Elliptic curve data - 14400.ez8

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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': '14400bo', 'Clabel': '14400bo1', 'Cnumber': 1, 'abc_quality': 0.9968917246282063, 'absD': 6449725440000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 0, 0, 21300, -3674000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 14400, 'degree': 73728, 'elladic_images': ['8.12.0.14', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7154585317133745222982380489', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 129, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [357911, 2160], 'lmfdb_iso': '14400.ez', 'lmfdb_label': '14400.ez8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1, 2], 'min_quad_twist_disc': -120, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.1', '12.48.0.c.2', '24.192.1-24.dh.3.8', '30.24.0.b.1', '40.24.0-40.bb.1.12', '60.96.1.n.4', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67828733967764847482561241836', 'prec': 107}, 'szpiro_ratio': 4.569901211118871, '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, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, 0, 4, 0, 2, 6, 4, 0, -6, 8, 2, 6, -4, 0, 6, 0, 10, -4, 0, -2, 8, -12, -18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 14400, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '14400.ez', 'trace_hash': 2014673994084518628}
• 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': '0.032357253508652661591595834720', 'prec': 107}, 'conductor': 14400, 'gens': [], 'heights': [], 'lmfdb_label': '14400.ez8', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.21149249660091937897136779346', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3838799456147100635418846953789439073', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[110, 0, 1]], 'xcoord_integral_points': [110]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a'}, 'iwp0': 5, 'lmfdb_label': '14400.ez8'}
• ec_torsion_growth •

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

  
  
  • id: 739894
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '14400.ez8', 'torsion': [4]}
  • id: 739893
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '14400.ez8', 'torsion': [2, 2]}
  • id: 739895
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '14400.ez8', 'torsion': [4]}
  • id: 739896
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '14400.ez8', 'torsion': [6]}
  • id: 739897
    {'degree': 4, 'field': [16, 0, -2, 0, 1], 'lmfdb_label': '14400.ez8', 'torsion': [2, 4]}
  • id: 739898
    {'degree': 4, 'field': [34, -4, 5, -2, 1], 'lmfdb_label': '14400.ez8', 'torsion': [2, 6]}
  • id: 739900
    {'degree': 4, 'field': [55, -10, 11, -2, 1], 'lmfdb_label': '14400.ez8', 'torsion': [12]}
  • id: 739899
    {'degree': 4, 'field': [100, 0, 10, 0, 1], 'lmfdb_label': '14400.ez8', 'torsion': [12]}
  • id: 739901
    {'degree': 6, 'field': [-10, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '14400.ez8', 'torsion': [12]}
  • id: 739903
    {'degree': 8, 'field': [-96, 0, 96, 48, -38, -4, 6, -4, 1], 'lmfdb_label': '14400.ez8', 'torsion': [8]}
  • id: 739904
    {'degree': 8, 'field': [16, -16, 28, -40, 36, -20, 7, -2, 1], 'lmfdb_label': '14400.ez8', 'torsion': [2, 8]}
  • id: 739905
    {'degree': 8, 'field': [16, 0, 24, 0, 32, 0, 6, 0, 1], 'lmfdb_label': '14400.ez8', 'torsion': [2, 12]}
  • id: 739902
    {'degree': 8, 'field': [256, 0, 136, 0, 81, 0, 16, 0, 1], 'lmfdb_label': '14400.ez8', 'torsion': [2, 4]}
  • id: 739907
    {'degree': 12, 'field': [16, 0, -56, 0, 60, 0, -10, 0, 0, 0, 4, 0, 1], 'lmfdb_label': '14400.ez8', 'torsion': [2, 12]}
  • id: 739906
    {'degree': 12, 'field': [81, 54, 171, -450, 240, -66, 121, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '14400.ez8', 'torsion': [3, 12]}
  • id: 739912
    {'degree': 16, 'field': [1, -18, 143, -630, 1595, -2292, 2244, -1620, 824, -240, 36, -24, 35, -30, 17, -6, 1], 'lmfdb_label': '14400.ez8', 'torsion': [2, 24]}
  • id: 739909
    {'degree': 16, 'field': [16, -96, 440, -1480, 3578, -6204, 8006, -7920, 6193, -3960, 2134, -992, 408, -140, 40, -8, 1], 'lmfdb_label': '14400.ez8', 'torsion': [2, 8]}
  • id: 739910
    {'degree': 16, 'field': [36, 0, 396, 0, 1137, 0, 288, 0, 160, 0, -68, 0, 12, 0, 4, 0, 1], 'lmfdb_label': '14400.ez8', 'torsion': [2, 12]}
  • id: 739911
    {'degree': 16, 'field': [201, -204, 66, 612, -1016, 460, 602, -900, 625, -340, 46, 116, -80, 0, 20, -8, 1], 'lmfdb_label': '14400.ez8', 'torsion': [24]}
  • id: 739908
    {'degree': 16, 'field': [256, 0, 0, 0, 16, 0, 0, 0, 216, 0, 0, 0, 1, 0, 0, 0, 1], 'lmfdb_label': '14400.ez8', 'torsion': [4, 4]}
  • id: 739913
    {'degree': 18, 'field': [1968300000, 0, 590490000, 0, -21870000, 0, -29637900, 0, -2786400, 0, 237600, 0, 52410, 0, 3240, 0, 90, 0, 1], 'lmfdb_label': '14400.ez8', 'torsion': [18]}
• 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: 316012
    {'conductor': 14400, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '14400.ez8', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 316013
    {'conductor': 14400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '14400.ez8', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 316014
    {'conductor': 14400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '14400.ez8', 'prime': 5, '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: 1759806
    {'adelic_gens': [[111, 92, 100, 91], [1, 12, 12, 25], [1, 24, 0, 1], [97, 24, 96, 25], [1, 0, 24, 1], [104, 57, 79, 46], [15, 106, 14, 11], [97, 24, 102, 7], [8, 99, 45, 14]], 'adelic_image': '120.384.5.?', 'conductor': 14400, 'lmfdb_label': '14400.ez8', 'prime': 0}
  • id: 68258
    {'conductor': 14400, 'elladic_image': '8.12.0.14', 'lmfdb_label': '14400.ez8', 'modell_image': '2B', 'prime': 2}
  • id: 68259
    {'conductor': 14400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '14400.ez8', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 14400.ez does not appear in ec_padic