Elliptic curve data - 379200.ip2

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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': '379200ip', 'Clabel': '379200ip1', 'Cnumber': 1, 'abc_quality': 0.8903130681137519, 'absD': 12957975000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1580, 'ainvs': [0, 1, 0, -6008, 44238], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 379200, 'degree': 1032192, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2070946049576319447058500338', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 223, 'isogeny_degrees': [1, 2], 'jinv': [23987543104, 12957975], 'lmfdb_iso': '379200.ip', 'lmfdb_label': '379200.ip2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -961, -2639], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '316.6.0.?', '1580.12.0.?'], '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, 'serre_invariants': [[2, 2, 1975], [3, 4, 126400], [5, 18, 15168], [79, 80, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.055802058460609102696854306458', 'prec': 107}, 'szpiro_ratio': 2.9360767817330466, '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, 4, 0, 1, 0, 0, 0, -2, 0, 0, 0, 4, 0, 4, 0], 'aplist': [0, 1, 0, 4, 0, -2, 4, 4, -2, 10, -4, -8, -10, 12, 8, -4, 12, -6, -14, -16, -14, -1, -6, 6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 379200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '379200.ip', 'trace_hash': 510201508579669991}
• 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': '0.089439826456166291967015714556', 'prec': 107}, 'conductor': 379200, 'gens': [], 'heights': [], 'lmfdb_label': '379200.ip2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.61925915448774877306537475735', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9540732359019901845229980588047905700', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[73, 0, 1]], 'xcoord_integral_points': [73]}
• lmfdb_label 379200.ip2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15710042
    {'degree': 2, 'field': [-79, 0, 1], 'lmfdb_label': '379200.ip2', 'torsion': [2, 2]}
  • id: 15710043
    {'degree': 4, 'field': [316, 0, -38, 0, 1], 'lmfdb_label': '379200.ip2', 'torsion': [4]}
  • id: 15710046
    {'degree': 8, 'field': [-492075, 0, -71280, 0, -2430, 0, 0, 0, 1], 'lmfdb_label': '379200.ip2', 'torsion': [6]}
  • id: 15710044
    {'degree': 8, 'field': [1, 0, -40, 0, 323, 0, -40, 0, 1], 'lmfdb_label': '379200.ip2', 'torsion': [2, 4]}
  • id: 15710045
    {'degree': 8, 'field': [1521, 0, 78140, 0, 6323, 0, -140, 0, 1], 'lmfdb_label': '379200.ip2', 'torsion': [2, 4]}
  • id: 15710047
    {'degree': 16, 'field': [38950081, 0, -920996852, 0, 1011840848, 0, -199736964, 0, -678610, 0, 205716, 0, -2512, 0, -92, 0, 1], 'lmfdb_label': '379200.ip2', 'torsion': [8]}
  • id: 15710048
    {'degree': 16, 'field': [311919963497536, 0, -282718402274432, 0, 10779805759168, 0, -230648335424, 0, 3100648720, 0, -28520624, 0, 169888, 0, -632, 0, 1], 'lmfdb_label': '379200.ip2', '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: 9382561
    {'conductor': 379200, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '379200.ip2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9382562
    {'conductor': 379200, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '379200.ip2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 9382563
    {'conductor': 379200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '379200.ip2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9382564
    {'conductor': 379200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '379200.ip2', 'prime': 79, '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: 4021907
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [322, 1, 1419, 0], [317, 4, 634, 9], [1577, 4, 1576, 5], [396, 1189, 1185, 396]], 'adelic_image': '1580.12.0.?', 'conductor': 379200, 'lmfdb_label': '379200.ip2', 'prime': 0}
  • id: 1298069
    {'conductor': 379200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '379200.ip2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 379200.ip does not appear in ec_padic