Elliptic curve data - 368082.eu2

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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': '368082eu', 'Clabel': '368082eu3', 'Cnumber': 3, 'abc_quality': 1.065057693637064, 'absD': 43081912866601959750107136, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 8580, 'ainvs': [1, -1, 1, -816501731, 8985908891171], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 368082, 'degree': 179712000, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8541607225568051736752734055', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 124, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-4395631034341, 3145728], 'lmfdb_iso': '368082.eu', 'lmfdb_label': '368082.eu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4437, 113440], 'min_quad_twist_disc': 429, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '12.6.0.f.1', '20.36.0.b.2', '30.36.0.c.1', '52.6.0.c.1', '60.72.1.dt.1', '65.12.0.a.1', '78.6.0.?', '130.36.0.?', '156.12.0.?', '260.72.1.?', '390.72.1.?', '780.144.5.?', '1430.72.0.?', '2145.24.0.?', '2860.144.1.?', '4290.144.1.?', '8580.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0167957494213311957191965074', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 14157], [3, 8, 40898], [5, 2, 184041], [11, 62, 3042], [13, 62, 2178]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18219492372741250390656341688', 'prec': 103}, 'szpiro_ratio': 5.709746354570423, '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, 0, 1, -2, 0, -2, 1, 0, -2, 0, 0, 0, -2, 0, 1, 2, 0, 6, -2], 'aplist': [1, 0, -2, -2, 0, 0, 2, 6, 4, -10, 10, -8, 10, 4, -12, 6, 4, -2, -2, 0, -4, 0, -4, -6, -12], 'class_deg': 10, 'class_size': 4, 'conductor': 368082, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '368082.eu', 'trace_hash': 1732334600021698499}
• 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': '0.00044907464127713117415469863221', 'prec': 113}, 'conductor': 368082, 'gens': [[15337, 258168, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0167957494213311957191965074', 'prec': 100}], 'lmfdb_label': '368082.eu2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.063604359763569623554089733356', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.262160193266589024124574892168575336', 'prec': 130}, 'tamagawa_product': 320, 'torsion_generators': [[-32997, 16498, 1]], 'xcoord_integral_points': [-32997, 12799, 15337, 17691]}
• lmfdb_label 368082.eu2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15288958
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '368082.eu2', 'torsion': [2, 2]}
  • id: 15288959
    {'degree': 4, 'field': [-348, 108, -37, -1, 1], 'lmfdb_label': '368082.eu2', 'torsion': [4]}
  • id: 15288960
    {'degree': 4, 'field': [68656, 4, -544, -1, 1], 'lmfdb_label': '368082.eu2', 'torsion': [10]}
  • id: 15288963
    {'degree': 8, 'field': [-2396658, 125422, -15494, -14979, 7412, -373, 135, -2, 1], 'lmfdb_label': '368082.eu2', 'torsion': [6]}
  • id: 15288961
    {'degree': 8, 'field': [160000, 0, -31948, 0, 2244, 0, -67, 0, 1], 'lmfdb_label': '368082.eu2', 'torsion': [2, 4]}
  • id: 15288962
    {'degree': 8, 'field': [184900, 0, 28383, 0, 1943, 0, 69, 0, 1], 'lmfdb_label': '368082.eu2', 'torsion': [2, 4]}
  • id: 15288964
    {'degree': 8, 'field': [63324160, 529920, -1548000, -4160, 21586, -351, -179, -1, 1], 'lmfdb_label': '368082.eu2', 'torsion': [2, 10]}
  • id: 15288966
    {'degree': 16, 'field': [1493668632, -3143697456, 3873683052, -2243186130, 1040666610, -154737990, 57276607, -13511158, 2015790, -423930, 20265, 8646, -2859, 414, 6, -4, 1], 'lmfdb_label': '368082.eu2', 'torsion': [2, 6]}
  • id: 15288967
    {'degree': 16, 'field': [1654536976, 0, 2579289012, 0, 535291753, 0, -2626496, 0, -3751120, 0, 38054, 0, 5568, 0, -148, 0, 1], 'lmfdb_label': '368082.eu2', 'torsion': [20]}
  • id: 15288965
    {'degree': 16, 'field': [38414351452, 31727453240, 14568892644, 3289989884, 247381519, -7651332, 38992328, 18831400, 892200, -1141496, -256984, 13716, 9772, 212, -156, -4, 1], 'lmfdb_label': '368082.eu2', 'torsion': [8]}
  • id: 15288968
    {'degree': 20, 'field': [730008574608699, 0, 0, 0, 0, 137416668588, 0, 0, 0, 0, 43293801, 0, 0, 0, 0, -13146, 0, 0, 0, 0, 1], 'lmfdb_label': '368082.eu2', 'torsion': [10]}
• 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: 9107940
    {'conductor': 368082, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '368082.eu2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
  • id: 9107941
    {'conductor': 368082, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '368082.eu2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9107942
    {'conductor': 368082, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '368082.eu2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9107943
    {'conductor': 368082, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '368082.eu2', 'prime': 13, '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: 3955806
    {'adelic_gens': [[779, 0, 0, 8579], [2518, 5445, 8195, 8062], [8561, 20, 8560, 21], [4674, 7007, 605, 7204], [4291, 4686, 0, 1], [11, 16, 8340, 8231], [1, 10, 10, 101], [1, 0, 20, 1], [1717, 7040, 0, 1], [1, 20, 0, 1]], 'adelic_image': '8580.288.5.?', 'conductor': 368082, 'lmfdb_label': '368082.eu2', 'prime': 0}
  • id: 1264975
    {'conductor': 368082, 'elladic_image': '2.3.0.1', 'lmfdb_label': '368082.eu2', 'modell_image': '2B', 'prime': 2}
  • id: 1264976
    {'conductor': 368082, 'elladic_image': '5.6.0.1', 'lmfdb_label': '368082.eu2', 'modell_image': '5B', 'prime': 5}
• lmfdb_iso 368082.eu does not appear in ec_padic