Elliptic curve data - 14280.o1

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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': '14280j', 'Clabel': '14280j2', 'Cnumber': 2, 'abc_quality': 1.0097143368729002, 'absD': 45705344973748992000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 14280, 'ainvs': [0, -1, 0, -11568760, -15137966900], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 14280, 'degree': 645120, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7562586557029172356109827941', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [83609231549925663172082, 22317062975463375], 'lmfdb_iso': '14280.o', 'lmfdb_label': '14280.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -11568760, -15137966900], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '476.6.0.?', '14280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.583609670386087271198605002', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1208737401896340353118533494', 'prec': 100}, 'szpiro_ratio': 6.3141517024359315, '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, -1, 0, 1, 0, -1, 0, 1, 0, 2, 0, -6, 0, -1, 0, 1, 0, 4, 0], 'aplist': [0, -1, 1, -1, 2, -6, 1, 4, -6, 6, -4, 2, 2, -4, 6, -14, 6, 2, 12, 0, -2, 10, 0, -4, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 14280, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '14280.o', 'trace_hash': 390136595524261146}
• 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': '0.0040359348800081722534656847145', 'prec': 110}, 'conductor': 14280, 'gens': [[34934265, 158948372290, 77]], 'heights': [{'__RealLiteral__': 0, 'data': '16.583609670386087271198605002', 'prec': 100}], 'lmfdb_label': '14280.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.081862462631469738703241360165', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0727253808105837796472858165207792096', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[-1939, 0, 1]], 'xcoord_integral_points': [-1939]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '14280.o1'}
• ec_torsion_growth •

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

  
  
  • id: 733182
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '14280.o1', 'torsion': [2, 2]}
  • id: 733183
    {'degree': 4, 'field': [120, 0, -19, 0, 1], 'lmfdb_label': '14280.o1', 'torsion': [4]}
  • id: 733186
    {'degree': 8, 'field': [-6627, 0, -1016, 0, 282, 0, 0, 0, 1], 'lmfdb_label': '14280.o1', 'torsion': [6]}
  • id: 733184
    {'degree': 8, 'field': [595, -260, -70, 640, -269, -64, 26, -4, 1], 'lmfdb_label': '14280.o1', 'torsion': [2, 4]}
  • id: 733185
    {'degree': 8, 'field': [202500, 0, -56820, 0, 7141, 0, -158, 0, 1], 'lmfdb_label': '14280.o1', 'torsion': [2, 4]}
  • id: 733187
    {'degree': 16, 'field': [226753106596, 0, -99227246080, 0, 107411073861, 0, 5534554690, 0, 144365851, 0, 2433340, 0, 35931, 0, 290, 0, 1], 'lmfdb_label': '14280.o1', 'torsion': [8]}
  • id: 733188
    {'degree': 16, 'field': [1054098516249, 0, -187760696736, 0, 13022728948, 0, -930062064, 0, 47344590, 0, -1480192, 0, 25764, 0, -240, 0, 1], 'lmfdb_label': '14280.o1', 'torsion': [2, 6]}
• 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: 313024
    {'conductor': 14280, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '14280.o1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 313025
    {'conductor': 14280, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '14280.o1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 313026
    {'conductor': 14280, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '14280.o1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 313027
    {'conductor': 14280, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '14280.o1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 313028
    {'conductor': 14280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '14280.o1', '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: 1758972
    {'adelic_gens': [[14277, 4, 14276, 5], [5356, 8929, 1785, 12496], [1, 2, 2, 5], [5714, 1, 11423, 0], [1, 4, 0, 1], [8401, 4, 2522, 9], [4762, 1, 4759, 0], [1, 0, 4, 1], [2, 1, 7139, 0], [3, 4, 8, 11], [6121, 4, 12242, 9]], 'adelic_image': '14280.12.0.?', 'conductor': 14280, 'lmfdb_label': '14280.o1', 'prime': 0}
  • id: 67570
    {'conductor': 14280, 'elladic_image': '2.3.0.1', 'lmfdb_label': '14280.o1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 636801
    {'lmfdb_iso': '14280.o', 'p': 11, 'prec': 20, 'unit': 14967560812579056796, 'val': 1}
  • id: 636806
    {'lmfdb_iso': '14280.o', 'p': 13, 'prec': 20, 'unit': 230484520455038761460, 'val': 1}
  • id: 636809
    {'lmfdb_iso': '14280.o', 'p': 19, 'prec': 20, 'unit': 147179829681473816077493, 'val': 1}
  • id: 636812
    {'lmfdb_iso': '14280.o', 'p': 23, 'prec': 20, 'unit': 63169949273151016313057367, 'val': 1}
  • id: 636805
    {'lmfdb_iso': '14280.o', 'p': 29, 'prec': 20, 'unit': 5182455667028116547455942102, 'val': 1}
  • id: 636816
    {'lmfdb_iso': '14280.o', 'p': 31, 'prec': 20, 'unit': 15004682964573763924665165748, 'val': 1}
  • id: 636802
    {'lmfdb_iso': '14280.o', 'p': 37, 'prec': 20, 'unit': 485099188346636540680068275914, 'val': 1}
  • id: 636803
    {'lmfdb_iso': '14280.o', 'p': 41, 'prec': 20, 'unit': 1384529266519309508083113763993, 'val': 1}
  • id: 636804
    {'lmfdb_iso': '14280.o', 'p': 43, 'prec': 20, 'unit': 2840728538803495188054534755955, 'val': 1}
  • id: 636814
    {'lmfdb_iso': '14280.o', 'p': 47, 'prec': 20, 'unit': 31759844418391595447811197530191, 'val': 1}
  • id: 636810
    {'lmfdb_iso': '14280.o', 'p': 53, 'prec': 20, 'unit': 116127787763442121824980763218064, 'val': 1}
  • id: 636808
    {'lmfdb_iso': '14280.o', 'p': 59, 'prec': 20, 'unit': 1332295827732759197852811832016311, 'val': 1}
  • id: 636815
    {'lmfdb_iso': '14280.o', 'p': 61, 'prec': 20, 'unit': 6947271018665019610964970933617347, 'val': 1}
  • id: 636800
    {'lmfdb_iso': '14280.o', 'p': 67, 'prec': 20, 'unit': 21475560706741818162800101174748824, 'val': 1}
  • id: 636811
    {'lmfdb_iso': '14280.o', 'p': 73, 'prec': 20, 'unit': 70980043162758122288684794469398514, 'val': 1}
  • id: 636807
    {'lmfdb_iso': '14280.o', 'p': 79, 'prec': 20, 'unit': 288203200830591695826013484469293401, 'val': 1}
  • id: 636813
    {'lmfdb_iso': '14280.o', 'p': 89, 'prec': 20, 'unit': 4317371613289708759240980434523914870, 'val': 1}
  • id: 636799
    {'lmfdb_iso': '14280.o', 'p': 97, 'prec': 20, 'unit': 39838409782974379315111211622137163442, 'val': 1}