Elliptic curve data - 540.c1

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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': '540a', 'Clabel': '540a1', 'Cnumber': 1, 'abc_quality': 0.9543962106911784, 'absD': 2160, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 30, 'ainvs': [0, 0, 0, -33, 73], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 540, 'degree': 36, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.41148329766673364631778188527', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 3], 'jinv': [-9199872, 5], 'lmfdb_iso': '540.c', 'lmfdb_label': '540.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -33, 73], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '30.16.0-30.b.1.4'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 135], [3, 2, 20], [5, 6, 108]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91718543002040950563900390165', 'prec': 107}, 'szpiro_ratio': 3.5132832413658637, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, -1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 0, 5, 0], 'aplist': [0, 0, -1, 2, 0, 2, 3, 5, -3, 6, 5, 2, -12, 8, 12, 3, -6, -7, 2, -12, -16, -1, 15, 12, -16], 'class_deg': 3, 'class_size': 2, 'conductor': 540, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '540.c', 'trace_hash': 705305786787941702}
• 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': '2.2772454926223234403655115896', 'prec': 100}, 'conductor': 540, 'gens': [], 'heights': [], 'lmfdb_label': '540.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '4.5731234993669273500320767333', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5243744997889757833440255777737465796', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [[3, 1, 1]], 'xcoord_integral_points': [3]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '540.c1'}
• ec_torsion_growth •

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

  
  
  • id: 24248
    {'degree': 3, 'field': [-1, 3, 0, 1], 'lmfdb_label': '540.c1', 'torsion': [6]}
  • id: 24249
    {'degree': 6, 'field': [1, -3, 3, -1, 3, -3, 1], 'lmfdb_label': '540.c1', 'torsion': [2, 6]}
  • id: 24250
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '540.c1', 'torsion': [3, 3]}
  • id: 24251
    {'degree': 9, 'field': [-1, 6, -9, 1, 3, 0, -2, 3, -3, 1], 'lmfdb_label': '540.c1', 'torsion': [9]}
  • id: 24252
    {'degree': 12, 'field': [-15, 900, 1188, 606, -183, -348, 228, 102, -102, 18, 12, -6, 1], 'lmfdb_label': '540.c1', 'torsion': [12]}
  • id: 24253
    {'degree': 18, 'field': [37, -201, 459, -679, 918, -1128, 1139, -1104, 999, -724, 552, -456, 263, -123, 84, -46, 18, -6, 1], 'lmfdb_label': '540.c1', 'torsion': [3, 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: 6067
    {'conductor': 540, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '540.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 6068
    {'conductor': 540, 'conductor_valuation': 3, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '540.c1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6069
    {'conductor': 540, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '540.c1', 'prime': 5, '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: 1668227
    {'adelic_gens': [[6, 1, 13, 24], [1, 0, 6, 1], [4, 3, 9, 7], [7, 6, 21, 19], [25, 6, 24, 7], [3, 4, 8, 11], [1, 6, 0, 1]], 'adelic_image': '30.16.0.?', 'conductor': 540, 'lmfdb_label': '540.c1', 'prime': 0}
  • id: 2411
    {'conductor': 540, 'elladic_image': '3.8.0.1', 'lmfdb_label': '540.c1', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 540.c does not appear in ec_padic