data: - - Ciso: 235200qp Clabel: 235200qp1 Cnumber: 1 abc_quality: 0.9168589311212159 absD: 12711386205000000 adelic_genus: 0 adelic_index: 48 adelic_level: 280 ainvs: - 0 - 1 - 0 - 53492 - 2615738 analytic_rank: 1 bad_primes: - 2 - 3 - 5 - 7 class_deg: 4 class_size: 4 cm: 0 conductor: 235200 degree: 1179648 elladic_images: - 8.12.0.14 faltings_height: __RealLiteral__: 0 data: '1.7782903204095300589188752439' prec: 100 faltings_index: 0 faltings_ratio: 1 id: 1499006 iso_nlabel: 431 isogeny_degrees: - 1 - 2 - 4 jinv: - 143877824 - 108045 lmfdb_iso: 235200.qp lmfdb_label: 235200.qp4 lmfdb_number: 4 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - 175 - -543 min_quad_twist_disc: -280 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.12.0-4.c.1.1 - 20.12.0.h.1 - 40.24.0-20.h.1.4 - 56.24.0-56.y.1.12 - 280.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 3 optimality: 1 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '4.0749845069394410701686987219' prec: 100 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '-0.34595730061514943564279685517' prec: 107 szpiro_ratio: 3.5797833921907287 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 1 - 0 - 0 - 0 - 0 - 0 - 1 - 0 - -4 - 0 - 2 - 0 - 0 - 0 - -2 - 0 - 0 - 0 aplist: - 0 - 1 - 0 - 0 - -4 - 2 - -2 - 0 - 0 - -6 - -8 - 2 - 6 - 4 - 0 - -6 - 8 - -2 - 4 - -4 - -10 - 12 - -4 - 6 - -2 class_deg: 4 class_size: 4 conductor: 235200 id: 1031420 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 235200.qp trace_hash: 1444659479470228687 - - area: __RealLiteral__: 0 data: '0.028536233713835769073861785432' prec: 107 conductor: 235200 gens: - - 353 - 8100 - 1 heights: - __RealLiteral__: 0 data: '4.0749845069394410701686987219' prec: 100 id: 1499006 lmfdb_label: 235200.qp4 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.25539445617055929562002773257' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '8.3258276164260261138072777519731992547' prec: 130 tamagawa_product: 32 torsion_generators: - - -47 - 0 - 1 xcoord_integral_points: - -47 - 353 - [] - - degree: 2 field: - -14 - 0 - 1 id: 10175914 lmfdb_label: 235200.qp4 torsion: - 4 - degree: 2 field: - 5 - 0 - 1 id: 10175913 lmfdb_label: 235200.qp4 torsion: - 2 - 2 - degree: 2 field: - 70 - 0 - 1 id: 10175915 lmfdb_label: 235200.qp4 torsion: - 4 - degree: 4 field: - 361 - 0 - -18 - 0 - 1 id: 10175916 lmfdb_label: 235200.qp4 torsion: - 2 - 4 - degree: 8 field: - -14700 - 0 - -5320 - 0 - -420 - 0 - 0 - 0 - 1 id: 10175920 lmfdb_label: 235200.qp4 torsion: - 6 - degree: 8 field: - 1129 - -2252 - 1612 - -524 - 228 - 44 - -20 - -4 - 1 id: 10175919 lmfdb_label: 235200.qp4 torsion: - 2 - 8 - degree: 8 field: - 3131 - -16 - 42 - -28 - -45 - 68 - -18 - -4 - 1 id: 10175918 lmfdb_label: 235200.qp4 torsion: - 8 - degree: 8 field: - 3721 - 0 - 164 - 0 - 606 - 0 - 44 - 0 - 1 id: 10175917 lmfdb_label: 235200.qp4 torsion: - 2 - 4 - degree: 16 field: - 40905 - -218700 - 570780 - -851580 - 791176 - -424080 - 101592 - 63284 - -47071 - 13016 - 4604 - -3172 - -78 - 252 - -16 - -8 - 1 id: 10175922 lmfdb_label: 235200.qp4 torsion: - 2 - 8 - degree: 16 field: - 366025 - 0 - 716400 - 0 - 331690 - 0 - -10260 - 0 - 9591 - 0 - 3996 - 0 - 466 - 0 - 36 - 0 - 1 id: 10175921 lmfdb_label: 235200.qp4 torsion: - 4 - 4 - degree: 16 field: - 3515625 - 0 - 306150000 - 0 - -159717500 - 0 - 24492000 - 0 - 18750 - 0 - -163280 - 0 - -300 - 0 - 0 - 0 - 1 id: 10175924 lmfdb_label: 235200.qp4 torsion: - 12 - degree: 16 field: - 4100625 - 0 - 67797000 - 0 - 28746900 - 0 - 18951800 - 0 - 1239350 - 0 - 4760 - 0 - -140 - 0 - 40 - 0 - 1 id: 10175923 lmfdb_label: 235200.qp4 torsion: - 2 - 6 - degree: 16 field: - 8113505625 - 0 - 2352348000 - 0 - 262873900 - 0 - -4622400 - 0 - 4227150 - 0 - -1440 - 0 - 3900 - 0 - 0 - 0 - 1 id: 10175925 lmfdb_label: 235200.qp4 torsion: - 12 - - conductor: 235200 conductor_valuation: 6 discriminant_valuation: 6 id: 5830659 j_denominator_valuation: 0 kodaira_symbol: 2 lmfdb_label: 235200.qp4 prime: 2 reduction_type: 0 root_number: 1 tamagawa_number: 1 - conductor: 235200 conductor_valuation: 1 discriminant_valuation: 2 id: 5830660 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 235200.qp4 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 2 - conductor: 235200 conductor_valuation: 2 discriminant_valuation: 7 id: 5830661 j_denominator_valuation: 1 kodaira_symbol: -5 lmfdb_label: 235200.qp4 prime: 5 reduction_type: 0 root_number: 1 tamagawa_number: 4 - conductor: 235200 conductor_valuation: 2 discriminant_valuation: 10 id: 5830662 j_denominator_valuation: 4 kodaira_symbol: -8 lmfdb_label: 235200.qp4 prime: 7 reduction_type: 0 root_number: -1 tamagawa_number: 4 - - adelic_gens: - - 273 - 8 - 272 - 9 - - 237 - 242 - 30 - 173 - - 1 - 0 - 8 - 1 - - 1 - 8 - 0 - 1 - - 1 - 4 - 4 - 17 - - 39 - 272 - 156 - 247 - - 32 - 167 - 183 - 196 - - 104 - 277 - 275 - 278 - - 7 - 6 - 274 - 275 adelic_image: 280.48.0.? conductor: 235200 id: 3161362 lmfdb_label: 235200.qp4 prime: 0 - conductor: 235200 elladic_image: 8.12.0.14 id: 855226 lmfdb_label: 235200.qp4 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 235200.qp4 - 235200.qp - 235200.qp4 - 235200.qp4 - 235200.qp4 - 235200.qp4 - 235200.qp4 - 235200.qp tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-12T03:53:21.483645'