Elliptic curve data - 29645.n1

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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': '29645f', 'Clabel': '29645f1', 'Cnumber': 1, 'abc_quality': 0.9423217100928643, 'absD': 78809712471153125, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 20, 'ainvs': [1, -1, 0, -69295, 15239846], 'analytic_rank': 1, 'bad_primes': [5, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 29645, 'degree': 435600, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9310647239117995513141453141', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1], 'jinv': [-1459161, 3125], 'lmfdb_iso': '29645.n', 'lmfdb_label': '29645.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -12, 36], 'min_quad_twist_disc': 77, 'modell_images': [], 'modm_images': ['20.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.277857141315779791188228392', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.64048719914810413061316010960', 'prec': 107}, 'szpiro_ratio': 4.525541237040448, '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, 1, 3, -1, -1, 3, 0, -3, 6, -1, 0, -3, 4, 0, -3, -1, 0, 6, 4, 1], 'aplist': [1, 3, -1, 0, 0, 4, 0, 4, -8, -6, 2, -8, -5, -5, 3, 4, 2, -11, -13, 2, -8, -10, 4, -1, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 29645, 'isogeny_matrix': [[1]], 'lmfdb_iso': '29645.n', 'trace_hash': 2000855449542747940}
• 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': '0.021023184050349720874754619740', 'prec': 107}, 'conductor': 29645, 'gens': [[-1304234, 6396183182, 111]], 'heights': [{'__RealLiteral__': 0, 'data': '12.277857141315779791188228392', 'prec': 100}], 'lmfdb_label': '29645.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30493920465570658411411036945', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.231999974647663505612291879816585461', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [1, 1, 0], '5': [1, 0], '7': 'a', '11': 'a', '13': [1, 0], '17': [1, 3, 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': '29645.n1'}
• ec_torsion_growth •

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

  
  
  • id: 1483913
    {'degree': 3, 'field': [-20, 4, -1, 1], 'lmfdb_label': '29645.n1', 'torsion': [2]}
  • id: 1483914
    {'degree': 6, 'field': [5, 0, 71, 0, -13, 0, 1], 'lmfdb_label': '29645.n1', 'torsion': [2, 2]}
  • id: 1483915
    {'degree': 8, 'field': [15, -234, -327, -165, -15, -18, -12, 0, 1], 'lmfdb_label': '29645.n1', 'torsion': [3]}
  • id: 1483916
    {'degree': 12, 'field': [-277196, -130433, 229225, 57253, 53643, 14668, 10540, 1128, 772, 81, 31, -1, 1], 'lmfdb_label': '29645.n1', '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: 690002
    {'conductor': 29645, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '29645.n1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 690003
    {'conductor': 29645, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '29645.n1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 690004
    {'conductor': 29645, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '29645.n1', 'prime': 11, 'reduction_type': 0, '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

  
  {'adelic_gens': [[1, 2, 0, 1], [1, 1, 19, 0], [17, 2, 17, 3], [1, 0, 2, 1], [11, 2, 11, 3], [19, 2, 18, 3]], 'adelic_image': '20.2.0.?', 'conductor': 29645, 'lmfdb_label': '29645.n1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1432053
    {'lmfdb_iso': '29645.n', 'p': 13, 'prec': 20, 'unit': 326084303234769295876, 'val': 1}
  • id: 1432056
    {'lmfdb_iso': '29645.n', 'p': 19, 'prec': 20, 'unit': 114158498797413763245921, 'val': 1}
  • id: 1432059
    {'lmfdb_iso': '29645.n', 'p': 23, 'prec': 20, 'unit': 72987320142154727195371007, 'val': 1}
  • id: 1432052
    {'lmfdb_iso': '29645.n', 'p': 29, 'prec': 20, 'unit': 3887658093241052614937242759, 'val': 1}
  • id: 1432063
    {'lmfdb_iso': '29645.n', 'p': 31, 'prec': 20, 'unit': 17890967925587005589455844, 'val': 1}
  • id: 1432048
    {'lmfdb_iso': '29645.n', 'p': 37, 'prec': 20, 'unit': 42048667893845412300062368152, 'val': 1}
  • id: 1432050
    {'lmfdb_iso': '29645.n', 'p': 41, 'prec': 20, 'unit': 4088152058963299602802024894015, 'val': 1}
  • id: 1432051
    {'lmfdb_iso': '29645.n', 'p': 43, 'prec': 20, 'unit': 2126759236734445835164312717393, 'val': 1}
  • id: 1432061
    {'lmfdb_iso': '29645.n', 'p': 47, 'prec': 20, 'unit': 11016478379332373101087893923977, 'val': 1}
  • id: 1432057
    {'lmfdb_iso': '29645.n', 'p': 53, 'prec': 20, 'unit': 161994003905774567502981055228370, 'val': 1}
  • id: 1432055
    {'lmfdb_iso': '29645.n', 'p': 59, 'prec': 20, 'unit': 1417763987163577990483426417618436, 'val': 1}
  • id: 1432062
    {'lmfdb_iso': '29645.n', 'p': 61, 'prec': 20, 'unit': 6425609298228572898606770812618627, 'val': 1}
  • id: 1432047
    {'lmfdb_iso': '29645.n', 'p': 67, 'prec': 20, 'unit': 29171666710084866745317009931644381, 'val': 1}
  • id: 1432049
    {'lmfdb_iso': '29645.n', 'p': 71, 'prec': 20, 'unit': 97227275523395611557967851128907943, 'val': 1}
  • id: 1432058
    {'lmfdb_iso': '29645.n', 'p': 73, 'prec': 20, 'unit': 94977823196348080956846212427371314, 'val': 1}
  • id: 1432054
    {'lmfdb_iso': '29645.n', 'p': 79, 'prec': 20, 'unit': 552007927767293322570438904819766270, 'val': 1}
  • id: 1432046
    {'lmfdb_iso': '29645.n', 'p': 83, 'prec': 20, 'unit': 26152108772122826069558620767378920, 'val': 1}
  • id: 1432060
    {'lmfdb_iso': '29645.n', 'p': 89, 'prec': 20, 'unit': 4929545750099412609821898953894175218, 'val': 1}
  • id: 1432045
    {'lmfdb_iso': '29645.n', 'p': 97, 'prec': 20, 'unit': 33148772339852860928529456315516794532, 'val': 1}