Elliptic curve data - 332350.ca2

Formats: - HTML - YAML - JSON - 2024-06-08T06:00:02.972045

• 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': '332350ca', 'Clabel': '332350ca1', 'Cnumber': 1, 'abc_quality': 0.9526210838125413, 'absD': 29368180202300, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 23460, 'ainvs': [1, 0, 0, -10988, -359468], 'analytic_rank': 1, 'bad_primes': [2, 5, 17, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 332350, 'degree': 746496, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3003374474160032963419068764', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 52, 'isogeny_degrees': [1, 3], 'jinv': [243135625, 48668], 'lmfdb_iso': '332350.ca', 'lmfdb_label': '332350.ca2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -38, -89], 'min_quad_twist_disc': 17, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '92.2.0.?', '255.8.0.?', '276.8.0.?', '23460.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1699001430235176872257747116', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.38450887668445480621632032141', 'prec': 107}, 'szpiro_ratio': 3.1089712322032472, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, -2, -1, 1, 1, 0, -3, -2, 1, -1, 0, 1, 0, 1, -1, 0], 'aplist': [1, -2, 0, -1, -3, 1, 0, -1, 1, 3, -2, 2, -3, 1, 0, 12, -6, -2, -8, 6, -7, 1, 9, -18, -4], 'class_deg': 3, 'class_size': 2, 'conductor': 332350, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '332350.ca', 'trace_hash': 1021217775416551843}
• 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': '0.074223468271615094617847819795', 'prec': 107}, 'conductor': 332350, 'gens': [[568, 13010, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1699001430235176872257747116', 'prec': 100}], 'lmfdb_label': '332350.ca2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.47283590928711667495789144268', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6380495748198339973758109427312234278', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [568]}
• lmfdb_label 332350.ca2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13934057
    {'degree': 2, 'field': [-21, -1, 1], 'lmfdb_label': '332350.ca2', 'torsion': [3]}
  • id: 13934058
    {'degree': 3, 'field': [2, -8, -1, 1], 'lmfdb_label': '332350.ca2', 'torsion': [2]}
  • id: 13934061
    {'degree': 6, 'field': [-3519, -391, 1410, 55, -80, -1, 1], 'lmfdb_label': '332350.ca2', 'torsion': [6]}
  • id: 13934059
    {'degree': 6, 'field': [8, 52, 53, -22, -26, -2, 1], 'lmfdb_label': '332350.ca2', 'torsion': [2, 2]}
  • id: 13934060
    {'degree': 6, 'field': [1566, -846, 30, -45, 25, -1, 1], 'lmfdb_label': '332350.ca2', 'torsion': [3]}
  • id: 13934064
    {'degree': 12, 'field': [-16034059, -32231648, -17304701, 2511270, 3747290, 163852, -289521, -17942, 10690, 420, -181, -2, 1], 'lmfdb_label': '332350.ca2', 'torsion': [2, 6]}
  • id: 13934063
    {'degree': 12, 'field': [2452356, -1324836, 668736, 115560, -76320, 39384, 3561, -1911, 550, 65, -24, -1, 1], 'lmfdb_label': '332350.ca2', 'torsion': [3, 3]}
  • id: 13934062
    {'degree': 12, 'field': [14194624, -5911840, 36128, -1694160, -191500, -184750, -38730, -5075, -2725, -90, -22, -5, 1], 'lmfdb_label': '332350.ca2', 'torsion': [4]}
  • id: 13934065
    {'degree': 18, 'field': [5965920569, -19062546160, 6584795006, 20766477303, -9840368885, -8730717350, 4462017830, 1203078175, -637685710, -80271855, 42390021, 2961215, -1482741, -61873, 27855, 678, -265, -3, 1], 'lmfdb_label': '332350.ca2', 'torsion': [9]}
  • id: 13934066
    {'degree': 18, 'field': [22997179080, -8292116520, 1703367600, -939924330, 415782550, 124057950, 51634216, -5741734, -411046, -1682355, -352375, 15346, -11744, 4024, 760, 60, 54, -1, 1], 'lmfdb_label': '332350.ca2', 'torsion': [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: 8227032
    {'conductor': 332350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '332350.ca2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8227033
    {'conductor': 332350, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '332350.ca2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8227034
    {'conductor': 332350, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '332350.ca2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8227035
    {'conductor': 332350, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '332350.ca2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 3743568
    {'adelic_gens': [[2211, 6902, 11050, 20707], [4, 3, 9, 7], [12241, 20706, 11883, 15199], [13686, 7021, 21505, 19551], [1, 6, 0, 1], [11731, 20706, 10353, 15199], [3, 4, 8, 11], [23455, 6, 23454, 7], [6899, 0, 0, 23459], [1, 0, 6, 1]], 'adelic_image': '23460.16.0.?', 'conductor': 332350, 'lmfdb_label': '332350.ca2', 'prime': 0}
  • id: 1157167
    {'conductor': 332350, 'elladic_image': '3.4.0.1', 'lmfdb_label': '332350.ca2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 332350.ca does not appear in ec_padic