Elliptic curve data - 1700.a1

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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': '1700b', 'Clabel': '1700b2', 'Cnumber': 2, 'abc_quality': 0.961648299562589, 'absD': 31443200, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1020, 'ainvs': [0, -1, 0, -188, -968], 'analytic_rank': 1, 'bad_primes': [2, 5, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 1700, 'degree': 216, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.20486314546351930431805705908', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-115431760, 4913], 'lmfdb_iso': '1700.a', 'lmfdb_label': '1700.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -188, -968], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '15.8.0-3.a.1.1', '68.2.0.a.1', '204.8.0.?', '1020.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.43161669470426804973671019731', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52547462698212763106022424410', 'prec': 107}, 'szpiro_ratio': 3.683490022257043, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 0, 1, 0, -2, 0, 0, 0, 1, 0, 0, 0, 1, 0, -4, 0], 'aplist': [0, -1, 0, 1, 0, 1, 1, -4, 0, -6, -1, -2, 0, -2, 6, -3, -6, -10, 4, -3, -2, -1, -12, -6, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 1700, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '1700.a', 'trace_hash': 625300098471588457}
• 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': '0.66383192209255194716560345197', 'prec': 103}, 'conductor': 1700, 'gens': [[18, 34, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.43161669470426804973671019731', 'prec': 103}], 'lmfdb_label': '1700.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.64277269691855242019410357492', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4968828420112047089744102369482422934', 'prec': 130}, 'tamagawa_product': 9, 'torsion_generators': [], 'xcoord_integral_points': [18, 41, 86]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 1], '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [4, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1700.a1'}
• ec_torsion_growth •

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

  
  
  • id: 86222
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '1700.a1', 'torsion': [3]}
  • id: 86223
    {'degree': 3, 'field': [-8, 12, -1, 1], 'lmfdb_label': '1700.a1', 'torsion': [2]}
  • id: 86225
    {'degree': 6, 'field': [1, -1, 0, -5, 0, -1, 1], 'lmfdb_label': '1700.a1', 'torsion': [3]}
  • id: 86224
    {'degree': 6, 'field': [17, 0, 47, 0, -1, 0, 1], 'lmfdb_label': '1700.a1', 'torsion': [2, 2]}
  • id: 86226
    {'degree': 6, 'field': [136, 49, -25, 0, 0, -1, 1], 'lmfdb_label': '1700.a1', 'torsion': [6]}
  • id: 86227
    {'degree': 12, 'field': [-16376, 31808, -28668, 14540, -5750, 3008, -2084, 1084, -340, 40, 12, -6, 1], 'lmfdb_label': '1700.a1', 'torsion': [4]}
  • id: 86228
    {'degree': 12, 'field': [1, -1, 1, 10, -5, -1, 26, -1, -5, 10, 1, -1, 1], 'lmfdb_label': '1700.a1', 'torsion': [3, 3]}
  • id: 86229
    {'degree': 12, 'field': [4096, -2048, 7424, 1280, 4160, 2112, 1284, 528, 260, 20, 29, -2, 1], 'lmfdb_label': '1700.a1', 'torsion': [2, 6]}
  • id: 86231
    {'degree': 18, 'field': [-64, 0, 0, -64, 0, 0, -860, 0, 0, -560, 0, 0, 0, 0, 0, -24, 0, 0, 1], 'lmfdb_label': '1700.a1', 'torsion': [6]}
  • id: 86230
    {'degree': 18, 'field': [81949779, -122272092, 57274695, -8628588, 19452735, -2362932, 4227436, -2047140, 852444, -488920, 135315, -55080, 15605, -3060, 1215, -68, 54, 0, 1], 'lmfdb_label': '1700.a1', 'torsion': [9]}
• 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: 27058
    {'conductor': 1700, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '1700.a1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 27059
    {'conductor': 1700, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '1700.a1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 27060
    {'conductor': 1700, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1700.a1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1675161
    {'adelic_gens': [[4, 3, 9, 7], [1015, 6, 1014, 7], [511, 6, 513, 19], [938, 87, 775, 7], [411, 2, 10, 7], [1, 6, 0, 1], [241, 6, 723, 19], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '1020.16.0.?', 'conductor': 1700, 'lmfdb_label': '1700.a1', 'prime': 0}
  • id: 8338
    {'conductor': 1700, 'elladic_image': '3.4.0.1', 'lmfdb_label': '1700.a1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 46873
    {'lmfdb_iso': '1700.a', 'p': 7, 'prec': 20, 'unit': 16610376264350838, 'val': -1}
  • id: 46877
    {'lmfdb_iso': '1700.a', 'p': 13, 'prec': 20, 'unit': 18460567754415274888065, 'val': -1}
  • id: 46880
    {'lmfdb_iso': '1700.a', 'p': 19, 'prec': 20, 'unit': 21773898698070635463569, 'val': 1}
  • id: 46876
    {'lmfdb_iso': '1700.a', 'p': 29, 'prec': 20, 'unit': 4629523852507424573720792903, 'val': 1}
  • id: 46886
    {'lmfdb_iso': '1700.a', 'p': 31, 'prec': 20, 'unit': 8627936963140691573360643789, 'val': 1}
  • id: 46872
    {'lmfdb_iso': '1700.a', 'p': 37, 'prec': 20, 'unit': 593495590154739026124975614707, 'val': 1}
  • id: 46875
    {'lmfdb_iso': '1700.a', 'p': 43, 'prec': 20, 'unit': 1006706904102178701835075329635, 'val': 1}
  • id: 46884
    {'lmfdb_iso': '1700.a', 'p': 47, 'prec': 20, 'unit': 21154734561340124148369594295923, 'val': 1}
  • id: 46881
    {'lmfdb_iso': '1700.a', 'p': 53, 'prec': 20, 'unit': 460632818825082401998752413350516, 'val': 1}
  • id: 46879
    {'lmfdb_iso': '1700.a', 'p': 59, 'prec': 20, 'unit': 1159625730008246556484458219752377, 'val': 1}
  • id: 46885
    {'lmfdb_iso': '1700.a', 'p': 61, 'prec': 20, 'unit': 6506729366829385842818802178359923, 'val': 1}
  • id: 46871
    {'lmfdb_iso': '1700.a', 'p': 67, 'prec': 20, 'unit': 32781342181419429369600591301976608, 'val': 1}
  • id: 46883
    {'lmfdb_iso': '1700.a', 'p': 71, 'prec': 20, 'unit': 46233506519698686313885497667502972, 'val': 1}
  • id: 46874
    {'lmfdb_iso': '1700.a', 'p': 73, 'prec': 20, 'unit': 234867167666602102029649385091550801, 'val': 1}
  • id: 46878
    {'lmfdb_iso': '1700.a', 'p': 79, 'prec': 20, 'unit': 37976185679750568754202285348511053, 'val': 1}
  • id: 46870
    {'lmfdb_iso': '1700.a', 'p': 83, 'prec': 20, 'unit': 972801253156484782285672742088771001, 'val': 1}
  • id: 46882
    {'lmfdb_iso': '1700.a', 'p': 89, 'prec': 20, 'unit': 10294422250365670077752479678732197861, 'val': 1}
  • id: 46869
    {'lmfdb_iso': '1700.a', 'p': 97, 'prec': 20, 'unit': 25238322289271417348309618074429421582, 'val': 1}