Elliptic curve data - 17424.bf1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '17424bd', 'Clabel': '17424bd4', 'Cnumber': 4, 'abc_quality': 1.0492563620983195, 'absD': 1106044742460506112, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 132, 'ainvs': [0, 0, 0, -17854155, -29037311622], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 17424, 'degree': 552960, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7214599971814730423823595756', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4406910829875, 7744], 'lmfdb_iso': '17424.bf', 'lmfdb_label': '17424.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -9222, -338572], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.48.0-12.h.1.6', '44.6.0.e.1', '66.24.0-6.a.1.3', '132.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '17.551183183002972601015683820', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 363], [3, 2, 1936], [11, 72, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0054059637212601923877217374675', 'prec': 110}, 'szpiro_ratio': 6.318794459378081, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -6, 0, 2, 0], 'aplist': [0, 0, 0, 2, 0, -2, -6, 2, 0, -6, 4, 2, 6, -10, 12, 12, 12, 10, -8, 12, -14, 2, 12, 0, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 17424, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '17424.bf', 'trace_hash': 1647523657869653972}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.0043268304860703832451811159929', 'prec': 110}, 'conductor': 17424, 'gens': [[-1079880689, 15058731934, 665]], 'heights': [{'__RealLiteral__': 0, 'data': '17.551183183002972601015683820', 'prec': 100}], 'lmfdb_label': '17424.bf1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.073445429568037018888917025394', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1562167532118424168125804899502789273', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-2442, 0, 1]], 'xcoord_integral_points': [-2442]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '17424.bf1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 890341
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '17424.bf1', 'torsion': [2, 2]}
  • id: 890342
    {'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '17424.bf1', 'torsion': [6]}
  • id: 890343
    {'degree': 4, 'field': [16, -4, 0, -1, 1], 'lmfdb_label': '17424.bf1', 'torsion': [4]}
  • id: 890344
    {'degree': 4, 'field': [33, 0, 1, -2, 1], 'lmfdb_label': '17424.bf1', 'torsion': [2, 6]}
  • id: 890345
    {'degree': 6, 'field': [-11, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '17424.bf1', 'torsion': [6]}
  • id: 890348
    {'degree': 8, 'field': [1, 0, 13, 0, 36, 0, 13, 0, 1], 'lmfdb_label': '17424.bf1', 'torsion': [12]}
  • id: 890346
    {'degree': 8, 'field': [4, -16, -40, -16, -14, -20, -4, -2, 1], 'lmfdb_label': '17424.bf1', 'torsion': [2, 4]}
  • id: 890347
    {'degree': 8, 'field': [16, 0, 4, 0, 0, 0, 1, 0, 1], 'lmfdb_label': '17424.bf1', 'torsion': [2, 4]}
  • id: 890349
    {'degree': 12, 'field': [100, 60, 186, -490, 255, -60, 119, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '17424.bf1', 'torsion': [3, 6]}
  • id: 890350
    {'degree': 12, 'field': [4096, 0, -6144, 0, 3840, 0, -1291, 0, 240, 0, -24, 0, 1], 'lmfdb_label': '17424.bf1', 'torsion': [2, 6]}
  • id: 890352
    {'degree': 16, 'field': [16, 96, 240, 0, -104, 96, 516, -600, 369, 90, -210, 150, -26, -18, 18, -6, 1], 'lmfdb_label': '17424.bf1', 'torsion': [2, 12]}
  • id: 890353
    {'degree': 16, 'field': [256, 0, -64, 0, 16, 0, 32, 0, -20, 0, 8, 0, 1, 0, -1, 0, 1], 'lmfdb_label': '17424.bf1', 'torsion': [2, 12]}
  • id: 890351
    {'degree': 16, 'field': [65536, 0, -100864, 0, 85328, 0, -40558, 0, 12289, 0, -2462, 0, 323, 0, -26, 0, 1], 'lmfdb_label': '17424.bf1', 'torsion': [8]}
  • id: 890354
    {'degree': 18, 'field': [111395656, -146585376, 150198528, -84548376, 29432328, -1740312, -2688138, 1357248, 911868, -512354, 336978, -2622, 2667, 6996, -549, 138, 33, -6, 1], 'lmfdb_label': '17424.bf1', 'torsion': [18]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 388706
    {'conductor': 17424, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '17424.bf1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 388707
    {'conductor': 17424, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '17424.bf1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 388708
    {'conductor': 17424, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '17424.bf1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1779929
    {'adelic_gens': [[1, 12, 0, 1], [121, 12, 120, 13], [76, 121, 123, 32], [119, 120, 54, 59], [1, 6, 6, 37], [1, 0, 12, 1], [54, 131, 55, 10], [11, 2, 82, 123]], 'adelic_image': '132.96.1.?', 'conductor': 17424, 'lmfdb_label': '17424.bf1', 'prime': 0}
  • id: 81450
    {'conductor': 17424, 'elladic_image': '2.3.0.1', 'lmfdb_label': '17424.bf1', 'modell_image': '2B', 'prime': 2}
  • id: 81451
    {'conductor': 17424, 'elladic_image': '3.4.0.1', 'lmfdb_label': '17424.bf1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 795664
    {'lmfdb_iso': '17424.bf', 'p': 7, 'prec': 20, 'unit': 10884076245781411, 'val': 1}
  • id: 795668
    {'lmfdb_iso': '17424.bf', 'p': 13, 'prec': 20, 'unit': 1047796796349337807545, 'val': 1}
  • id: 795670
    {'lmfdb_iso': '17424.bf', 'p': 17, 'prec': 20, 'unit': 162260517788623203494778, 'val': 1}
  • id: 795671
    {'lmfdb_iso': '17424.bf', 'p': 19, 'prec': 20, 'unit': 1884189226405416799044948, 'val': 1}
  • id: 795667
    {'lmfdb_iso': '17424.bf', 'p': 29, 'prec': 20, 'unit': 2331276474086087763713669126, 'val': 1}
  • id: 795678
    {'lmfdb_iso': '17424.bf', 'p': 31, 'prec': 20, 'unit': 9589699568731895695952737049, 'val': 1}
  • id: 795663
    {'lmfdb_iso': '17424.bf', 'p': 37, 'prec': 20, 'unit': 21753073887298713281592141582, 'val': 1}
  • id: 795665
    {'lmfdb_iso': '17424.bf', 'p': 41, 'prec': 20, 'unit': 742022475202241282282582399444, 'val': 1}
  • id: 795666
    {'lmfdb_iso': '17424.bf', 'p': 43, 'prec': 20, 'unit': 3260460835073458023142366607628, 'val': 1}
  • id: 795676
    {'lmfdb_iso': '17424.bf', 'p': 47, 'prec': 20, 'unit': 392084509593296551543428968080, 'val': 1}
  • id: 795672
    {'lmfdb_iso': '17424.bf', 'p': 53, 'prec': 20, 'unit': 454627277508663067404787086410424, 'val': 1}
  • id: 795673
    {'lmfdb_iso': '17424.bf', 'p': 59, 'prec': 20, 'unit': 462848758453041474354212091677006, 'val': 1}
  • id: 795677
    {'lmfdb_iso': '17424.bf', 'p': 61, 'prec': 20, 'unit': 62237648179626955301188456941469, 'val': 1}
  • id: 795662
    {'lmfdb_iso': '17424.bf', 'p': 67, 'prec': 20, 'unit': 30170444101509850604568136502198893, 'val': 1}
  • id: 795675
    {'lmfdb_iso': '17424.bf', 'p': 71, 'prec': 20, 'unit': 148674122817311983944393659966208350, 'val': 1}
  • id: 795674
    {'lmfdb_iso': '17424.bf', 'p': 73, 'prec': 20, 'unit': 98621476362466150204556159742696145, 'val': 1}
  • id: 795669
    {'lmfdb_iso': '17424.bf', 'p': 79, 'prec': 20, 'unit': 168535853388900858694605377233324737, 'val': 1}
  • id: 795661
    {'lmfdb_iso': '17424.bf', 'p': 83, 'prec': 20, 'unit': 1549671686558071649562750131839874409, 'val': 1}
  • id: 795660
    {'lmfdb_iso': '17424.bf', 'p': 97, 'prec': 20, 'unit': 52983114823400643219844108828114026613, 'val': 1}