Elliptic curve data - 235950.dv1

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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': '235950dv', 'Clabel': '235950dv2', 'Cnumber': 2, 'abc_quality': 1.0229491064938572, 'absD': 49487915508521495444010000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [1, 0, 1, -946560376, 3329857491398], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 235950, 'degree': 216760320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1975345258079851573034370249', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 99, 'isogeny_degrees': [1, 2], 'jinv': [3388383326345613179401, 1787816842064922240], 'lmfdb_iso': '235950.dv', 'lmfdb_label': '235950.dv1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -312912, -20145024], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '156.6.0.?', '1560.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.3764319025453026746241737107', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3025], [3, 4, 6050], [5, 18, 9438], [7, 2, 39325], [11, 72, 1950], [13, 14, 18150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1938679331917496979720855693', 'prec': 100}, 'szpiro_ratio': 5.950723973997725, '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, 0, -1, 2, -1, 1, 0, 0, 1, -1, -2, 0, 1, 4, -1, 2, 0], 'aplist': [-1, 1, 0, 2, 0, -1, 4, 2, 6, 4, -8, -2, -2, -12, 0, -2, -4, 10, -8, -16, -8, 0, 4, 6, -4], 'class_deg': 2, 'class_size': 2, 'conductor': 235950, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '235950.dv', 'trace_hash': 236795805179294021}
• 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': '0.00022597887158687399928449632376', 'prec': 113}, 'conductor': 235950, 'gens': [[4257472, 8782357826, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '9.3764319025453026746241737107', 'prec': 100}], 'lmfdb_label': '235950.dv1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.031300105182627725291218415515', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.2175325340475967791065686400112381246', 'prec': 130}, 'tamagawa_product': 112, 'torsion_generators': [[14263, -14267, 2]], 'xcoord_integral_points': [4257472]}
• lmfdb_label 235950.dv1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10208545
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '235950.dv1', 'torsion': [2, 2]}
  • id: 10208546
    {'degree': 4, 'field': [4840, 0, 22, 0, 1], 'lmfdb_label': '235950.dv1', 'torsion': [4]}
  • id: 10208549
    {'degree': 8, 'field': [31689, -32688, 11760, -3336, 690, -104, -12, 0, 1], 'lmfdb_label': '235950.dv1', 'torsion': [6]}
  • id: 10208548
    {'degree': 8, 'field': [993081, 478320, 89312, 6800, -3486, -480, -32, 0, 1], 'lmfdb_label': '235950.dv1', 'torsion': [2, 4]}
  • id: 10208547
    {'degree': 8, 'field': [1134225, 0, -58710, 0, 2794, 0, 106, 0, 1], 'lmfdb_label': '235950.dv1', 'torsion': [2, 4]}
  • id: 10208551
    {'degree': 16, 'field': [4210704, 0, 149040, 0, -766332, 0, 591408, 0, -29880, 0, -131572, 0, 3000, 0, 96, 0, 1], 'lmfdb_label': '235950.dv1', 'torsion': [2, 6]}
  • id: 10208550
    {'degree': 16, 'field': [20436387549444, 8793521936280, -571585620204, -931298171292, 90443914437, 20883277332, -225633831, -71888430, -44588141, 9864, 794186, 23856, -45, 204, -55, -6, 1], 'lmfdb_label': '235950.dv1', 'torsion': [8]}
• 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: 5851101
    {'conductor': 235950, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '235950.dv1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5851102
    {'conductor': 235950, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '235950.dv1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 5851103
    {'conductor': 235950, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '235950.dv1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5851104
    {'conductor': 235950, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '235950.dv1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5851105
    {'conductor': 235950, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '235950.dv1', 'prime': 13, 'reduction_type': -1, '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: 3166212
    {'adelic_gens': [[521, 4, 1042, 9], [314, 1, 623, 0], [1, 2, 2, 5], [2, 1, 779, 0], [1, 4, 0, 1], [1081, 4, 602, 9], [1557, 4, 1556, 5], [977, 586, 584, 975], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '1560.12.0.?', 'conductor': 235950, 'lmfdb_label': '235950.dv1', 'prime': 0}
  • id: 857644
    {'conductor': 235950, 'elladic_image': '2.3.0.1', 'lmfdb_label': '235950.dv1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 235950.dv does not appear in ec_padic