Elliptic curve data - 3136.u1

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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': '3136a', 'Clabel': '3136a1', 'Cnumber': 1, 'abc_quality': 0.8374478418484275, 'absD': 2458624, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 1, 0, -65, 167], 'analytic_rank': 1, 'bad_primes': [2, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 3136, 'degree': 384, 'elladic_images': ['8.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.030299957354087853822091243635', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1], 'jinv': [12544, 1], 'lmfdb_iso': '3136.u', 'lmfdb_label': '3136.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -16, 29], 'min_quad_twist_disc': 8, 'modell_images': ['2Cn'], 'modm_images': ['2.2.0.a.1', '8.4.0-2.a.1.1', '14.6.0.a.1', '56.12.0-14.a.1.2'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.53600102649260083719576840118', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [7, 20, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2565593241724800467049022593', 'prec': 103}, 'szpiro_ratio': 3.0, '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, 1, 0, 1, 0, 0, 0, -2, 0, -3, 0, 6, 0, 1, 0, -5, 0, -1, 0], 'aplist': [0, 1, 1, 0, -3, 6, -5, -1, -7, -2, -5, -3, -2, 4, 5, 1, -15, 5, 9, 0, 7, 1, -12, 7, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 3136, 'isogeny_matrix': [[1]], 'lmfdb_iso': '3136.u', 'trace_hash': 912546985504933990}
• 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': '1.0624737490217688850521101362', 'prec': 100}, 'conductor': 3136, 'gens': [[2, 7, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.53600102649260083719576840118', 'prec': 103}], 'lmfdb_label': '3136.u1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.5180913209907911481359761075', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0490985985595198544241898457679196177', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': [2]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3136.u1'}
• ec_torsion_growth •

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

  
  
  • id: 162230
    {'degree': 3, 'field': [1, -2, -1, 1], 'lmfdb_label': '3136.u1', 'torsion': [2, 2]}
  • id: 162231
    {'degree': 8, 'field': [-243, 0, -144, 0, -18, 0, 6, 0, 1], 'lmfdb_label': '3136.u1', 'torsion': [3]}
  • id: 162232
    {'degree': 12, 'field': [1, 0, -2, 0, -5, 0, 4, 0, -5, 0, -2, 0, 1], 'lmfdb_label': '3136.u1', 'torsion': [2, 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: 56232
    {'conductor': 3136, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3136.u1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 56233
    {'conductor': 3136, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '3136.u1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1684319
    {'adelic_gens': [[27, 0, 0, 55], [3, 2, 48, 51], [1, 4, 0, 1], [33, 55, 45, 0], [15, 4, 14, 1], [53, 54, 36, 33], [1, 0, 4, 1], [53, 4, 52, 5], [31, 52, 32, 51], [1, 2, 2, 5]], 'adelic_image': '56.12.0.?', 'conductor': 3136, 'lmfdb_label': '3136.u1', 'prime': 0}
  • id: 15634
    {'conductor': 3136, 'elladic_image': '8.4.0.1', 'lmfdb_label': '3136.u1', 'modell_image': '2Cn', 'prime': 2}
• ec_padic •

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

  
  
  • id: 102361
    {'lmfdb_iso': '3136.u', 'p': 5, 'prec': 20, 'unit': 5074388562137, 'val': -1}
  • id: 102360
    {'lmfdb_iso': '3136.u', 'p': 11, 'prec': 20, 'unit': 61111118701670707891, 'val': 1}
  • id: 102366
    {'lmfdb_iso': '3136.u', 'p': 13, 'prec': 20, 'unit': 1240254707259215322530, 'val': 1}
  • id: 102368
    {'lmfdb_iso': '3136.u', 'p': 17, 'prec': 20, 'unit': 85243022253978277120894, 'val': 1}
  • id: 102369
    {'lmfdb_iso': '3136.u', 'p': 19, 'prec': 20, 'unit': 795372591840738063915131, 'val': 1}
  • id: 102373
    {'lmfdb_iso': '3136.u', 'p': 23, 'prec': 20, 'unit': 1978502866129943878388718, 'val': 2}
  • id: 102365
    {'lmfdb_iso': '3136.u', 'p': 29, 'prec': 20, 'unit': 5299558497560288232414124628, 'val': 1}
  • id: 102362
    {'lmfdb_iso': '3136.u', 'p': 31, 'prec': 20, 'unit': 19354055347962328221916864031, 'val': 1}
  • id: 102378
    {'lmfdb_iso': '3136.u', 'p': 37, 'prec': 20, 'unit': 255585942224598941770543485592, 'val': 1}
  • id: 102363
    {'lmfdb_iso': '3136.u', 'p': 41, 'prec': 20, 'unit': 535047350275728384919013013293, 'val': 1}
  • id: 102364
    {'lmfdb_iso': '3136.u', 'p': 43, 'prec': 20, 'unit': 6737328860137930618434595829010, 'val': 1}
  • id: 102375
    {'lmfdb_iso': '3136.u', 'p': 47, 'prec': 20, 'unit': 56303419090510991480590349237105, 'val': 1}
  • id: 102370
    {'lmfdb_iso': '3136.u', 'p': 53, 'prec': 20, 'unit': 16027746299593003279216040552519475, 'val': -1}
  • id: 102371
    {'lmfdb_iso': '3136.u', 'p': 59, 'prec': 20, 'unit': 2070624253610780731465154465000465, 'val': 1}
  • id: 102376
    {'lmfdb_iso': '3136.u', 'p': 61, 'prec': 20, 'unit': 8028769580706062327174774394136490, 'val': 1}
  • id: 102359
    {'lmfdb_iso': '3136.u', 'p': 67, 'prec': 20, 'unit': 2035137622399038591983098746470996, 'val': 1}
  • id: 102372
    {'lmfdb_iso': '3136.u', 'p': 73, 'prec': 20, 'unit': 12734400077646721392583343616358014, 'val': 1}
  • id: 102367
    {'lmfdb_iso': '3136.u', 'p': 79, 'prec': 20, 'unit': 52764118258412420487959932043809612770, 'val': -1}
  • id: 102377
    {'lmfdb_iso': '3136.u', 'p': 83, 'prec': 20, 'unit': 1452159476515719998886815798565529619, 'val': 1}
  • id: 102374
    {'lmfdb_iso': '3136.u', 'p': 89, 'prec': 20, 'unit': 6476464722533443333605212974919632194, 'val': 1}
  • id: 102358
    {'lmfdb_iso': '3136.u', 'p': 97, 'prec': 20, 'unit': 11887569669928341895161967219323455390, 'val': 1}