Elliptic curve data - 11025.bb3

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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': '11025v', 'Clabel': '11025v2', 'Cnumber': 2, 'abc_quality': 1.0649344898971125, 'absD': 57456600591796875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, 0, 1, 95550, -1940094], 'analytic_rank': 1, 'bad_primes': [3, 5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 11025, 'degree': 69120, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9051361543757115741607239400', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1, 3], 'jinv': [71991296, 42875], 'lmfdb_iso': '11025.bb', 'lmfdb_label': '11025.bb3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 9, 1], 'min_quad_twist_disc': 105, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '6.24.0-3.a.1.1', '63.36.0.b.1', '70.2.0.a.1', '105.24.0.?', '126.72.0.?', '210.48.1.?', '315.72.0.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3739825977344129310342540489', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 2, 1225], [5, 18, 441], [7, 32, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42184402070305011138995471680', 'prec': 107}, 'szpiro_ratio': 4.94372689274968, '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, 3, 0, 5, 0, 0, 4, -3, 0, -2, 0], 'aplist': [0, 0, 0, 0, 3, 5, -3, -2, -6, -3, 4, -2, -12, 10, -9, 12, 0, -8, 4, 0, 2, -1, -12, -12, -1], 'class_deg': 9, 'class_size': 3, 'conductor': 11025, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '11025.bb', 'trace_hash': 299765835622291238}
• 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': '0.022142148635171200868294309148', 'prec': 107}, 'conductor': 11025, 'gens': [[105, 6121, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3739825977344129310342540489', 'prec': 100}], 'lmfdb_label': '11025.bb3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20579133886442944272493420768', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9083604578289684777623287381505458069', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 's?', '3': 'a', '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [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': '11025.bb3'}
• ec_torsion_growth •

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

  
  
  • id: 571959
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '11025.bb3', 'torsion': [3]}
  • id: 571960
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '11025.bb3', 'torsion': [3]}
  • id: 571961
    {'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '11025.bb3', 'torsion': [2]}
  • id: 571962
    {'degree': 4, 'field': [81, -9, -8, -1, 1], 'lmfdb_label': '11025.bb3', 'torsion': [3, 3]}
  • id: 571963
    {'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '11025.bb3', 'torsion': [2, 6]}
  • id: 571964
    {'degree': 6, 'field': [4, -52, 28, 13, -5, -3, 1], 'lmfdb_label': '11025.bb3', 'torsion': [6]}
  • id: 571965
    {'degree': 12, 'field': [-2627, 6158, -5044, -46, 2747, -1660, 72, 332, -161, 22, 12, -6, 1], 'lmfdb_label': '11025.bb3', 'torsion': [4]}
  • id: 571966
    {'degree': 12, 'field': [1, -3, 1, -2, 23, -43, 50, -43, 23, -2, 1, -3, 1], 'lmfdb_label': '11025.bb3', 'torsion': [6, 6]}
  • id: 571967
    {'degree': 18, 'field': [-13144256, 17377152, -5831088, -1461880, 1320000, -276618, 263745, -383316, 185379, 1473, -31641, 10797, -313, -471, -87, 58, 15, -9, 1], 'lmfdb_label': '11025.bb3', 'torsion': [9]}
  • id: 571968
    {'degree': 18, 'field': [396935, -1492155, 5172615, -8393420, 9607395, -7016310, 4095106, -1729245, 759159, -248220, 107685, -25200, 9920, -1785, 765, -70, 39, 0, 1], 'lmfdb_label': '11025.bb3', '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: 236008
    {'conductor': 11025, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '11025.bb3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 236009
    {'conductor': 11025, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '11025.bb3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 236010
    {'conductor': 11025, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '11025.bb3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1737091
    {'adelic_gens': [[613, 18, 612, 19], [1, 18, 0, 1], [619, 612, 162, 125], [1, 9, 9, 82], [437, 612, 531, 119], [1, 6, 6, 37], [503, 612, 117, 467], [1, 0, 18, 1], [1, 12, 0, 1]], 'adelic_image': '630.144.3.?', 'conductor': 11025, 'lmfdb_label': '11025.bb3', 'prime': 0}
  • id: 53082
    {'conductor': 11025, 'elladic_image': '3.12.0.1', 'lmfdb_label': '11025.bb3', 'modell_image': '3Cs', 'prime': 3}
• ec_padic •

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

  
  
  • id: 474086
    {'lmfdb_iso': '11025.bb', 'p': 11, 'prec': 20, 'unit': 45385321143044888076, 'val': 1}
  • id: 474088
    {'lmfdb_iso': '11025.bb', 'p': 13, 'prec': 20, 'unit': 975045357144980394907, 'val': 1}
  • id: 474090
    {'lmfdb_iso': '11025.bb', 'p': 17, 'prec': 20, 'unit': 119579498201415756785998, 'val': 1}
  • id: 474091
    {'lmfdb_iso': '11025.bb', 'p': 19, 'prec': 20, 'unit': 1818728686999201433294943, 'val': 1}
  • id: 474094
    {'lmfdb_iso': '11025.bb', 'p': 23, 'prec': 20, 'unit': 66726070849308455158035694, 'val': 1}
  • id: 474087
    {'lmfdb_iso': '11025.bb', 'p': 29, 'prec': 20, 'unit': 738040591592771797229192098, 'val': 1}
  • id: 474099
    {'lmfdb_iso': '11025.bb', 'p': 31, 'prec': 20, 'unit': 1289541602005463328462451183, 'val': 1}
  • id: 474084
    {'lmfdb_iso': '11025.bb', 'p': 37, 'prec': 20, 'unit': 310421148913991165939941921386, 'val': 1}
  • id: 474085
    {'lmfdb_iso': '11025.bb', 'p': 41, 'prec': 20, 'unit': 386781094678995181791780640210, 'val': 1}
  • id: 474083
    {'lmfdb_iso': '11025.bb', 'p': 43, 'prec': 20, 'unit': 4694767810283011708511441810887, 'val': 1}
  • id: 474089
    {'lmfdb_iso': '11025.bb', 'p': 47, 'prec': 20, 'unit': 34904440486195222872411498643966, 'val': 1}
  • id: 474092
    {'lmfdb_iso': '11025.bb', 'p': 53, 'prec': 20, 'unit': 322224142343785248463220916249678, 'val': 1}
  • id: 474097
    {'lmfdb_iso': '11025.bb', 'p': 61, 'prec': 20, 'unit': 4051613815768803308127892663901109, 'val': 1}
  • id: 474082
    {'lmfdb_iso': '11025.bb', 'p': 67, 'prec': 20, 'unit': 3587466063131129582923358517304951, 'val': 1}
  • id: 474093
    {'lmfdb_iso': '11025.bb', 'p': 73, 'prec': 20, 'unit': 137914705733804492699913861587146004, 'val': 1}
  • id: 474096
    {'lmfdb_iso': '11025.bb', 'p': 79, 'prec': 20, 'unit': 552512004837099326282862385791636913, 'val': 1}
  • id: 474098
    {'lmfdb_iso': '11025.bb', 'p': 83, 'prec': 20, 'unit': 1926571494502252371013955248322173854, 'val': 1}
  • id: 474095
    {'lmfdb_iso': '11025.bb', 'p': 89, 'prec': 20, 'unit': 4456022154652060603060896080526967504, 'val': 1}
  • id: 474081
    {'lmfdb_iso': '11025.bb', 'p': 97, 'prec': 20, 'unit': 1592675173452543738214654703805847386, 'val': 1}