Elliptic curve data - 290400.ca2

Formats: - HTML - YAML - JSON - 2024-05-11T08:49:37.693878

• 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': '290400ca', 'Clabel': '290400ca2', 'Cnumber': 2, 'abc_quality': 1.1272974995934528, 'absD': 5739857640000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -170408, 26886312], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 290400, 'degree': 1966080, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8403987275331385550331687978', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 52, 'isogeny_degrees': [1, 2, 4], 'jinv': [38614472, 405], 'lmfdb_iso': '290400.ca', 'lmfdb_label': '290400.ca2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -56, 180], 'min_quad_twist_disc': 220, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '40.12.0.v.1', '44.12.0-4.c.1.1', '120.24.0.?', '264.24.0.?', '440.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68312825050305588636110674889', 'prec': 107}, 'szpiro_ratio': 3.7961210067592392, '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, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, -2, 0, -8, 0], 'aplist': [0, -1, 0, 0, 0, 2, -2, -8, -4, 6, 0, -2, 6, 4, 12, 6, 12, -14, 12, 0, 2, 8, -4, 2, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 290400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '290400.ca', 'trace_hash': 64526991334518279}
• 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': '0.025202868664107811894146375756', 'prec': 107}, 'conductor': 290400, 'gens': [], 'heights': [], 'lmfdb_label': '290400.ca2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.42875380456907928416921949212', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7150152182763171366768779684808664045', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[257, 0, 1]], 'xcoord_integral_points': [257]}
• lmfdb_label 290400.ca2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12326352
    {'degree': 2, 'field': [-110, 0, 1], 'lmfdb_label': '290400.ca2', 'torsion': [4]}
  • id: 12326351
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '290400.ca2', 'torsion': [4]}
  • id: 12326350
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '290400.ca2', 'torsion': [2, 2]}
  • id: 12326353
    {'degree': 4, 'field': [1, 0, -42, 0, 1], 'lmfdb_label': '290400.ca2', 'torsion': [2, 4]}
  • id: 12326357
    {'degree': 8, 'field': [-292360, -81920, 35720, 8920, -520, -320, 4, -4, 1], 'lmfdb_label': '290400.ca2', 'torsion': [6]}
  • id: 12326355
    {'degree': 8, 'field': [-1979, -3840, 234, 2640, 911, -120, -66, 0, 1], 'lmfdb_label': '290400.ca2', 'torsion': [8]}
  • id: 12326354
    {'degree': 8, 'field': [1401, -1388, 1362, 40, 11, -40, 18, -4, 1], 'lmfdb_label': '290400.ca2', 'torsion': [2, 4]}
  • id: 12326356
    {'degree': 8, 'field': [99856, 0, -8832, 0, 944, 0, -48, 0, 1], 'lmfdb_label': '290400.ca2', 'torsion': [8]}
  • id: 12326360
    {'degree': 16, 'field': [-1319, 2756, 29832, -15836, -87216, 42576, 83788, -44204, -32367, 19544, 4768, -3828, -90, 308, -24, -8, 1], 'lmfdb_label': '290400.ca2', 'torsion': [2, 8]}
  • id: 12326358
    {'degree': 16, 'field': [63001, 0, 114220, 0, 142606, 0, 30240, 0, -3249, 0, -840, 0, 226, 0, -20, 0, 1], 'lmfdb_label': '290400.ca2', 'torsion': [4, 4]}
  • id: 12326362
    {'degree': 16, 'field': [81350, -968700, 2762200, 1900360, -2601580, -785020, 414054, -8, -9849, 11752, 270, 1520, 592, -44, -28, 0, 1], 'lmfdb_label': '290400.ca2', 'torsion': [12]}
  • id: 12326359
    {'degree': 16, 'field': [2512225, 0, -2508160, 0, 1655624, 0, -487104, 0, 63794, 0, 8832, 0, 776, 0, -64, 0, 1], 'lmfdb_label': '290400.ca2', 'torsion': [2, 8]}
  • id: 12326361
    {'degree': 16, 'field': [165122500, 0, -32499122000, 0, 5103348400, 0, -270707400, 0, 3643500, 0, 124200, 0, -3500, 0, -20, 0, 1], 'lmfdb_label': '290400.ca2', 'torsion': [2, 6]}
  • id: 12326363
    {'degree': 16, 'field': [313551841849, 0, -96972573532, 0, 12408651100, 0, -895177804, 0, 40336210, 0, -1166236, 0, 21148, 0, -220, 0, 1], 'lmfdb_label': '290400.ca2', 'torsion': [12]}
• 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: 7193118
    {'conductor': 290400, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '290400.ca2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7193119
    {'conductor': 290400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '290400.ca2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7193120
    {'conductor': 290400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '290400.ca2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 7193121
    {'conductor': 290400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '290400.ca2', 'prime': 11, '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: 3493316
    {'adelic_gens': [[1264, 957, 715, 1198], [1, 0, 8, 1], [408, 473, 187, 1134], [1, 8, 0, 1], [1, 4, 4, 17], [791, 792, 242, 65], [881, 968, 44, 1233], [1313, 8, 1312, 9], [119, 0, 0, 1319], [7, 6, 1314, 1315]], 'adelic_image': '1320.48.0.?', 'conductor': 290400, 'lmfdb_label': '290400.ca2', 'prime': 0}
  • id: 1028429
    {'conductor': 290400, 'elladic_image': '4.6.0.1', 'lmfdb_label': '290400.ca2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 290400.ca does not appear in ec_padic