Elliptic curve data - 346560.dr1

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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': '346560dr', 'Clabel': '346560dr2', 'Cnumber': 2, 'abc_quality': 0.9888300260605813, 'absD': 1618241126400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 380, 'ainvs': [0, -1, 0, -233345, 43463457], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 346560, 'degree': 1474560, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6267202940916153382019595589', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2], 'jinv': [781484460931, 900], 'lmfdb_iso': '346560.dr', 'lmfdb_label': '346560.dr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3646, -86257], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.e.1', '76.6.0.?', '380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.97281287211067212738074757691', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.14911022153991274092614548126', 'prec': 107}, 'szpiro_ratio': 3.817430844945165, '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, 1, 0, -2, 0, 1, 0, 0, 0, 2, 0, -1, 0, -6, 0, 0, 0], 'aplist': [0, -1, 1, -2, 0, 2, -6, 0, -6, -4, 0, 10, 8, 2, 2, -2, 0, -14, -4, 12, 6, -8, 2, 8, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 346560, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '346560.dr', 'trace_hash': 802429776038623301}
• 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': '0.038641030985159354603323158833', 'prec': 107}, 'conductor': 346560, 'gens': [[277, 64, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.97281287211067212738074757691', 'prec': 103}], 'lmfdb_label': '346560.dr1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.71155568359884672426478099498', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5376842258277340717884813781007952530', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[279, 0, 1]], 'xcoord_integral_points': [277, 279, 288, 469]}
• lmfdb_label 346560.dr1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14472232
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '346560.dr1', 'torsion': [2, 2]}
  • id: 14472233
    {'degree': 4, 'field': [1216, 0, -38, 0, 1], 'lmfdb_label': '346560.dr1', 'torsion': [4]}
  • id: 14472236
    {'degree': 8, 'field': [-732108, 0, -22382, 0, 2964, 0, 0, 0, 1], 'lmfdb_label': '346560.dr1', 'torsion': [6]}
  • id: 14472234
    {'degree': 8, 'field': [-698, -1400, -712, -956, -308, -40, -58, -4, 1], 'lmfdb_label': '346560.dr1', 'torsion': [2, 4]}
  • id: 14472235
    {'degree': 8, 'field': [12996, 0, 7220, 0, 1653, 0, 0, 0, 1], 'lmfdb_label': '346560.dr1', 'torsion': [2, 4]}
  • id: 14472237
    {'degree': 16, 'field': [113550336, 0, 26393400, 0, 3451561, 0, 41650, 0, -25049, 0, -2860, 0, 31, 0, 10, 0, 1], 'lmfdb_label': '346560.dr1', 'torsion': [8]}
  • id: 14472238
    {'degree': 16, 'field': [46915560000, 0, -25647172800, 0, -1626954800, 0, -82308000, 0, -5129088, 0, -40432, 0, -5016, 0, 0, 0, 1], 'lmfdb_label': '346560.dr1', '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: 8576156
    {'conductor': 346560, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '346560.dr1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8576157
    {'conductor': 346560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '346560.dr1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8576158
    {'conductor': 346560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '346560.dr1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8576159
    {'conductor': 346560, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '346560.dr1', 'prime': 19, '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: 3827877
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [77, 4, 154, 9], [377, 4, 376, 5], [1, 4, 0, 1], [84, 1, 359, 0], [96, 289, 285, 96]], 'adelic_image': '380.12.0.?', 'conductor': 346560, 'lmfdb_label': '346560.dr1', 'prime': 0}
  • id: 1200067
    {'conductor': 346560, 'elladic_image': '2.3.0.1', 'lmfdb_label': '346560.dr1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 346560.dr does not appear in ec_padic