id: 12202 lmfdb_iso: 675.e p: 7 prec: 20 unit: 40583320032632046 val: 0 - id: 12205 lmfdb_iso: 675.e p: 13 prec: 20 unit: 1175909810038434637470 val: 1 - id: 12207 lmfdb_iso: 675.e p: 19 prec: 20 unit: 1311937034380217404088128 val: 1 - id: 12209 lmfdb_iso: 675.e p: 31 prec: 20 unit: 16302933945655840652895334717 val: 1 - id: 12201 lmfdb_iso: 675.e p: 37 prec: 20 unit: 96814967712926685340794563304 val: 1 - id: 12204 lmfdb_iso: 675.e p: 43 prec: 20 unit: 5461280021849685848268045176561 val: 1 - id: 12208 lmfdb_iso: 675.e p: 61 prec: 20 unit: 1660339836024182663332564441625755 val: 1 - id: 12200 lmfdb_iso: 675.e p: 67 prec: 20 unit: 17120359774519417154793083726901645 val: 1 - id: 12203 lmfdb_iso: 675.e p: 73 prec: 20 unit: 98643558825776988917732514904306514 val: 1 - id: 12206 lmfdb_iso: 675.e p: 79 prec: 20 unit: 595660124067450065238371593376628667 val: 1 - id: 12199 lmfdb_iso: 675.e p: 97 prec: 20 unit: 32984493958242211259718025245797501779 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 675.e3 - 675.e - 675.e3 - 675.e3 - 675.e3 - 675.e3 - 675.e3 - 675.e tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-12T08:17:52.737651'