Elliptic curve data - 223440.fl3

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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': '223440b1', 'Cnumber': 1, 'abc_quality': 1.0164002037838358, 'absD': 9850291052794085376000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 7980, 'ainvs': [0, 1, 0, -20282880, 35475506100], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 223440, 'degree': 24883200, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0365819415591949474030838791', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 141, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-1914980734749238129, 20440940544000], 'lmfdb_iso': '223440.fl', 'lmfdb_label': '223440.fl3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -25871, 1614201], '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': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 735], [3, 4, 14896], [5, 6, 44688], [7, 26, 4560], [19, 20, 11760]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3704796864715929854331753859', 'prec': 100}, 'szpiro_ratio': 5.042482474432583, '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': '0.0023038724841101974257725233319', 'prec': 110}, 'conductor': 223440, 'gens': [], 'heights': [], 'lmfdb_label': '223440.fl3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12962165631415316332106693041', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6663796273095138795584094946690932830', 'prec': 130}, 'tamagawa_product': 144, 'torsion_generators': [[-5206, 0, 1]], 'xcoord_integral_points': [-5206]}
• lmfdb_label 223440.fl3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9716884
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '223440.fl3', 'torsion': [6]}
  • id: 9716883
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '223440.fl3', 'torsion': [2, 2]}
  • id: 9716885
    {'degree': 4, 'field': [-167, -110, -22, -2, 1], 'lmfdb_label': '223440.fl3', 'torsion': [4]}
  • id: 9716886
    {'degree': 4, 'field': [114, 6, -5, -2, 1], 'lmfdb_label': '223440.fl3', 'torsion': [2, 6]}
  • id: 9716887
    {'degree': 6, 'field': [4116, 0, 637, 0, 7, 0, 1], 'lmfdb_label': '223440.fl3', 'torsion': [6]}
  • id: 9716890
    {'degree': 8, 'field': [-3, 78, -64, -18, -15, 26, -4, -4, 1], 'lmfdb_label': '223440.fl3', 'torsion': [12]}
  • id: 9716889
    {'degree': 8, 'field': [38416, 0, -2401, 0, -294, 0, 14, 0, 1], 'lmfdb_label': '223440.fl3', 'torsion': [2, 4]}
  • id: 9716888
    {'degree': 8, 'field': [82084, 95228, 43650, 8246, 5, -266, -32, 0, 1], 'lmfdb_label': '223440.fl3', 'torsion': [2, 4]}
  • id: 9716891
    {'degree': 12, 'field': [82548, 80784, -40404, -74304, 21673, 16764, -2689, -2250, 276, 180, -25, -6, 1], 'lmfdb_label': '223440.fl3', 'torsion': [3, 6]}
  • id: 9716892
    {'degree': 12, 'field': [15681600, -9123840, 2129184, -713808, 26776, 74580, -12971, -1128, 1146, -78, -2, -6, 1], 'lmfdb_label': '223440.fl3', 'torsion': [2, 6]}
  • id: 9716893
    {'degree': 16, 'field': [-1000629675, -285180300, -356125290, 398428740, 7353020, -98614820, 39692354, -3412820, -2319163, 567996, 48974, -25564, 1176, 624, -80, -8, 1], 'lmfdb_label': '223440.fl3', 'torsion': [8]}
  • id: 9716894
    {'degree': 16, 'field': [2042041, 0, 355532, 0, 180626, 0, 117612, 0, 28595, 0, 1908, 0, 146, 0, 8, 0, 1], 'lmfdb_label': '223440.fl3', 'torsion': [2, 12]}
  • id: 9716895
    {'degree': 16, 'field': [7617600, 0, -9758700, 0, 4723905, 0, -1120020, 0, 173416, 0, -17818, 0, 1224, 0, -52, 0, 1], 'lmfdb_label': '223440.fl3', 'torsion': [2, 12]}
  • id: 9716896
    {'degree': 18, 'field': [-341294796, 326457864, 151290828, -194226516, -8030502, 25248510, -4057551, 2864880, 354096, -849802, 47175, 78732, -8266, -5430, 651, 280, -36, -6, 1], 'lmfdb_label': '223440.fl3', '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: 5541241
    {'conductor': 223440, 'conductor_valuation': 4, 'discriminant_valuation': 36, 'j_denominator_valuation': 24, 'kodaira_symbol': -32, 'lmfdb_label': '223440.fl3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5541242
    {'conductor': 223440, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '223440.fl3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 5541243
    {'conductor': 223440, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '223440.fl3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 5541244
    {'conductor': 223440, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '223440.fl3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5541245
    {'conductor': 223440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '223440.fl3', 'prime': 19, 'reduction_type': 1, '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: 3090568
    {'adelic_gens': [[11, 2, 7930, 7971], [4201, 5712, 126, 2353], [7969, 12, 7968, 13], [386, 4571, 6069, 7960], [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.fl3', 'prime': 0}
  • id: 818397
    {'conductor': 223440, 'elladic_image': '2.3.0.1', 'lmfdb_label': '223440.fl3', 'modell_image': '2B', 'prime': 2}
  • id: 818398
    {'conductor': 223440, 'elladic_image': '3.4.0.1', 'lmfdb_label': '223440.fl3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 223440.fl does not appear in ec_padic