Elliptic curve data - 3700.a1

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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': '3700e', 'Clabel': '3700e1', 'Cnumber': 1, 'abc_quality': 1.065299981659363, 'absD': 108349932812500000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 74, 'ainvs': [0, 0, 0, -5486200, 4920596500], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 3700, 'degree': 299520, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6842178812062676016797077863', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [4565397831743545344, 27087483203125], 'lmfdb_iso': '3700.a', 'lmfdb_label': '3700.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -219448, 39364772], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['74.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3034625185912299703973273750', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 925], [5, 18, 4], [37, 38, 100]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4174008046159205414345067054', 'prec': 100}, 'szpiro_ratio': 7.079627379014539, '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, -3, 0, 0, 0, 3, 0, 6, 0, 5, 0, -2, 0, 0, 0, -4, 0, -4, 0], 'aplist': [0, -3, 0, 3, 5, -2, -4, -4, -6, 6, -4, 1, -9, -10, 11, 11, -8, -8, 8, 3, -7, 8, 9, -16, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 3700, 'isogeny_matrix': [[1]], 'lmfdb_iso': '3700.a', 'trace_hash': 1686559431193864007}
• 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': '0.0046614171743414115329449548014', 'prec': 110}, 'conductor': 3700, 'gens': [[765, 34225, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3034625185912299703973273750', 'prec': 100}], 'lmfdb_label': '3700.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18894749033596846461999657745', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4628597163481353998015858760247191117', 'prec': 130}, 'tamagawa_product': 10, 'torsion_generators': [], 'xcoord_integral_points': [765]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 1, 0], '5': 'a', '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3700.a1'}
• ec_torsion_growth •

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

  
  
  • id: 194169
    {'degree': 3, 'field': [1, -3, -1, 1], 'lmfdb_label': '3700.a1', 'torsion': [2]}
  • id: 194170
    {'degree': 6, 'field': [1, -5, 0, 9, -2, -3, 1], 'lmfdb_label': '3700.a1', 'torsion': [2, 2]}
  • id: 194171
    {'degree': 8, 'field': [69, -132, 300, -24, 90, -36, -12, 0, 1], 'lmfdb_label': '3700.a1', 'torsion': [3]}
  • id: 194172
    {'degree': 12, 'field': [10349, 1450, -10140, -454, 3627, -1112, -1080, 4, -125, -10, 20, -6, 1], 'lmfdb_label': '3700.a1', '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: 68694
    {'conductor': 3700, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '3700.a1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 68695
    {'conductor': 3700, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '3700.a1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 68696
    {'conductor': 3700, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '3700.a1', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• 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': [[39, 2, 39, 3], [73, 2, 72, 3], [1, 2, 0, 1], [1, 0, 2, 1], [1, 1, 73, 0]], 'adelic_image': '74.2.0.?', 'conductor': 3700, 'lmfdb_label': '3700.a1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 126454
    {'lmfdb_iso': '3700.a', 'p': 7, 'prec': 20, 'unit': 805855075982626, 'val': 2}
  • id: 126453
    {'lmfdb_iso': '3700.a', 'p': 11, 'prec': 20, 'unit': 47460799686344042551, 'val': 1}
  • id: 126458
    {'lmfdb_iso': '3700.a', 'p': 13, 'prec': 20, 'unit': 1023199626505308200417, 'val': 1}
  • id: 126460
    {'lmfdb_iso': '3700.a', 'p': 17, 'prec': 20, 'unit': 78958765471777511789933, 'val': 1}
  • id: 126461
    {'lmfdb_iso': '3700.a', 'p': 19, 'prec': 20, 'unit': 378437900482156592954493, 'val': 1}
  • id: 126465
    {'lmfdb_iso': '3700.a', 'p': 23, 'prec': 20, 'unit': 8206425571890378949107176, 'val': 1}
  • id: 126457
    {'lmfdb_iso': '3700.a', 'p': 29, 'prec': 20, 'unit': 107369066014134054641797954, 'val': 2}
  • id: 126471
    {'lmfdb_iso': '3700.a', 'p': 31, 'prec': 20, 'unit': 18476923413696639813292395500, 'val': 1}
  • id: 126455
    {'lmfdb_iso': '3700.a', 'p': 41, 'prec': 20, 'unit': 4123455054155271956346791330996, 'val': 1}
  • id: 126456
    {'lmfdb_iso': '3700.a', 'p': 43, 'prec': 20, 'unit': 892534282248502505129315277985, 'val': 1}
  • id: 126468
    {'lmfdb_iso': '3700.a', 'p': 47, 'prec': 20, 'unit': 26620243525986639946011964521992, 'val': 1}
  • id: 126462
    {'lmfdb_iso': '3700.a', 'p': 53, 'prec': 20, 'unit': 330402589116461174642300320410626, 'val': 1}
  • id: 126463
    {'lmfdb_iso': '3700.a', 'p': 59, 'prec': 20, 'unit': 1078556624728142877818434176534915, 'val': 1}
  • id: 126469
    {'lmfdb_iso': '3700.a', 'p': 61, 'prec': 20, 'unit': 3236359665451517195219961519006806, 'val': 1}
  • id: 126452
    {'lmfdb_iso': '3700.a', 'p': 67, 'prec': 20, 'unit': 3545960850785981881777674831365452, 'val': 1}
  • id: 126467
    {'lmfdb_iso': '3700.a', 'p': 71, 'prec': 20, 'unit': 38915987709383261438851719693056444, 'val': 1}
  • id: 126464
    {'lmfdb_iso': '3700.a', 'p': 73, 'prec': 20, 'unit': 122576747303535982265938490177728377, 'val': 1}
  • id: 126459
    {'lmfdb_iso': '3700.a', 'p': 79, 'prec': 20, 'unit': 963836527443835678873672675020862100, 'val': 1}
  • id: 126470
    {'lmfdb_iso': '3700.a', 'p': 83, 'prec': 20, 'unit': 355506545358268108293764390926095168, 'val': 1}
  • id: 126466
    {'lmfdb_iso': '3700.a', 'p': 89, 'prec': 20, 'unit': 9963594853522325784227725921010747641, 'val': 1}
  • id: 126451
    {'lmfdb_iso': '3700.a', 'p': 97, 'prec': 20, 'unit': 54737182647333074228332657148464666782, 'val': 1}