Elliptic curve data - 363090.l3

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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': '363090l', 'Clabel': '363090l3', 'Cnumber': 3, 'abc_quality': 0.9643528449160724, 'absD': 183851338954002710472300, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [1, 1, 0, -6683723, -21678008967], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 363090, 'degree': 44040192, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1480288020863483233642429717', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [-280666708617128357161, 1562710596384182700], 'lmfdb_iso': '363090.l', 'lmfdb_label': '363090.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -136403, 63181706], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '12.12.0.g.1', '28.12.0-4.c.1.1', '84.24.0.?', '152.12.0.?', '456.24.0.?', '1064.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3612291809367781236226477039', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1750737275586916708115666000', 'prec': 100}, 'szpiro_ratio': 4.77426015508262, '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, -1, -1, 1, -1, 1, 0, -1, 1, 1, 0, -1, -1, 0, 1, 1, -2, -1, 1, -1], 'aplist': [-1, -1, -1, 0, 0, -1, -2, 1, -4, 2, 0, 6, -6, -12, -4, -14, 4, 2, -12, 8, 6, 0, 0, 10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 363090, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '363090.l', 'trace_hash': 75286905468304730}
• 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': '0.0018435585064607658544301748240', 'prec': 110}, 'conductor': 363090, 'gens': [[3604, 30783, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3612291809367781236226477039', 'prec': 100}], 'lmfdb_label': '363090.l3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.042157317442377511328006571878', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1853788203186176337313405240716179759', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[14283, -14283, 2]], 'xcoord_integral_points': [3604, 238311, 953224]}
• lmfdb_label 363090.l3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15094514
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '363090.l3', 'torsion': [4]}
  • id: 15094513
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '363090.l3', 'torsion': [2, 2]}
  • id: 15094515
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '363090.l3', 'torsion': [4]}
  • id: 15094516
    {'degree': 4, 'field': [49, 0, 7, 0, 1], 'lmfdb_label': '363090.l3', 'torsion': [2, 4]}
  • id: 15094520
    {'degree': 8, 'field': [-1843968, 0, -184016, 0, -4704, 0, 0, 0, 1], 'lmfdb_label': '363090.l3', 'torsion': [6]}
  • id: 15094518
    {'degree': 8, 'field': [57, 114, -94, -42, 27, -10, 8, -4, 1], 'lmfdb_label': '363090.l3', 'torsion': [8]}
  • id: 15094517
    {'degree': 8, 'field': [66556, 2744, -17314, -1024, 1693, 58, -61, -2, 1], 'lmfdb_label': '363090.l3', 'torsion': [2, 4]}
  • id: 15094519
    {'degree': 8, 'field': [1929321, 0, 278784, 0, 2406, 0, 144, 0, 1], 'lmfdb_label': '363090.l3', 'torsion': [8]}
  • id: 15094522
    {'degree': 16, 'field': [3249, 6498, 18354, -5928, 12085, -2778, 6354, -2330, 92, 892, -472, 94, -3, -12, 8, -4, 1], 'lmfdb_label': '363090.l3', 'torsion': [2, 8]}
  • id: 15094521
    {'degree': 16, 'field': [31979581, 8863076, -5923834, -5354676, 1377488, 1532596, -464786, -41748, 15193, -6324, 4666, -2188, 668, -168, 44, -8, 1], 'lmfdb_label': '363090.l3', 'torsion': [4, 4]}
  • id: 15094525
    {'degree': 16, 'field': [12396595600, 0, -8770889327, 0, 1562961010, 0, -120650289, 0, 3203187, 0, 52995, 0, -2705, 0, -14, 0, 1], 'lmfdb_label': '363090.l3', 'torsion': [12]}
  • id: 15094526
    {'degree': 16, 'field': [19707948225, 0, 88298843976, 0, 18057843580, 0, 10698957528, 0, 203057862, 0, 545720, 0, 2940, 0, 168, 0, 1], 'lmfdb_label': '363090.l3', 'torsion': [12]}
  • id: 15094523
    {'degree': 16, 'field': [3193408314121, 0, 290518721356, 0, 8869960492, 0, 417521908, 0, 11761870, 0, -78668, 0, 8572, 0, -116, 0, 1], 'lmfdb_label': '363090.l3', 'torsion': [2, 8]}
  • id: 15094524
    {'degree': 16, 'field': [3400217985024, 0, -339319615488, 0, 25187862784, 0, -865611264, 0, 23971584, 0, -368032, 0, 4704, 0, 0, 0, 1], 'lmfdb_label': '363090.l3', '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: 8980936
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.l3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980937
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.l3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8980938
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.l3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980939
    {'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '363090.l3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8980940
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '363090.l3', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980941
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.l3', 'prime': 19, 'reduction_type': 1, '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: 3925853
    {'adelic_gens': [[3185, 8, 3184, 9], [2227, 2226, 1666, 1891], [1, 0, 8, 1], [1, 8, 0, 1], [2003, 1540, 2954, 1317], [1, 4, 4, 17], [1009, 2744, 2212, 1401], [7, 6, 3186, 3187], [1072, 1827, 1981, 2738], [2279, 0, 0, 3191]], 'adelic_image': '3192.48.0.?', 'conductor': 363090, 'lmfdb_label': '363090.l3', 'prime': 0}
  • id: 1249909
    {'conductor': 363090, 'elladic_image': '4.6.0.1', 'lmfdb_label': '363090.l3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 363090.l does not appear in ec_padic