Elliptic curve data - 29040.s1

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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': '29040bz', 'Clabel': '29040bz2', 'Cnumber': 2, 'abc_quality': 1.0696334828816438, 'absD': 370412146368000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 12, 'ainvs': [0, -1, 0, -11599221, 15209067645], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 29040, 'degree': 1026432, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6186199289427500056507336706', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 18, 'isogeny_degrees': [1, 3], 'jinv': [-196566176333824, 421875], 'lmfdb_iso': '29040.s', 'lmfdb_label': '29040.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -5991, 176501], 'min_quad_twist_disc': 44, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '12.16.0-6.b.1.2'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2661575951928142414727120297', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 363], [3, 4, 1936], [5, 6, 5808], [11, 52, 240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.32687589985055766685887249717', 'prec': 103}, 'szpiro_ratio': 5.878788202279233, '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, -1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 6, 0, 7, 0], 'aplist': [0, -1, -1, 1, 0, 2, 6, 7, 6, 0, 1, -7, -6, -8, 0, -6, 12, -1, 7, -6, -13, -11, 0, -18, -1], 'class_deg': 3, 'class_size': 2, 'conductor': 29040, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '29040.s', 'trace_hash': 273526547969146153}
• 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': '0.0053149065062662999667648752962', 'prec': 110}, 'conductor': 29040, 'gens': [[20452, 650375, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '3.2661575951928142414727120297', 'prec': 100}], 'lmfdb_label': '29040.s1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.25987429896629489337006837135', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0927424921850330849428173913405171342', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [5, 0], '7': [1, 0], '11': 'a', '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '29040.s1'}
• ec_torsion_growth •

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

  
  
  • id: 1454768
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '29040.s1', 'torsion': [3]}
  • id: 1454769
    {'degree': 3, 'field': [13, -7, -1, 1], 'lmfdb_label': '29040.s1', 'torsion': [2]}
  • id: 1454772
    {'degree': 6, 'field': [13, -22, 37, -22, -1, 0, 1], 'lmfdb_label': '29040.s1', 'torsion': [6]}
  • id: 1454770
    {'degree': 6, 'field': [75, 0, -29, 0, 1, 0, 1], 'lmfdb_label': '29040.s1', 'torsion': [2, 2]}
  • id: 1454771
    {'degree': 6, 'field': [121, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '29040.s1', 'torsion': [3]}
  • id: 1454773
    {'degree': 12, 'field': [-48, 0, -352, 0, 768, 0, -440, 0, -4, 0, 0, 0, 1], 'lmfdb_label': '29040.s1', 'torsion': [4]}
  • id: 1454775
    {'degree': 12, 'field': [169, -286, 449, -348, 222, -38, -19, 22, 8, -20, 15, -6, 1], 'lmfdb_label': '29040.s1', 'torsion': [2, 6]}
  • id: 1454774
    {'degree': 12, 'field': [20736, 0, 9072, 0, 3537, 0, 477, 0, 72, 0, -3, 0, 1], 'lmfdb_label': '29040.s1', 'torsion': [3, 3]}
  • id: 1454776
    {'degree': 18, 'field': [-21242763, 0, 31696272, 0, 15361740, 0, -843158, 0, -353052, 0, 91764, 0, -8131, 0, 540, 0, -36, 0, 1], 'lmfdb_label': '29040.s1', 'torsion': [9]}
  • id: 1454777
    {'degree': 18, 'field': [4096, 0, -5376, 0, -4752, 0, 2769, 0, 3849, 0, 1482, 0, 177, 0, -18, 0, -3, 0, 1], 'lmfdb_label': '29040.s1', 'torsion': [6]}
• 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: 674665
    {'conductor': 29040, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '29040.s1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 674666
    {'conductor': 29040, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '29040.s1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 674667
    {'conductor': 29040, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '29040.s1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 674668
    {'conductor': 29040, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '29040.s1', '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

  
  
  • id: 1858239
    {'adelic_gens': [[4, 3, 9, 7], [1, 6, 0, 1], [5, 0, 0, 11], [1, 0, 6, 1], [11, 6, 0, 5], [3, 4, 8, 11], [7, 6, 6, 7], [10, 3, 11, 2], [9, 10, 8, 5]], 'adelic_image': '12.16.0.?', 'conductor': 29040, 'lmfdb_label': '29040.s1', 'prime': 0}
  • id: 131199
    {'conductor': 29040, 'elladic_image': '3.4.0.1', 'lmfdb_label': '29040.s1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1400782
    {'lmfdb_iso': '29040.s', 'p': 7, 'prec': 20, 'unit': 19228270692669718, 'val': -1}
  • id: 1400785
    {'lmfdb_iso': '29040.s', 'p': 13, 'prec': 20, 'unit': 77098929399370342941, 'val': 2}
  • id: 1400787
    {'lmfdb_iso': '29040.s', 'p': 17, 'prec': 20, 'unit': 116372033702458813176452, 'val': 1}
  • id: 1400788
    {'lmfdb_iso': '29040.s', 'p': 19, 'prec': 20, 'unit': 1499367523142998621509372, 'val': 1}
  • id: 1400791
    {'lmfdb_iso': '29040.s', 'p': 23, 'prec': 20, 'unit': 22584136632474985522322047, 'val': 1}
  • id: 1400796
    {'lmfdb_iso': '29040.s', 'p': 31, 'prec': 20, 'unit': 389954825393629095029893160630, 'val': -1}
  • id: 1400781
    {'lmfdb_iso': '29040.s', 'p': 37, 'prec': 20, 'unit': 295167656850088613899475572890, 'val': 1}
  • id: 1400783
    {'lmfdb_iso': '29040.s', 'p': 41, 'prec': 20, 'unit': 1443852762109407767032963914436, 'val': 1}
  • id: 1400784
    {'lmfdb_iso': '29040.s', 'p': 43, 'prec': 20, 'unit': 9821107338742658448872619273464, 'val': 1}
  • id: 1400789
    {'lmfdb_iso': '29040.s', 'p': 53, 'prec': 20, 'unit': 258707158993042686232069656057507, 'val': 1}
  • id: 1400794
    {'lmfdb_iso': '29040.s', 'p': 59, 'prec': 20, 'unit': 1210327233300532746801522662455768, 'val': 1}
  • id: 1400795
    {'lmfdb_iso': '29040.s', 'p': 61, 'prec': 20, 'unit': 8027217123545085748455893814026243, 'val': 1}
  • id: 1400780
    {'lmfdb_iso': '29040.s', 'p': 67, 'prec': 20, 'unit': 43772996143009238530086875016072898, 'val': 1}
  • id: 1400793
    {'lmfdb_iso': '29040.s', 'p': 71, 'prec': 20, 'unit': 143080598382884325647326330830316232, 'val': 1}
  • id: 1400790
    {'lmfdb_iso': '29040.s', 'p': 73, 'prec': 20, 'unit': 1487630614238847782399899584110842, 'val': 2}
  • id: 1400786
    {'lmfdb_iso': '29040.s', 'p': 79, 'prec': 20, 'unit': 1016317000283628491310448391344582185, 'val': 1}
  • id: 1400792
    {'lmfdb_iso': '29040.s', 'p': 89, 'prec': 20, 'unit': 2042328877607061895583894318712969704, 'val': 1}
  • id: 1400779
    {'lmfdb_iso': '29040.s', 'p': 97, 'prec': 20, 'unit': 24681774021060771674819355973529988969, 'val': 1}