Elliptic curve data - 47096.d1

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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': '47096c', 'Clabel': '47096c1', 'Cnumber': 1, 'abc_quality': 0.7793542771350787, 'absD': 13523903026256, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 812, 'ainvs': [0, 1, 0, -6167, -60770], 'analytic_rank': 1, 'bad_primes': [2, 7, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 47096, 'degree': 94080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2114756645015625120296211441', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [2725888, 1421], 'lmfdb_iso': '47096.d', 'lmfdb_label': '47096.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -7, 0], 'min_quad_twist_disc': 29, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '58.6.0.a.1', '812.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9961149860099452903539469274', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.70322131067832293803442557923', 'prec': 107}, 'szpiro_ratio': 3.5125341532793404, '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, -2, 0, 2, 0, -1, 0, 1, 0, 0, 0, 6, 0, -4, 0, -4, 0, -2, 0], 'aplist': [0, -2, 2, -1, 0, 6, -4, -2, 0, 0, 10, -2, 0, -12, -6, 6, -4, -4, 4, -8, 4, 8, 0, 4, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 47096, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '47096.d', 'trace_hash': 1952873936245308096}
• 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': '0.088659567398957594528223620629', 'prec': 107}, 'conductor': 47096, 'gens': [[165, 1855, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.9961149860099452903539469274', 'prec': 100}], 'lmfdb_label': '47096.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.57055044017512038278242650330', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5599703285167386315600494509154025211', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-10, 0, 1]], 'xcoord_integral_points': [-10, 165]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': 'a', '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '47096.d1'}
• ec_torsion_growth •

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

  
  
  • id: 2300004
    {'degree': 2, 'field': [-7, -1, 1], 'lmfdb_label': '47096.d1', 'torsion': [2, 2]}
  • id: 2300005
    {'degree': 4, 'field': [2, -1, 2, -2, 1], 'lmfdb_label': '47096.d1', 'torsion': [4]}
  • id: 2300008
    {'degree': 8, 'field': [-2523, 0, -232, 0, -174, 0, 0, 0, 1], 'lmfdb_label': '47096.d1', 'torsion': [6]}
  • id: 2300006
    {'degree': 8, 'field': [49, 0, -102, 0, -245, 0, -2, 0, 1], 'lmfdb_label': '47096.d1', 'torsion': [2, 4]}
  • id: 2300007
    {'degree': 8, 'field': [196, -98, 49, -70, 16, 6, 2, -2, 1], 'lmfdb_label': '47096.d1', 'torsion': [2, 4]}
  • id: 2300010
    {'degree': 16, 'field': [21609, 0, -59976, 0, -190610, 0, -2352, 0, 1383, 0, -288, 0, -90, 0, 0, 0, 1], 'lmfdb_label': '47096.d1', 'torsion': [2, 6]}
  • id: 2300009
    {'degree': 16, 'field': [149972, -1015184, 3145612, -4416428, 2647513, -669584, 464980, -216812, 67884, -11900, 5350, -1880, 556, -140, 40, -8, 1], 'lmfdb_label': '47096.d1', 'torsion': [8]}
• 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: 1124983
    {'conductor': 47096, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '47096.d1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1124984
    {'conductor': 47096, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '47096.d1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1124985
    {'conductor': 47096, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '47096.d1', 'prime': 29, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1978103
    {'adelic_gens': [[205, 610, 608, 203], [1, 2, 2, 5], [1, 4, 0, 1], [758, 1, 27, 0], [1, 0, 4, 1], [465, 4, 118, 9], [3, 4, 8, 11], [809, 4, 808, 5]], 'adelic_image': '812.12.0.?', 'conductor': 47096, 'lmfdb_label': '47096.d1', 'prime': 0}
  • id: 203909
    {'conductor': 47096, 'elladic_image': '2.3.0.1', 'lmfdb_label': '47096.d1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2362523
    {'lmfdb_iso': '47096.d', 'p': 5, 'prec': 20, 'unit': 3543939692098, 'val': 1}
  • id: 2362514
    {'lmfdb_iso': '47096.d', 'p': 13, 'prec': 20, 'unit': 294528618931657477671, 'val': 1}
  • id: 2362516
    {'lmfdb_iso': '47096.d', 'p': 17, 'prec': 20, 'unit': 106484354470850621516643, 'val': 1}
  • id: 2362517
    {'lmfdb_iso': '47096.d', 'p': 19, 'prec': 20, 'unit': 15261481934859700416870, 'val': 1}
  • id: 2362511
    {'lmfdb_iso': '47096.d', 'p': 31, 'prec': 20, 'unit': 4225626373585768978320893962, 'val': 1}
  • id: 2362509
    {'lmfdb_iso': '47096.d', 'p': 37, 'prec': 20, 'unit': 107124521057085300346147239646, 'val': 1}
  • id: 2362513
    {'lmfdb_iso': '47096.d', 'p': 43, 'prec': 20, 'unit': 2361907765235438905678229431269, 'val': 1}
  • id: 2362521
    {'lmfdb_iso': '47096.d', 'p': 47, 'prec': 20, 'unit': 41704428462770323361151195067054, 'val': 1}
  • id: 2362518
    {'lmfdb_iso': '47096.d', 'p': 53, 'prec': 20, 'unit': 307592768408774725190723685534697, 'val': 1}
  • id: 2362519
    {'lmfdb_iso': '47096.d', 'p': 59, 'prec': 20, 'unit': 1911626411062950984888784266131830, 'val': 1}
  • id: 2362522
    {'lmfdb_iso': '47096.d', 'p': 61, 'prec': 20, 'unit': 182198358905466623727991627212772, 'val': 1}
  • id: 2362508
    {'lmfdb_iso': '47096.d', 'p': 67, 'prec': 20, 'unit': 1090246836464406625300626657595519, 'val': 1}
  • id: 2362510
    {'lmfdb_iso': '47096.d', 'p': 71, 'prec': 20, 'unit': 17509769248779506762839735593261847, 'val': 1}
  • id: 2362512
    {'lmfdb_iso': '47096.d', 'p': 73, 'prec': 20, 'unit': 695529787458240464541039147913888, 'val': 2}
  • id: 2362515
    {'lmfdb_iso': '47096.d', 'p': 79, 'prec': 20, 'unit': 458386969158400842232187880192626261, 'val': 1}
  • id: 2362520
    {'lmfdb_iso': '47096.d', 'p': 89, 'prec': 20, 'unit': 9749001833251428849805557171026145458, 'val': 1}
  • id: 2362507
    {'lmfdb_iso': '47096.d', 'p': 97, 'prec': 20, 'unit': 32550102271327017045022898012396586815, 'val': 1}