Elliptic curve data - 7938.k2

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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': '7938n', 'Clabel': '7938n1', 'Cnumber': 1, 'abc_quality': 0.9590511261765029, 'absD': 2592487296, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 504, 'ainvs': [1, -1, 0, 201, 2141], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 7938, 'degree': 4032, 'elladic_images': ['7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.48976404652873128364007911265', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 7], 'jinv': [44217, 128], 'lmfdb_iso': '7938.k', 'lmfdb_label': '7938.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 201, 2141], 'min_quad_twist_disc': 1, 'modell_images': ['7B'], 'modm_images': ['7.8.0.a.1', '21.16.0-7.a.1.1', '56.16.0.d.1', '63.48.0-63.c.2.1', '168.32.0.?', '504.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.56926373558637559601707923070', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91222373129185511879896343731', 'prec': 107}, 'szpiro_ratio': 3.2193151367986594, '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, -1, 0, 1, 1, 0, 0, -1, 0, -1, 2, 0, -2, 0, 0, 1, 0, 0, 7, 1], 'aplist': [-1, 0, 1, 0, 2, -2, 0, 7, -3, 8, -4, -6, -12, -8, -8, -4, 4, -13, -2, 5, 14, -11, 12, 14, 2], 'class_deg': 7, 'class_size': 2, 'conductor': 7938, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '7938.k', 'trace_hash': 452604351807044083}
• 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': '0.37548825256130404601341289200', 'prec': 103}, 'conductor': 7938, 'gens': [[-5, 34, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.56926373558637559601707923070', 'prec': 103}], 'lmfdb_label': '7938.k2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0147974486894636738156256505', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4661243190269244294900023972298171331', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [-5, 31]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': [3, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 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': '7938.k2'}
• ec_torsion_growth •

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

  
  
  • id: 415236
    {'degree': 3, 'field': [-26, -3, 0, 1], 'lmfdb_label': '7938.k2', 'torsion': [2]}
  • id: 415238
    {'degree': 6, 'field': [28, 84, 63, -14, -21, 0, 1], 'lmfdb_label': '7938.k2', 'torsion': [7]}
  • id: 415237
    {'degree': 6, 'field': [224, 0, 36, 0, 12, 0, 1], 'lmfdb_label': '7938.k2', 'torsion': [2, 2]}
  • id: 415239
    {'degree': 8, 'field': [8, 26, 65, -38, -29, -38, -5, -2, 1], 'lmfdb_label': '7938.k2', 'torsion': [3]}
  • id: 415240
    {'degree': 12, 'field': [-253034, -595038, -502065, -224884, -91161, -22194, -1827, -2664, 783, -118, 39, 0, 1], 'lmfdb_label': '7938.k2', 'torsion': [4]}
  • id: 415241
    {'degree': 18, 'field': [-944, -7476, -9891, 20266, -28182, -29106, 63253, 8526, -56070, 1352, 24696, -882, -5690, 126, 693, -6, -42, 0, 1], 'lmfdb_label': '7938.k2', 'torsion': [14]}
• 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: 164256
    {'conductor': 7938, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '7938.k2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 164257
    {'conductor': 7938, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '7938.k2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 164258
    {'conductor': 7938, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '7938.k2', 'prime': 7, '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: 1716391
    {'adelic_gens': [[495, 494, 182, 395], [1, 14, 0, 1], [12, 133, 35, 16], [8, 7, 245, 498], [1, 0, 14, 1], [8, 5, 91, 57], [491, 14, 490, 15], [127, 14, 0, 1]], 'adelic_image': '504.96.2.?', 'conductor': 7938, 'lmfdb_label': '7938.k2', 'prime': 0}
  • id: 38853
    {'conductor': 7938, 'elladic_image': '7.8.0.1', 'lmfdb_label': '7938.k2', 'modell_image': '7B', 'prime': 7}
• ec_padic •

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

  
  
  • id: 326003
    {'lmfdb_iso': '7938.k', 'p': 5, 'prec': 20, 'unit': 36929134550428, 'val': 0}
  • id: 326002
    {'lmfdb_iso': '7938.k', 'p': 11, 'prec': 20, 'unit': 40231296449590806852, 'val': 1}
  • id: 326009
    {'lmfdb_iso': '7938.k', 'p': 13, 'prec': 20, 'unit': 373508413444591576785, 'val': 1}
  • id: 326012
    {'lmfdb_iso': '7938.k', 'p': 19, 'prec': 20, 'unit': 1114516151506247314466228, 'val': 1}
  • id: 326015
    {'lmfdb_iso': '7938.k', 'p': 23, 'prec': 20, 'unit': 30377356229736221574112789, 'val': 1}
  • id: 326008
    {'lmfdb_iso': '7938.k', 'p': 29, 'prec': 20, 'unit': 5275861634180957834577893985, 'val': 1}
  • id: 326005
    {'lmfdb_iso': '7938.k', 'p': 31, 'prec': 20, 'unit': 4100013918312227929383090443, 'val': 1}
  • id: 326020
    {'lmfdb_iso': '7938.k', 'p': 37, 'prec': 20, 'unit': 447907973753484931565387906105, 'val': 1}
  • id: 326006
    {'lmfdb_iso': '7938.k', 'p': 41, 'prec': 20, 'unit': 3379079030008360793074003913185, 'val': 1}
  • id: 326007
    {'lmfdb_iso': '7938.k', 'p': 43, 'prec': 20, 'unit': 3146183749194744271801980216610, 'val': 1}
  • id: 326017
    {'lmfdb_iso': '7938.k', 'p': 47, 'prec': 20, 'unit': 32599716820835356368044541657566, 'val': 1}
  • id: 326013
    {'lmfdb_iso': '7938.k', 'p': 53, 'prec': 20, 'unit': 258743342496928346786874592528657, 'val': 1}
  • id: 326011
    {'lmfdb_iso': '7938.k', 'p': 59, 'prec': 20, 'unit': 4386872365051311340850707427281569, 'val': 1}
  • id: 326018
    {'lmfdb_iso': '7938.k', 'p': 61, 'prec': 20, 'unit': 7535003235992360477484196288152688, 'val': 1}
  • id: 326001
    {'lmfdb_iso': '7938.k', 'p': 67, 'prec': 20, 'unit': 25130941556274588222796446841488893, 'val': 1}
  • id: 326004
    {'lmfdb_iso': '7938.k', 'p': 71, 'prec': 20, 'unit': 172642569625645655529629028050567, 'val': 2}
  • id: 326014
    {'lmfdb_iso': '7938.k', 'p': 73, 'prec': 20, 'unit': 222152465777470561502189564161929379, 'val': 1}
  • id: 326010
    {'lmfdb_iso': '7938.k', 'p': 79, 'prec': 20, 'unit': 902786965416345483718430603620671010, 'val': 1}
  • id: 326019
    {'lmfdb_iso': '7938.k', 'p': 83, 'prec': 20, 'unit': 277346668357538017597934845100461931, 'val': 1}
  • id: 326016
    {'lmfdb_iso': '7938.k', 'p': 89, 'prec': 20, 'unit': 3153523452081773936520684123086237518, 'val': 1}
  • id: 326000
    {'lmfdb_iso': '7938.k', 'p': 97, 'prec': 20, 'unit': 32525431791296143670873608022325736554, 'val': 1}