Elliptic curve data - 1850.a1

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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': '1850g', 'Clabel': '1850g1', 'Cnumber': 1, 'abc_quality': 0.957673030423071, 'absD': 32417920000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 444, 'ainvs': [1, 0, 1, -476, 9498], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 1850, 'degree': 1800, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.70418826990882666655775172889', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-19026212425, 51868672], 'lmfdb_iso': '1850.a', 'lmfdb_label': '1850.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -476, 9498], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '148.2.0.?', '444.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.67783798235885944242357910388', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.16770896576412654169083195115', 'prec': 103}, 'szpiro_ratio': 4.233609982286681, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, -2, 1, 0, 2, -4, -1, 1, 0, 0, -2, 2, 4, 0, 1, 0, -1, 5, 0], 'aplist': [-1, -2, 0, -4, 0, 2, 0, 5, 3, 6, -4, 1, -9, -7, -6, 9, 3, 2, 2, -6, 11, -1, 0, -6, -4], 'class_deg': 3, 'class_size': 2, 'conductor': 1850, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '1850.a', 'trace_hash': 406122692682033712}
• 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': '0.24453996196142440457441748582', 'prec': 103}, 'conductor': 1850, 'gens': [[17, 71, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.67783798235885944242357910388', 'prec': 103}], 'lmfdb_label': '1850.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0308458855899248875790254098', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3974929904224126901111690235177089441', 'prec': 130}, 'tamagawa_product': 18, 'torsion_generators': [[2, 91, 1]], 'xcoord_integral_points': [-28, 2, 17, 113]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [5, 0], '5': 'a', '7': [1, 0], '11': [3, 1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [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.a1'}
• ec_torsion_growth •

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

  
  
  • id: 93927
    {'degree': 3, 'field': [-20, 10, 0, 1], 'lmfdb_label': '1850.a1', 'torsion': [6]}
  • id: 93929
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '1850.a1', 'torsion': [3, 3]}
  • id: 93928
    {'degree': 6, 'field': [37, 0, 7, 0, 19, 0, 1], 'lmfdb_label': '1850.a1', 'torsion': [2, 6]}
  • id: 93930
    {'degree': 9, 'field': [98753, 103563, 14541, -11259, -777, 768, -74, -63, 0, 1], 'lmfdb_label': '1850.a1', 'torsion': [9]}
  • id: 93931
    {'degree': 12, 'field': [-37, 0, 360, 0, -993, 0, 200, 0, 21, 0, 0, 0, 1], 'lmfdb_label': '1850.a1', 'torsion': [12]}
  • id: 93932
    {'degree': 18, 'field': [1369, -4107, 5217, -4588, 3786, -1434, -1718, 2070, 423, -2149, 2013, -1254, 776, -540, 324, -144, 45, -9, 1], 'lmfdb_label': '1850.a1', 'torsion': [3, 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: 29925
    {'conductor': 1850, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '1850.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 29926
    {'conductor': 1850, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '1850.a1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 29927
    {'conductor': 1850, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1850.a1', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1676070
    {'adelic_gens': [[223, 6, 225, 19], [3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [439, 6, 438, 7], [186, 265, 37, 75], [409, 6, 339, 19], [1, 6, 0, 1]], 'adelic_image': '444.16.0.?', 'conductor': 1850, 'lmfdb_label': '1850.a1', 'prime': 0}
  • id: 9047
    {'conductor': 1850, 'elladic_image': '3.8.0.1', 'lmfdb_label': '1850.a1', 'modell_image': '3B.1.1', 'prime': 3}
• ec_padic •

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

  
  
  • id: 52487
    {'lmfdb_iso': '1850.a', 'p': 7, 'prec': 20, 'unit': 617847834832383, 'val': 1}
  • id: 52491
    {'lmfdb_iso': '1850.a', 'p': 13, 'prec': 20, 'unit': 100880281217076447808, 'val': 1}
  • id: 52494
    {'lmfdb_iso': '1850.a', 'p': 19, 'prec': 20, 'unit': 1067122850169844521300454, 'val': 1}
  • id: 52497
    {'lmfdb_iso': '1850.a', 'p': 23, 'prec': 20, 'unit': 39577421188871569760698520, 'val': 1}
  • id: 52490
    {'lmfdb_iso': '1850.a', 'p': 29, 'prec': 20, 'unit': 510914110500470345940489451, 'val': 1}
  • id: 52502
    {'lmfdb_iso': '1850.a', 'p': 31, 'prec': 20, 'unit': 10622699527992923144350422933, 'val': 1}
  • id: 52488
    {'lmfdb_iso': '1850.a', 'p': 41, 'prec': 20, 'unit': 38932663430990796451970651974, 'val': 1}
  • id: 52489
    {'lmfdb_iso': '1850.a', 'p': 43, 'prec': 20, 'unit': 72792096181322863093899372103, 'val': 1}
  • id: 52500
    {'lmfdb_iso': '1850.a', 'p': 47, 'prec': 20, 'unit': 7355977353403862639064809472240, 'val': 1}
  • id: 52495
    {'lmfdb_iso': '1850.a', 'p': 53, 'prec': 20, 'unit': 54682178806344397855570169568780, 'val': 1}
  • id: 52493
    {'lmfdb_iso': '1850.a', 'p': 59, 'prec': 20, 'unit': 4138555959391665904582063537690414, 'val': 1}
  • id: 52501
    {'lmfdb_iso': '1850.a', 'p': 61, 'prec': 20, 'unit': 2178137746721827380839060094601841, 'val': 1}
  • id: 52486
    {'lmfdb_iso': '1850.a', 'p': 67, 'prec': 20, 'unit': 38274007179956606886934513555055030, 'val': 1}
  • id: 52499
    {'lmfdb_iso': '1850.a', 'p': 71, 'prec': 20, 'unit': 36397770592374062055803383004663146, 'val': 1}
  • id: 52496
    {'lmfdb_iso': '1850.a', 'p': 73, 'prec': 20, 'unit': 18644266468514375510110919821742489, 'val': 1}
  • id: 52492
    {'lmfdb_iso': '1850.a', 'p': 79, 'prec': 20, 'unit': 670172403284034342468856670544934148, 'val': 1}
  • id: 52498
    {'lmfdb_iso': '1850.a', 'p': 89, 'prec': 20, 'unit': 5174848767030117391383509967579300081, 'val': 1}
  • id: 52485
    {'lmfdb_iso': '1850.a', 'p': 97, 'prec': 20, 'unit': 49824876707954004519230812079147943913, 'val': 1}