Elliptic curve data - 47096.k1

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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': '47096f', 'Clabel': '47096f1', 'Cnumber': 1, 'abc_quality': 0.7669064519652171, 'absD': 10139580416, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 56, 'ainvs': [0, 1, 0, -280, -5264], 'analytic_rank': 1, 'bad_primes': [2, 7, 29], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 47096, 'degree': 19680, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.60514489771856699478823921528', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1], 'jinv': [-1682, 7], 'lmfdb_iso': '47096.k', 'lmfdb_label': '47096.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -280, -5264], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['56.2.0.b.1'], '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': '4.9249661058870287817775123302', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1526719611235408812386475735', 'prec': 103}, 'szpiro_ratio': 2.8461702542553877, '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, 1, 0, -2, 0, 4, 0, -5, 0, 1, 0, 4, 0, -1, 0], 'aplist': [0, 1, 1, 1, 4, -5, 4, -1, -1, 0, -4, -10, -6, 8, 4, 8, 7, 2, 0, 5, -2, 3, 0, -12, 4], 'class_deg': 1, 'class_size': 1, 'conductor': 47096, 'isogeny_matrix': [[1]], 'lmfdb_iso': '47096.k', 'trace_hash': 1096971166620060368}
• 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': '0.29811087573924516898003814959', 'prec': 103}, 'conductor': 47096, 'gens': [[829, 6931, 6]], 'heights': [{'__RealLiteral__': 0, 'data': '4.9249661058870287817775123302', 'prec': 100}], 'lmfdb_label': '47096.k1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.53135278585250577439620603928', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.8506833817767190476407815087123573608', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': 'a', '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '47096.k1'}
• ec_torsion_growth •

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

  
  
  • id: 2300079
    {'degree': 3, 'field': [-58, 29, 0, 1], 'lmfdb_label': '47096.k1', 'torsion': [2]}
  • id: 2300080
    {'degree': 6, 'field': [686, 0, 221, 0, 24, 0, 1], 'lmfdb_label': '47096.k1', 'torsion': [2, 2]}
  • id: 2300081
    {'degree': 8, 'field': [-243, 0, 680, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '47096.k1', 'torsion': [3]}
  • id: 2300082
    {'degree': 12, 'field': [-8, 48, -38, -250, 717, -840, 488, -102, -25, 4, 12, -6, 1], 'lmfdb_label': '47096.k1', '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: 1125007
    {'conductor': 47096, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '47096.k1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1125008
    {'conductor': 47096, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '47096.k1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1125009
    {'conductor': 47096, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '47096.k1', 'prime': 29, '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

  
  {'adelic_gens': [[1, 2, 0, 1], [17, 2, 17, 3], [1, 0, 2, 1], [55, 2, 54, 3], [1, 1, 55, 0], [15, 2, 0, 1], [29, 2, 29, 3]], 'adelic_image': '56.2.0.?', 'conductor': 47096, 'lmfdb_label': '47096.k1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2362546
    {'lmfdb_iso': '47096.k', 'p': 5, 'prec': 20, 'unit': 94974658788094, 'val': -1}
  • id: 2362545
    {'lmfdb_iso': '47096.k', 'p': 11, 'prec': 20, 'unit': 54014181706099288763, 'val': 1}
  • id: 2362551
    {'lmfdb_iso': '47096.k', 'p': 13, 'prec': 20, 'unit': 1274780843315296469478, 'val': 1}
  • id: 2362553
    {'lmfdb_iso': '47096.k', 'p': 17, 'prec': 20, 'unit': 88621563250019115305671, 'val': 1}
  • id: 2362554
    {'lmfdb_iso': '47096.k', 'p': 19, 'prec': 20, 'unit': 750817153702992361929163, 'val': 1}
  • id: 2362558
    {'lmfdb_iso': '47096.k', 'p': 23, 'prec': 20, 'unit': 4726906062799916138481375, 'val': 1}
  • id: 2362548
    {'lmfdb_iso': '47096.k', 'p': 31, 'prec': 20, 'unit': 13695574006796313926478679631, 'val': 1}
  • id: 2362562
    {'lmfdb_iso': '47096.k', 'p': 37, 'prec': 20, 'unit': 236026966880181312504187902631, 'val': 1}
  • id: 2362549
    {'lmfdb_iso': '47096.k', 'p': 41, 'prec': 20, 'unit': 3701566722421740199085291305209, 'val': 1}
  • id: 2362550
    {'lmfdb_iso': '47096.k', 'p': 43, 'prec': 20, 'unit': 1680086715939747816526478130997, 'val': 1}
  • id: 2362560
    {'lmfdb_iso': '47096.k', 'p': 47, 'prec': 20, 'unit': 24415971248991507748172604426668, 'val': 1}
  • id: 2362555
    {'lmfdb_iso': '47096.k', 'p': 53, 'prec': 20, 'unit': 283872306193103101730166981561754, 'val': 1}
  • id: 2362556
    {'lmfdb_iso': '47096.k', 'p': 59, 'prec': 20, 'unit': 2952038896242056161093368199676445, 'val': 1}
  • id: 2362561
    {'lmfdb_iso': '47096.k', 'p': 61, 'prec': 20, 'unit': 2045485630126884979061646991098391, 'val': 1}
  • id: 2362547
    {'lmfdb_iso': '47096.k', 'p': 71, 'prec': 20, 'unit': 32281648206603779749973512708470571, 'val': 1}
  • id: 2362557
    {'lmfdb_iso': '47096.k', 'p': 73, 'prec': 20, 'unit': 67853015804687342600549696407558599, 'val': 1}
  • id: 2362552
    {'lmfdb_iso': '47096.k', 'p': 79, 'prec': 20, 'unit': 716735865610240069154099246007553269, 'val': 1}
  • id: 2362559
    {'lmfdb_iso': '47096.k', 'p': 89, 'prec': 20, 'unit': 3911319957230135601391645531323203482, 'val': 1}
  • id: 2362544
    {'lmfdb_iso': '47096.k', 'p': 97, 'prec': 20, 'unit': 15834655437451613924958454779605850521, 'val': 1}