Elliptic curve data - 71630.v1

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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': '71630x2', 'Cnumber': 2, 'abc_quality': 1.0278037211856386, 'absD': 25809317141410280453312834380, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 77140, 'ainvs': [1, -1, 1, -6564370452, -204561760368501], 'analytic_rank': 1, 'bad_primes': [2, 5, 13, 19, 29], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 71630, 'degree': 183782144, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3802562347964022307165507961', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 7], 'jinv': [31282608380024362517498521417844241, 25809317141410280453312834380], 'lmfdb_iso': '71630.v', 'lmfdb_label': '71630.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -6564370452, -204561760368501], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '11020.2.0.?', '77140.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.799611670592699001712365549', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 2755], [5, 6, 14326], [7, 2, 190], [13, 14, 5510], [19, 20, 3770], [29, 30, 2470]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.3802562347964022307165507961', 'prec': 100}, 'szpiro_ratio': 7.104969790475718, '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, -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': '0.00015680423059244082635431524865', 'prec': 113}, 'conductor': 71630, 'gens': [[-156915777479, 1555865904838169, 1848]], 'heights': [{'__RealLiteral__': 0, 'data': '15.799611670592699001712365549', 'prec': 100}], 'lmfdb_label': '71630.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.016773465276957455529362074582', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4203986568907555528034936228818770778', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 1, 0], '5': [4, 0], '7': [51, 1], '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.v1'}
• ec_torsion_growth •

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

  
  
  • id: 3401018
    {'degree': 3, 'field': [-10, -16, -1, 1], 'lmfdb_label': '71630.v1', 'torsion': [2]}
  • id: 3401019
    {'degree': 6, 'field': [-11020, 0, 2401, 0, -98, 0, 1], 'lmfdb_label': '71630.v1', 'torsion': [2, 2]}
  • id: 3401020
    {'degree': 6, 'field': [1, -1, 1, -1, 1, -1, 1], 'lmfdb_label': '71630.v1', 'torsion': [7]}
  • id: 3401021
    {'degree': 7, 'field': [-7220, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '71630.v1', 'torsion': [7]}
  • id: 3401022
    {'degree': 8, 'field': [-137180, 115520, -116660, 2279, -1136, -7, 7, -4, 1], 'lmfdb_label': '71630.v1', 'torsion': [3]}
  • id: 3401023
    {'degree': 12, 'field': [-1191618200, 130237600, 73132330, 67704660, 17381822, 3251502, 269117, -18568, -8965, -1334, -49, -4, 1], 'lmfdb_label': '71630.v1', 'torsion': [4]}
  • id: 3401024
    {'degree': 18, 'field': [1000000, 1600000, 2460000, 3676000, 5475600, 8147360, 12120616, 1909856, 1028972, 243308, 95410, 25428, 6813, -1183, 325, -43, 17, -1, 1], 'lmfdb_label': '71630.v1', 'torsion': [14]}
  • id: 3401025
    {'degree': 21, 'field': [-2049228261680, 5613298885040, -2659010663120, 813825768560, -133094437280, 79335738720, -3209682280, -4930058816, -20723752, 103315856, -135152388, -35793436, -5888526, 2422868, 285541, -121373, -18991, 4151, 567, -91, -7, 1], 'lmfdb_label': '71630.v1', 'torsion': [14]}
• 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: 1737980
    {'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '71630.v1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1737981
    {'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '71630.v1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1737982
    {'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '71630.v1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1737983
    {'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '71630.v1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1737984
    {'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '71630.v1', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
• ec_galrep •

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

  
  
  • id: 2138005
    {'adelic_gens': [[12181, 14, 8127, 99], [77127, 14, 77126, 15], [38573, 11028, 77126, 16493], [8, 5, 91, 57], [1, 14, 0, 1], [1, 0, 14, 1], [30857, 14, 61719, 99], [47881, 14, 26607, 99], [38571, 14, 38577, 99]], 'adelic_image': '77140.96.2.?', 'conductor': 71630, 'lmfdb_label': '71630.v1', 'prime': 0}
  • id: 297933
    {'conductor': 71630, 'elladic_image': '7.48.0.5', 'lmfdb_label': '71630.v1', 'modell_image': '7B.1.3', '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}