Elliptic curve data - 35490.cl4

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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': '35490co', 'Clabel': '35490co1', 'Cnumber': 1, 'abc_quality': 0.9797737929026421, 'absD': 34543209204940800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [1, 1, 1, -81715, -969103], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 35490, 'degree': 430080, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8631286196786468965570912408', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 63, 'isogeny_degrees': [1, 2, 4], 'jinv': [12501706118329, 7156531200], 'lmfdb_iso': '35490.cl', 'lmfdb_label': '35490.cl4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -483, -627], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '104.24.0.?', '168.24.0.?', '546.6.0.?', '1092.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3843491074421293554249290826', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3549], [3, 4, 11830], [5, 6, 3549], [7, 8, 5070], [13, 98, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58065394094787852853034752002', 'prec': 103}, 'szpiro_ratio': 4.347289799899693, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, 1, -1, 1, 1, -1, -1, 1, 1, 1, -4, -1, 0, -1, -1, 1, 2, 1, -4, 1], 'aplist': [1, -1, 1, -1, -4, 0, 2, -4, 4, 2, 8, 6, -10, -4, 0, -6, -8, 10, 8, 16, -14, -16, -16, -18, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 35490, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '35490.cl', 'trace_hash': 255429624061765352}
• 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': '0.024082803537145676379122869388', 'prec': 107}, 'conductor': 35490, 'gens': [[547, 10606, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3843491074421293554249290826', 'prec': 100}], 'lmfdb_label': '35490.cl4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30613050032023781068914714430', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2992198519937151872680083744577009619', 'prec': 130}, 'tamagawa_product': 160, 'torsion_generators': [[-125, 2766, 1]], 'xcoord_integral_points': [-125, 291, 547, 967]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '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': '35490.cl4'}
• ec_torsion_growth •

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

  
  
  • id: 1761301
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '35490.cl4', 'torsion': [2, 4]}
  • id: 1761302
    {'degree': 4, 'field': [360, -72, -5, -2, 1], 'lmfdb_label': '35490.cl4', 'torsion': [8]}
  • id: 1761305
    {'degree': 8, 'field': [-723056, -319408, 130748, 96920, 15268, -524, -241, -2, 1], 'lmfdb_label': '35490.cl4', 'torsion': [2, 8]}
  • id: 1761306
    {'degree': 8, 'field': [4800, 2400, 8480, 2448, 636, -154, -48, 0, 1], 'lmfdb_label': '35490.cl4', 'torsion': [12]}
  • id: 1761304
    {'degree': 8, 'field': [217504, 7952, -7010, -1888, 955, -16, 10, -4, 1], 'lmfdb_label': '35490.cl4', 'torsion': [2, 8]}
  • id: 1761303
    {'degree': 8, 'field': [42719296, 0, 2458369, 0, 122127, 0, 751, 0, 1], 'lmfdb_label': '35490.cl4', 'torsion': [4, 4]}
  • id: 1761308
    {'degree': 16, 'field': [-14375072, 50161984, 154483440, -401991954, 182909436, 20908152, -4604321, -4110152, 3642834, -1761600, 370437, -9960, 1751, -70, 30, -8, 1], 'lmfdb_label': '35490.cl4', 'torsion': [2, 12]}
  • id: 1761307
    {'degree': 16, 'field': [17314634000, 7613929600, 17402764560, 3964352800, 5312180476, 261536992, 986296464, 72070000, 80303456, 5986680, 1854200, -4136, 16333, -876, 194, -4, 1], 'lmfdb_label': '35490.cl4', 'torsion': [16]}
• 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: 835027
    {'conductor': 35490, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '35490.cl4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
  • id: 835028
    {'conductor': 35490, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35490.cl4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 835029
    {'conductor': 35490, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '35490.cl4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 835030
    {'conductor': 35490, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35490.cl4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 835031
    {'conductor': 35490, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '35490.cl4', 'prime': 13, '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: 1901230
    {'adelic_gens': [[1460, 1, 751, 6], [1369, 1368, 286, 1375], [1, 0, 8, 1], [2177, 8, 2176, 9], [1, 8, 0, 1], [628, 1, 335, 6], [1, 4, 4, 17], [1336, 2181, 835, 2182], [7, 6, 2178, 2179], [827, 822, 1370, 275]], 'adelic_image': '2184.48.0.?', 'conductor': 35490, 'lmfdb_label': '35490.cl4', 'prime': 0}
  • id: 157585
    {'conductor': 35490, 'elladic_image': '4.12.0.7', 'lmfdb_label': '35490.cl4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1741860
    {'lmfdb_iso': '35490.cl', 'p': 11, 'prec': 20, 'unit': 51200160614710658214, 'val': 1}
  • id: 1741861
    {'lmfdb_iso': '35490.cl', 'p': 17, 'prec': 20, 'unit': 213663414525927211868198, 'val': 1}
  • id: 1741862
    {'lmfdb_iso': '35490.cl', 'p': 19, 'prec': 20, 'unit': 972502258110450744035293, 'val': 1}
  • id: 1741865
    {'lmfdb_iso': '35490.cl', 'p': 23, 'prec': 20, 'unit': 13541487708939314867908438, 'val': 1}
  • id: 1741858
    {'lmfdb_iso': '35490.cl', 'p': 29, 'prec': 20, 'unit': 723952796244228598625565603, 'val': 1}
  • id: 1741869
    {'lmfdb_iso': '35490.cl', 'p': 31, 'prec': 20, 'unit': 18773144935332910794494448461, 'val': 1}
  • id: 1741854
    {'lmfdb_iso': '35490.cl', 'p': 37, 'prec': 20, 'unit': 391301801717497760875932885149, 'val': 1}
  • id: 1741856
    {'lmfdb_iso': '35490.cl', 'p': 41, 'prec': 20, 'unit': 3525842922697294355215469333237, 'val': 1}
  • id: 1741857
    {'lmfdb_iso': '35490.cl', 'p': 43, 'prec': 20, 'unit': 4999890183282642383508978780096, 'val': 1}
  • id: 1741863
    {'lmfdb_iso': '35490.cl', 'p': 53, 'prec': 20, 'unit': 448519689857077327963652101249568, 'val': 1}
  • id: 1741867
    {'lmfdb_iso': '35490.cl', 'p': 59, 'prec': 20, 'unit': 426071010134437937010636540387717, 'val': 1}
  • id: 1741868
    {'lmfdb_iso': '35490.cl', 'p': 61, 'prec': 20, 'unit': 4774454430116776109153288251987659, 'val': 1}
  • id: 1741853
    {'lmfdb_iso': '35490.cl', 'p': 67, 'prec': 20, 'unit': 3209487035757286292692037050976178, 'val': 1}
  • id: 1741855
    {'lmfdb_iso': '35490.cl', 'p': 71, 'prec': 20, 'unit': 2599341487403758196240054080383789, 'val': 1}
  • id: 1741864
    {'lmfdb_iso': '35490.cl', 'p': 73, 'prec': 20, 'unit': 84951570909950156189153364654472393, 'val': 1}
  • id: 1741859
    {'lmfdb_iso': '35490.cl', 'p': 79, 'prec': 20, 'unit': 920161132918546590627879402843456974, 'val': 1}
  • id: 1741852
    {'lmfdb_iso': '35490.cl', 'p': 83, 'prec': 20, 'unit': 932287556933141540133218193424963638, 'val': 1}
  • id: 1741866
    {'lmfdb_iso': '35490.cl', 'p': 89, 'prec': 20, 'unit': 9904171979829643601974374020045530713, 'val': 1}
  • id: 1741851
    {'lmfdb_iso': '35490.cl', 'p': 97, 'prec': 20, 'unit': 12991947580598270701153152920477333770, 'val': 1}