Elliptic curve data - 106470.h1

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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': '106470bd', 'Clabel': '106470bd2', 'Cnumber': 2, 'abc_quality': 1.074960180274193, 'absD': 1961259803787375000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2184, 'ainvs': [1, -1, 0, -89010, 68172300], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 106470, 'degree': 2177280, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1906423604387852795736280213', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 3], 'jinv': [-22164361129, 557375000], 'lmfdb_iso': '106470.h', 'lmfdb_label': '106470.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -59, -1154], 'min_quad_twist_disc': -39, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '39.8.0-3.a.1.1', '168.8.0.?', '728.2.0.?', '2184.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 10647], [3, 6, 169], [5, 6, 21294], [7, 8, 15210], [13, 98, 630]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35886153737396206584926168205', 'prec': 103}, 'szpiro_ratio': 4.284660056470167, '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, 0, 1, -1, 0, -1, -1, 0, 1, -3, 0, 0, 1, 0, 1, 6, 0, -2, -1], 'aplist': [-1, 0, -1, -1, -3, 0, 6, -2, 3, 6, 7, -5, 9, 2, -9, 0, 0, -13, 13, 12, 13, 5, 6, 18, -5], 'class_deg': 3, 'class_size': 2, 'conductor': 106470, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '106470.h', 'trace_hash': 1101686950443444031}
• 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': '0.012509277363530336807456424389', 'prec': 107}, 'conductor': 106470, 'gens': [], 'heights': [], 'lmfdb_label': '106470.h1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.21993800063081518187503088711', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7595040050465214550002470968989853348', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '106470.h1'}
• ec_torsion_growth •

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

  
  
  • id: 4915311
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '106470.h1', 'torsion': [3]}
  • id: 4915312
    {'degree': 3, 'field': [-2, 6, -1, 1], 'lmfdb_label': '106470.h1', 'torsion': [2]}
  • id: 4915315
    {'degree': 6, 'field': [-1, -2, -4, 0, 4, -2, 1], 'lmfdb_label': '106470.h1', 'torsion': [6]}
  • id: 4915314
    {'degree': 6, 'field': [351, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '106470.h1', 'torsion': [3]}
  • id: 4915313
    {'degree': 6, 'field': [728, -728, 218, 12, -11, -2, 1], 'lmfdb_label': '106470.h1', 'torsion': [2, 2]}
  • id: 4915316
    {'degree': 12, 'field': [-4550, -22100, -41275, 15860, 28831, -19480, 10287, -2056, 319, -96, 13, -4, 1], 'lmfdb_label': '106470.h1', 'torsion': [4]}
  • id: 4915317
    {'degree': 12, 'field': [144, 72, 216, -570, 285, -48, 115, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '106470.h1', 'torsion': [3, 3]}
  • id: 4915318
    {'degree': 12, 'field': [169, 0, -52, 0, 692, 0, 454, 0, 124, 0, 16, 0, 1], 'lmfdb_label': '106470.h1', 'torsion': [2, 6]}
  • id: 4915320
    {'degree': 18, 'field': [270400, -2240940, 3639246, 9304490, -4745091, -9444474, 6566106, -814650, 45627, -137544, 103707, -30246, 6203, -336, 93, -56, 30, -6, 1], 'lmfdb_label': '106470.h1', 'torsion': [6]}
  • id: 4915319
    {'degree': 18, 'field': [1268265400821, 2106807988689, 139522411305, 137938436298, 48752294904, -38152811646, 8895128592, 722419254, -485312637, 94749829, -4210443, -483138, -7942, -25536, 6996, -520, 3, -9, 1], 'lmfdb_label': '106470.h1', 'torsion': [9]}
• 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: 2615405
    {'conductor': 106470, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '106470.h1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2615406
    {'conductor': 106470, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '106470.h1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2615407
    {'conductor': 106470, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '106470.h1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2615408
    {'conductor': 106470, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '106470.h1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2615409
    {'conductor': 106470, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '106470.h1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2362522
    {'adelic_gens': [[4, 3, 9, 7], [1726, 453, 809, 1085], [1249, 6, 1563, 19], [1639, 6, 0, 1], [167, 2178, 501, 2165], [1093, 6, 1095, 19], [2179, 6, 2178, 7], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '2184.16.0.?', 'conductor': 106470, 'lmfdb_label': '106470.h1', 'prime': 0}
  • id: 424604
    {'conductor': 106470, 'elladic_image': '3.4.0.1', 'lmfdb_label': '106470.h1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 106470.h does not appear in ec_padic