Elliptic curve data - 71630.v2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '71630x', 'Clabel': '71630x1', 'Cnumber': 1, 'abc_quality': 1.006892666415928, 'absD': 5607507702833920000000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 77140, 'ainvs': [1, -1, 1, -265716552, 1667217712779], 'analytic_rank': 1, 'bad_primes': [2, 5, 13, 19, 29], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 71630, 'degree': 26254592, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4073011602687455781638744244', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 7], 'jinv': [2074815747201021028933709986641, 5607507702833920000000], 'lmfdb_iso': '71630.v', 'lmfdb_label': '71630.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -265716552, 1667217712779], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '11020.2.0.?', '77140.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2570873815132427145303379356', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 2755], [5, 6, 14326], [7, 2, 377], [13, 14, 5510], [19, 20, 3770], [29, 30, 2470]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4073011602687455781638744244', 'prec': 100}, 'szpiro_ratio': 6.24436387763295, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}
• 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, 1, 1, 6, 1, 5, -3, -1, 1, -3, 1, -3, 6, 1, 1], 'aplist': [1, -3, 1, 1, 5, -1, -3, 1, 3, 1, 4, -4, -7, 2, 6, -9, 11, -8, -2, 9, -10, -4, 0, 6, 0], 'class_deg': 7, 'class_size': 2, 'conductor': 71630, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '71630.v', 'trace_hash': 1244560985209592429}
• 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': '0.0010976296141470857844802067406', 'prec': 110}, 'conductor': 71630, 'gens': [[9337, 7681, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2570873815132427145303379356', 'prec': 100}], 'lmfdb_label': '71630.v2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11741425693870218870553452208', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4203986568907555528034936228818770778', 'prec': 130}, 'tamagawa_product': 1372, 'torsion_generators': [[9437, -919, 1]], 'xcoord_integral_points': [-11463, 7309, 9337, 9437, 9817, 17037]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 1, 0], '5': [4, 0], '7': [51, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [2, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '71630.v2'}
• ec_torsion_growth •

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

  
  
  • id: 3401014
    {'degree': 3, 'field': [-10, -16, -1, 1], 'lmfdb_label': '71630.v2', 'torsion': [14]}
  • id: 3401015
    {'degree': 6, 'field': [-11020, 0, 2401, 0, -98, 0, 1], 'lmfdb_label': '71630.v2', 'torsion': [2, 14]}
  • id: 3401016
    {'degree': 8, 'field': [-137180, 115520, -116660, 2279, -1136, -7, 7, -4, 1], 'lmfdb_label': '71630.v2', 'torsion': [21]}
  • id: 3401017
    {'degree': 12, 'field': [-1191618200, 130237600, 73132330, 67704660, 17381822, 3251502, 269117, -18568, -8965, -1334, -49, -4, 1], 'lmfdb_label': '71630.v2', 'torsion': [28]}
• 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: 1737975
    {'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '71630.v2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 1737976
    {'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '71630.v2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 1737977
    {'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '71630.v2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1737978
    {'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '71630.v2', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 1737979
    {'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '71630.v2', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2138006
    {'adelic_gens': [[8, 7, 38563, 77134], [77127, 14, 77126, 15], [15436, 7, 15421, 77134], [8, 5, 91, 57], [1, 14, 0, 1], [74488, 7, 50533, 77134], [1, 0, 14, 1], [20308, 7, 69013, 77134], [38571, 14, 0, 49591]], 'adelic_image': '77140.96.2.?', 'conductor': 71630, 'lmfdb_label': '71630.v2', 'prime': 0}
  • id: 297934
    {'conductor': 71630, 'elladic_image': '7.48.0.1', 'lmfdb_label': '71630.v2', 'modell_image': '7B.1.1', 'prime': 7}
• ec_padic •

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

  
  
  • id: 3677884
    {'lmfdb_iso': '71630.v', 'p': 7, 'prec': 20, 'unit': 75420111986076748, 'val': 0}
  • id: 3677886
    {'lmfdb_iso': '71630.v', 'p': 11, 'prec': 20, 'unit': 51595361578966808452, 'val': 1}
  • id: 3677888
    {'lmfdb_iso': '71630.v', 'p': 17, 'prec': 20, 'unit': 139850774733615424277790, 'val': 1}
  • id: 3677893
    {'lmfdb_iso': '71630.v', 'p': 23, 'prec': 20, 'unit': 25093883682864749461365536, 'val': 1}
  • id: 3677898
    {'lmfdb_iso': '71630.v', 'p': 31, 'prec': 20, 'unit': 14060084361613935258862568606, 'val': 1}
  • id: 3677883
    {'lmfdb_iso': '71630.v', 'p': 37, 'prec': 20, 'unit': 2823808579914326912715684011, 'val': 2}
  • id: 3677885
    {'lmfdb_iso': '71630.v', 'p': 41, 'prec': 20, 'unit': 3680082509299699018833194680116, 'val': 1}
  • id: 3677882
    {'lmfdb_iso': '71630.v', 'p': 43, 'prec': 20, 'unit': 5944573736566004537528926370264, 'val': 1}
  • id: 3677896
    {'lmfdb_iso': '71630.v', 'p': 47, 'prec': 20, 'unit': 45624762673935010548064122437969, 'val': 1}
  • id: 3677890
    {'lmfdb_iso': '71630.v', 'p': 53, 'prec': 20, 'unit': 104995547626020896408602109306717, 'val': 1}
  • id: 3677891
    {'lmfdb_iso': '71630.v', 'p': 59, 'prec': 20, 'unit': 1341697176784308198801004625258339, 'val': 1}
  • id: 3677897
    {'lmfdb_iso': '71630.v', 'p': 61, 'prec': 20, 'unit': 5392750857584736425817586995144901, 'val': 1}
  • id: 3677889
    {'lmfdb_iso': '71630.v', 'p': 67, 'prec': 20, 'unit': 8337743891876683812043109558625069, 'val': 1}
  • id: 3677895
    {'lmfdb_iso': '71630.v', 'p': 71, 'prec': 20, 'unit': 82058110896586984306192473264440757, 'val': 1}
  • id: 3677892
    {'lmfdb_iso': '71630.v', 'p': 73, 'prec': 20, 'unit': 54758384670913566001676787740969644, 'val': 1}
  • id: 3677887
    {'lmfdb_iso': '71630.v', 'p': 79, 'prec': 20, 'unit': 111617524108470955233805854419060823, 'val': 1}
  • id: 3677894
    {'lmfdb_iso': '71630.v', 'p': 89, 'prec': 20, 'unit': 7127963120876260217943402970945751860, 'val': 1}