Elliptic curve data - 11424.h4

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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': '11424q', 'Clabel': '11424q4', 'Cnumber': 4, 'abc_quality': 1.081861000263372, 'absD': 32514584481792, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 136, 'ainvs': [0, -1, 0, 4143, -255807], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 11424, 'degree': 28672, 'elladic_images': ['8.24.0.50'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2753414759047895849355265842', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [1919569026752, 7938130977], 'lmfdb_iso': '11424.h', 'lmfdb_label': '11424.h4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 4143, -255807], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.p.1.1', '68.24.0-68.h.1.2', '136.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58219429534484427551829446274', 'prec': 103}, 'szpiro_ratio': 4.111606266893599, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, 2, 0, 1, 0, 1, 0, -4, 0, -2, 0, -2, 0, 1, 0, -8, 0], 'aplist': [0, -1, 2, 1, -4, -2, 1, -8, 0, 2, -8, 2, -6, 8, -8, 6, 0, 2, 8, -16, 2, 16, 16, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 11424, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '11424.h', 'trace_hash': 1840073271870474860}
• 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': '0.078028358191467253065071096982', 'prec': 107}, 'conductor': 11424, 'gens': [], 'heights': [], 'lmfdb_label': '11424.h4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.33264105516654847353841816933', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3305642206661938941536726773135799859', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[141, 1764, 1]], 'xcoord_integral_points': [43, 141]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '7': [1, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '11424.h4'}
• ec_torsion_growth •

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

  
  
  • id: 591000
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '11424.h4', 'torsion': [2, 4]}
  • id: 591001
    {'degree': 4, 'field': [-17, 0, 2, 0, 1], 'lmfdb_label': '11424.h4', 'torsion': [8]}
  • id: 591005
    {'degree': 8, 'field': [-19683, 0, -8280, 0, -486, 0, 0, 0, 1], 'lmfdb_label': '11424.h4', 'torsion': [12]}
  • id: 591002
    {'degree': 8, 'field': [324, 0, -200, 0, 40, 0, 4, 0, 1], 'lmfdb_label': '11424.h4', 'torsion': [4, 4]}
  • id: 591004
    {'degree': 8, 'field': [676, 0, 440, 0, 56, 0, -4, 0, 1], 'lmfdb_label': '11424.h4', 'torsion': [2, 8]}
  • id: 591003
    {'degree': 8, 'field': [31361, -1996, -3328, -524, 432, 4, -8, -4, 1], 'lmfdb_label': '11424.h4', 'torsion': [2, 8]}
  • id: 591007
    {'degree': 16, 'field': [5239744377, -816653604, 6997434136, -191891648, 71131132, 62986732, 13730416, -9222680, 1615106, 310172, -41512, -8000, 2620, -308, 64, -8, 1], 'lmfdb_label': '11424.h4', 'torsion': [2, 12]}
  • id: 591006
    {'degree': 16, 'field': [110999171871, -167260115736, 145619761296, -63311530056, 15974864584, -4778467656, 1800277008, -271244872, -24938014, 10700696, -469384, -209560, 24648, 1224, -376, -8, 1], 'lmfdb_label': '11424.h4', 'torsion': [16]}
• 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: 245080
    {'conductor': 11424, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '11424.h4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 245081
    {'conductor': 11424, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '11424.h4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 245082
    {'conductor': 11424, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '11424.h4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 245083
    {'conductor': 11424, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11424.h4', 'prime': 17, '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: 1739699
    {'adelic_gens': [[24, 3, 117, 2], [48, 111, 23, 112], [59, 54, 90, 19], [1, 0, 8, 1], [1, 4, 4, 17], [7, 6, 130, 131], [129, 8, 128, 9], [1, 8, 0, 1]], 'adelic_image': '136.48.0.?', 'conductor': 11424, 'lmfdb_label': '11424.h4', 'prime': 0}
  • id: 54763
    {'conductor': 11424, 'elladic_image': '8.24.0.50', 'lmfdb_label': '11424.h4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 11424.h does not appear in ec_padic