Elliptic curve data - 55440.eq1

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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': '55440eu', 'Clabel': '55440eu4', 'Cnumber': 4, 'abc_quality': 0.9830640731165118, 'absD': 510136791369891840, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -3750267, 2795172266], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55440, 'degree': 983040, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4390799453607131434994159870', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 120, 'isogeny_degrees': [1, 2, 4], 'jinv': [1953542217204454969, 170843779260], 'lmfdb_iso': '55440.eq', 'lmfdb_label': '55440.eq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -26044, 1615406], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '60.24.0-60.h.1.3', '1848.24.0.?', '3080.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1966266204667129883845612471', 'prec': 100}, 'szpiro_ratio': 5.220664666533742, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, 1, 0, 0, 0, 1, 0, -2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 1, 1, 1, -2, 2, -4, -4, 6, 4, -2, -10, -4, -8, 6, -4, -2, 12, -8, 2, -4, 0, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 55440, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '55440.eq', 'trace_hash': 284835458245644175}
• 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': '0.0076110062332247499598110748595', 'prec': 110}, 'conductor': 55440, 'gens': [], 'heights': [], 'lmfdb_label': '55440.eq1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28061816630439933985766713552', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2449453304351947188613370841470102458', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[895, 12474, 1]], 'xcoord_integral_points': [895, 1126]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '55440.eq1'}
• ec_torsion_growth •

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

  
  
  • id: 2678614
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '55440.eq1', 'torsion': [2, 4]}
  • id: 2678615
    {'degree': 4, 'field': [1500, 0, 48, 0, 1], 'lmfdb_label': '55440.eq1', 'torsion': [8]}
  • id: 2678619
    {'degree': 8, 'field': [-19683, 0, 9528, 0, -486, 0, 0, 0, 1], 'lmfdb_label': '55440.eq1', 'torsion': [12]}
  • id: 2678616
    {'degree': 8, 'field': [1, 0, -11, 0, 36, 0, -11, 0, 1], 'lmfdb_label': '55440.eq1', 'torsion': [4, 4]}
  • id: 2678617
    {'degree': 8, 'field': [81225, 0, -46800, 0, 5830, 0, -160, 0, 1], 'lmfdb_label': '55440.eq1', 'torsion': [2, 8]}
  • id: 2678618
    {'degree': 8, 'field': [4384836, 0, 165420, 0, 237, 0, -60, 0, 1], 'lmfdb_label': '55440.eq1', 'torsion': [2, 8]}
  • id: 2678621
    {'degree': 16, 'field': [63504, 0, 213408, 0, 49500, 0, -228879, 0, 43650, 0, -3111, 0, 333, 0, -30, 0, 1], 'lmfdb_label': '55440.eq1', 'torsion': [2, 12]}
  • id: 2678620
    {'degree': 16, 'field': [2185666560000, 0, -327849984000, 0, 31693939200, 0, -479001600, 0, 77606400, 0, -3021120, 0, 47682, 0, -324, 0, 1], 'lmfdb_label': '55440.eq1', 'torsion': [16]}
• 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: 1332657
    {'conductor': 55440, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '55440.eq1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1332658
    {'conductor': 55440, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '55440.eq1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1332659
    {'conductor': 55440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '55440.eq1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1332660
    {'conductor': 55440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '55440.eq1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1332661
    {'conductor': 55440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '55440.eq1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2032368
    {'adelic_gens': [[3076, 9239, 6137, 9234], [9233, 8, 9232, 9], [1, 0, 8, 1], [1, 8, 0, 1], [5779, 5778, 8098, 3475], [1, 4, 4, 17], [1152, 5767, 1127, 1080], [2521, 8, 844, 33], [1856, 3, 5, 2], [7, 6, 9234, 9235], [5281, 8, 2644, 33]], 'adelic_image': '9240.48.0.?', 'conductor': 55440, 'lmfdb_label': '55440.eq1', 'prime': 0}
  • id: 236097
    {'conductor': 55440, 'elladic_image': '4.12.0.7', 'lmfdb_label': '55440.eq1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 55440.eq does not appear in ec_padic