Elliptic curve data - 10710.e2

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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': '10710h', 'Clabel': '10710h2', 'Cnumber': 2, 'abc_quality': 0.9498836855302084, 'absD': 371641284000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7140, 'ainvs': [1, -1, 0, -20655, -662099], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10710, 'degree': 49152, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4950415675375807977580743771', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [1336852858103281, 509796000000], 'lmfdb_iso': '10710.e', 'lmfdb_label': '10710.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2295, 23757], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '20.12.0-2.a.1.1', '60.24.0-60.a.1.4', '476.12.0.?', '1428.24.0.?', '2380.24.0.?', '7140.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9255774032977123524342779667', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94573542320352595206045175864', 'prec': 103}, 'szpiro_ratio': 4.463958047289577, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
• 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, -1, 0, 1, -1, 0, 1, 4, 0, -6, -1, 0, 1, -1, 0, 0, -1], 'aplist': [-1, 0, -1, 1, 4, -6, -1, 0, -4, 6, 0, -6, 6, -4, 12, -6, 4, -2, -4, 0, 2, 4, 0, 10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 10710, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '10710.e', 'trace_hash': 2282991914000581379}
• 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': '0.050283256247534677458316897361', 'prec': 107}, 'conductor': 10710, 'gens': [[-85, 731, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9255774032977123524342779667', 'prec': 100}], 'lmfdb_label': '10710.e2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.41123819964619119592660435503', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1674839384461562148852793220156258517', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-34, 17, 1], [158, -79, 1]], 'xcoord_integral_points': [-85, -34, 158, 302, 533]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [11, 1], '3': 'a', '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '10710.e2'}
• ec_torsion_growth •

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

  
  
  • id: 553879
    {'degree': 4, 'field': [1, 8, -7, -2, 1], 'lmfdb_label': '10710.e2', 'torsion': [2, 4]}
  • id: 553878
    {'degree': 4, 'field': [900, -30, -29, -1, 1], 'lmfdb_label': '10710.e2', 'torsion': [2, 4]}
  • id: 553880
    {'degree': 4, 'field': [7744, 0, 181, 0, 1], 'lmfdb_label': '10710.e2', 'torsion': [2, 4]}
  • id: 553881
    {'degree': 8, 'field': [-731, -165, 1219, -674, 204, -26, 7, -3, 1], 'lmfdb_label': '10710.e2', 'torsion': [2, 6]}
  • id: 553884
    {'degree': 16, 'field': [24100, 96200, 26700, -191000, -37230, 148440, -34370, -8300, -1059, -1768, 3658, -1116, -360, 224, -12, -8, 1], 'lmfdb_label': '10710.e2', 'torsion': [2, 8]}
  • id: 553883
    {'degree': 16, 'field': [65536, 0, 65536, 0, 10496, 0, 46848, 0, 41873, 0, 2928, 0, 41, 0, 16, 0, 1], 'lmfdb_label': '10710.e2', 'torsion': [2, 8]}
  • id: 553882
    {'degree': 16, 'field': [499063125136, 0, -145209211012, 0, 18196357937, 0, -1282789512, 0, 55672568, 0, -1523646, 0, 25688, 0, -244, 0, 1], 'lmfdb_label': '10710.e2', 'torsion': [4, 4]}
  • id: 553885
    {'degree': 16, 'field': [4013815909401, 0, 1780840103148, 0, -83104208772, 0, -1379274924, 0, 48500350, 0, 445076, 0, 42348, 0, 428, 0, 1], 'lmfdb_label': '10710.e2', 'torsion': [2, 8]}
• 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: 227872
    {'conductor': 10710, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '10710.e2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 227873
    {'conductor': 10710, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '10710.e2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 227874
    {'conductor': 10710, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '10710.e2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 227875
    {'conductor': 10710, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10710.e2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 227876
    {'conductor': 10710, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10710.e2', 'prime': 17, 'reduction_type': -1, '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: 1734849
    {'adelic_gens': [[7137, 7138, 4762, 1], [3573, 4, 2, 3], [1431, 2, 1426, 7139], [1, 4, 0, 1], [6121, 2, 0, 1], [1, 0, 4, 1], [1261, 2, 0, 1], [7137, 4, 7136, 5]], 'adelic_image': '7140.48.0.?', 'conductor': 10710, 'lmfdb_label': '10710.e2', 'prime': 0}
  • id: 51496
    {'conductor': 10710, 'elladic_image': '2.6.0.1', 'lmfdb_label': '10710.e2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 457528
    {'lmfdb_iso': '10710.e', 'p': 11, 'prec': 20, 'unit': 2583870983642959767, 'val': 1}
  • id: 457533
    {'lmfdb_iso': '10710.e', 'p': 13, 'prec': 20, 'unit': 902031702526522557049, 'val': 1}
  • id: 457539
    {'lmfdb_iso': '10710.e', 'p': 23, 'prec': 20, 'unit': 34309601942477016683210301, 'val': 1}
  • id: 457532
    {'lmfdb_iso': '10710.e', 'p': 29, 'prec': 20, 'unit': 3779675992865224610884583999, 'val': 1}
  • id: 457529
    {'lmfdb_iso': '10710.e', 'p': 37, 'prec': 20, 'unit': 576683867836380789388848890560, 'val': 1}
  • id: 457530
    {'lmfdb_iso': '10710.e', 'p': 41, 'prec': 20, 'unit': 3089944695531796740187282152139, 'val': 1}
  • id: 457531
    {'lmfdb_iso': '10710.e', 'p': 43, 'prec': 20, 'unit': 1350880398458189509618315427113, 'val': 1}
  • id: 457541
    {'lmfdb_iso': '10710.e', 'p': 47, 'prec': 20, 'unit': 19002212775946636903131279219726, 'val': 1}
  • id: 457537
    {'lmfdb_iso': '10710.e', 'p': 53, 'prec': 20, 'unit': 439932021383047066249039015893065, 'val': 1}
  • id: 457535
    {'lmfdb_iso': '10710.e', 'p': 59, 'prec': 20, 'unit': 1815612652290759075968707903754100, 'val': 1}
  • id: 457542
    {'lmfdb_iso': '10710.e', 'p': 61, 'prec': 20, 'unit': 7818085478483077010408386517812938, 'val': 1}
  • id: 457536
    {'lmfdb_iso': '10710.e', 'p': 67, 'prec': 20, 'unit': 38676595418288296313729522785182865, 'val': 1}
  • id: 457538
    {'lmfdb_iso': '10710.e', 'p': 73, 'prec': 20, 'unit': 199464048405972798599195826782596368, 'val': 1}
  • id: 457534
    {'lmfdb_iso': '10710.e', 'p': 79, 'prec': 20, 'unit': 968497672547487033136603378470124602, 'val': 1}
  • id: 457540
    {'lmfdb_iso': '10710.e', 'p': 89, 'prec': 20, 'unit': 3208151531494072790261684668693266565, 'val': 1}
  • id: 457527
    {'lmfdb_iso': '10710.e', 'p': 97, 'prec': 20, 'unit': 34146027214261758250753262336432927807, 'val': 1}