Elliptic curve data - 10192.y1

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

  
  {'Ciso': '10192v', 'Clabel': '10192v1', 'Cnumber': 1, 'abc_quality': 0.9960228151086609, 'absD': 10565931061559164928, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 728, 'ainvs': [0, 1, 0, -3613080, 2646827924], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 10192, 'degree': 354816, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5372691972410312128236788433', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1], 'jinv': [-10824513276632329, 21926008832], 'lmfdb_iso': '10192.y', 'lmfdb_label': '10192.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4609, 120244], 'min_quad_twist_disc': 28, 'modell_images': [], 'modm_images': ['728.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0312984711568629869353031264', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.87116694215342925085377035012', 'prec': 103}, 'szpiro_ratio': 6.166984587799403, '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, -4, 0, 0, 0, -2, 0, 1, 0, -1, 0, -4, 0, -4, 0, 2, 0], 'aplist': [0, 1, -4, 0, 1, -1, -4, 2, 7, -8, 3, 7, 7, 8, 3, 0, -6, 13, -7, -4, -9, 13, -16, 6, -11], 'class_deg': 1, 'class_size': 1, 'conductor': 10192, 'isogeny_matrix': [[1]], 'lmfdb_iso': '10192.y', 'trace_hash': 1347309842489076969}
• 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': '0.0062539726417143544176461569673', 'prec': 110}, 'conductor': 10192, 'gens': [[-2084, 33614, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0312984711568629869353031264', 'prec': 100}], 'lmfdb_label': '10192.y1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.22847491936981292211526528249', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7128060353087082443274548296686634516', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [-2084, 23767]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [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': '10192.y1'}
• ec_torsion_growth •

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

  
  
  • id: 528247
    {'degree': 3, 'field': [-2, 6, -1, 1], 'lmfdb_label': '10192.y1', 'torsion': [2]}
  • id: 528248
    {'degree': 6, 'field': [728, -728, 218, 12, -11, -2, 1], 'lmfdb_label': '10192.y1', 'torsion': [2, 2]}
  • id: 528249
    {'degree': 8, 'field': [-190512, 0, -27216, 0, -756, 0, 21, 0, 1], 'lmfdb_label': '10192.y1', 'torsion': [3]}
  • id: 528250
    {'degree': 12, 'field': [-88486, 58346, 19353, -43957, 15569, 3648, -2378, -394, 224, 46, -11, -5, 1], 'lmfdb_label': '10192.y1', '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: 215940
    {'conductor': 10192, 'conductor_valuation': 4, 'discriminant_valuation': 23, 'j_denominator_valuation': 11, 'kodaira_symbol': -19, 'lmfdb_label': '10192.y1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 215941
    {'conductor': 10192, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '10192.y1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 215942
    {'conductor': 10192, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10192.y1', 'prime': 13, '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': [[183, 2, 0, 1], [561, 2, 561, 3], [521, 2, 521, 3], [1, 0, 2, 1], [1, 2, 0, 1], [727, 2, 726, 3], [1, 1, 727, 0], [365, 2, 365, 3]], 'adelic_image': '728.2.0.?', 'conductor': 10192, 'lmfdb_label': '10192.y1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 432418
    {'lmfdb_iso': '10192.y', 'p': 5, 'prec': 20, 'unit': 29778342759524, 'val': -1}
  • id: 432425
    {'lmfdb_iso': '10192.y', 'p': 11, 'prec': 20, 'unit': 44621007417118529182, 'val': -1}
  • id: 432426
    {'lmfdb_iso': '10192.y', 'p': 17, 'prec': 20, 'unit': 230141520772662433799956, 'val': 1}
  • id: 432427
    {'lmfdb_iso': '10192.y', 'p': 19, 'prec': 20, 'unit': 1320468138424105845356828, 'val': 1}
  • id: 432430
    {'lmfdb_iso': '10192.y', 'p': 23, 'prec': 20, 'unit': 64643656705281578705671087, 'val': 1}
  • id: 432423
    {'lmfdb_iso': '10192.y', 'p': 29, 'prec': 20, 'unit': 793926798456848898958544406, 'val': 1}
  • id: 432420
    {'lmfdb_iso': '10192.y', 'p': 31, 'prec': 20, 'unit': 13567315309246175833340771388, 'val': 1}
  • id: 432434
    {'lmfdb_iso': '10192.y', 'p': 37, 'prec': 20, 'unit': 412877538370738816910501060331, 'val': 1}
  • id: 432421
    {'lmfdb_iso': '10192.y', 'p': 41, 'prec': 20, 'unit': 3756219532628238901887630217996, 'val': 1}
  • id: 432422
    {'lmfdb_iso': '10192.y', 'p': 43, 'prec': 20, 'unit': 5532215426865349495189873981632, 'val': 1}
  • id: 432432
    {'lmfdb_iso': '10192.y', 'p': 47, 'prec': 20, 'unit': 10139742470681453835698297239523, 'val': 1}
  • id: 432428
    {'lmfdb_iso': '10192.y', 'p': 59, 'prec': 20, 'unit': 2424811859462205459645478583079673, 'val': 1}
  • id: 432433
    {'lmfdb_iso': '10192.y', 'p': 61, 'prec': 20, 'unit': 782453690873147783768907895738322, 'val': 1}
  • id: 432417
    {'lmfdb_iso': '10192.y', 'p': 67, 'prec': 20, 'unit': 3466200450780605140382852973882724, 'val': 1}
  • id: 432419
    {'lmfdb_iso': '10192.y', 'p': 71, 'prec': 20, 'unit': 52183379130097380051694436396168131, 'val': 1}
  • id: 432429
    {'lmfdb_iso': '10192.y', 'p': 73, 'prec': 20, 'unit': 172710304002033405933165672021063877, 'val': 1}
  • id: 432424
    {'lmfdb_iso': '10192.y', 'p': 79, 'prec': 20, 'unit': 958490890230491654549780766110194486, 'val': 1}
  • id: 432416
    {'lmfdb_iso': '10192.y', 'p': 83, 'prec': 20, 'unit': 1768931965507571058850318503308425714, 'val': 1}
  • id: 432431
    {'lmfdb_iso': '10192.y', 'p': 89, 'prec': 20, 'unit': 5560478230583186323636717730360284555, 'val': 1}
  • id: 432415
    {'lmfdb_iso': '10192.y', 'p': 97, 'prec': 20, 'unit': 3591557490825838858104413043981718440, 'val': 1}