Elliptic curve data - 1760.h1

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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': '1760f', 'Clabel': '1760f3', 'Cnumber': 3, 'abc_quality': 0.9520297960498425, 'absD': 28160, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 0, 0, -587, 5474], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1760, 'degree': 256, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.13257570937720667125740246475', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [43688592648, 55], 'lmfdb_iso': '1760.h', 'lmfdb_label': '1760.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -587, -5474], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '40.24.0-40.y.1.5', '44.12.0-4.c.1.1', '88.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7550277045615345386140052991', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 55], [5, 6, 352], [11, 12, 160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.38728467604275231080552162634', 'prec': 107}, 'szpiro_ratio': 4.113260178664031, '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, 1, 0, 0, 0, -3, 0, 1, 0, -2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, 1, 0, 1, -2, -2, -4, 0, -6, 4, -10, -6, 4, -8, 6, 12, 2, 8, -12, -2, -8, -12, -6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 1760, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '1760.h', 'trace_hash': 1930964234717920034}
• 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': '0.76708978940119855287920676535', 'prec': 103}, 'conductor': 1760, 'gens': [[50, 318, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.7550277045615345386140052991', 'prec': 100}], 'lmfdb_label': '1760.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '3.1634875609549539007956618583', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9697458586054120303706407311446928016', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [[14, 0, 1]], 'xcoord_integral_points': [14, 50]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [5, 1, 0], '5': [2, 0], '7': [3, 1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1760.h1'}
• ec_torsion_growth •

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

  
  
  • id: 89278
    {'degree': 2, 'field': [-110, 0, 1], 'lmfdb_label': '1760.h1', 'torsion': [2, 2]}
  • id: 89279
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '1760.h1', 'torsion': [4]}
  • id: 89280
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '1760.h1', 'torsion': [4]}
  • id: 89281
    {'degree': 4, 'field': [1, 0, -42, 0, 1], 'lmfdb_label': '1760.h1', 'torsion': [2, 4]}
  • id: 89282
    {'degree': 4, 'field': [110, 0, -22, 0, 1], 'lmfdb_label': '1760.h1', 'torsion': [8]}
  • id: 89286
    {'degree': 8, 'field': [-3, 0, -168, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '1760.h1', 'torsion': [6]}
  • id: 89285
    {'degree': 8, 'field': [100, 0, -920, 0, 1744, 0, -84, 0, 1], 'lmfdb_label': '1760.h1', 'torsion': [2, 8]}
  • id: 89283
    {'degree': 8, 'field': [11411, -3628, 3462, 320, -129, -40, 18, -4, 1], 'lmfdb_label': '1760.h1', 'torsion': [2, 4]}
  • id: 89284
    {'degree': 8, 'field': [17161, 0, -4876, 0, 586, 0, -36, 0, 1], 'lmfdb_label': '1760.h1', 'torsion': [8]}
  • id: 89291
    {'degree': 16, 'field': [-687500, 550000, 2420000, 990000, -220000, 77000, -56000, -51000, 25900, -600, -200, -320, 20, 60, -16, -4, 1], 'lmfdb_label': '1760.h1', 'torsion': [12]}
  • id: 89292
    {'degree': 16, 'field': [13689, 0, -313632, 0, -939060, 0, -500544, 0, 114990, 0, -1056, 0, -612, 0, 0, 0, 1], 'lmfdb_label': '1760.h1', 'torsion': [12]}
  • id: 89288
    {'degree': 16, 'field': [470596, 0, -470832, 0, 182088, 0, -23904, 0, 2880, 0, -184, 0, 148, 0, 8, 0, 1], 'lmfdb_label': '1760.h1', 'torsion': [2, 8]}
  • id: 89287
    {'degree': 16, 'field': [130210921, 0, -65847380, 0, 11363326, 0, 875040, 0, 160671, 0, -3240, 0, -254, 0, -20, 0, 1], 'lmfdb_label': '1760.h1', 'torsion': [4, 4]}
  • id: 89289
    {'degree': 16, 'field': [146410000, 0, -117128000, 0, 38332800, 0, -7066400, 0, 829400, 0, -64240, 0, 3168, 0, -88, 0, 1], 'lmfdb_label': '1760.h1', 'torsion': [16]}
  • id: 89290
    {'degree': 16, 'field': [564680169, 0, -1587412512, 0, 57626460, 0, -14301504, 0, 332670, 0, 18144, 0, -1332, 0, 0, 0, 1], 'lmfdb_label': '1760.h1', '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: 28204
    {'conductor': 1760, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '1760.h1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 28205
    {'conductor': 1760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1760.h1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 28206
    {'conductor': 1760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1760.h1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1675542
    {'adelic_gens': [[268, 1, 111, 6], [1, 0, 8, 1], [368, 3, 285, 2], [433, 8, 432, 9], [1, 8, 0, 1], [1, 4, 4, 17], [272, 47, 63, 76], [7, 6, 434, 435], [168, 393, 267, 254]], 'adelic_image': '440.48.0.?', 'conductor': 1760, 'lmfdb_label': '1760.h1', 'prime': 0}
  • id: 8639
    {'conductor': 1760, 'elladic_image': '8.12.0.6', 'lmfdb_label': '1760.h1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 49304
    {'lmfdb_iso': '1760.h', 'p': 13, 'prec': 20, 'unit': 752894860832279903472, 'val': 1}
  • id: 49306
    {'lmfdb_iso': '1760.h', 'p': 17, 'prec': 20, 'unit': 25367767045538751206055, 'val': 1}
  • id: 49307
    {'lmfdb_iso': '1760.h', 'p': 19, 'prec': 20, 'unit': 1557773834516384082861376, 'val': 1}
  • id: 49303
    {'lmfdb_iso': '1760.h', 'p': 29, 'prec': 20, 'unit': 112677338651968905826606904, 'val': 1}
  • id: 49314
    {'lmfdb_iso': '1760.h', 'p': 31, 'prec': 20, 'unit': 11808118337420605393557136444, 'val': 1}
  • id: 49299
    {'lmfdb_iso': '1760.h', 'p': 37, 'prec': 20, 'unit': 558552542904136136874028682588, 'val': 1}
  • id: 49301
    {'lmfdb_iso': '1760.h', 'p': 41, 'prec': 20, 'unit': 3686065441833210053029755558100, 'val': 1}
  • id: 49302
    {'lmfdb_iso': '1760.h', 'p': 43, 'prec': 20, 'unit': 231013033923845966002819457344, 'val': 1}
  • id: 49312
    {'lmfdb_iso': '1760.h', 'p': 47, 'prec': 20, 'unit': 15313396821048937862921349733283, 'val': 1}
  • id: 49308
    {'lmfdb_iso': '1760.h', 'p': 53, 'prec': 20, 'unit': 380051464640960218460523209142538, 'val': 1}
  • id: 49309
    {'lmfdb_iso': '1760.h', 'p': 59, 'prec': 20, 'unit': 1909953407625263168075073706647038, 'val': 1}
  • id: 49313
    {'lmfdb_iso': '1760.h', 'p': 61, 'prec': 20, 'unit': 361721248939538851520337871970529, 'val': 1}
  • id: 49298
    {'lmfdb_iso': '1760.h', 'p': 67, 'prec': 20, 'unit': 34143858675605984512526523214564057, 'val': 1}
  • id: 49300
    {'lmfdb_iso': '1760.h', 'p': 71, 'prec': 20, 'unit': 139474553296541349567184354541941241, 'val': 1}
  • id: 49310
    {'lmfdb_iso': '1760.h', 'p': 73, 'prec': 20, 'unit': 105780127180466077270668138926311662, 'val': 1}
  • id: 49305
    {'lmfdb_iso': '1760.h', 'p': 79, 'prec': 20, 'unit': 342617701738394056529769604688401862, 'val': 1}
  • id: 49297
    {'lmfdb_iso': '1760.h', 'p': 83, 'prec': 20, 'unit': 1913908206941502312949583920360614737, 'val': 1}
  • id: 49311
    {'lmfdb_iso': '1760.h', 'p': 89, 'prec': 20, 'unit': 9487549027690217086080777180962728688, 'val': 1}
  • id: 49296
    {'lmfdb_iso': '1760.h', 'p': 97, 'prec': 20, 'unit': 29958351227721726022076236199059273165, 'val': 1}