Elliptic curve data - 337535.g1

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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': '337535g', 'Clabel': '337535g1', 'Cnumber': 1, 'abc_quality': 0.9844251155566571, 'absD': 16632924209171875, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 21318, 'ainvs': [0, -1, 1, -4749075, -3981893192], 'analytic_rank': 1, 'bad_primes': [5, 11, 17, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 337535, 'degree': 10119168, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3848560783800427448535578743', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [-251784668965666816, 353546875], 'lmfdb_iso': '337535.g', 'lmfdb_label': '337535.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -13155, 576381], 'min_quad_twist_disc': -19, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '57.8.0-3.a.1.1', '374.2.0.?', '1122.8.0.?', '21318.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '23.779490034386571625329347119', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91263658879682251484904415836', 'prec': 103}, 'szpiro_ratio': 4.535475031604137, '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, 2, -2, 1, 0, 5, 0, 1, 0, -1, -4, 4, 0, 2, 4, -1, 0, 0, -2], 'aplist': [0, 2, 1, 5, -1, 4, -1, 0, 6, 3, -2, -8, -9, -4, -3, 9, -9, 14, -5, -6, 11, -8, 6, -9, 4], 'class_deg': 3, 'class_size': 2, 'conductor': 337535, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '337535.g', 'trace_hash': 2038996874781698305}
• 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': '0.0084828215314034897761549642902', 'prec': 110}, 'conductor': 337535, 'gens': [[1288769577416, 1362327933914374999, 14233]], 'heights': [{'__RealLiteral__': 0, 'data': '23.779490034386571625329347119', 'prec': 100}], 'lmfdb_label': '337535.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.051134881957967622232360181101', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '14.591536991148297290383219323393674584', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 337535.g1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14126676
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '337535.g1', 'torsion': [3]}
  • id: 14126677
    {'degree': 3, 'field': [5, 1, -1, 1], 'lmfdb_label': '337535.g1', 'torsion': [2]}
  • id: 14126679
    {'degree': 6, 'field': [-768, -96, -248, -78, -1, -3, 1], 'lmfdb_label': '337535.g1', 'torsion': [3]}
  • id: 14126680
    {'degree': 6, 'field': [85, 119, 76, -21, 16, -1, 1], 'lmfdb_label': '337535.g1', 'torsion': [6]}
  • id: 14126678
    {'degree': 6, 'field': [383, -219, 56, -51, 18, -1, 1], 'lmfdb_label': '337535.g1', 'torsion': [2, 2]}
  • id: 14126681
    {'degree': 12, 'field': [-418918031362, -177802763952, -11647773224, 7639214176, 817219688, -71334208, -20313064, -381216, 215172, -3762, -312, 0, 1], 'lmfdb_label': '337535.g1', 'torsion': [4]}
  • id: 14126682
    {'degree': 12, 'field': [13924, 0, 16247, 0, 3519, 0, 1975, 0, 357, 0, 29, 0, 1], 'lmfdb_label': '337535.g1', 'torsion': [3, 3]}
  • id: 14126683
    {'degree': 12, 'field': [363836, -443916, 151188, -74560, 50114, -20410, 11277, -1428, 1305, -142, 71, -4, 1], 'lmfdb_label': '337535.g1', 'torsion': [2, 6]}
  • id: 14126685
    {'degree': 18, 'field': [-319453968, -1365038256, -731946032, 1477021504, -1336471264, 708238360, -264944968, 56490248, -4123500, -2768932, 1362576, -354770, 34415, 2351, -1662, 247, -6, -3, 1], 'lmfdb_label': '337535.g1', 'torsion': [6]}
  • id: 14126684
    {'degree': 18, 'field': [116866565, 27895245, 76825905, 21203664, 9828453, -2457189, 4818879, -3173793, 1772781, -537115, 176145, -32445, 5805, -381, 183, 6, 9, -3, 1], 'lmfdb_label': '337535.g1', '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: 8352260
    {'conductor': 337535, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '337535.g1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 8352261
    {'conductor': 337535, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '337535.g1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8352262
    {'conductor': 337535, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '337535.g1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8352263
    {'conductor': 337535, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '337535.g1', '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: 3774060
    {'adelic_gens': [[4, 3, 9, 7], [21313, 6, 21312, 7], [17766, 18145, 3553, 7107], [11629, 14592, 10203, 1141], [10033, 14592, 5415, 1141], [20195, 0, 0, 21317], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '21318.16.0.?', 'conductor': 337535, 'lmfdb_label': '337535.g1', 'prime': 0}
  • id: 1172265
    {'conductor': 337535, 'elladic_image': '3.4.0.1', 'lmfdb_label': '337535.g1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 337535.g does not appear in ec_padic