Elliptic curve data - 223440.fl4

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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': '223440b', 'Clabel': '223440b3', 'Cnumber': 3, 'abc_quality': 1.0444928492259786, 'absD': 34006430845556736000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 7980, 'ainvs': [0, 1, 0, 67023360, 184723415988], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 223440, 'degree': 74649600, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5858880858932497931007064975', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 141, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [69096190760262356111, 70568821500000000], 'lmfdb_iso': '223440.fl', 'lmfdb_label': '223440.fl4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 85489, 8420985], 'min_quad_twist_disc': 28, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '30.24.0.b.1', '76.6.0.?', '84.24.0.?', '228.24.0.?', '420.48.0.?', '1140.48.1.?', '1596.48.0.?', '7980.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 735], [3, 4, 784], [5, 6, 44688], [7, 26, 4560], [19, 20, 11760]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9197858308056478311307980043', 'prec': 100}, 'szpiro_ratio': 5.332126422415158, '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, 1, 0, 1, 0, 0, 0, 1, 0, -6, 0, 4, 0, 1, 0, 6, 0, 1, 0], 'aplist': [0, 1, 1, 0, -6, 4, 6, 1, 0, 0, 8, 8, 12, -2, 0, -6, -12, -2, 16, 0, 10, -8, 0, 12, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 223440, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '223440.fl', 'trace_hash': 168848148199808639}
• 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': '0.00076795749470339914192417444398', 'prec': 113}, 'conductor': 223440, 'gens': [], 'heights': [], 'lmfdb_label': '223440.fl4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.043207218771384387773688976803', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6663796273095138795584094946690932830', 'prec': 130}, 'tamagawa_product': 432, 'torsion_generators': [[-2518, 0, 1]], 'xcoord_integral_points': [-2518]}
• lmfdb_label 223440.fl4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9716911
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '223440.fl4', 'torsion': [2, 2]}
  • id: 9716912
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '223440.fl4', 'torsion': [6]}
  • id: 9716913
    {'degree': 4, 'field': [-167, -110, -22, -2, 1], 'lmfdb_label': '223440.fl4', 'torsion': [4]}
  • id: 9716914
    {'degree': 4, 'field': [196, 0, -7, 0, 1], 'lmfdb_label': '223440.fl4', 'torsion': [2, 6]}
  • id: 9716915
    {'degree': 6, 'field': [-486, 0, 0, -66, 0, 0, 1], 'lmfdb_label': '223440.fl4', 'torsion': [6]}
  • id: 9716918
    {'degree': 8, 'field': [225, 0, 1086, 0, 259, 0, 34, 0, 1], 'lmfdb_label': '223440.fl4', 'torsion': [12]}
  • id: 9716916
    {'degree': 8, 'field': [38416, 0, -2401, 0, -294, 0, 14, 0, 1], 'lmfdb_label': '223440.fl4', 'torsion': [2, 4]}
  • id: 9716917
    {'degree': 8, 'field': [82084, 95228, 43650, 8246, 5, -266, -32, 0, 1], 'lmfdb_label': '223440.fl4', 'torsion': [2, 4]}
  • id: 9716920
    {'degree': 12, 'field': [81589, 186732, 87906, -102240, 49371, 10584, -6344, 0, 735, -36, -42, 0, 1], 'lmfdb_label': '223440.fl4', 'torsion': [2, 6]}
  • id: 9716919
    {'degree': 12, 'field': [126025, 0, -83202, 0, 38535, 0, -6836, 0, 735, 0, -42, 0, 1], 'lmfdb_label': '223440.fl4', 'torsion': [3, 6]}
  • id: 9716921
    {'degree': 16, 'field': [-1000629675, -285180300, -356125290, 398428740, 7353020, -98614820, 39692354, -3412820, -2319163, 567996, 48974, -25564, 1176, 624, -80, -8, 1], 'lmfdb_label': '223440.fl4', 'torsion': [8]}
  • id: 9716922
    {'degree': 16, 'field': [331776, 0, -395820, 0, 279801, 0, -90420, 0, 16936, 0, -2690, 0, 696, 0, -20, 0, 1], 'lmfdb_label': '223440.fl4', 'torsion': [2, 12]}
  • id: 9716923
    {'degree': 16, 'field': [381460, 440860, 1066606, 65242, 499793, 12742, 87432, 28336, -19453, -6232, 3462, -358, 23, 86, 4, -4, 1], 'lmfdb_label': '223440.fl4', 'torsion': [2, 12]}
  • id: 9716924
    {'degree': 18, 'field': [5850208866625, 596509802790, 1086886231518, 43528089388, 68386137885, 9697073070, 1247773466, 384090546, 71356536, -14132582, 274215, 122586, -40513, 9072, 4965, -110, -93, 0, 1], 'lmfdb_label': '223440.fl4', 'torsion': [18]}
• 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: 5541251
    {'conductor': 223440, 'conductor_valuation': 4, 'discriminant_valuation': 20, 'j_denominator_valuation': 8, 'kodaira_symbol': -16, 'lmfdb_label': '223440.fl4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5541252
    {'conductor': 223440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '223440.fl4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5541253
    {'conductor': 223440, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '223440.fl4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
  • id: 5541254
    {'conductor': 223440, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '223440.fl4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5541255
    {'conductor': 223440, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '223440.fl4', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

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

  
  
  • id: 3090569
    {'adelic_gens': [[7610, 3423, 6433, 5692], [11, 2, 7930, 7971], [4201, 5712, 126, 2353], [7969, 12, 7968, 13], [1, 0, 12, 1], [1, 6, 6, 37], [2279, 0, 0, 7979], [1, 12, 0, 1], [2290, 3423, 5901, 5692], [7881, 5222, 7294, 3499]], 'adelic_image': '7980.96.1.?', 'conductor': 223440, 'lmfdb_label': '223440.fl4', 'prime': 0}
  • id: 818399
    {'conductor': 223440, 'elladic_image': '2.3.0.1', 'lmfdb_label': '223440.fl4', 'modell_image': '2B', 'prime': 2}
  • id: 818400
    {'conductor': 223440, 'elladic_image': '3.4.0.1', 'lmfdb_label': '223440.fl4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 223440.fl does not appear in ec_padic