Elliptic curve data - 5850.w1

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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': '5850q', 'Clabel': '5850q2', 'Cnumber': 2, 'abc_quality': 1.0808242832950035, 'absD': 13327031250000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 780, 'ainvs': [1, -1, 0, -2051156367, 35756293724541], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 5850, 'degree': 1344000, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4980352900935746323769326568', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 22, 'isogeny_degrees': [1, 5], 'jinv': [-134057911417971280740025, 1872], 'lmfdb_iso': '5850.w', 'lmfdb_label': '5850.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -9116250, -10598103900], 'min_quad_twist_disc': -15, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '15.24.0-5.a.2.1', '52.2.0.a.1', '260.24.1.?', '780.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1540095204585566411559308367', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6075308853977694745120105940', 'prec': 100}, 'szpiro_ratio': 8.754540877255922, '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, 0, 0, 3, -1, 0, 0, 3, 0, 1, -3, 0, 1, -3, 0, 0, 0], 'aplist': [-1, 0, 0, 3, 3, 1, -3, 0, -4, -5, -3, -12, -2, 4, -3, -9, -15, -3, -7, 8, -16, 0, 1, 0, -2], 'class_deg': 5, 'class_size': 2, 'conductor': 5850, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '5850.w', 'trace_hash': 1725421328565358238}
• 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': '0.00091547218173072296400455330764', 'prec': 113}, 'conductor': 5850, 'gens': [[1281282, -4451313, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '5.1540095204585566411559308367', 'prec': 100}], 'lmfdb_label': '5850.w1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16323199217896684542705101649', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3651969669352471166326704523875992992', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 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': '5850.w1'}
• ec_torsion_growth •

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

  
  
  • id: 304836
    {'degree': 3, 'field': [-13, -3, -1, 1], 'lmfdb_label': '5850.w1', 'torsion': [2]}
  • id: 304837
    {'degree': 4, 'field': [1, 4, -4, -1, 1], 'lmfdb_label': '5850.w1', 'torsion': [5]}
  • id: 304838
    {'degree': 6, 'field': [36, 48, 41, 22, 6, -2, 1], 'lmfdb_label': '5850.w1', 'torsion': [2, 2]}
  • id: 304839
    {'degree': 8, 'field': [-13266, -10585, 2458, 1023, 605, -107, -15, -4, 1], 'lmfdb_label': '5850.w1', 'torsion': [3]}
  • id: 304840
    {'degree': 10, 'field': [2028, 0, 0, 0, 0, -78, 0, 0, 0, 0, 1], 'lmfdb_label': '5850.w1', 'torsion': [5]}
  • id: 304841
    {'degree': 12, 'field': [-48816, 3096, 74568, 10020, -39500, -11104, 6024, 1712, -340, -50, -2, -3, 1], 'lmfdb_label': '5850.w1', 'torsion': [4]}
  • id: 304842
    {'degree': 12, 'field': [541, 2339, 3169, 445, -1715, -556, 191, 146, 55, -35, 4, -4, 1], 'lmfdb_label': '5850.w1', 'torsion': [10]}
• 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: 115608
    {'conductor': 5850, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '5850.w1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 115609
    {'conductor': 5850, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '5850.w1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 115610
    {'conductor': 5850, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '5850.w1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 115611
    {'conductor': 5850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5850.w1', 'prime': 13, '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: 1702325
    {'adelic_gens': [[6, 13, 725, 661], [771, 10, 770, 11], [301, 270, 465, 571], [1, 0, 10, 1], [1, 10, 0, 1], [391, 270, 135, 571], [647, 510, 240, 11], [259, 0, 0, 779]], 'adelic_image': '780.48.1.?', 'conductor': 5850, 'lmfdb_label': '5850.w1', 'prime': 0}
  • id: 28910
    {'conductor': 5850, 'elladic_image': '5.12.0.2', 'lmfdb_label': '5850.w1', 'modell_image': '5B.4.2', 'prime': 5}
• ec_padic •

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

  
  
  • id: 225021
    {'lmfdb_iso': '5850.w', 'p': 7, 'prec': 20, 'unit': 11164129291372564, 'val': 1}
  • id: 225019
    {'lmfdb_iso': '5850.w', 'p': 11, 'prec': 20, 'unit': 19618147433926405559, 'val': 1}
  • id: 225026
    {'lmfdb_iso': '5850.w', 'p': 17, 'prec': 20, 'unit': 235344425621085111391047, 'val': 1}
  • id: 225030
    {'lmfdb_iso': '5850.w', 'p': 23, 'prec': 20, 'unit': 18838977670631210913984643, 'val': 1}
  • id: 225024
    {'lmfdb_iso': '5850.w', 'p': 29, 'prec': 20, 'unit': 3034970896351451235348563727, 'val': 1}
  • id: 225034
    {'lmfdb_iso': '5850.w', 'p': 31, 'prec': 20, 'unit': 730455798906716287219441647, 'val': 1}
  • id: 225020
    {'lmfdb_iso': '5850.w', 'p': 37, 'prec': 20, 'unit': 612091400567243597477620196379, 'val': 1}
  • id: 225022
    {'lmfdb_iso': '5850.w', 'p': 41, 'prec': 20, 'unit': 3060470424141166542435404796621, 'val': 1}
  • id: 225023
    {'lmfdb_iso': '5850.w', 'p': 43, 'prec': 20, 'unit': 946315296038593604297555465304, 'val': 1}
  • id: 225025
    {'lmfdb_iso': '5850.w', 'p': 47, 'prec': 20, 'unit': 35234889019596278606439594120793, 'val': 1}
  • id: 225028
    {'lmfdb_iso': '5850.w', 'p': 53, 'prec': 20, 'unit': 102447715155842797346463352675502, 'val': 1}
  • id: 225032
    {'lmfdb_iso': '5850.w', 'p': 59, 'prec': 20, 'unit': 4047773833477301167834182441984489, 'val': 1}
  • id: 225033
    {'lmfdb_iso': '5850.w', 'p': 61, 'prec': 20, 'unit': 1870390466781244524112631844000006, 'val': 1}
  • id: 225018
    {'lmfdb_iso': '5850.w', 'p': 67, 'prec': 20, 'unit': 2085341050504955146101442715027933, 'val': 1}
  • id: 225031
    {'lmfdb_iso': '5850.w', 'p': 71, 'prec': 20, 'unit': 68418833886283017633568890205805907, 'val': 1}
  • id: 225029
    {'lmfdb_iso': '5850.w', 'p': 73, 'prec': 20, 'unit': 67075827260349192402317029860936951, 'val': 1}
  • id: 225027
    {'lmfdb_iso': '5850.w', 'p': 83, 'prec': 20, 'unit': 210973227162948724775913359724447000623, 'val': -1}
  • id: 225017
    {'lmfdb_iso': '5850.w', 'p': 97, 'prec': 20, 'unit': 20919598353929390643957828858789877565, 'val': 1}