Elliptic curve data - 11424.d4

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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': '11424n', 'Clabel': '11424n4', 'Cnumber': 4, 'abc_quality': 1.0143831157402887, 'absD': 55297824783054336, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, -1, 0, 44016, -10755756], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 11424, 'degree': 73728, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8945669173675572217252172319', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [18419405270942584, 108003564029403], 'lmfdb_iso': '11424.d', 'lmfdb_label': '11424.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 44016, -10755756], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.v.1.2', '56.24.0-56.ba.1.4', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.9116392242265308575012780873', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3], [3, 4, 544], [7, 8, 1632], [17, 18, 672]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3747065319475982396622931408', 'prec': 100}, 'szpiro_ratio': 4.9127690699014765, '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, -4, 0], 'aplist': [0, -1, -2, 1, -4, 2, -1, -4, 4, -2, 8, -2, -2, 8, 0, 6, 4, 2, -8, 4, -6, 0, -4, 6, 10], '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.d', 'trace_hash': 2285184965382100644}
• 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': '0.022615181855120019179079718819', 'prec': 107}, 'conductor': 11424, 'gens': [[8909, 844025, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '5.9116392242265308575012780873', 'prec': 100}], 'lmfdb_label': '11424.d4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.17697127889810083113647012092', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1385710616866374840457256546201299227', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[500, 11662, 1]], 'xcoord_integral_points': [157, 500]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [6, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '11424.d4'}
• ec_torsion_growth •

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

  
  
  • id: 590935
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '11424.d4', 'torsion': [2, 4]}
  • id: 590936
    {'degree': 4, 'field': [-1734, 0, 34, 0, 1], 'lmfdb_label': '11424.d4', 'torsion': [8]}
  • id: 590940
    {'degree': 8, 'field': [-234, -12, 124, -40, -12, 4, 6, -4, 1], 'lmfdb_label': '11424.d4', 'torsion': [12]}
  • id: 590939
    {'degree': 8, 'field': [742, -728, 1040, -656, 409, -100, 38, -4, 1], 'lmfdb_label': '11424.d4', 'torsion': [2, 8]}
  • id: 590937
    {'degree': 8, 'field': [3003289, 0, 20812, 0, -3462, 0, 4, 0, 1], 'lmfdb_label': '11424.d4', 'torsion': [4, 4]}
  • id: 590938
    {'degree': 8, 'field': [3617604, 0, 19224, 0, -1688, 0, 92, 0, 1], 'lmfdb_label': '11424.d4', 'torsion': [2, 8]}
  • id: 590942
    {'degree': 16, 'field': [11872, -2304, 7680, -7872, 6336, -288, 2784, -1728, 832, 0, 312, -96, 36, 0, 12, 0, 1], 'lmfdb_label': '11424.d4', 'torsion': [2, 12]}
  • id: 590941
    {'degree': 16, 'field': [732272121441, 0, -186521101704, 0, 49296472092, 0, -3664704960, 0, 87731730, 0, 853128, 0, -48892, 0, 272, 0, 1], 'lmfdb_label': '11424.d4', '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: 245052
    {'conductor': 11424, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '11424.d4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 245053
    {'conductor': 11424, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '11424.d4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 245054
    {'conductor': 11424, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '11424.d4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 245055
    {'conductor': 11424, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '11424.d4', 'prime': 17, 'reduction_type': -1, '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: 1739689
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [64, 3, 61, 2], [7, 6, 162, 163], [64, 155, 25, 54], [161, 8, 160, 9], [113, 108, 110, 23], [73, 8, 124, 33], [1, 4, 4, 17]], 'adelic_image': '168.48.0.?', 'conductor': 11424, 'lmfdb_label': '11424.d4', 'prime': 0}
  • id: 54755
    {'conductor': 11424, 'elladic_image': '4.12.0.7', 'lmfdb_label': '11424.d4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 493801
    {'lmfdb_iso': '11424.d', 'p': 5, 'prec': 20, 'unit': 10747611179528, 'val': 1}
  • id: 493808
    {'lmfdb_iso': '11424.d', 'p': 11, 'prec': 20, 'unit': 8790346724211184350, 'val': 1}
  • id: 493806
    {'lmfdb_iso': '11424.d', 'p': 13, 'prec': 20, 'unit': 1133088861709826524442, 'val': 1}
  • id: 493809
    {'lmfdb_iso': '11424.d', 'p': 19, 'prec': 20, 'unit': 1331906548278727095334195, 'val': 1}
  • id: 493812
    {'lmfdb_iso': '11424.d', 'p': 23, 'prec': 20, 'unit': 54098444963438324372901781, 'val': 1}
  • id: 493807
    {'lmfdb_iso': '11424.d', 'p': 29, 'prec': 20, 'unit': 451331153518234614810404447, 'val': 1}
  • id: 493803
    {'lmfdb_iso': '11424.d', 'p': 31, 'prec': 20, 'unit': 9372439122699701561470096059, 'val': 1}
  • id: 493816
    {'lmfdb_iso': '11424.d', 'p': 37, 'prec': 20, 'unit': 394380286712435046948780219802, 'val': 1}
  • id: 493804
    {'lmfdb_iso': '11424.d', 'p': 41, 'prec': 20, 'unit': 2778833441272962003274571168145, 'val': 1}
  • id: 493805
    {'lmfdb_iso': '11424.d', 'p': 43, 'prec': 20, 'unit': 8968776483713643527059356870160, 'val': 1}
  • id: 493810
    {'lmfdb_iso': '11424.d', 'p': 53, 'prec': 20, 'unit': 438564044042215793587791768988688, 'val': 1}
  • id: 493814
    {'lmfdb_iso': '11424.d', 'p': 59, 'prec': 20, 'unit': 4136810748860968052043696678242457, 'val': 1}
  • id: 493815
    {'lmfdb_iso': '11424.d', 'p': 61, 'prec': 20, 'unit': 8259601921150503138914943012468795, 'val': 1}
  • id: 493800
    {'lmfdb_iso': '11424.d', 'p': 67, 'prec': 20, 'unit': 35007840913243754640430155245222358, 'val': 1}
  • id: 493802
    {'lmfdb_iso': '11424.d', 'p': 71, 'prec': 20, 'unit': 17693352093455851715993946553090218, 'val': 1}
  • id: 493811
    {'lmfdb_iso': '11424.d', 'p': 73, 'prec': 20, 'unit': 15489308408399866766690753814799950, 'val': 1}
  • id: 493799
    {'lmfdb_iso': '11424.d', 'p': 83, 'prec': 20, 'unit': 2503546460010572739041011759560432690, 'val': 1}
  • id: 493813
    {'lmfdb_iso': '11424.d', 'p': 89, 'prec': 20, 'unit': 6717759231340458309388509513980019837, 'val': 1}
  • id: 493798
    {'lmfdb_iso': '11424.d', 'p': 97, 'prec': 20, 'unit': 45949838589213175401975191943941455958, 'val': 1}