Elliptic curve data - 27797.d3

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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': '27797d', 'Clabel': '27797d3', 'Cnumber': 3, 'abc_quality': 1.0659265883154396, 'absD': 5435654597275527779, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 26334, 'ainvs': [0, -1, 1, 159081, 109428108], 'analytic_rank': 1, 'bad_primes': [7, 11, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 27797, 'degree': 427680, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2758321088659257849246778997', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3, 9], 'jinv': [9463555063808, 115539436859], 'lmfdb_iso': '27797.d', 'lmfdb_label': '27797.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 441, -15815], 'min_quad_twist_disc': -19, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '22.2.0.a.1', '57.8.0-3.a.1.2', '63.36.0.e.2', '66.8.0.a.1', '171.24.0.?', '198.24.1.?', '1197.72.0.?', '1254.16.0.?', '1386.72.3.?', '3762.48.1.?', '26334.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2444214560583493831023000332', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3971], [3, 2, 2527], [7, 8, 3971], [11, 12, 2527], [19, 182, 77]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80361261928270555492016418376', 'prec': 103}, 'szpiro_ratio': 4.939630132330655, '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, -2, 3, 0, 1, 0, -2, 0, -1, 2, 4, 0, -3, 4, -6, 0, 0, -6], 'aplist': [0, -1, 3, 1, -1, 4, -6, 0, 3, 6, -5, -11, -6, 8, 0, 6, 9, -10, -5, -9, 2, 10, 12, 3, 1], 'class_deg': 9, 'class_size': 3, 'conductor': 27797, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '27797.d', 'trace_hash': 666473588642338748}
• 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': '0.010549632880400289563808116852', 'prec': 107}, 'conductor': 27797, 'gens': [[14214, 2447337, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '6.2444214560583493831023000332', 'prec': 100}], 'lmfdb_label': '27797.d3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.17813087268538414952531966276', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4492969735320437897235393192211159654', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 5, 0], '3': [1, 0], '5': [1, 0], '7': [2, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '27797.d3'}
• ec_torsion_growth •

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

  
  
  • id: 1390212
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '27797.d3', 'torsion': [3]}
  • id: 1390213
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '27797.d3', 'torsion': [2]}
  • id: 1390217
    {'degree': 6, 'field': [-3134, -312, 604, 25, -41, -1, 1], 'lmfdb_label': '27797.d3', 'torsion': [6]}
  • id: 1390214
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '27797.d3', 'torsion': [2, 2]}
  • id: 1390215
    {'degree': 6, 'field': [272, -264, 69, -17, 18, -3, 1], 'lmfdb_label': '27797.d3', 'torsion': [3]}
  • id: 1390216
    {'degree': 6, 'field': [1603, -2583, 1029, 97, -81, -3, 1], 'lmfdb_label': '27797.d3', 'torsion': [9]}
  • id: 1390218
    {'degree': 12, 'field': [-29291339, 23689314, -10179072, 7382194, -3256869, 241788, 145248, -22836, 999, -6, 16, -6, 1], 'lmfdb_label': '27797.d3', 'torsion': [4]}
  • id: 1390220
    {'degree': 12, 'field': [27661, -47937, 48075, -31940, 20100, -10422, 4835, -1716, 645, -160, 45, -6, 1], 'lmfdb_label': '27797.d3', 'torsion': [9]}
  • id: 1390219
    {'degree': 12, 'field': [73984, -71808, 50928, -8968, -4623, 7515, -1201, -156, 204, -20, -9, -3, 1], 'lmfdb_label': '27797.d3', 'torsion': [3, 3]}
  • id: 1390221
    {'degree': 12, 'field': [10138549, 2058558, -3592923, -724816, 552646, 102706, -47803, -7388, 2498, 270, -75, -4, 1], 'lmfdb_label': '27797.d3', 'torsion': [2, 6]}
  • id: 1390222
    {'degree': 18, 'field': [20649244, -44362164, 49238196, -26727308, 13278228, -4006074, 1550435, -637215, 118833, -112118, 60927, -22455, 12584, -1677, 1005, -94, 51, -3, 1], 'lmfdb_label': '27797.d3', 'torsion': [6]}
  • id: 1390223
    {'degree': 18, 'field': [6276693781, -18977958327, 29122850898, -27838060754, 16577014821, -4937035833, -507431160, 941961393, -214280256, -47732163, 23299086, 1022673, -1088686, -24687, 23739, 446, -246, -3, 1], 'lmfdb_label': '27797.d3', '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: 641720
    {'conductor': 27797, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '27797.d3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 641721
    {'conductor': 27797, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '27797.d3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 641722
    {'conductor': 27797, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '27797.d3', 'prime': 19, 'reduction_type': 0, '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: 1849282
    {'adelic_gens': [[1, 18, 0, 1], [26317, 18, 26316, 19], [1, 18, 10, 181], [10, 9, 81, 73], [1385, 0, 0, 26333], [19666, 12483, 25821, 13852], [1, 0, 18, 1], [1, 24966, 0, 2927], [8323, 24966, 16416, 8779]], 'adelic_image': '26334.144.3.?', 'conductor': 27797, 'lmfdb_label': '27797.d3', 'prime': 0}
  • id: 125538
    {'conductor': 27797, 'elladic_image': '9.12.0.1', 'lmfdb_label': '27797.d3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1331908
    {'lmfdb_iso': '27797.d', 'p': 5, 'prec': 20, 'unit': 126693687951, 'val': 1}
  • id: 1331914
    {'lmfdb_iso': '27797.d', 'p': 13, 'prec': 20, 'unit': 1309715906144309494164, 'val': 1}
  • id: 1331916
    {'lmfdb_iso': '27797.d', 'p': 17, 'prec': 20, 'unit': 44911309189845237448080, 'val': 1}
  • id: 1331920
    {'lmfdb_iso': '27797.d', 'p': 23, 'prec': 20, 'unit': 44275936966697827666061957, 'val': 1}
  • id: 1331913
    {'lmfdb_iso': '27797.d', 'p': 29, 'prec': 20, 'unit': 2342709478567596316999738353, 'val': 1}
  • id: 1331910
    {'lmfdb_iso': '27797.d', 'p': 31, 'prec': 20, 'unit': 7337027163742273207271648249, 'val': 1}
  • id: 1331924
    {'lmfdb_iso': '27797.d', 'p': 37, 'prec': 20, 'unit': 365451436625552442464649826606, 'val': 1}
  • id: 1331911
    {'lmfdb_iso': '27797.d', 'p': 41, 'prec': 20, 'unit': 3163216251312511350991886122, 'val': 2}
  • id: 1331912
    {'lmfdb_iso': '27797.d', 'p': 43, 'prec': 20, 'unit': 191493272280658400489546435362, 'val': 1}
  • id: 1331918
    {'lmfdb_iso': '27797.d', 'p': 53, 'prec': 20, 'unit': 191126397446141031532846023441083, 'val': 1}
  • id: 1331922
    {'lmfdb_iso': '27797.d', 'p': 59, 'prec': 20, 'unit': 296508292264630732024222973657059, 'val': 1}
  • id: 1331923
    {'lmfdb_iso': '27797.d', 'p': 61, 'prec': 20, 'unit': 1348061102308540750501263866932648, 'val': 1}
  • id: 1331907
    {'lmfdb_iso': '27797.d', 'p': 67, 'prec': 20, 'unit': 7076389913169557169458644789435727, 'val': 1}
  • id: 1331909
    {'lmfdb_iso': '27797.d', 'p': 71, 'prec': 20, 'unit': 26964857750178538071945665168944694, 'val': 1}
  • id: 1331919
    {'lmfdb_iso': '27797.d', 'p': 73, 'prec': 20, 'unit': 70137540256880365408576022770768736, 'val': 1}
  • id: 1331915
    {'lmfdb_iso': '27797.d', 'p': 79, 'prec': 20, 'unit': 151209647536418702752196759070823620, 'val': 1}
  • id: 1331917
    {'lmfdb_iso': '27797.d', 'p': 83, 'prec': 20, 'unit': 699994994513438086497774886966758757, 'val': 1}
  • id: 1331921
    {'lmfdb_iso': '27797.d', 'p': 89, 'prec': 20, 'unit': 6632914066185316825914994140676017092, 'val': 1}
  • id: 1331906
    {'lmfdb_iso': '27797.d', 'p': 97, 'prec': 20, 'unit': 2330113418934595701216983364361710588427, 'val': -1}