Elliptic curve data - 158400.ln1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '158400jh', 'Clabel': '158400jh2', 'Cnumber': 2, 'abc_quality': 0.9821206982788452, 'absD': 1683605088000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 0, 0, -385500, 67750000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 158400, 'degree': 1966080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2057573486817257513419484224', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 299, 'isogeny_degrees': [1, 2], 'jinv': [271593488, 72171], 'lmfdb_iso': '158400.ln', 'lmfdb_label': '158400.ln1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -428, -2652], 'min_quad_twist_disc': -120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '44.6.0.e.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 495], [3, 8, 17600], [5, 14, 6336], [11, 12, 14400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.35929894063117390295968117101', 'prec': 107}, 'szpiro_ratio': 4.192850647019012, '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, 2, 0, 0, 0, 1, 0, -2, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, 0, 2, 1, -2, -6, -4, 0, 2, -8, 0, 2, -2, -8, -8, -8, -10, -8, 12, 14, 8, -6, 14, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 158400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '158400.ln', 'trace_hash': 470037093808778657}
• 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': '0.012136780850170820605805550332', 'prec': 107}, 'conductor': 158400, 'gens': [], 'heights': [], 'lmfdb_label': '158400.ln1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24845788766855751180380261830', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.99383155067423004721521047321445978596', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[500, 0, 1]], 'xcoord_integral_points': [500]}
• lmfdb_label 158400.ln1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7091220
    {'degree': 2, 'field': [-55, 0, 1], 'lmfdb_label': '158400.ln1', 'torsion': [2, 2]}
  • id: 7091221
    {'degree': 4, 'field': [1980, 0, -90, 0, 1], 'lmfdb_label': '158400.ln1', 'torsion': [4]}
  • id: 7091224
    {'degree': 8, 'field': [-97200, 0, -24000, 0, -1080, 0, 0, 0, 1], 'lmfdb_label': '158400.ln1', 'torsion': [6]}
  • id: 7091222
    {'degree': 8, 'field': [28561, 0, 1352, 0, -141, 0, 8, 0, 1], 'lmfdb_label': '158400.ln1', 'torsion': [2, 4]}
  • id: 7091223
    {'degree': 8, 'field': [50625, 0, -27000, 0, 3555, 0, -120, 0, 1], 'lmfdb_label': '158400.ln1', 'torsion': [2, 4]}
  • id: 7091225
    {'degree': 16, 'field': [-5039, 26092, 37152, -68956, 18348, 45816, -15896, -17728, -5877, 3904, -104, 528, -72, 28, -12, -4, 1], 'lmfdb_label': '158400.ln1', 'torsion': [8]}
  • id: 7091226
    {'degree': 16, 'field': [1269083359296, 0, -425560680000, 0, 32345746992, 0, -1166520000, 0, 16599084, 0, 41100, 0, -1907, 0, -110, 0, 1], 'lmfdb_label': '158400.ln1', 'torsion': [2, 6]}
• 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: 3918477
    {'conductor': 158400, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '158400.ln1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3918478
    {'conductor': 158400, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '158400.ln1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3918479
    {'conductor': 158400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '158400.ln1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3918480
    {'conductor': 158400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '158400.ln1', 'prime': 11, '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: 2689213
    {'adelic_gens': [[1, 2, 2, 5], [202, 1, 119, 0], [217, 4, 216, 5], [56, 169, 165, 56], [3, 4, 8, 11], [1, 4, 0, 1], [48, 1, 43, 0], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 158400, 'lmfdb_label': '158400.ln1', 'prime': 0}
  • id: 604122
    {'conductor': 158400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '158400.ln1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 158400.ln does not appear in ec_padic