Elliptic curve data - 59850.u2

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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': '59850cn', 'Clabel': '59850cn1', 'Cnumber': 1, 'abc_quality': 0.859663092888655, 'absD': 48866328000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2280, 'ainvs': [1, -1, 0, 513, -9779], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 59850, 'degree': 49152, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.73416671753665906786007761138', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2], 'jinv': [163667323, 536256], 'lmfdb_iso': '59850.u', 'lmfdb_label': '59850.u2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 57, 381], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '190.6.0.?', '456.6.0.?', '2280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.87920377817446514784357567342', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.21749890490592087148773484039', 'prec': 107}, 'szpiro_ratio': 2.8976274925593413, '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, -1, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, -2, 1, 0, 1, -2, 0, -1, 0], 'aplist': [-1, 0, 0, -1, 0, -2, -2, -1, 6, -2, 10, 2, -4, -10, 10, -2, -10, -10, 4, 4, 4, -2, 12, -8, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 59850, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '59850.u', 'trace_hash': 1518683809166384322}
• 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': '0.23030899041550456932086604246', 'prec': 103}, 'conductor': 59850, 'gens': [[59, 443, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.87920377817446514784357567342', 'prec': 103}], 'lmfdb_label': '59850.u2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.57660259729951680440911700971', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0556094564075586351666612736211916161', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[14, -7, 1]], 'xcoord_integral_points': [14, 15, 38, 59, 1094]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 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': '59850.u2'}
• ec_torsion_growth •

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

  
  
  • id: 2875610
    {'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '59850.u2', 'torsion': [2, 2]}
  • id: 2875611
    {'degree': 4, 'field': [81, -18, -11, -2, 1], 'lmfdb_label': '59850.u2', 'torsion': [4]}
  • id: 2875614
    {'degree': 8, 'field': [-41334, 41007, -13899, 996, 114, 138, -46, -1, 1], 'lmfdb_label': '59850.u2', 'torsion': [6]}
  • id: 2875612
    {'degree': 8, 'field': [7180, -12920, 10390, -3940, 1001, -238, 49, -2, 1], 'lmfdb_label': '59850.u2', 'torsion': [2, 4]}
  • id: 2875613
    {'degree': 8, 'field': [662596, 0, -74718, 0, 17329, 0, 168, 0, 1], 'lmfdb_label': '59850.u2', 'torsion': [2, 4]}
  • id: 2875615
    {'degree': 16, 'field': [-3372344199, 5982365160, -270769176, -587571840, 832194810, -180661680, -14214684, 16812000, -1715621, 286080, -44044, -480, 1230, -120, 44, 0, 1], 'lmfdb_label': '59850.u2', 'torsion': [8]}
  • id: 2875616
    {'degree': 16, 'field': [1329039936, 0, 829474695, 0, 115953453, 0, 2009280, 0, 1106694, 0, -12750, 0, 832, 0, -45, 0, 1], 'lmfdb_label': '59850.u2', 'torsion': [2, 6]}
• 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: 1441678
    {'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '59850.u2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1441679
    {'conductor': 59850, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '59850.u2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1441680
    {'conductor': 59850, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '59850.u2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1441681
    {'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '59850.u2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1441682
    {'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '59850.u2', 'prime': 19, '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

  
  
  • id: 2061319
    {'adelic_gens': [[1, 2, 2, 5], [761, 4, 1522, 9], [289, 1996, 1424, 855], [1562, 1, 359, 0], [1, 4, 0, 1], [2277, 4, 2276, 5], [1141, 4, 2, 9], [1828, 1, 1823, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '2280.12.0.?', 'conductor': 59850, 'lmfdb_label': '59850.u2', 'prime': 0}
  • id: 253265
    {'conductor': 59850, 'elladic_image': '2.3.0.1', 'lmfdb_label': '59850.u2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3040793
    {'lmfdb_iso': '59850.u', 'p': 13, 'prec': 20, 'unit': 581803124305293782990, 'val': 1}
  • id: 3040795
    {'lmfdb_iso': '59850.u', 'p': 17, 'prec': 20, 'unit': 61765067026480785477776, 'val': 1}
  • id: 3040800
    {'lmfdb_iso': '59850.u', 'p': 23, 'prec': 20, 'unit': 55510740398747842427711214, 'val': 1}
  • id: 3040792
    {'lmfdb_iso': '59850.u', 'p': 29, 'prec': 20, 'unit': 3422025848820534775000457738, 'val': 1}
  • id: 3040804
    {'lmfdb_iso': '59850.u', 'p': 31, 'prec': 20, 'unit': 4280337998660564155530159696, 'val': 1}
  • id: 3040788
    {'lmfdb_iso': '59850.u', 'p': 37, 'prec': 20, 'unit': 304432855129164005146618672786, 'val': 1}
  • id: 3040790
    {'lmfdb_iso': '59850.u', 'p': 41, 'prec': 20, 'unit': 1481340798365471645760370215751, 'val': 1}
  • id: 3040791
    {'lmfdb_iso': '59850.u', 'p': 43, 'prec': 20, 'unit': 5908667648624821649724189585310, 'val': 1}
  • id: 3040802
    {'lmfdb_iso': '59850.u', 'p': 47, 'prec': 20, 'unit': 418152922381178476500180329988, 'val': 1}
  • id: 3040797
    {'lmfdb_iso': '59850.u', 'p': 53, 'prec': 20, 'unit': 533427138796165412362574321278850, 'val': 1}
  • id: 3040798
    {'lmfdb_iso': '59850.u', 'p': 59, 'prec': 20, 'unit': 1608480259112096599230138390490376, 'val': 1}
  • id: 3040803
    {'lmfdb_iso': '59850.u', 'p': 61, 'prec': 20, 'unit': 4385310056743954809134210723278957, 'val': 1}
  • id: 3040787
    {'lmfdb_iso': '59850.u', 'p': 67, 'prec': 20, 'unit': 11765446646840553661615589583208335, 'val': 1}
  • id: 3040789
    {'lmfdb_iso': '59850.u', 'p': 71, 'prec': 20, 'unit': 29353569527944335451349495606772241, 'val': 1}
  • id: 3040799
    {'lmfdb_iso': '59850.u', 'p': 73, 'prec': 20, 'unit': 230406769617793338362934489021497535, 'val': 1}
  • id: 3040794
    {'lmfdb_iso': '59850.u', 'p': 79, 'prec': 20, 'unit': 79695011800189114247180789240038971, 'val': 1}
  • id: 3040796
    {'lmfdb_iso': '59850.u', 'p': 83, 'prec': 20, 'unit': 1522110654075974186101788757454016337, 'val': 1}
  • id: 3040801
    {'lmfdb_iso': '59850.u', 'p': 89, 'prec': 20, 'unit': 10680239376288574972458866946507751412, 'val': 1}
  • id: 3040786
    {'lmfdb_iso': '59850.u', 'p': 97, 'prec': 20, 'unit': 15765844412343803243737422018163910299, 'val': 1}