Elliptic curve data - 14400.ck4

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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': '14400ds', 'Clabel': '14400ds2', 'Cnumber': 2, 'abc_quality': 0.972547111469975, 'absD': 1679616000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 120, 'ainvs': [0, 0, 0, -3900, 70000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 14400, 'degree': 16384, 'elladic_images': ['8.48.0.138'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0552464047512204150476076690', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4], 'jinv': [35152, 9], 'lmfdb_iso': '14400.ck', 'lmfdb_label': '14400.ck4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4, 4], 'min_quad_twist_disc': 120, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.h.1', '12.24.0.c.1', '24.96.1.bu.1', '40.96.0-8.h.1.8', '120.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4208323441086233158864925455', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 1600], [5, 14, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1074504064531541456038320911', 'prec': 103}, 'szpiro_ratio': 3.8036408714423264, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 0, 0, -4, -2, 2, -4, 8, 6, -8, 6, 6, -4, 0, 2, -4, 2, 4, 8, -10, 8, -4, 6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 14400, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '14400.ck', 'trace_hash': 1531840609936964569}
• 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': '0.12117823393104796268541644448', 'prec': 103}, 'conductor': 14400, 'gens': [[5, 225, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4208323441086233158864925455', 'prec': 100}], 'lmfdb_label': '14400.ck4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.78744817716560925183917301081', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4753273577051004062849648796327154222', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[20, 0, 1], [50, 0, 1]], 'xcoord_integral_points': [-70, -30, 5, 20, 50, 74, 200]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 1, 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': '14400.ck4'}
• ec_torsion_growth •

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

  
  
  • id: 741574
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '14400.ck4', 'torsion': [2, 4]}
  • id: 741575
    {'degree': 4, 'field': [25, 0, 20, 0, 1], 'lmfdb_label': '14400.ck4', 'torsion': [2, 4]}
  • id: 741576
    {'degree': 4, 'field': [100, 0, 10, 0, 1], 'lmfdb_label': '14400.ck4', 'torsion': [2, 4]}
  • id: 741581
    {'degree': 8, 'field': [-1875, 0, 750, 0, 450, 0, 20, 0, 1], 'lmfdb_label': '14400.ck4', 'torsion': [2, 6]}
  • id: 741579
    {'degree': 8, 'field': [1, 0, -12, 0, 23, 0, -12, 0, 1], 'lmfdb_label': '14400.ck4', 'torsion': [2, 8]}
  • id: 741580
    {'degree': 8, 'field': [256, 0, 0, 0, 17, 0, 0, 0, 1], 'lmfdb_label': '14400.ck4', 'torsion': [2, 8]}
  • id: 741578
    {'degree': 8, 'field': [529, 184, 146, -128, 100, -28, 14, -4, 1], 'lmfdb_label': '14400.ck4', 'torsion': [2, 8]}
  • id: 741577
    {'degree': 8, 'field': [625, 0, 0, 0, -25, 0, 0, 0, 1], 'lmfdb_label': '14400.ck4', 'torsion': [4, 4]}
  • id: 741584
    {'degree': 16, 'field': [1, 0, 0, 0, -7, 0, 0, 0, 48, 0, 0, 0, -7, 0, 0, 0, 1], 'lmfdb_label': '14400.ck4', 'torsion': [4, 8]}
  • id: 741582
    {'degree': 16, 'field': [441, 0, 1548, 0, -534, 0, -3408, 0, 3715, 0, -1552, 0, 306, 0, -28, 0, 1], 'lmfdb_label': '14400.ck4', 'torsion': [2, 8]}
  • id: 741583
    {'degree': 16, 'field': [52036, 9472, 39432, 93968, 16584, -61752, -33800, 13160, 13860, -608, -2684, -144, 264, 28, -12, -4, 1], 'lmfdb_label': '14400.ck4', 'torsion': [4, 8]}
  • id: 741585
    {'degree': 16, 'field': [3515625, 0, 1406250, 0, 562500, 0, -56250, 0, -56250, 0, -11250, 0, -500, 0, 10, 0, 1], 'lmfdb_label': '14400.ck4', 'torsion': [2, 12]}
• 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: 316447
    {'conductor': 14400, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '14400.ck4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 316448
    {'conductor': 14400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '14400.ck4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 316449
    {'conductor': 14400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '14400.ck4', '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: 1759659
    {'adelic_gens': [[49, 70, 90, 29], [79, 0, 80, 19], [113, 8, 112, 9], [1, 0, 8, 1], [5, 4, 116, 117], [19, 40, 50, 69], [23, 0, 0, 119], [1, 8, 0, 1]], 'adelic_image': '120.192.1.?', 'conductor': 14400, 'lmfdb_label': '14400.ck4', 'prime': 0}
  • id: 68075
    {'conductor': 14400, 'elladic_image': '8.48.0.138', 'lmfdb_label': '14400.ck4', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 642712
    {'lmfdb_iso': '14400.ck', 'p': 11, 'prec': 20, 'unit': 5015157613907580004, 'val': 1}
  • id: 642710
    {'lmfdb_iso': '14400.ck', 'p': 13, 'prec': 20, 'unit': 349239253984665538938, 'val': 1}
  • id: 642713
    {'lmfdb_iso': '14400.ck', 'p': 17, 'prec': 20, 'unit': 622177569621642996334, 'val': 1}
  • id: 642714
    {'lmfdb_iso': '14400.ck', 'p': 19, 'prec': 20, 'unit': 1512077561441068853860368, 'val': 1}
  • id: 642717
    {'lmfdb_iso': '14400.ck', 'p': 23, 'prec': 20, 'unit': 9470551953950739561402248, 'val': 1}
  • id: 642709
    {'lmfdb_iso': '14400.ck', 'p': 29, 'prec': 20, 'unit': 3854738411275821907916633271, 'val': 1}
  • id: 642721
    {'lmfdb_iso': '14400.ck', 'p': 31, 'prec': 20, 'unit': 7886511027622233875880474424, 'val': 1}
  • id: 642705
    {'lmfdb_iso': '14400.ck', 'p': 37, 'prec': 20, 'unit': 597743520491885638605752625890, 'val': 1}
  • id: 642707
    {'lmfdb_iso': '14400.ck', 'p': 41, 'prec': 20, 'unit': 3610365695436129668523375344718, 'val': 1}
  • id: 642708
    {'lmfdb_iso': '14400.ck', 'p': 43, 'prec': 20, 'unit': 910881875880674778709433466860, 'val': 1}
  • id: 642715
    {'lmfdb_iso': '14400.ck', 'p': 53, 'prec': 20, 'unit': 277148353735906700478759240371680, 'val': 1}
  • id: 642719
    {'lmfdb_iso': '14400.ck', 'p': 59, 'prec': 20, 'unit': 3535371340380023785919833095435324, 'val': 1}
  • id: 642720
    {'lmfdb_iso': '14400.ck', 'p': 61, 'prec': 20, 'unit': 762639098288717882247439817354383, 'val': 1}
  • id: 642704
    {'lmfdb_iso': '14400.ck', 'p': 67, 'prec': 20, 'unit': 12042312691046912310141669192597769, 'val': 1}
  • id: 642706
    {'lmfdb_iso': '14400.ck', 'p': 71, 'prec': 20, 'unit': 61320664220562735281812746371609581, 'val': 1}
  • id: 642716
    {'lmfdb_iso': '14400.ck', 'p': 73, 'prec': 20, 'unit': 156599796990236460325120814673235956, 'val': 1}
  • id: 642711
    {'lmfdb_iso': '14400.ck', 'p': 79, 'prec': 20, 'unit': 423220040813602522665383967728927728, 'val': 1}
  • id: 642703
    {'lmfdb_iso': '14400.ck', 'p': 83, 'prec': 20, 'unit': 48295283876213573475425430154814877, 'val': 1}
  • id: 642718
    {'lmfdb_iso': '14400.ck', 'p': 89, 'prec': 20, 'unit': 3458877686525971712743863743309255331, 'val': 1}
  • id: 642702
    {'lmfdb_iso': '14400.ck', 'p': 97, 'prec': 20, 'unit': 1048007257948014116499294136250735521, 'val': 1}