Elliptic curve data - 41574.h1

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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': '41574g', 'Clabel': '41574g2', 'Cnumber': 2, 'abc_quality': 1.0633864393282562, 'absD': 53684712354490464, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 63960, 'ainvs': [1, 0, 1, -97941419, -373084493962], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 41], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 41574, 'degree': 3510000, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9775538903779141475487514797', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 7, 'isogeny_degrees': [1, 5], 'jinv': [-21525971829968662032241, 11122195296], 'lmfdb_iso': '41574.h', 'lmfdb_label': '41574.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -579535, -169860007], 'min_quad_twist_disc': 13, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '65.24.0-5.a.2.1', '984.2.0.?', '4920.24.1.?', '63960.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 20787], [3, 4, 13858], [5, 2, 507], [13, 86, 246], [41, 42, 1014]], 'sha': 25, 'sha_primes': [5], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6950792116471457795220077589', 'prec': 100}, 'szpiro_ratio': 6.282256398854433, '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, 2, -1, 1, 1, -2, 1, 0, -2, -1, 1, -7, -1, -5, -1], 'aplist': [-1, 1, -1, 2, -2, 0, -7, -5, -6, 0, -7, 2, -1, 4, 12, -6, -5, 2, -3, 3, -9, 0, -9, -5, 2], 'class_deg': 5, 'class_size': 2, 'conductor': 41574, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '41574.h', 'trace_hash': 1280048452769445363}
• 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': '0.0025925643909937387714556536352', 'prec': 110}, 'conductor': 41574, 'gens': [], 'heights': [], 'lmfdb_label': '41574.h1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.023995398209865829037423429377', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '25.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.59988495524664572593558573443255075790', 'prec': 133}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [3, 0], '5': [2, 1], '7': [0, 0], '11': [0, 0], '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '41574.h1'}
• ec_torsion_growth •

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

  
  
  • id: 2043409
    {'degree': 3, 'field': [-12, 0, -1, 1], 'lmfdb_label': '41574.h1', 'torsion': [2]}
  • id: 2043410
    {'degree': 4, 'field': [61, -16, 16, -1, 1], 'lmfdb_label': '41574.h1', 'torsion': [5]}
  • id: 2043411
    {'degree': 6, 'field': [144, -144, 258, 36, -11, -2, 1], 'lmfdb_label': '41574.h1', 'torsion': [2, 2]}
  • id: 2043412
    {'degree': 8, 'field': [-417504, 57570, 51891, -6902, -1313, 190, -23, -2, 1], 'lmfdb_label': '41574.h1', 'torsion': [3]}
  • id: 2043413
    {'degree': 10, 'field': [-417, 60, -165, 660, -30, -205, 5, 50, -5, -5, 1], 'lmfdb_label': '41574.h1', 'torsion': [5]}
  • id: 2043414
    {'degree': 12, 'field': [-746706, -1236342, 598759, 3967860, 103719, -8226, 112361, -3168, -73, -342, 3, 0, 1], 'lmfdb_label': '41574.h1', 'torsion': [4]}
  • id: 2043415
    {'degree': 12, 'field': [629521, 678375, 396339, 174339, 21361, 18432, 11625, 217, 908, -62, 46, -1, 1], 'lmfdb_label': '41574.h1', 'torsion': [10]}
• 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: 986300
    {'conductor': 41574, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '41574.h1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 986301
    {'conductor': 41574, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '41574.h1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 986302
    {'conductor': 41574, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '41574.h1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 986303
    {'conductor': 41574, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '41574.h1', 'prime': 41, '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: 1941481
    {'adelic_gens': [[9839, 0, 0, 63959], [15991, 34450, 0, 1], [1, 0, 10, 1], [63951, 10, 63950, 11], [31981, 34450, 17225, 44331], [42641, 34450, 6565, 44331], [43057, 2470, 54080, 40041], [35881, 34450, 36725, 44331], [6, 13, 63905, 63841], [1, 10, 0, 1]], 'adelic_image': '63960.48.1.?', 'conductor': 41574, 'lmfdb_label': '41574.h1', 'prime': 0}
  • id: 181947
    {'conductor': 41574, 'elladic_image': '5.12.0.2', 'lmfdb_label': '41574.h1', 'modell_image': '5B.4.2', 'prime': 5}
• lmfdb_iso 41574.h does not appear in ec_padic