Elliptic curve data - 147600.n2

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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': '147600ev', 'Clabel': '147600ev2', 'Cnumber': 2, 'abc_quality': 1.0366414933736643, 'absD': 7940909520000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 820, 'ainvs': [0, 0, 0, -3675, 4288250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 41], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 147600, 'degree': 983040, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7298889571628043945048792796', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [-470596, 680805], 'lmfdb_iso': '147600.n', 'lmfdb_label': '147600.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -16, 1276], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.a.1', '164.6.0.?', '820.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.99362028964945963721859778385', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 16400], [5, 18, 5904], [41, 42, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20175879385492172967414977336', 'prec': 107}, 'szpiro_ratio': 3.702315332730495, '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, 0, 0, 0, 0, 0, -4, 0, 0, 0, -2, 0, 4, 0, 0, 0, -8, 0, 2, 0], 'aplist': [0, 0, 0, -4, -2, 4, -8, 2, 8, -2, 4, 6, 1, -4, -8, 4, -8, 2, -8, -2, -2, -10, 12, 10, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 147600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '147600.n', 'trace_hash': 831506926108257677}
• 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': '0.031436742893408991245025696067', 'prec': 107}, 'conductor': 147600, 'gens': [[35, 2050, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.99362028964945963721859778385', 'prec': 103}], 'lmfdb_label': '147600.n2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.33474426590134911825099529938', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3217391110943079337559224758822137560', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-170, 0, 1]], 'xcoord_integral_points': [-170, -70, 35, 235]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [2, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '147600.n2'}
• ec_torsion_growth •

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

  
  
  • id: 6647909
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '147600.n2', 'torsion': [2, 2]}
  • id: 6647910
    {'degree': 4, 'field': [-41, -41, -10, -1, 1], 'lmfdb_label': '147600.n2', 'torsion': [4]}
  • id: 6647913
    {'degree': 8, 'field': [-97200, 0, -36720, 0, 1080, 0, 0, 0, 1], 'lmfdb_label': '147600.n2', 'torsion': [6]}
  • id: 6647911
    {'degree': 8, 'field': [4900, 0, 200, 0, -15, 0, -10, 0, 1], 'lmfdb_label': '147600.n2', 'torsion': [2, 4]}
  • id: 6647912
    {'degree': 8, 'field': [7636, 12632, 7036, 1772, 165, -92, 1, -2, 1], 'lmfdb_label': '147600.n2', 'torsion': [2, 4]}
  • id: 6647915
    {'degree': 16, 'field': [668969280, 1054632960, 198737280, -399988800, 253056960, -48941280, 11431296, -2284608, 153280, 137680, -11912, 928, -452, -140, 40, -8, 1], 'lmfdb_label': '147600.n2', 'torsion': [2, 6]}
  • id: 6647914
    {'degree': 16, 'field': [871430400, 0, -254167200, 0, -41601060, 0, 1231230, 0, 249481, 0, 6132, 0, -466, 0, -42, 0, 1], 'lmfdb_label': '147600.n2', '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: 3649831
    {'conductor': 147600, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '147600.n2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3649832
    {'conductor': 147600, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '147600.n2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3649833
    {'conductor': 147600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '147600.n2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3649834
    {'conductor': 147600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '147600.n2', 'prime': 41, '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: 2622163
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [616, 209, 205, 616], [621, 4, 422, 9], [817, 4, 816, 5], [494, 1, 163, 0]], 'adelic_image': '820.12.0.?', 'conductor': 147600, 'lmfdb_label': '147600.n2', 'prime': 0}
  • id: 567590
    {'conductor': 147600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '147600.n2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 147600.n does not appear in ec_padic