Elliptic curve data - 97600.cp1

Formats: - HTML - YAML - JSON - 2024-04-28T00:23:50.620254

• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '97600cg', 'Clabel': '97600cg1', 'Cnumber': 1, 'abc_quality': 0.7952962431864462, 'absD': 249856000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 244, 'ainvs': [0, -1, 0, -3233, -73663], 'analytic_rank': 1, 'bad_primes': [2, 5, 61], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 97600, 'degree': 110592, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93898118412457158476302216008', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 67, 'isogeny_degrees': [1], 'jinv': [-912673, 61], 'lmfdb_iso': '97600.cp', 'lmfdb_label': '97600.cp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2, 1], 'min_quad_twist_disc': -40, 'modell_images': [], 'modm_images': ['244.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.9032837116164984160708358689', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90545854293239656666320568872', 'prec': 107}, 'szpiro_ratio': 3.1306342084318888, '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, 2, 0, 0, 0, 1, 0, 1, 0, -5, 0, 1, 0, 0, 0, -4, 0, -4, 0], 'aplist': [0, 2, 0, 1, -5, 1, -4, -4, -9, 6, 0, 8, 5, 8, 4, 6, 9, 1, 7, 8, 11, -3, -4, -4, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 97600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '97600.cp', 'trace_hash': 693834357881251868}
• 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': '0.15290134518922806672188668412', 'prec': 103}, 'conductor': 97600, 'gens': [[7669, 669664, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '6.9032837116164984160708358689', 'prec': 100}], 'lmfdb_label': '97600.cp1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.31534406068927298642696794120', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.7076380708450510142635768578250769554', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [5, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '61': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '97600.cp1'}
• ec_torsion_growth •

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

  
  
  • id: 4542261
    {'degree': 3, 'field': [-6, 1, 0, 1], 'lmfdb_label': '97600.cp1', 'torsion': [2]}
  • id: 4542262
    {'degree': 6, 'field': [16, 8, 54, 6, 3, -2, 1], 'lmfdb_label': '97600.cp1', 'torsion': [2, 2]}
  • id: 4542263
    {'degree': 8, 'field': [-270000, 0, 9000, 0, -1800, 0, 0, 0, 1], 'lmfdb_label': '97600.cp1', 'torsion': [3]}
  • id: 4542264
    {'degree': 12, 'field': [-12661856, -9275232, 251644, 1280200, 182580, -110616, -28120, 2976, 2200, 180, -9, -2, 1], 'lmfdb_label': '97600.cp1', 'torsion': [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: 2395340
    {'conductor': 97600, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '97600.cp1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2395341
    {'conductor': 97600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '97600.cp1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2395342
    {'conductor': 97600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '97600.cp1', 'prime': 61, 'reduction_type': 1, '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

  
  {'adelic_gens': [[1, 2, 0, 1], [1, 0, 2, 1], [123, 2, 123, 3], [243, 2, 242, 3], [1, 1, 243, 0], [185, 2, 185, 3]], 'adelic_image': '244.2.0.?', 'conductor': 97600, 'lmfdb_label': '97600.cp1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 5079477
    {'lmfdb_iso': '97600.cp', 'p': 7, 'prec': 20, 'unit': 79425727262677471, 'val': -1}
  • id: 5079482
    {'lmfdb_iso': '97600.cp', 'p': 11, 'prec': 20, 'unit': 4856213618125046213, 'val': 1}
  • id: 5079480
    {'lmfdb_iso': '97600.cp', 'p': 13, 'prec': 20, 'unit': 2532597868278658199611, 'val': -1}
  • id: 5079483
    {'lmfdb_iso': '97600.cp', 'p': 17, 'prec': 20, 'unit': 13156397869383888260493, 'val': 2}
  • id: 5079484
    {'lmfdb_iso': '97600.cp', 'p': 19, 'prec': 20, 'unit': 1146448838307401593907764, 'val': 1}
  • id: 5079488
    {'lmfdb_iso': '97600.cp', 'p': 23, 'prec': 20, 'unit': 48248578297165981968784132, 'val': 1}
  • id: 5079492
    {'lmfdb_iso': '97600.cp', 'p': 29, 'prec': 20, 'unit': 4611521656582718397043099520, 'val': 1}
  • id: 5079476
    {'lmfdb_iso': '97600.cp', 'p': 37, 'prec': 20, 'unit': 147749446090138661376192993901, 'val': 1}
  • id: 5079478
    {'lmfdb_iso': '97600.cp', 'p': 41, 'prec': 20, 'unit': 942490725004893566339713005363, 'val': 1}
  • id: 5079479
    {'lmfdb_iso': '97600.cp', 'p': 43, 'prec': 20, 'unit': 3962365755675392292340765473487, 'val': 1}
  • id: 5079491
    {'lmfdb_iso': '97600.cp', 'p': 47, 'prec': 20, 'unit': 2329488525953757428510594537304, 'val': 1}
  • id: 5079485
    {'lmfdb_iso': '97600.cp', 'p': 53, 'prec': 20, 'unit': 139831191440071013347875884507463, 'val': 1}
  • id: 5079486
    {'lmfdb_iso': '97600.cp', 'p': 59, 'prec': 20, 'unit': 2420291770695220532713199552421966, 'val': 1}
  • id: 5079475
    {'lmfdb_iso': '97600.cp', 'p': 67, 'prec': 20, 'unit': 2983575294061344478145358389260787, 'val': 1}
  • id: 5079490
    {'lmfdb_iso': '97600.cp', 'p': 71, 'prec': 20, 'unit': 1795835864163680837765378521561630, 'val': 2}
  • id: 5079487
    {'lmfdb_iso': '97600.cp', 'p': 73, 'prec': 20, 'unit': 248302905600465883152524901297595134, 'val': 1}
  • id: 5079481
    {'lmfdb_iso': '97600.cp', 'p': 79, 'prec': 20, 'unit': 1059617519109239454007026146752008439, 'val': 1}
  • id: 5079474
    {'lmfdb_iso': '97600.cp', 'p': 83, 'prec': 20, 'unit': 2785980261491733626552785903331223659, 'val': 1}
  • id: 5079489
    {'lmfdb_iso': '97600.cp', 'p': 89, 'prec': 20, 'unit': 2202924917801013330473196427415423779, 'val': 1}
  • id: 5079473
    {'lmfdb_iso': '97600.cp', 'p': 97, 'prec': 20, 'unit': 18160917007123132565257662956387347133, 'val': 1}