Elliptic curve data - 3234.n4

Formats: - HTML - YAML - JSON - 2024-04-23T16:27:10.583306

• 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': '3234n', 'Clabel': '3234n1', 'Cnumber': 1, 'abc_quality': 0.8499917728489924, 'absD': 434830704, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [1, 0, 1, 170, 536], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3234, 'degree': 1536, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.34546848939650102772357864700', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [4657463, 3696], 'lmfdb_iso': '3234.n', 'lmfdb_label': '3234.n4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 4, 0], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '56.12.0-4.c.1.4', '88.12.0.?', '168.24.0.?', '264.24.0.?', '308.12.0.?', '462.6.0.?', '616.24.0.?', '924.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.62748658513115562482909772472', 'prec': 107}, 'szpiro_ratio': 3.3446174364629058, '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, 1, 1, 2, -1, 0, -1, 1, -2, 1, 1, -2, 0, 2, 1, 6, -1, 4, 2], 'aplist': [-1, 1, 2, 0, 1, -2, 6, 4, -4, 2, 4, -2, 6, 0, 8, -14, -12, 14, 4, 12, -6, 0, 0, 6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 3234, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '3234.n', 'trace_hash': 1974766823220907331}
• 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': '0.50110632303166644709990770644', 'prec': 103}, 'conductor': 3234, 'gens': [], 'heights': [], 'lmfdb_label': '3234.n4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0773180009468748660719330570', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1546360018937497321438661139642682773', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-3, 1, 1]], 'xcoord_integral_points': [-3]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [3, 0], '7': 'a', '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '3234.n4'}
• ec_torsion_growth •

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

  
  
  • id: 168792
    {'degree': 2, 'field': [-19, -1, 1], 'lmfdb_label': '3234.n4', 'torsion': [4]}
  • id: 168793
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '3234.n4', 'torsion': [4]}
  • id: 168791
    {'degree': 2, 'field': [58, -1, 1], 'lmfdb_label': '3234.n4', 'torsion': [2, 2]}
  • id: 168794
    {'degree': 4, 'field': [361, 19, 20, -1, 1], 'lmfdb_label': '3234.n4', 'torsion': [2, 4]}
  • id: 168798
    {'degree': 8, 'field': [-12024, 11133, -11466, 665, -329, -7, 7, -4, 1], 'lmfdb_label': '3234.n4', 'torsion': [6]}
  • id: 168796
    {'degree': 8, 'field': [-7504, 4928, -808, 528, -48, -88, 2, 0, 1], 'lmfdb_label': '3234.n4', 'torsion': [8]}
  • id: 168797
    {'degree': 8, 'field': [784, -4704, 9800, -2352, 168, 0, 14, 0, 1], 'lmfdb_label': '3234.n4', 'torsion': [8]}
  • id: 168795
    {'degree': 8, 'field': [1392400, 0, -126472, 0, 5001, 0, -97, 0, 1], 'lmfdb_label': '3234.n4', 'torsion': [2, 4]}
  • id: 168803
    {'degree': 16, 'field': [2304, 0, -8640, 0, 91408, 0, -4320, 0, -298896, 0, 14040, 0, -1896, 0, 0, 0, 1], 'lmfdb_label': '3234.n4', 'torsion': [12]}
  • id: 168804
    {'degree': 16, 'field': [59049, -195372, 466596, -303360, 11254, -103548, 146880, -42208, -153, 108, 480, -216, 366, -136, 12, 0, 1], 'lmfdb_label': '3234.n4', 'torsion': [12]}
  • id: 168801
    {'degree': 16, 'field': [65536, 0, 24576, 0, -60416, 0, 23040, 0, 73152, 0, 1440, 0, -236, 0, 6, 0, 1], 'lmfdb_label': '3234.n4', 'torsion': [2, 8]}
  • id: 168800
    {'degree': 16, 'field': [65536, 0, 106496, 0, 62464, 0, 166400, 0, 175552, 0, 10400, 0, 244, 0, 26, 0, 1], 'lmfdb_label': '3234.n4', 'torsion': [2, 8]}
  • id: 168802
    {'degree': 16, 'field': [3108429, -8684928, 13075920, -14716440, 12191064, -7757424, 4171320, -1774032, 586410, -157344, 19792, 2376, 624, -208, -24, 0, 1], 'lmfdb_label': '3234.n4', 'torsion': [2, 6]}
  • id: 168799
    {'degree': 16, 'field': [721674496, 1993523712, 2745972096, 2494125312, 1546136176, 622049472, 147616008, 8195112, -7579935, -2424900, -119223, 71184, 11152, -492, -171, 0, 1], 'lmfdb_label': '3234.n4', 'torsion': [4, 4]}
• 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: 58598
    {'conductor': 3234, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3234.n4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 58599
    {'conductor': 3234, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3234.n4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 58600
    {'conductor': 3234, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '3234.n4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 58601
    {'conductor': 3234, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3234.n4', 'prime': 11, '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: 1685045
    {'adelic_gens': [[1163, 1158, 698, 1619], [1, 0, 8, 1], [1688, 3, 1517, 2], [1, 8, 0, 1], [1841, 8, 1840, 9], [1, 4, 4, 17], [7, 6, 1842, 1843], [697, 696, 1630, 703], [620, 1, 1255, 6], [1052, 1847, 505, 1842]], 'adelic_image': '1848.48.0.?', 'conductor': 3234, 'lmfdb_label': '3234.n4', 'prime': 0}
  • id: 16232
    {'conductor': 3234, 'elladic_image': '4.6.0.1', 'lmfdb_label': '3234.n4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 3234.n does not appear in ec_padic