Elliptic curve data - 240370.w3

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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': '240370w', 'Clabel': '240370w2', 'Cnumber': 2, 'abc_quality': 0.9774623648888189, 'absD': 66769397205062500, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 67080, 'ainvs': [1, 1, 1, -23151, -12515527], 'analytic_rank': 0, 'bad_primes': [2, 5, 13, 43], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 240370, 'degree': 3894912, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9083169062703626063372511436', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-217081801, 10562500], 'lmfdb_iso': '240370.w', 'lmfdb_label': '240370.w3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -13, 156], 'min_quad_twist_disc': -43, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.48.0.b.1', '129.8.0.?', '172.12.0.?', '258.24.0.?', '260.12.0.?', '516.96.0.?', '520.24.0.?', '780.96.3.?', '1560.192.9.?', '11180.24.0.?', '22360.48.0.?', '33540.192.3.?', '67080.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1849], [3, 2, 48074], [5, 6, 48074], [13, 14, 18490], [43, 926, 130]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.027716848423581394600829886927', 'prec': 107}, 'szpiro_ratio': 3.729363051348793, '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, 1, 2, 1, -1, 2, 4, 1, 1, -1, -6, 2, 1, 4, -2, 1, -6, 1, -2, -1], 'aplist': [1, 2, -1, 4, -6, 1, -6, -2, 6, 6, 2, -2, -6, 0, -12, 6, 6, -2, -4, 6, 10, -4, 0, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 240370, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '240370.w', 'trace_hash': 1536228002856629232}
• 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': '0.022001738356503660737182926375', 'prec': 107}, 'conductor': 240370, 'gens': [], 'heights': [], 'lmfdb_label': '240370.w3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.15250139114170680026820724939', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4900500811014448096554609779832420638', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[1059, -1063, 2]], 'xcoord_integral_points': []}
• lmfdb_label 240370.w3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10382602
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '240370.w3', 'torsion': [2, 2]}
  • id: 10382603
    {'degree': 2, 'field': [11, -1, 1], 'lmfdb_label': '240370.w3', 'torsion': [6]}
  • id: 10382604
    {'degree': 4, 'field': [-844, 391, -83, -1, 1], 'lmfdb_label': '240370.w3', 'torsion': [4]}
  • id: 10382605
    {'degree': 4, 'field': [121, 0, -21, 0, 1], 'lmfdb_label': '240370.w3', 'torsion': [2, 6]}
  • id: 10382606
    {'degree': 6, 'field': [-27000, -900, -1970, -267, -7, -3, 1], 'lmfdb_label': '240370.w3', 'torsion': [6]}
  • id: 10382609
    {'degree': 8, 'field': [2591, -5318, 6246, -1914, 1103, -178, 64, -4, 1], 'lmfdb_label': '240370.w3', 'torsion': [12]}
  • id: 10382608
    {'degree': 8, 'field': [6724, 0, -3928, 0, 789, 0, -50, 0, 1], 'lmfdb_label': '240370.w3', 'torsion': [2, 12]}
  • id: 10382607
    {'degree': 8, 'field': [712336, 0, 12777, 0, 5983, 0, 167, 0, 1], 'lmfdb_label': '240370.w3', 'torsion': [2, 4]}
  • id: 10382610
    {'degree': 12, 'field': [1643524, 0, 842036, 0, 171180, 0, 24271, 0, 1767, 0, 65, 0, 1], 'lmfdb_label': '240370.w3', 'torsion': [3, 6]}
  • id: 10382611
    {'degree': 12, 'field': [729000000, 0, -105570000, 0, 3778300, 0, 103109, 0, -5493, 0, 23, 0, 1], 'lmfdb_label': '240370.w3', 'torsion': [2, 6]}
  • id: 10382612
    {'degree': 16, 'field': [6713281, 0, -4085648, 0, 24370958, 0, -8553720, 0, 1297351, 0, -106680, 0, 4878, 0, -112, 0, 1], 'lmfdb_label': '240370.w3', 'torsion': [4, 12]}
  • id: 10382613
    {'degree': 16, 'field': [325229376176, -487142902576, 328552077574, -151168649856, 57048709171, -16276002368, 2284894586, 265249052, -183869613, 29725888, -104734, -518712, 40681, 2896, -386, -4, 1], 'lmfdb_label': '240370.w3', 'torsion': [8]}
  • id: 10382614
    {'degree': 18, 'field': [4915532147, -7784291724, 6982084284, -4459065649, 2331588543, -959865732, 371179584, -106970079, 35096232, -6832447, 2198553, -250851, 100081, -5823, 3633, -154, 93, -3, 1], 'lmfdb_label': '240370.w3', '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: 5959787
    {'conductor': 240370, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '240370.w3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5959788
    {'conductor': 240370, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '240370.w3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5959789
    {'conductor': 240370, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '240370.w3', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5959790
    {'conductor': 240370, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '240370.w3', 'prime': 43, '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: 3192720
    {'adelic_gens': [[13, 24, 66372, 65773], [50311, 63984, 24381, 48505], [13417, 32766, 25284, 57793], [33541, 63984, 0, 1], [1, 24, 0, 1], [861, 54610, 63812, 9461], [15, 16, 314, 335], [8859, 20296, 3526, 62523], [67057, 24, 67056, 25], [1, 0, 24, 1], [10919, 0, 0, 67079]], 'adelic_image': '67080.384.9.?', 'conductor': 240370, 'lmfdb_label': '240370.w3', 'prime': 0}
  • id: 871796
    {'conductor': 240370, 'elladic_image': '4.6.0.5', 'lmfdb_label': '240370.w3', 'modell_image': '2B', 'prime': 2}
  • id: 871797
    {'conductor': 240370, 'elladic_image': '3.4.0.1', 'lmfdb_label': '240370.w3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 240370.w does not appear in ec_padic