Elliptic curve data - 381150.cu2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '381150cu', 'Clabel': '381150cu1', 'Cnumber': 1, 'abc_quality': 1.0499881632354304, 'absD': 1220437230705000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1848, 'ainvs': [1, -1, 0, 26658, -142884], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 381150, 'degree': 1866240, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5842650563602438065267155966', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 72, 'isogeny_degrees': [1, 3], 'jinv': [2595575, 1512], 'lmfdb_iso': '381150.cu', 'lmfdb_label': '381150.cu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 24, -2], 'min_quad_twist_disc': 33, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '33.8.0-3.a.1.1', '168.8.0.?', '1848.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.70046802851769643606879858859', 'prec': 107}, 'szpiro_ratio': 3.2827239467354574, '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, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 0, 1, 3, 0, 4, 0], 'aplist': [-1, 0, 0, -1, 0, 1, 3, 4, 3, 3, 5, -10, 9, 1, 0, -9, -9, -11, -4, 12, 10, 10, 9, 6, 14], 'class_deg': 3, 'class_size': 2, 'conductor': 381150, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '381150.cu', 'trace_hash': 1221572534829033650}
• 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': '0.042065383855765862072737392579', 'prec': 107}, 'conductor': 381150, 'gens': [], 'heights': [], 'lmfdb_label': '381150.cu2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28696432171270688307330940736', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2957145737016550645864752588825599979', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 381150.cu2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15778298
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '381150.cu2', 'torsion': [3]}
  • id: 15778299
    {'degree': 3, 'field': [-38, 2, -1, 1], 'lmfdb_label': '381150.cu2', 'torsion': [2]}
  • id: 15778302
    {'degree': 6, 'field': [264, 1914, 166, 89, -21, -1, 1], 'lmfdb_label': '381150.cu2', 'torsion': [6]}
  • id: 15778300
    {'degree': 6, 'field': [672, 0, 352, 0, 34, 0, 1], 'lmfdb_label': '381150.cu2', 'torsion': [2, 2]}
  • id: 15778301
    {'degree': 6, 'field': [1532, -552, -69, 51, 12, -3, 1], 'lmfdb_label': '381150.cu2', 'torsion': [3]}
  • id: 15778303
    {'degree': 12, 'field': [-339764576, -272848752, -146864154, -36086858, -5437203, -309864, 48204, 1338, -1257, -716, -24, -6, 1], 'lmfdb_label': '381150.cu2', 'torsion': [4]}
  • id: 15778304
    {'degree': 12, 'field': [36, -1062, 10401, 1239, 2308, 255, 647, -450, 3, 21, -4, -3, 1], 'lmfdb_label': '381150.cu2', 'torsion': [3, 3]}
  • id: 15778305
    {'degree': 12, 'field': [41202144, 1615680, -1331712, -577536, 313990, -33708, 17033, -5094, 1437, -120, 35, -6, 1], 'lmfdb_label': '381150.cu2', 'torsion': [2, 6]}
  • id: 15778306
    {'degree': 18, 'field': [-674647947, 1457093124, -828582129, -427814379, 694899567, -232882695, -49323654, 46645065, -1550097, -4289760, 161271, 297675, -12654, -16173, 1215, 570, -54, -9, 1], 'lmfdb_label': '381150.cu2', 'torsion': [9]}
  • id: 15778307
    {'degree': 18, 'field': [62208, 567216, 867609, -1422453, 2933769, -2627644, 2160363, -1278335, 720116, -346421, 163900, -67279, 25660, -7957, 2171, -458, 83, -9, 1], 'lmfdb_label': '381150.cu2', '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: 9426729
    {'conductor': 381150, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '381150.cu2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9426730
    {'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '381150.cu2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9426731
    {'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '381150.cu2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9426732
    {'conductor': 381150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '381150.cu2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9426733
    {'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '381150.cu2', '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: 4032721
    {'adelic_gens': [[4, 3, 9, 7], [1770, 407, 1397, 450], [1585, 1518, 891, 859], [925, 1518, 759, 859], [463, 1518, 1221, 859], [1, 6, 0, 1], [3, 4, 8, 11], [1843, 6, 1842, 7], [1175, 0, 0, 1847], [1, 0, 6, 1]], 'adelic_image': '1848.16.0.?', 'conductor': 381150, 'lmfdb_label': '381150.cu2', 'prime': 0}
  • id: 1303387
    {'conductor': 381150, 'elladic_image': '3.4.0.1', 'lmfdb_label': '381150.cu2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 381150.cu does not appear in ec_padic