Elliptic curve data - 350727.f1

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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': '350727f', 'Clabel': '350727f2', 'Cnumber': 2, 'abc_quality': 0.9038476152848134, 'absD': 3649036848257853, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 884, 'ainvs': [1, 0, 0, -51853, -3498292], 'analytic_rank': 1, 'bad_primes': [3, 13, 17, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 350727, 'degree': 1441792, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6976435346358719913327301875', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [104154702625, 24649677], 'lmfdb_iso': '350727.f', 'lmfdb_label': '350727.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -98, 279], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '26.6.0.b.1', '68.6.0.c.1', '884.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2454841684333592951302162639', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12989642667129714592935377160', 'prec': 103}, 'szpiro_ratio': 3.4604422866538074, '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, 0, -1, 2, 3, 1, 0, 2, -1, -1, -2, 0, -1, -1, -1, 0, 0], 'aplist': [-1, 1, 0, 2, 2, -1, -1, 0, 0, -6, 6, -4, -12, 4, 0, 6, 0, 2, 0, 10, -4, -12, 4, 10, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 350727, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '350727.f', 'trace_hash': 1314515929276613600}
• 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': '0.033530927091574166299586068098', 'prec': 107}, 'conductor': 350727, 'gens': [[-163, 875, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2454841684333592951302162639', 'prec': 100}], 'lmfdb_label': '350727.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.32179874004757233762629302852', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4127237784168542161457009903624869207', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-721, 721, 2]], 'xcoord_integral_points': [-163, 632, 2459]}
• lmfdb_label 350727.f1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14639096
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '350727.f1', 'torsion': [2, 2]}
  • id: 14639097
    {'degree': 4, 'field': [27508, 0, 345, 0, 1], 'lmfdb_label': '350727.f1', 'torsion': [4]}
  • id: 14639100
    {'degree': 8, 'field': [-9794601, 3625074, -4340925, 48944, 67099, 233, -449, -1, 1], 'lmfdb_label': '350727.f1', 'torsion': [6]}
  • id: 14639098
    {'degree': 8, 'field': [13689, 0, -37180, 0, -3575, 0, -52, 0, 1], 'lmfdb_label': '350727.f1', 'torsion': [2, 4]}
  • id: 14639099
    {'degree': 8, 'field': [4477456, 0, 827356, 0, 40733, 0, 391, 0, 1], 'lmfdb_label': '350727.f1', 'torsion': [2, 4]}
  • id: 14639102
    {'degree': 16, 'field': [-25704961653141, -3093923540277, 1543747166973, 327018960108, 61618941783, -24300131994, -139819353, 538949709, -23368956, -762751, -165171, -26161, 6793, 608, -74, -6, 1], 'lmfdb_label': '350727.f1', 'torsion': [2, 6]}
  • id: 14639101
    {'degree': 16, 'field': [188057137394048, 27306278368512, 12704483291136, 1544872685824, 311964580928, 40593973056, 7142069168, 832438048, 150174558, 8746092, 1961546, 40800, 34771, -612, 210, 0, 1], 'lmfdb_label': '350727.f1', 'torsion': [8]}
• 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: 8683440
    {'conductor': 350727, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '350727.f1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 8683441
    {'conductor': 350727, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '350727.f1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8683442
    {'conductor': 350727, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '350727.f1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8683443
    {'conductor': 350727, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '350727.f1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3853778
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [881, 4, 880, 5], [105, 4, 210, 9], [342, 1, 271, 0], [665, 222, 220, 663]], 'adelic_image': '884.12.0.?', 'conductor': 350727, 'lmfdb_label': '350727.f1', 'prime': 0}
  • id: 1213572
    {'conductor': 350727, 'elladic_image': '2.3.0.1', 'lmfdb_label': '350727.f1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 350727.f does not appear in ec_padic