Elliptic curve data - 3234.u1

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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': '3234v', 'Clabel': '3234v2', 'Cnumber': 2, 'abc_quality': 1.1312493218569715, 'absD': 256656242304, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 616, 'ainvs': [1, 0, 0, -52459, 4620209], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3234, 'degree': 10752, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3221254098237628263423019788', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2], 'jinv': [46546832455691959, 748268928], 'lmfdb_iso': '3234.u', 'lmfdb_label': '3234.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -52459, 4620209], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '88.6.0.?', '616.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 16, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.13649955516655115405295486212', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 77], [3, 4, 1078], [7, 20, 33], [11, 12, 294]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.83564787255993450006596379294', 'prec': 103}, 'szpiro_ratio': 5.4713979289441665, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, 1, 1, -2, 1, 0, 1, 1, -2, 1, 1, -4, 0, -2, 1, -6, 1, -2, -2], 'aplist': [1, 1, -2, 0, 1, -4, -6, -2, 0, -6, -2, 2, 2, -12, 6, 10, -8, -4, 0, -8, -6, 12, -6, 12, 0], 'class_deg': 2, 'class_size': 2, 'conductor': 3234, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3234.u', 'trace_hash': 1135313576195128494}
• 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': '0.071058569487186420118617039656', 'prec': 107}, 'conductor': 3234, 'gens': [[134, -31, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.13649955516655115405295486212', 'prec': 103}], 'lmfdb_label': '3234.u1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.90101396661302936623310839317', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1654962369441878292992399968928974961', 'prec': 130}, 'tamagawa_product': 168, 'torsion_generators': [[527, -527, 2]], 'xcoord_integral_points': [-262, -10, 116, 130, 134, 152, 314, 404]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [2, 0], '5': [1, 0], '7': 'a', '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3234.u1'}
• ec_torsion_growth •

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

  
  
  • id: 169123
    {'degree': 2, 'field': [-154, 0, 1], 'lmfdb_label': '3234.u1', 'torsion': [2, 2]}
  • id: 169124
    {'degree': 4, 'field': [154, 0, -21, 0, 1], 'lmfdb_label': '3234.u1', 'torsion': [4]}
  • id: 169127
    {'degree': 8, 'field': [-748, -814, -187, 18, 27, 18, -5, -2, 1], 'lmfdb_label': '3234.u1', 'torsion': [6]}
  • id: 169126
    {'degree': 8, 'field': [75625, 0, 550, 0, 26, 0, -26, 0, 1], 'lmfdb_label': '3234.u1', 'torsion': [2, 4]}
  • id: 169125
    {'degree': 8, 'field': [108900, 0, -1936, 0, 748, 0, -88, 0, 1], 'lmfdb_label': '3234.u1', 'torsion': [2, 4]}
  • id: 169129
    {'degree': 16, 'field': [-221742576, 787905360, -719997300, 132654852, -18146007, 23606352, -8910666, 776604, 641951, -280808, -34624, 7140, 2823, -120, -50, -4, 1], 'lmfdb_label': '3234.u1', 'torsion': [2, 6]}
  • id: 169128
    {'degree': 16, 'field': [8161168, -24512080, 26183848, -16181800, 10846652, -5649328, 1656780, -158344, 84416, -22844, 3744, -638, 341, -44, -2, -2, 1], 'lmfdb_label': '3234.u1', 'torsion': [8]}
• 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: 58714
    {'conductor': 3234, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '3234.u1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 58715
    {'conductor': 3234, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '3234.u1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 58716
    {'conductor': 3234, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '3234.u1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 58717
    {'conductor': 3234, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3234.u1', 'prime': 11, '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

  
  
  • id: 1685065
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [613, 4, 612, 5], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 307, 0], [180, 1, 263, 0], [114, 1, 559, 0], [233, 386, 384, 231]], 'adelic_image': '616.12.0.?', 'conductor': 3234, 'lmfdb_label': '3234.u1', 'prime': 0}
  • id: 16259
    {'conductor': 3234, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3234.u1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 106823
    {'lmfdb_iso': '3234.u', 'p': 5, 'prec': 20, 'unit': 14433497078799, 'val': 1}
  • id: 106829
    {'lmfdb_iso': '3234.u', 'p': 13, 'prec': 20, 'unit': 1339737009271779156878, 'val': 1}
  • id: 106831
    {'lmfdb_iso': '3234.u', 'p': 17, 'prec': 20, 'unit': 148487437518010260927049, 'val': 1}
  • id: 106832
    {'lmfdb_iso': '3234.u', 'p': 19, 'prec': 20, 'unit': 653540666445938729078807, 'val': 1}
  • id: 106828
    {'lmfdb_iso': '3234.u', 'p': 29, 'prec': 20, 'unit': 1506803566736325646222360409, 'val': 1}
  • id: 106825
    {'lmfdb_iso': '3234.u', 'p': 31, 'prec': 20, 'unit': 3036957204586140569015490978, 'val': 1}
  • id: 106838
    {'lmfdb_iso': '3234.u', 'p': 37, 'prec': 20, 'unit': 488127638946534534678300767877, 'val': 1}
  • id: 106826
    {'lmfdb_iso': '3234.u', 'p': 41, 'prec': 20, 'unit': 1407350398952891526070515609982, 'val': 1}
  • id: 106827
    {'lmfdb_iso': '3234.u', 'p': 43, 'prec': 20, 'unit': 4026863156302310483917774087800, 'val': 1}
  • id: 106836
    {'lmfdb_iso': '3234.u', 'p': 47, 'prec': 20, 'unit': 53508444108015692327683452370813, 'val': 1}
  • id: 106833
    {'lmfdb_iso': '3234.u', 'p': 53, 'prec': 20, 'unit': 535317126372391734237557420535339, 'val': 1}
  • id: 106822
    {'lmfdb_iso': '3234.u', 'p': 59, 'prec': 20, 'unit': 2921149735002953413380382153275482, 'val': 1}
  • id: 106837
    {'lmfdb_iso': '3234.u', 'p': 61, 'prec': 20, 'unit': 881689289081570405354192787034442, 'val': 1}
  • id: 106824
    {'lmfdb_iso': '3234.u', 'p': 71, 'prec': 20, 'unit': 102980875460581371038996429317134802, 'val': 1}
  • id: 106834
    {'lmfdb_iso': '3234.u', 'p': 73, 'prec': 20, 'unit': 218947933076081329396410040269645593, 'val': 1}
  • id: 106830
    {'lmfdb_iso': '3234.u', 'p': 79, 'prec': 20, 'unit': 649918111032034122267412235536802929, 'val': 1}
  • id: 106821
    {'lmfdb_iso': '3234.u', 'p': 83, 'prec': 20, 'unit': 688956688668041442421240164175150879, 'val': 1}
  • id: 106835
    {'lmfdb_iso': '3234.u', 'p': 89, 'prec': 20, 'unit': 8353450675384161857567814198672287976, 'val': 1}