Elliptic curve data - 705600.qu1

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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[]

  
  {'abc_quality': 0.9270004068838031, 'absD': 553063956480000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [0, 0, 0, -216300, -14798000], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 705600, 'degree': 7077888, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0976127991605264677212689203', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 1, 'iso_nlabel': 436, 'isogeny_degrees': [1, 2], 'jinv': [1092727, 540], 'lmfdb_iso': '705600.qu', 'lmfdb_label': '705600.qu1', 'lmfdb_number': 1, 'min_quad_twist_ainvs': [1, 1, 1, -15, -15], 'min_quad_twist_disc': 120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.c.1', '120.6.0.?', '210.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '4.8801362513186403432191711334', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1575], [3, 6, 78400], [5, 18, 28224], [7, 20, 14400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78261060949432485567891973282', 'prec': 107}, 'szpiro_ratio': 3.5989881969841737, '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, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, -4, 0, 0, 0], 'aplist': [0, 0, 0, 0, -2, 2, -4, 0, -8, 0, 2, 8, 2, 2, -10, 2, -4, 10, -2, -12, -10, -16, 16, -14, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 705600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '705600.qu', 'trace_hash': 2054826332269329420}
• 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': '0.015067342911373518422352611275', 'prec': 107}, 'conductor': 705600, 'gens': [[560, 6300, 1], [-115, 2925, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8921179829077679923093330626', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.0328930420698266182180309757', 'prec': 100}], 'lmfdb_label': '705600.qu1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.23287954731853123286224663190', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '18.183742736957422919249188387880830104', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-70, 0, 1]], 'xcoord_integral_points': [-420, -390, -115, -70, 506, 560, 4410]}
• lmfdb_label 705600.qu1 does not appear in ec_iwasawa
• lmfdb_label 705600.qu1 does not appear in ec_torsion_growth
• 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: 12339329
    {'conductor': 705600, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '705600.qu1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 12339330
    {'conductor': 705600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '705600.qu1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 12339331
    {'conductor': 705600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '705600.qu1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 12339332
    {'conductor': 705600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '705600.qu1', 'prime': 7, 'reduction_type': 0, '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: 4731437
    {'adelic_gens': [[837, 4, 836, 5], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [421, 4, 2, 9], [124, 1, 599, 0], [562, 1, 559, 0], [1, 0, 4, 1], [674, 1, 503, 0], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 705600, 'lmfdb_label': '705600.qu1', 'prime': 0}
  • id: 1652829
    {'conductor': 705600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '705600.qu1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 705600.qu does not appear in ec_padic