Elliptic curve data - 97344.r1

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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': '97344fw', 'Clabel': '97344fw1', 'Cnumber': 1, 'abc_quality': 0.8984900616019346, 'absD': 654002159616, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 312, 'ainvs': [0, 0, 0, 1716, 27664], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 97344, 'degree': 98304, 'elladic_images': ['4.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95349563768412883742250585426', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1], 'jinv': [69212, 81], 'lmfdb_iso': '97344.r', 'lmfdb_label': '97344.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 48, 144], 'min_quad_twist_disc': 24, 'modell_images': [], 'modm_images': ['4.8.0.b.1', '312.16.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1320910158442198625224042632', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1521], [3, 8, 10816], [13, 38, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.94749830697344254350700749974', 'prec': 107}, 'szpiro_ratio': 2.9582884461548264, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], 'aplist': [0, 0, -3, 0, 0, 0, 1, 0, 4, 3, 8, -5, 3, 4, 8, -13, 12, -15, -12, -8, -3, 4, 12, 10, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 97344, 'isogeny_matrix': [[1]], 'lmfdb_iso': '97344.r', 'trace_hash': 445369466508745841}
• 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': '0.14852659061800457202817767820', 'prec': 103}, 'conductor': 97344, 'gens': [[-4, 144, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1320910158442198625224042632', 'prec': 100}], 'lmfdb_label': '97344.r1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.60725326689048637214144466729', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1788769387170330100531510155894698512', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-4]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 1, 0], '11': [1, 1, 0], '13': 'a', '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '97344.r1'}
• ec_torsion_growth •

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

  
  
  • id: 4530666
    {'degree': 3, 'field': [12, -4, -1, 1], 'lmfdb_label': '97344.r1', 'torsion': [2]}
  • id: 4530668
    {'degree': 6, 'field': [-11232, 0, -351, 0, 0, 0, 1], 'lmfdb_label': '97344.r1', 'torsion': [4]}
  • id: 4530667
    {'degree': 6, 'field': [8, -20, 25, -6, 2, -2, 1], 'lmfdb_label': '97344.r1', 'torsion': [2, 2]}
  • id: 4530669
    {'degree': 6, 'field': [11232, 0, -351, 0, 0, 0, 1], 'lmfdb_label': '97344.r1', 'torsion': [4]}
  • id: 4530670
    {'degree': 8, 'field': [-2028, 0, 1560, 0, -1404, 0, 26, 0, 1], 'lmfdb_label': '97344.r1', 'torsion': [3]}
  • id: 4530671
    {'degree': 12, 'field': [1971216, 0, 0, 0, 109512, 0, 0, 0, 585, 0, 0, 0, 1], 'lmfdb_label': '97344.r1', 'torsion': [4, 4]}
• 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: 2388720
    {'conductor': 97344, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '97344.r1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2388721
    {'conductor': 97344, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '97344.r1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2388722
    {'conductor': 97344, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '97344.r1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2304620
    {'adelic_gens': [[155, 0, 0, 311], [309, 4, 308, 5], [1, 4, 0, 1], [103, 0, 0, 311], [19, 108, 120, 115], [1, 1, 1, 2], [1, 0, 4, 1], [263, 204, 264, 203], [1, 225, 0, 235]], 'adelic_image': '312.16.0.?', 'conductor': 97344, 'lmfdb_label': '97344.r1', 'prime': 0}
  • id: 392572
    {'conductor': 97344, 'elladic_image': '4.8.0.2', 'lmfdb_label': '97344.r1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5064648
    {'lmfdb_iso': '97344.r', 'p': 5, 'prec': 20, 'unit': 13478576455303, 'val': 1}
  • id: 5064639
    {'lmfdb_iso': '97344.r', 'p': 17, 'prec': 20, 'unit': 1070329483022532184918551, 'val': -1}
  • id: 5064644
    {'lmfdb_iso': '97344.r', 'p': 23, 'prec': 20, 'unit': 64394638209636701603629737, 'val': 1}
  • id: 5064637
    {'lmfdb_iso': '97344.r', 'p': 29, 'prec': 20, 'unit': 4135318175536576606275007870, 'val': 1}
  • id: 5064634
    {'lmfdb_iso': '97344.r', 'p': 31, 'prec': 20, 'unit': 15469163200853847322988574298, 'val': 1}
  • id: 5064632
    {'lmfdb_iso': '97344.r', 'p': 37, 'prec': 20, 'unit': 597594961129056714423754475679, 'val': 1}
  • id: 5064635
    {'lmfdb_iso': '97344.r', 'p': 41, 'prec': 20, 'unit': 2204618294274708647724865600371, 'val': 1}
  • id: 5064636
    {'lmfdb_iso': '97344.r', 'p': 43, 'prec': 20, 'unit': 1517341011221968120335577373050, 'val': 1}
  • id: 5064646
    {'lmfdb_iso': '97344.r', 'p': 47, 'prec': 20, 'unit': 2353667308190861634887352938169, 'val': 1}
  • id: 5064641
    {'lmfdb_iso': '97344.r', 'p': 53, 'prec': 20, 'unit': 228932659222115903484159463547088, 'val': 1}
  • id: 5064642
    {'lmfdb_iso': '97344.r', 'p': 59, 'prec': 20, 'unit': 2798979324569352126627230304349775, 'val': 1}
  • id: 5064647
    {'lmfdb_iso': '97344.r', 'p': 61, 'prec': 20, 'unit': 4258548827045916212322614696379374, 'val': 1}
  • id: 5064631
    {'lmfdb_iso': '97344.r', 'p': 67, 'prec': 20, 'unit': 12556578727615475220201768934261905, 'val': 1}
  • id: 5064633
    {'lmfdb_iso': '97344.r', 'p': 71, 'prec': 20, 'unit': 126539773225962737981118543873287963, 'val': 1}
  • id: 5064643
    {'lmfdb_iso': '97344.r', 'p': 73, 'prec': 20, 'unit': 168955103014622917560004742024129782, 'val': 1}
  • id: 5064638
    {'lmfdb_iso': '97344.r', 'p': 79, 'prec': 20, 'unit': 368032853677313738185202982263117163, 'val': 1}
  • id: 5064640
    {'lmfdb_iso': '97344.r', 'p': 83, 'prec': 20, 'unit': 2864117374296426056795168964534369454, 'val': 1}
  • id: 5064645
    {'lmfdb_iso': '97344.r', 'p': 89, 'prec': 20, 'unit': 120988615959549439032181455596372900, 'val': 2}
  • id: 5064630
    {'lmfdb_iso': '97344.r', 'p': 97, 'prec': 20, 'unit': 28519577090156183113647322849339700425, 'val': 1}