Elliptic curve data - 102550.e1

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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': '102550b', 'Clabel': '102550b1', 'Cnumber': 1, 'abc_quality': 0.8465007045184143, 'absD': 98489020000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 41020, 'ainvs': [1, 1, 0, -16375, -656875], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 293], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 102550, 'degree': 353280, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4008130514453660896775659353', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [31080575499121, 6303297280], 'lmfdb_iso': '102550.e', 'lmfdb_label': '102550.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -655, -5255], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['41020.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2268951386902743972695726114', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59609409522831590237718626869', 'prec': 103}, 'szpiro_ratio': 3.5295422374607046, '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, -1, 1, 0, 1, -1, -1, -2, 0, 0, -1, 4, 1, 0, 1, 5, 2, 6, 0], 'aplist': [-1, -1, 0, -1, 0, 4, 5, 6, 0, -2, -7, -4, 9, 11, 3, -14, 1, 10, 9, -12, 14, -1, 14, -15, 3], 'class_deg': 1, 'class_size': 1, 'conductor': 102550, 'isogeny_matrix': [[1]], 'lmfdb_iso': '102550.e', 'trace_hash': 2075941469894100521}
• 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': '0.060711259560343537710315186026', 'prec': 107}, 'conductor': 102550, 'gens': [[-50, 225, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2268951386902743972695726114', 'prec': 100}], 'lmfdb_label': '102550.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.42804068523713738758293945582', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2012882870327821109795987809495458993', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [-50, 605]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '293': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '102550.e1'}
• ec_torsion_growth •

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

  
  
  • id: 4751847
    {'degree': 3, 'field': [-20, -36, -1, 1], 'lmfdb_label': '102550.e1', 'torsion': [2]}
  • id: 4751848
    {'degree': 6, 'field': [-164080, 0, 11881, 0, -218, 0, 1], 'lmfdb_label': '102550.e1', 'torsion': [2, 2]}
  • id: 4751849
    {'degree': 8, 'field': [-27619279, 7042502, -2813764, 230542, 29470, -2042, -164, -2, 1], 'lmfdb_label': '102550.e1', 'torsion': [3]}
  • id: 4751850
    {'degree': 12, 'field': [31001500, 14517600, -22766800, 1133960, 3392140, -420776, -211984, 19276, 6175, -120, -96, -4, 1], 'lmfdb_label': '102550.e1', '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: 2518052
    {'conductor': 102550, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '102550.e1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2518053
    {'conductor': 102550, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '102550.e1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2518054
    {'conductor': 102550, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '102550.e1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2518055
    {'conductor': 102550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '102550.e1', 'prime': 293, '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, 1, 41019, 0], [32817, 2, 32817, 3], [11721, 2, 11721, 3], [20511, 2, 20511, 3], [41019, 2, 41018, 3], [1, 0, 2, 1], [1, 2, 0, 1], [12601, 2, 12601, 3]], 'adelic_image': '41020.2.0.?', 'conductor': 102550, 'lmfdb_label': '102550.e1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 5336811
    {'lmfdb_iso': '102550.e', 'p': 13, 'prec': 20, 'unit': 245925575137434710216, 'val': 1}
  • id: 5336813
    {'lmfdb_iso': '102550.e', 'p': 17, 'prec': 20, 'unit': 1137846151029596854717, 'val': 2}
  • id: 5336814
    {'lmfdb_iso': '102550.e', 'p': 19, 'prec': 20, 'unit': 732548134779554492734283, 'val': 1}
  • id: 5336810
    {'lmfdb_iso': '102550.e', 'p': 29, 'prec': 20, 'unit': 1694679974337931183023142739, 'val': 1}
  • id: 5336821
    {'lmfdb_iso': '102550.e', 'p': 31, 'prec': 20, 'unit': 8629100352487186219519269743, 'val': 1}
  • id: 5336806
    {'lmfdb_iso': '102550.e', 'p': 37, 'prec': 20, 'unit': 36618478884573993866566609206, 'val': 1}
  • id: 5336808
    {'lmfdb_iso': '102550.e', 'p': 41, 'prec': 20, 'unit': 975036849542021049695294044918, 'val': 1}
  • id: 5336809
    {'lmfdb_iso': '102550.e', 'p': 43, 'prec': 20, 'unit': 1719887781311134242112210126013, 'val': 1}
  • id: 5336819
    {'lmfdb_iso': '102550.e', 'p': 47, 'prec': 20, 'unit': 38222139897782427840280448814865, 'val': 1}
  • id: 5336815
    {'lmfdb_iso': '102550.e', 'p': 53, 'prec': 20, 'unit': 424229731732256841883572090075703, 'val': 1}
  • id: 5336816
    {'lmfdb_iso': '102550.e', 'p': 59, 'prec': 20, 'unit': 57302872498761745490944189699708149, 'val': -1}
  • id: 5336820
    {'lmfdb_iso': '102550.e', 'p': 61, 'prec': 20, 'unit': 3794055740327407029923352893402341, 'val': 1}
  • id: 5336805
    {'lmfdb_iso': '102550.e', 'p': 67, 'prec': 20, 'unit': 49355496929848048773670167046671142, 'val': 1}
  • id: 5336807
    {'lmfdb_iso': '102550.e', 'p': 71, 'prec': 20, 'unit': 138320539887357185478754998041989629, 'val': 1}
  • id: 5336817
    {'lmfdb_iso': '102550.e', 'p': 73, 'prec': 20, 'unit': 209256772084409210643647598462505992, 'val': 1}
  • id: 5336812
    {'lmfdb_iso': '102550.e', 'p': 79, 'prec': 20, 'unit': 201645138147285433827666467724168125, 'val': 1}
  • id: 5336804
    {'lmfdb_iso': '102550.e', 'p': 83, 'prec': 20, 'unit': 477965864223228006133100434258190726, 'val': 1}
  • id: 5336818
    {'lmfdb_iso': '102550.e', 'p': 89, 'prec': 20, 'unit': 2652716631799117790062098657985841801, 'val': 1}
  • id: 5336803
    {'lmfdb_iso': '102550.e', 'p': 97, 'prec': 20, 'unit': 9827928793906462151751212986620742606, 'val': 1}