Elliptic curve data - 18240.v1

Formats: - HTML - YAML - JSON - 2024-05-05T23:52:43.119267

• 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': '18240ce', 'Clabel': '18240ce2', 'Cnumber': 2, 'abc_quality': 0.9792620850623955, 'absD': 1452382617600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [0, -1, 0, -103585, -12797375], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 18240, 'degree': 73728, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4837115586926982153908032516', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [468898230633769, 5540400], 'lmfdb_iso': '18240.v', 'lmfdb_label': '18240.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1618, 24388], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.c.1', '76.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4604803316202668140320680536', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44399078785278025126495506941', 'prec': 103}, 'szpiro_ratio': 4.714738659966912, '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, -2, 0, 1, 0, -6, 0, 0, 0, -1, 0, 2, 0, -1, 0], 'aplist': [0, -1, 1, -2, -6, 0, 2, -1, -4, 8, 8, 4, -4, -6, 12, -6, -4, -2, -8, 0, 6, -8, 4, -4, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 18240, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '18240.v', 'trace_hash': 314537185045932033}
• 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': '0.051435683422092399636997457396', 'prec': 107}, 'conductor': 18240, 'gens': [[2461, 120960, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4604803316202668140320680536', 'prec': 100}], 'lmfdb_label': '18240.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26611864016808888444794654690', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6835932807168107183338305700942666755', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-185, 0, 1]], 'xcoord_integral_points': [-185, 2461]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [3, 1, 0], '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '18240.v1'}
• ec_torsion_growth •

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

  
  
  • id: 932701
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '18240.v1', 'torsion': [2, 2]}
  • id: 932702
    {'degree': 4, 'field': [76, 0, 8, 0, 1], 'lmfdb_label': '18240.v1', 'torsion': [4]}
  • id: 932705
    {'degree': 8, 'field': [-27648, 0, 8352, 0, -576, 0, 0, 0, 1], 'lmfdb_label': '18240.v1', 'torsion': [6]}
  • id: 932703
    {'degree': 8, 'field': [-1800, -2160, 200, 944, 224, -40, -20, -4, 1], 'lmfdb_label': '18240.v1', 'torsion': [2, 4]}
  • id: 932704
    {'degree': 8, 'field': [454, -828, 946, -260, 191, -76, 30, -4, 1], 'lmfdb_label': '18240.v1', 'torsion': [2, 4]}
  • id: 932706
    {'degree': 16, 'field': [5022081, 0, 6038550, 0, 3000321, 0, 117720, 0, 84276, 0, 1530, 0, 561, 0, 0, 0, 1], 'lmfdb_label': '18240.v1', 'torsion': [8]}
  • id: 932707
    {'degree': 16, 'field': [437855625, 0, -1297468800, 0, -243123300, 0, -11036160, 0, 425502, 0, 24448, 0, -756, 0, 0, 0, 1], 'lmfdb_label': '18240.v1', 'torsion': [2, 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: 409364
    {'conductor': 18240, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '18240.v1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 409365
    {'conductor': 18240, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '18240.v1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 409366
    {'conductor': 18240, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '18240.v1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 409367
    {'conductor': 18240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '18240.v1', 'prime': 19, '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: 1785724
    {'adelic_gens': [[1, 2, 2, 5], [856, 289, 285, 856], [1, 4, 0, 1], [457, 4, 914, 9], [1137, 4, 1136, 5], [422, 1, 359, 0], [1, 0, 4, 1], [3, 4, 8, 11], [761, 4, 382, 9]], 'adelic_image': '1140.12.0.?', 'conductor': 18240, 'lmfdb_label': '18240.v1', 'prime': 0}
  • id: 85413
    {'conductor': 18240, 'elladic_image': '2.3.0.1', 'lmfdb_label': '18240.v1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 837168
    {'lmfdb_iso': '18240.v', 'p': 7, 'prec': 20, 'unit': 8490754547727703, 'val': 1}
  • id: 837166
    {'lmfdb_iso': '18240.v', 'p': 11, 'prec': 20, 'unit': 47235725107567223901, 'val': 1}
  • id: 837173
    {'lmfdb_iso': '18240.v', 'p': 17, 'prec': 20, 'unit': 43869171773980762837488, 'val': 1}
  • id: 837178
    {'lmfdb_iso': '18240.v', 'p': 23, 'prec': 20, 'unit': 64804376614221344264913574, 'val': 1}
  • id: 837171
    {'lmfdb_iso': '18240.v', 'p': 29, 'prec': 20, 'unit': 5043727921315036226020999207, 'val': 1}
  • id: 837182
    {'lmfdb_iso': '18240.v', 'p': 31, 'prec': 20, 'unit': 14821969023067294138164375849, 'val': 1}
  • id: 837167
    {'lmfdb_iso': '18240.v', 'p': 37, 'prec': 20, 'unit': 617423520477186830329131985944, 'val': 1}
  • id: 837169
    {'lmfdb_iso': '18240.v', 'p': 41, 'prec': 20, 'unit': 1362910587273746909205514312166, 'val': 1}
  • id: 837170
    {'lmfdb_iso': '18240.v', 'p': 43, 'prec': 20, 'unit': 9067988327502413640485870921499, 'val': 1}
  • id: 837180
    {'lmfdb_iso': '18240.v', 'p': 47, 'prec': 20, 'unit': 336349077528003665145789541040, 'val': 1}
  • id: 837175
    {'lmfdb_iso': '18240.v', 'p': 53, 'prec': 20, 'unit': 158843587206100814060200187933789, 'val': 1}
  • id: 837176
    {'lmfdb_iso': '18240.v', 'p': 59, 'prec': 20, 'unit': 3055500015534053584056899930329824, 'val': 1}
  • id: 837181
    {'lmfdb_iso': '18240.v', 'p': 61, 'prec': 20, 'unit': 1879545365667659945365579473037091, 'val': 1}
  • id: 837165
    {'lmfdb_iso': '18240.v', 'p': 67, 'prec': 20, 'unit': 48259498957660119137120333003906222, 'val': 1}
  • id: 837177
    {'lmfdb_iso': '18240.v', 'p': 73, 'prec': 20, 'unit': 167540678497034592553506358134346340, 'val': 1}
  • id: 837172
    {'lmfdb_iso': '18240.v', 'p': 79, 'prec': 20, 'unit': 964414109002533879136191503655265646, 'val': 1}
  • id: 837174
    {'lmfdb_iso': '18240.v', 'p': 83, 'prec': 20, 'unit': 1076004539682325262201865864621095196, 'val': 1}
  • id: 837179
    {'lmfdb_iso': '18240.v', 'p': 89, 'prec': 20, 'unit': 1994981467777750929712558924033368789, 'val': 1}
  • id: 837164
    {'lmfdb_iso': '18240.v', 'p': 97, 'prec': 20, 'unit': 49664341776953362906984006674520994935, 'val': 1}