Elliptic curve data - 76050.ge1

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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': '76050ex', 'Clabel': '76050ex1', 'Cnumber': 1, 'abc_quality': 0.8051698317586183, 'absD': 6861550333950, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 312, 'ainvs': [1, -1, 1, 3010, -109573], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 76050, 'degree': 225792, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1471660561767304867513062160', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 160, 'isogeny_degrees': [1], 'jinv': [34295, 78], 'lmfdb_iso': '76050.ge', 'lmfdb_label': '76050.ge1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 2, 2], 'min_quad_twist_disc': -39, 'modell_images': [], 'modm_images': ['312.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1051481667812965223081583047', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 38025], [3, 8, 8450], [5, 10, 3042], [13, 98, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.95285441896044278940652001211', 'prec': 107}, 'szpiro_ratio': 3.2669784943502096, '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, 0, 1, 0, 0, 4, 1, 0, 0, 4, 0, 0, 4, 0, 1, 4, 0, -7, 0], 'aplist': [1, 0, 0, 4, 4, 0, 4, -7, -4, -5, -4, -9, -5, -10, 3, -9, -6, 4, 7, -15, -12, 7, 6, 14, 16], 'class_deg': 1, 'class_size': 1, 'conductor': 76050, 'isogeny_matrix': [[1]], 'lmfdb_iso': '76050.ge', 'trace_hash': 393231415248544556}
• 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': '0.10082871303663403133513717496', 'prec': 103}, 'conductor': 76050, 'gens': [[2565, 130207, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '4.1051481667812965223081583047', 'prec': 100}], 'lmfdb_label': '76050.ge1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.38767736374835208496817254158', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.731784152753227385628416350675486558', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': 'a', '7': [3, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '76050.ge1'}
• ec_torsion_growth •

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

  
  
  • id: 3596534
    {'degree': 3, 'field': [-33, -3, -1, 1], 'lmfdb_label': '76050.ge1', 'torsion': [2]}
  • id: 3596535
    {'degree': 6, 'field': [1296, 1728, 726, 132, 31, -2, 1], 'lmfdb_label': '76050.ge1', 'torsion': [2, 2]}
  • id: 3596536
    {'degree': 8, 'field': [-12454, 18642, -15392, 4849, -585, 104, 38, -3, 1], 'lmfdb_label': '76050.ge1', 'torsion': [3]}
  • id: 3596537
    {'degree': 12, 'field': [-75264, 344064, -403456, 179840, -28660, 1824, 1876, 176, 455, -120, 4, -4, 1], 'lmfdb_label': '76050.ge1', '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: 1849384
    {'conductor': 76050, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '76050.ge1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1849385
    {'conductor': 76050, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '76050.ge1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1849386
    {'conductor': 76050, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '76050.ge1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1849387
    {'conductor': 76050, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '76050.ge1', 'prime': 13, '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

  
  {'adelic_gens': [[145, 2, 145, 3], [311, 2, 310, 3], [1, 1, 311, 0], [79, 2, 0, 1], [209, 2, 209, 3], [1, 0, 2, 1], [1, 2, 0, 1], [157, 2, 157, 3]], 'adelic_image': '312.2.0.?', 'conductor': 76050, 'lmfdb_label': '76050.ge1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 3915522
    {'lmfdb_iso': '76050.ge', 'p': 7, 'prec': 20, 'unit': 241013071208886, 'val': 2}
  • id: 3915527
    {'lmfdb_iso': '76050.ge', 'p': 11, 'prec': 20, 'unit': 8968714224804437221, 'val': 1}
  • id: 3915528
    {'lmfdb_iso': '76050.ge', 'p': 17, 'prec': 20, 'unit': 217681994571695042983269, 'val': 1}
  • id: 3915529
    {'lmfdb_iso': '76050.ge', 'p': 19, 'prec': 20, 'unit': 469649796065116719957687, 'val': 1}
  • id: 3915533
    {'lmfdb_iso': '76050.ge', 'p': 23, 'prec': 20, 'unit': 2620164175039130955393170, 'val': 2}
  • id: 3915525
    {'lmfdb_iso': '76050.ge', 'p': 29, 'prec': 20, 'unit': 36344055183992576261808733, 'val': 1}
  • id: 3915538
    {'lmfdb_iso': '76050.ge', 'p': 31, 'prec': 20, 'unit': 619841057083791403508056048, 'val': 2}
  • id: 3915521
    {'lmfdb_iso': '76050.ge', 'p': 37, 'prec': 20, 'unit': 1566151234858459004787987926, 'val': 1}
  • id: 3915523
    {'lmfdb_iso': '76050.ge', 'p': 41, 'prec': 20, 'unit': 2353352004183389211558255933767, 'val': 1}
  • id: 3915524
    {'lmfdb_iso': '76050.ge', 'p': 43, 'prec': 20, 'unit': 199067827795798357050113205251, 'val': 1}
  • id: 3915536
    {'lmfdb_iso': '76050.ge', 'p': 47, 'prec': 20, 'unit': 30469693018922635974334803339939, 'val': 1}
  • id: 3915530
    {'lmfdb_iso': '76050.ge', 'p': 53, 'prec': 20, 'unit': 460440420299372153547349618857083, 'val': 1}
  • id: 3915531
    {'lmfdb_iso': '76050.ge', 'p': 59, 'prec': 20, 'unit': 3775370545154768479560134672509693, 'val': 1}
  • id: 3915537
    {'lmfdb_iso': '76050.ge', 'p': 61, 'prec': 20, 'unit': 3538874173964794878011058922530536, 'val': 1}
  • id: 3915520
    {'lmfdb_iso': '76050.ge', 'p': 67, 'prec': 20, 'unit': 17740645032798734980937666117449083, 'val': 1}
  • id: 3915535
    {'lmfdb_iso': '76050.ge', 'p': 71, 'prec': 20, 'unit': 128460489422607214836181911990480083, 'val': 1}
  • id: 3915532
    {'lmfdb_iso': '76050.ge', 'p': 73, 'prec': 20, 'unit': 223497905369653840613021143913217797, 'val': 1}
  • id: 3915526
    {'lmfdb_iso': '76050.ge', 'p': 79, 'prec': 20, 'unit': 154263157321003775947747950210251213, 'val': 1}
  • id: 3915519
    {'lmfdb_iso': '76050.ge', 'p': 83, 'prec': 20, 'unit': 2035653899388150662224693403091988914, 'val': 1}
  • id: 3915534
    {'lmfdb_iso': '76050.ge', 'p': 89, 'prec': 20, 'unit': 3883387727075713730924513720827549041, 'val': 1}
  • id: 3915518
    {'lmfdb_iso': '76050.ge', 'p': 97, 'prec': 20, 'unit': 1677319928027136541167942988449392245, 'val': 1}