Elliptic curve data - 163170.bh2

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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': '163170et', 'Clabel': '163170et1', 'Cnumber': 1, 'abc_quality': 0.9684188081141705, 'absD': 12337971102576000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4440, 'ainvs': [1, -1, 0, -505395, -218241675], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 163170, 'degree': 3686400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3606747270670318106521486843', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2], 'jinv': [-166456688365729, 143856000000], 'lmfdb_iso': '163170.bh', 'lmfdb_label': '163170.bh2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1146, -24057], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '222.6.0.?', '4440.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.0195137145661883831323600850', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.83841350820532031240184969412', 'prec': 103}, 'szpiro_ratio': 4.326292284920196, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, 0, -1, 0, 1, 2, 0, 2, 0, 0, 1, 6, 0, -6, -1], 'aplist': [-1, 0, -1, 0, 2, 2, 6, -6, -8, -2, 0, -1, 2, 0, 6, -2, 0, 4, -4, 0, -6, 8, 12, 6, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 163170, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '163170.bh', 'trace_hash': 461462144858775271}
• 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': '0.0089031560376293431725587027604', 'prec': 110}, 'conductor': 163170, 'gens': [[21687, 3142047, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '7.0195137145661883831323600850', 'prec': 100}], 'lmfdb_label': '163170.bh2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.086395436360611437906836610606', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8516316032739386418826267578083050200', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[870, -435, 1]], 'xcoord_integral_points': [870]}
• lmfdb_label 163170.bh2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7289915
    {'degree': 2, 'field': [28, -1, 1], 'lmfdb_label': '163170.bh2', 'torsion': [2, 2]}
  • id: 7289916
    {'degree': 4, 'field': [-2889, -342, -7, -2, 1], 'lmfdb_label': '163170.bh2', 'torsion': [4]}
  • id: 7289917
    {'degree': 8, 'field': [11368, -109172, 785827, 18970, 25582, 1816, -44, -2, 1], 'lmfdb_label': '163170.bh2', 'torsion': [2, 4]}
  • id: 7289919
    {'degree': 8, 'field': [19210, 7843, -2690, -2293, 431, 161, -35, -2, 1], 'lmfdb_label': '163170.bh2', 'torsion': [6]}
  • id: 7289918
    {'degree': 8, 'field': [1406736, -49248, 188208, 37560, 3271, 490, 63, -2, 1], 'lmfdb_label': '163170.bh2', 'torsion': [2, 4]}
  • id: 7289921
    {'degree': 16, 'field': [21542908, -21133712, 14930841, -9064804, 1490894, 2181432, -930563, -336320, 245583, 2848, -20135, 1632, 1499, -28, 12, -8, 1], 'lmfdb_label': '163170.bh2', 'torsion': [2, 6]}
  • id: 7289920
    {'degree': 16, 'field': [1834716291136, 1441352812544, -1581965001472, 286397712128, -156228978264, 15907877504, -5757693920, 394417024, -104034471, 3591448, -688660, -17368, 3926, -504, 92, -8, 1], 'lmfdb_label': '163170.bh2', 'torsion': [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: 4038711
    {'conductor': 163170, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '163170.bh2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4038712
    {'conductor': 163170, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '163170.bh2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4038713
    {'conductor': 163170, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '163170.bh2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4038714
    {'conductor': 163170, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '163170.bh2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4038715
    {'conductor': 163170, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '163170.bh2', 'prime': 37, '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: 2718917
    {'adelic_gens': [[1777, 4, 3554, 9], [1, 2, 2, 5], [1, 4, 0, 1], [2777, 1666, 1664, 2775], [2962, 1, 2959, 0], [1, 0, 4, 1], [4437, 4, 4436, 5], [3, 4, 8, 11], [3482, 1, 479, 0], [2221, 4, 2, 9]], 'adelic_image': '4440.12.0.?', 'conductor': 163170, 'lmfdb_label': '163170.bh2', 'prime': 0}
  • id: 620233
    {'conductor': 163170, 'elladic_image': '2.3.0.1', 'lmfdb_label': '163170.bh2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 163170.bh does not appear in ec_padic