Elliptic curve data - 1850.d1

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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': '1850e', 'Clabel': '1850e1', 'Cnumber': 1, 'abc_quality': 0.8061027819180766, 'absD': 578125000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1480, 'ainvs': [1, -1, 0, -242, 1916], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1850, 'degree': 720, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.39153738050617882356048758984', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1], 'jinv': [-804357, 296], 'lmfdb_iso': '1850.d', 'lmfdb_label': '1850.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -10, 17], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['1480.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.68671809225944578162100596225', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.81554105381939645739008191008', 'prec': 107}, 'szpiro_ratio': 3.7983723554224587, '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, -1, -1, -3, 0, -3, 0, 4, 1, 0, 1, 3, 3, 0, 0], 'aplist': [-1, 0, 0, -1, -3, 4, 3, 0, 8, -3, -7, 1, 11, -11, -4, -11, -12, -15, 4, 6, -2, -8, -12, 0, 1], 'class_deg': 1, 'class_size': 1, 'conductor': 1850, 'isogeny_matrix': [[1]], 'lmfdb_iso': '1850.d', 'trace_hash': 111201887328807277}
• 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': '0.45699868707542360796820237067', 'prec': 103}, 'conductor': 1850, 'gens': [[19, 53, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.68671809225944578162100596225', 'prec': 103}], 'lmfdb_label': '1850.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.5382480553637471919440164140', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1126855400023896133459851314253772315', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [5, 19]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [11, 0], '3': [5, 1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1850.d1'}
• ec_torsion_growth •

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

  
  
  • id: 93909
    {'degree': 3, 'field': [-2, 7, 0, 1], 'lmfdb_label': '1850.d1', 'torsion': [2]}
  • id: 93910
    {'degree': 6, 'field': [1480, 0, 441, 0, 42, 0, 1], 'lmfdb_label': '1850.d1', 'torsion': [2, 2]}
  • id: 93911
    {'degree': 8, 'field': [-224, -76, 22, 107, -50, -7, 7, -4, 1], 'lmfdb_label': '1850.d1', 'torsion': [3]}
  • id: 93912
    {'degree': 12, 'field': [-748600, 3318800, -5574850, 4338200, -1762945, 440100, -78460, 4960, 1731, -384, 76, -4, 1], 'lmfdb_label': '1850.d1', '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: 29916
    {'conductor': 1850, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1850.d1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 29917
    {'conductor': 1850, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '1850.d1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 29918
    {'conductor': 1850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1850.d1', 'prime': 37, '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': [[1479, 2, 1478, 3], [1111, 2, 1111, 3], [741, 2, 741, 3], [1, 1, 1479, 0], [297, 2, 297, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1001, 2, 1001, 3]], 'adelic_image': '1480.2.0.?', 'conductor': 1850, 'lmfdb_label': '1850.d1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 52469
    {'lmfdb_iso': '1850.d', 'p': 7, 'prec': 20, 'unit': 5524384748724047, 'val': 1}
  • id: 52468
    {'lmfdb_iso': '1850.d', 'p': 11, 'prec': 20, 'unit': 35249810199197319633, 'val': 1}
  • id: 52473
    {'lmfdb_iso': '1850.d', 'p': 13, 'prec': 20, 'unit': 241218135400552675046, 'val': 1}
  • id: 52475
    {'lmfdb_iso': '1850.d', 'p': 17, 'prec': 20, 'unit': 230883475640167060629523, 'val': 1}
  • id: 52480
    {'lmfdb_iso': '1850.d', 'p': 23, 'prec': 20, 'unit': 72973746042238873635031765, 'val': 1}
  • id: 52472
    {'lmfdb_iso': '1850.d', 'p': 29, 'prec': 20, 'unit': 3771328418032502063963187259, 'val': 1}
  • id: 52484
    {'lmfdb_iso': '1850.d', 'p': 31, 'prec': 20, 'unit': 18655407458710979189666072199, 'val': 1}
  • id: 52470
    {'lmfdb_iso': '1850.d', 'p': 41, 'prec': 20, 'unit': 1177763482124248701039524405192, 'val': 1}
  • id: 52471
    {'lmfdb_iso': '1850.d', 'p': 43, 'prec': 20, 'unit': 7874627033627234755109942073034, 'val': 1}
  • id: 52482
    {'lmfdb_iso': '1850.d', 'p': 47, 'prec': 20, 'unit': 23583745940006819498123925106190, 'val': 1}
  • id: 52477
    {'lmfdb_iso': '1850.d', 'p': 53, 'prec': 20, 'unit': 396625553566802395154108764069407, 'val': 1}
  • id: 52478
    {'lmfdb_iso': '1850.d', 'p': 59, 'prec': 20, 'unit': 2610660717715787383891918585424784, 'val': 1}
  • id: 52483
    {'lmfdb_iso': '1850.d', 'p': 61, 'prec': 20, 'unit': 7462878816130038862834873940618704, 'val': 1}
  • id: 52476
    {'lmfdb_iso': '1850.d', 'p': 67, 'prec': 20, 'unit': 23407606921878979077281087233008713, 'val': 1}
  • id: 52481
    {'lmfdb_iso': '1850.d', 'p': 71, 'prec': 20, 'unit': 35234156272880895512972015219548110, 'val': 1}
  • id: 52479
    {'lmfdb_iso': '1850.d', 'p': 73, 'prec': 20, 'unit': 5651762801595929697834648230199535, 'val': 1}
  • id: 52474
    {'lmfdb_iso': '1850.d', 'p': 79, 'prec': 20, 'unit': 623964609150617830050200190384877690, 'val': 1}
  • id: 52467
    {'lmfdb_iso': '1850.d', 'p': 83, 'prec': 20, 'unit': 2824198166232986614227886008014455150, 'val': 1}
  • id: 52466
    {'lmfdb_iso': '1850.d', 'p': 97, 'prec': 20, 'unit': 3690085661839751414325643325727024303102, 'val': -1}