Elliptic curve data - 5618.a2

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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': '5618b', 'Clabel': '5618b1', 'Cnumber': 1, 'abc_quality': 0.9743332313747143, 'absD': 19708382530651553792, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 636, 'ainvs': [1, 1, 0, -795005, -346829891], 'analytic_rank': 1, 'bad_primes': [2, 53], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 5618, 'degree': 134784, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4132369982361988319206327453', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-2507141976625, 889192448], 'lmfdb_iso': '5618.a', 'lmfdb_label': '5618.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -283, -2351], 'min_quad_twist_disc': 53, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.3', '159.8.0.?', '212.2.0.?', '636.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.1758390473126937533294668514', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.42809104146013791484839817578', 'prec': 103}, 'szpiro_ratio': 6.1213309039684205, '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, -1, 1, 0, 1, -4, -1, -2, 0, 0, -1, 5, 4, 0, 1, -3, 2, 1, 0], 'aplist': [-1, -1, 0, -4, 0, 5, -3, 1, -3, 9, 4, 5, -6, -10, 6, 0, 6, -8, 4, 3, 4, 13, -3, 18, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 5618, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '5618.a', 'trace_hash': 471279600627779841}
• 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': '0.0080147314735308285934555609281', 'prec': 110}, 'conductor': 5618, 'gens': [[1345242, 1428490549, 23]], 'heights': [{'__RealLiteral__': 0, 'data': '6.1758390473126937533294668514', 'prec': 100}], 'lmfdb_label': '5618.a2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.078542689718818215221653002191', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9402680401857711708220134637607139682', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [3, 0], '5': [1, 1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 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], '53': 'a'}, 'iwp0': 0, 'lmfdb_label': '5618.a2'}
• ec_torsion_growth •

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

  
  
  • id: 293164
    {'degree': 2, 'field': [-13, -1, 1], 'lmfdb_label': '5618.a2', 'torsion': [3]}
  • id: 293165
    {'degree': 3, 'field': [-2, 4, -1, 1], 'lmfdb_label': '5618.a2', 'torsion': [2]}
  • id: 293168
    {'degree': 6, 'field': [-11, 15, -3, -2, -3, -1, 1], 'lmfdb_label': '5618.a2', 'torsion': [6]}
  • id: 293166
    {'degree': 6, 'field': [62, -94, 57, -6, -4, 0, 1], 'lmfdb_label': '5618.a2', 'torsion': [2, 2]}
  • id: 293167
    {'degree': 6, 'field': [82, -83, 97, -29, 17, -3, 1], 'lmfdb_label': '5618.a2', 'torsion': [3]}
  • id: 293169
    {'degree': 12, 'field': [-64, 54, -147, 48, -89, 26, -43, 8, -23, -2, 11, -4, 1], 'lmfdb_label': '5618.a2', 'torsion': [4]}
  • id: 293171
    {'degree': 12, 'field': [4, 12, 18, -74, 109, -62, 8, 6, 31, -4, 0, 0, 1], 'lmfdb_label': '5618.a2', 'torsion': [2, 6]}
  • id: 293170
    {'degree': 12, 'field': [2704, 312, 816, -2170, 885, 192, 35, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '5618.a2', 'torsion': [3, 3]}
  • id: 293172
    {'degree': 18, 'field': [-1801673, 7110039, -8192784, -1224537, 8670297, -4879698, -1041987, 1685787, -189327, -224948, 22023, 40365, -7489, -3534, 891, 161, -48, -3, 1], 'lmfdb_label': '5618.a2', 'torsion': [9]}
  • id: 293173
    {'degree': 18, 'field': [10000, -22500, 31750, -10220, 16623, -13102, 5004, 1390, 597, 420, -371, 314, 237, -212, 207, -82, 30, -6, 1], 'lmfdb_label': '5618.a2', '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: 110518
    {'conductor': 5618, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '5618.a2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 110519
    {'conductor': 5618, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '5618.a2', 'prime': 53, '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

  
  
  • id: 1700681
    {'adelic_gens': [[263, 630, 153, 617], [4, 3, 9, 7], [54, 589, 265, 531], [631, 6, 630, 7], [1, 6, 0, 1], [3, 4, 8, 11], [319, 6, 321, 19], [1, 0, 6, 1]], 'adelic_image': '636.16.0.?', 'conductor': 5618, 'lmfdb_label': '5618.a2', 'prime': 0}
  • id: 27723
    {'conductor': 5618, 'elladic_image': '3.4.0.1', 'lmfdb_label': '5618.a2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 212947
    {'lmfdb_iso': '5618.a', 'p': 7, 'prec': 20, 'unit': 10029929156203494, 'val': 1}
  • id: 212951
    {'lmfdb_iso': '5618.a', 'p': 13, 'prec': 20, 'unit': 492793331619506756342, 'val': 1}
  • id: 212953
    {'lmfdb_iso': '5618.a', 'p': 17, 'prec': 20, 'unit': 218495988499276595570393, 'val': 1}
  • id: 212954
    {'lmfdb_iso': '5618.a', 'p': 19, 'prec': 20, 'unit': 19240716536465104226107767, 'val': -1}
  • id: 212957
    {'lmfdb_iso': '5618.a', 'p': 23, 'prec': 20, 'unit': 29683168737330454416834802, 'val': 1}
  • id: 212950
    {'lmfdb_iso': '5618.a', 'p': 29, 'prec': 20, 'unit': 5503259937256186216269555769, 'val': 1}
  • id: 212962
    {'lmfdb_iso': '5618.a', 'p': 31, 'prec': 20, 'unit': 715091537092547948312927104, 'val': 1}
  • id: 212946
    {'lmfdb_iso': '5618.a', 'p': 37, 'prec': 20, 'unit': 132706895327225218844002345408, 'val': 1}
  • id: 212948
    {'lmfdb_iso': '5618.a', 'p': 41, 'prec': 20, 'unit': 1413844468708754483834912469917, 'val': 1}
  • id: 212949
    {'lmfdb_iso': '5618.a', 'p': 43, 'prec': 20, 'unit': 2376920258879153199506578131920, 'val': 1}
  • id: 212960
    {'lmfdb_iso': '5618.a', 'p': 47, 'prec': 20, 'unit': 34656116446113111523918130640936, 'val': 1}
  • id: 212955
    {'lmfdb_iso': '5618.a', 'p': 59, 'prec': 20, 'unit': 3641503466326135895954763489118156, 'val': 1}
  • id: 212961
    {'lmfdb_iso': '5618.a', 'p': 61, 'prec': 20, 'unit': 4345123511911799072311223478234290, 'val': 1}
  • id: 212945
    {'lmfdb_iso': '5618.a', 'p': 67, 'prec': 20, 'unit': 46951607082392077339745924351869712, 'val': 1}
  • id: 212959
    {'lmfdb_iso': '5618.a', 'p': 71, 'prec': 20, 'unit': 76274027536320360623830629681920043, 'val': 1}
  • id: 212956
    {'lmfdb_iso': '5618.a', 'p': 73, 'prec': 20, 'unit': 47589222764048867527768406328024915, 'val': 1}
  • id: 212952
    {'lmfdb_iso': '5618.a', 'p': 79, 'prec': 20, 'unit': 252561363684108042034095953927684346, 'val': 1}
  • id: 212944
    {'lmfdb_iso': '5618.a', 'p': 83, 'prec': 20, 'unit': 1457295334462227115206081814607138850, 'val': 1}
  • id: 212958
    {'lmfdb_iso': '5618.a', 'p': 89, 'prec': 20, 'unit': 9976448456809727778734265209833085051, 'val': 1}
  • id: 212943
    {'lmfdb_iso': '5618.a', 'p': 97, 'prec': 20, 'unit': 24004621674050095234669786819409070155, 'val': 1}