Elliptic curve data - 11025.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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '11025a', 'Clabel': '11025a1', 'Cnumber': 1, 'absD': 1520015888671875, 'ainvs': [0, 0, 1, 0, 1875781], 'analytic_rank': 1, 'bad_primes': [3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 11025, 'degree': 35280, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5920073368042820234298100534', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '11025.u', 'lmfdb_label': '11025.u2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, -44], 'min_quad_twist_disc': -35, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7921323188436672626037638007', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 3675], [3, 6, 1225], [5, 2, 441], [7, 26, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691958', 'prec': 97}, 'szpiro_ratio': 4.556572675862645, '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, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 4, 0, 0, 8, 0], 'aplist': [0, 0, 0, 0, 0, -2, 0, 8, 0, 0, -7, -11, 0, -5, 0, 0, 0, -1, 16, 0, -17, 17, 0, 0, 19], 'class_deg': 3, 'class_size': 2, 'conductor': 11025, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '11025.u', 'trace_hash': 4503272793199541}
• 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': '0.041419036971597642215459514641', 'prec': 97}, 'conductor': 11025, 'gens': [[-101, 919, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.7921323188436672626037638007', 'prec': 97}], 'lmfdb_label': '11025.u2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37878721318276012240888129755', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6303968925156615885848872435063151721', 'prec': 127}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-101]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 's?', '3': 'a', '5': 'a', '7': 'a', '11': [1, 1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '11025.u2'}
• ec_torsion_growth •

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

  
  
  • id: 571572
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '11025.u2', 'torsion': [3]}
  • id: 571573
    {'degree': 3, 'field': [57, -23, -1, 1], 'lmfdb_label': '11025.u2', 'torsion': [2]}
  • id: 571576
    {'degree': 6, 'field': [-980, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '11025.u2', 'torsion': [6]}
  • id: 571575
    {'degree': 6, 'field': [1960, 0, 0, -35, 0, 0, 1], 'lmfdb_label': '11025.u2', 'torsion': [3]}
  • id: 571574
    {'degree': 6, 'field': [3249, -1311, 586, -91, 24, -1, 1], 'lmfdb_label': '11025.u2', 'torsion': [2, 2]}
  • id: 571577
    {'degree': 12, 'field': [-13754, 6164, 25536, -17480, -13880, 19884, -10364, 3504, -750, 50, 16, -6, 1], 'lmfdb_label': '11025.u2', 'torsion': [4]}
  • id: 571580
    {'degree': 12, 'field': [1156, 748, 1164, -100, 340, -222, 259, -123, 30, -5, 4, -3, 1], 'lmfdb_label': '11025.u2', 'torsion': [2, 6]}
  • id: 571579
    {'degree': 12, 'field': [3139, -9499, 12678, -10035, 5275, -1794, 269, 72, -75, 40, -7, -3, 1], 'lmfdb_label': '11025.u2', 'torsion': [7]}
  • id: 571578
    {'degree': 12, 'field': [59536, 1464, 3696, -9850, 3765, 1344, -349, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '11025.u2', 'torsion': [3, 3]}
  • id: 571582
    {'degree': 18, 'field': [6859, 0, 0, 3368, 0, 0, 13615, 0, 0, 2420, 0, 0, 245, 0, 0, -12, 0, 0, 1], 'lmfdb_label': '11025.u2', 'torsion': [6]}
  • id: 571581
    {'degree': 18, 'field': [11789, 88716, 214650, 226917, 184905, 41166, -131781, -113595, -7812, 28810, 11565, -2430, -1965, 240, 270, -3, -12, 0, 1], 'lmfdb_label': '11025.u2', 'torsion': [9]}
• 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: 235885
    {'conductor': 11025, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '11025.u2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 235886
    {'conductor': 11025, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '11025.u2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 235887
    {'conductor': 11025, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '11025.u2', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
• lmfdb_label 11025.u2 does not appear in ec_galrep
• ec_padic •

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

  
  
  • id: 473890
    {'lmfdb_iso': '11025.u', 'p': 13, 'prec': 20, 'unit': 870102390488217476319, 'val': 1}
  • id: 473892
    {'lmfdb_iso': '11025.u', 'p': 19, 'prec': 20, 'unit': 275307556414599620470687, 'val': 1}
  • id: 473894
    {'lmfdb_iso': '11025.u', 'p': 31, 'prec': 20, 'unit': 54076901801894279242380067, 'val': 1}
  • id: 473887
    {'lmfdb_iso': '11025.u', 'p': 37, 'prec': 20, 'unit': 536898300453126285297018128427, 'val': 1}
  • id: 473889
    {'lmfdb_iso': '11025.u', 'p': 43, 'prec': 20, 'unit': 4909744299138088377331738569011, 'val': 1}
  • id: 473893
    {'lmfdb_iso': '11025.u', 'p': 61, 'prec': 20, 'unit': 661012732349042647443420958653950, 'val': 1}
  • id: 473886
    {'lmfdb_iso': '11025.u', 'p': 67, 'prec': 20, 'unit': 29279046738839449816553155073795237, 'val': 1}
  • id: 473888
    {'lmfdb_iso': '11025.u', 'p': 73, 'prec': 20, 'unit': 198228659100838896546905322217791083, 'val': 1}
  • id: 473891
    {'lmfdb_iso': '11025.u', 'p': 79, 'prec': 20, 'unit': 674625967130013779233726267361801226, 'val': 1}
  • id: 473885
    {'lmfdb_iso': '11025.u', 'p': 97, 'prec': 20, 'unit': 8252656680164678974787809167994244781, 'val': 1}