Elliptic curve data - 10470.d2

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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': '10470d', 'Clabel': '10470d2', 'Cnumber': 2, 'abc_quality': 1.1093106404648128, 'absD': 18919046447754148470, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 293160, 'ainvs': [1, 0, 0, 182415, -207095505], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 349], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 10470, 'degree': 271656, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3789748579771921966386922872', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 7], 'jinv': [671282315177095816559, 18919046447754148470], 'lmfdb_iso': '10470.d', 'lmfdb_label': '10470.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 182415, -207095505], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '41880.2.0.?', '293160.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 5235], [3, 4, 3490], [5, 6, 2094], [7, 2, 30], [349, 350, 30]], 'sha': 49, 'sha_primes': [7], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3789748579771921966386922872', 'prec': 100}, 'szpiro_ratio': 5.598440568070082, '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, 1, 1, 1, 1, 1, 1, -2, 1, 0, 1, 1, 1, -3, 1, 6, 1], 'aplist': [1, 1, 1, 1, -2, 0, -3, 6, -4, 9, 4, 3, 0, -12, 6, 5, 4, 13, 5, -5, 4, -4, 0, 6, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 10470, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '10470.d', 'trace_hash': 56908957332877019}
• 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': '0.0085831893455719031409188198356', 'prec': 110}, 'conductor': 10470, 'gens': [], 'heights': [], 'lmfdb_label': '10470.d2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10499677935768440927201400167', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '49.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1448421885265360543286860819765010815', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [1, 0], '5': [1, 0], '7': [4, 1], '349': [0, 0]}, 'iwp0': 11, 'lmfdb_label': '10470.d2'}
• ec_torsion_growth •

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

  
  
  • id: 541515
    {'degree': 3, 'field': [-38, -10, -1, 1], 'lmfdb_label': '10470.d2', 'torsion': [2]}
  • id: 541517
    {'degree': 6, 'field': [1, -1, 1, -1, 1, -1, 1], 'lmfdb_label': '10470.d2', 'torsion': [7]}
  • id: 541516
    {'degree': 6, 'field': [41880, 0, 961, 0, -62, 0, 1], 'lmfdb_label': '10470.d2', 'torsion': [2, 2]}
  • id: 541518
    {'degree': 7, 'field': [-180, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '10470.d2', 'torsion': [7]}
  • id: 541519
    {'degree': 8, 'field': [-1080, 1620, -1710, 179, -86, -7, 7, -4, 1], 'lmfdb_label': '10470.d2', 'torsion': [3]}
  • id: 541520
    {'degree': 12, 'field': [3691876592, 11978986368, 3654350024, 472936064, 68535618, -4307336, 1061919, 6420, 13489, -872, -3, -4, 1], 'lmfdb_label': '10470.d2', 'torsion': [4]}
  • id: 541521
    {'degree': 18, 'field': [3010936384, 792351680, 129278432, -66065888, -41639184, -12621168, -487016, -2523672, -319172, -4764, 73558, 27882, 5527, -1215, 207, -59, 11, -1, 1], 'lmfdb_label': '10470.d2', 'torsion': [14]}
  • id: 541522
    {'degree': 21, 'field': [-142292871632, -190888547920, -140692650448, -106034214832, -19136576368, 21977505536, 7646828112, 699630280, -193560080, -258483120, -44208724, 15049580, 6005034, 372946, -275051, -59199, 2849, 2681, 119, -49, -7, 1], 'lmfdb_label': '10470.d2', '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: 222257
    {'conductor': 10470, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10470.d2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 222258
    {'conductor': 10470, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10470.d2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 222259
    {'conductor': 10470, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10470.d2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 222260
    {'conductor': 10470, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '10470.d2', 'prime': 349, '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: 1733200
    {'adelic_gens': [[1, 14, 0, 1], [146581, 14, 146587, 99], [293147, 14, 293146, 15], [175897, 14, 58639, 99], [219871, 14, 0, 1], [1, 0, 14, 1], [8, 5, 91, 57], [97721, 14, 97727, 99], [171361, 14, 26887, 99], [219873, 209408, 146566, 94193]], 'adelic_image': '293160.96.2.?', 'conductor': 10470, 'lmfdb_label': '10470.d2', 'prime': 0}
  • id: 50377
    {'conductor': 10470, 'elladic_image': '7.48.0.5', 'lmfdb_label': '10470.d2', 'modell_image': '7B.1.3', 'prime': 7}
• lmfdb_iso 10470.d does not appear in ec_padic