Elliptic curve data - 20800.be1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '20800dr', 'Clabel': '20800dr1', 'Cnumber': 1, 'abc_quality': 0.7572575161914621, 'absD': 133120000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 26, 'ainvs': [0, -1, 0, -133, -163], 'analytic_rank': 1, 'bad_primes': [2, 5, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 20800, 'degree': 4608, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.25135556376362382136752143650', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 30, 'isogeny_degrees': [1], 'jinv': [25600, 13], 'lmfdb_iso': '20800.be', 'lmfdb_label': '20800.be1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -33, 37], 'min_quad_twist_disc': -8, 'modell_images': [], 'modm_images': ['26.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5041999503384087094074405469', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 325], [5, 14, 832], [13, 14, 1600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0937954510343458311528358163', 'prec': 103}, 'szpiro_ratio': 2.6443660123040167, '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, 0, -1, 0, 0, 0, 0, 0, -2, 0, -2, 0, -1, 0, 0, 0, -2, 0, 8, 0], 'aplist': [0, -1, 0, 0, -2, -1, -2, 8, -1, -9, 4, 6, -2, -9, 4, 13, 6, 5, -6, -2, -8, -17, 6, 0, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 20800, 'isogeny_matrix': [[1]], 'lmfdb_iso': '20800.be', 'trace_hash': 249048491590862597}
• 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': '0.60488850479651421670810093769', 'prec': 103}, 'conductor': 20800, 'gens': [[-4, 17, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5041999503384087094074405469', 'prec': 100}], 'lmfdb_label': '20800.be1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4826656333627554306686314923', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7128912054354774448116709401434893659', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': [-4]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '20800.be1'}
• ec_torsion_growth •

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

  
  
  • id: 1060889
    {'degree': 3, 'field': [-10, -10, 0, 1], 'lmfdb_label': '20800.be1', 'torsion': [2]}
  • id: 1060890
    {'degree': 6, 'field': [1, -3, -4, 13, -4, -3, 1], 'lmfdb_label': '20800.be1', 'torsion': [2, 2]}
  • id: 1060891
    {'degree': 8, 'field': [-27, 0, 0, 0, -18, 0, -14, 0, 1], 'lmfdb_label': '20800.be1', 'torsion': [3]}
  • id: 1060892
    {'degree': 12, 'field': [13, 0, 20, 0, -93, 0, -100, 0, -29, 0, 0, 0, 1], 'lmfdb_label': '20800.be1', '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: 473014
    {'conductor': 20800, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '20800.be1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 473015
    {'conductor': 20800, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '20800.be1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 473016
    {'conductor': 20800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '20800.be1', '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

  
  {'adelic_gens': [[25, 2, 24, 3], [1, 2, 0, 1], [1, 0, 2, 1], [15, 2, 15, 3], [1, 1, 25, 0]], 'adelic_image': '26.2.0.?', 'conductor': 20800, 'lmfdb_label': '20800.be1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 971636
    {'lmfdb_iso': '20800.be', 'p': 11, 'prec': 20, 'unit': 52465097011687349228, 'val': 1}
  • id: 971637
    {'lmfdb_iso': '20800.be', 'p': 17, 'prec': 20, 'unit': 29609253758380970044452, 'val': 1}
  • id: 971638
    {'lmfdb_iso': '20800.be', 'p': 19, 'prec': 20, 'unit': 1744440016488326999214383, 'val': 1}
  • id: 971642
    {'lmfdb_iso': '20800.be', 'p': 23, 'prec': 20, 'unit': 778798265513324557115814, 'val': 2}
  • id: 971634
    {'lmfdb_iso': '20800.be', 'p': 29, 'prec': 20, 'unit': 5491127596375852649872405151, 'val': 1}
  • id: 971645
    {'lmfdb_iso': '20800.be', 'p': 31, 'prec': 20, 'unit': 15553474127378653953413, 'val': 1}
  • id: 971630
    {'lmfdb_iso': '20800.be', 'p': 37, 'prec': 20, 'unit': 553208774617628956856893116619, 'val': 1}
  • id: 971632
    {'lmfdb_iso': '20800.be', 'p': 41, 'prec': 20, 'unit': 2485133158623825370046700585623, 'val': 1}
  • id: 971633
    {'lmfdb_iso': '20800.be', 'p': 43, 'prec': 20, 'unit': 2064924436016711710670195379377, 'val': 1}
  • id: 971643
    {'lmfdb_iso': '20800.be', 'p': 47, 'prec': 20, 'unit': 22780917974948961621804824577792, 'val': 1}
  • id: 971639
    {'lmfdb_iso': '20800.be', 'p': 53, 'prec': 20, 'unit': 118819379377703615590330687476221, 'val': 1}
  • id: 971640
    {'lmfdb_iso': '20800.be', 'p': 59, 'prec': 20, 'unit': 474001261674648157919007768429347, 'val': 1}
  • id: 971644
    {'lmfdb_iso': '20800.be', 'p': 61, 'prec': 20, 'unit': 4779419375871613690275867402871552, 'val': 1}
  • id: 971629
    {'lmfdb_iso': '20800.be', 'p': 67, 'prec': 20, 'unit': 45109196062673072966622389255033984, 'val': 1}
  • id: 971631
    {'lmfdb_iso': '20800.be', 'p': 71, 'prec': 20, 'unit': 334679602375497210922512553255085, 'val': 1}
  • id: 971641
    {'lmfdb_iso': '20800.be', 'p': 73, 'prec': 20, 'unit': 163003786270561862558894591876573270, 'val': 1}
  • id: 971635
    {'lmfdb_iso': '20800.be', 'p': 79, 'prec': 20, 'unit': 315681277800176374031477992947985087, 'val': 1}
  • id: 971628
    {'lmfdb_iso': '20800.be', 'p': 83, 'prec': 20, 'unit': 2135653508583743525924901003772667590, 'val': 1}
  • id: 971627
    {'lmfdb_iso': '20800.be', 'p': 97, 'prec': 20, 'unit': 16485397434442852118267005273488716116, 'val': 1}