Elliptic curve data - 35574.k2

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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': '35574d', 'Clabel': '35574d1', 'Cnumber': 1, 'abc_quality': 1.1169180726528216, 'absD': 61276179746166, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [1, 1, 0, -6052, -420482], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 35574, 'degree': 99960, 'elladic_images': ['7.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3334241998858392428936854952', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 7], 'jinv': [-2401, 6], 'lmfdb_iso': '35574.k', 'lmfdb_label': '35574.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1, -1], 'min_quad_twist_disc': 77, 'modell_images': ['7B.6.3'], 'modm_images': ['7.24.0.a.2', '24.2.0.b.1', '77.48.0.?', '168.48.2.?', '1848.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 17787], [3, 4, 11858], [7, 26, 726], [11, 62, 294]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1627968692168882325408547894', 'prec': 103}, 'szpiro_ratio': 3.76066760595449, '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, -1, 1, 1, 1, 0, -1, 1, -1, 0, -1, 0, 0, -1, 1, 4, -1, -8, 1], 'aplist': [-1, -1, 1, 0, 0, 0, 4, -8, -4, 5, 3, -4, 0, -2, -6, -9, -11, 6, -2, 2, -10, -3, 7, -6, 7], 'class_deg': 7, 'class_size': 2, 'conductor': 35574, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '35574.k', 'trace_hash': 2187431104726001807}
• 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': '0.069470824926806616393914238996', 'prec': 107}, 'conductor': 35574, 'gens': [], 'heights': [], 'lmfdb_label': '35574.k2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.25208819060142144188019115770', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.75626457180426432564057347310518457018', 'prec': 133}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [4, 0], '5': [2, 0], '7': 'a', '11': 'a', '13': [0, 0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '35574.k2'}
• ec_torsion_growth •

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

  
  
  • id: 1767400
    {'degree': 3, 'field': [-6, -2, -1, 1], 'lmfdb_label': '35574.k2', 'torsion': [2]}
  • id: 1767401
    {'degree': 6, 'field': [6, 0, 13, 0, 16, 0, 1], 'lmfdb_label': '35574.k2', 'torsion': [2, 2]}
  • id: 1767402
    {'degree': 6, 'field': [71, -4, 29, -3, 4, -1, 1], 'lmfdb_label': '35574.k2', 'torsion': [7]}
  • id: 1767403
    {'degree': 8, 'field': [49377, -31848, 2096, 1512, -102, -32, -12, 0, 1], 'lmfdb_label': '35574.k2', 'torsion': [3]}
  • id: 1767404
    {'degree': 12, 'field': [-308043, -142734, -676500, 875386, -512440, 134610, -9414, -1318, 312, -14, 16, -6, 1], 'lmfdb_label': '35574.k2', 'torsion': [4]}
  • id: 1767405
    {'degree': 14, 'field': [54279, -1485693, 2490912, -1629999, 31257, 175446, -27675, 19779, -4659, -1050, 243, -75, 18, -3, 1], 'lmfdb_label': '35574.k2', 'torsion': [7]}
  • id: 1767406
    {'degree': 18, 'field': [68209, -53970, 155859, -90693, 134375, -75831, 64851, -31637, 22291, -8230, 6026, -1265, 1269, -113, 189, -10, 19, -1, 1], 'lmfdb_label': '35574.k2', 'torsion': [14]}
• 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: 838048
    {'conductor': 35574, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35574.k2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 838049
    {'conductor': 35574, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35574.k2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 838050
    {'conductor': 35574, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '35574.k2', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
  • id: 838051
    {'conductor': 35574, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '35574.k2', 'prime': 11, 'reduction_type': 0, '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: 1902181
    {'adelic_gens': [[1835, 14, 1834, 15], [1, 14, 0, 1], [232, 847, 385, 1002], [463, 1694, 0, 1], [848, 847, 77, 1002], [1, 0, 14, 1], [8, 5, 91, 57], [879, 88, 770, 1231], [1175, 0, 0, 1847]], 'adelic_image': '1848.96.2.?', 'conductor': 35574, 'lmfdb_label': '35574.k2', 'prime': 0}
  • id: 158273
    {'conductor': 35574, 'elladic_image': '7.24.0.2', 'lmfdb_label': '35574.k2', 'modell_image': '7B.6.3', 'prime': 7}
• lmfdb_iso 35574.k does not appear in ec_padic