Elliptic curve data - 234234.dy1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '234234dy', 'Clabel': '234234dy2', 'Cnumber': 2, 'abc_quality': 0.8986248252762822, 'absD': 9066303687254814, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 8008, 'ainvs': [1, -1, 1, -1017581, 395322711], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 234234, 'degree': 2752512, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1093964251863910747528036137', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 102, 'isogeny_degrees': [1, 2], 'jinv': [33116363266897, 2576574], 'lmfdb_iso': '234234.dy', 'lmfdb_label': '234234.dy1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -669, -6939], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.a.1', '572.6.0.?', '8008.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8768936339212454069619844934', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 10647], [3, 8, 26026], [7, 8, 33462], [11, 12, 21294], [13, 98, 1386]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27761560212156786102843727446', 'prec': 103}, 'szpiro_ratio': 4.2957046659940525, '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, 0, 1, -2, 0, 1, 1, 0, -2, 1, 0, 0, 1, 0, 1, 0, 0, -4, -2], 'aplist': [1, 0, -2, 1, 1, 0, 0, -4, 4, 0, -4, 8, 6, -4, -4, -6, 6, 2, 0, -2, 2, 2, 4, 16, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 234234, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '234234.dy', 'trace_hash': 2065195977294828451}
• 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': '0.014716398681954620920947549859', 'prec': 107}, 'conductor': 234234, 'gens': [[4079, 159339, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '6.8768936339212454069619844934', 'prec': 100}], 'lmfdb_label': '234234.dy1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.39160855248420276492368526621', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.772201446270911629951159911254645113', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[2315, -2319, 2]], 'xcoord_integral_points': []}
• lmfdb_label 234234.dy1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10134283
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '234234.dy1', 'torsion': [2, 2]}
  • id: 10134284
    {'degree': 4, 'field': [4536, 0, 114, 0, 1], 'lmfdb_label': '234234.dy1', 'torsion': [4]}
  • id: 10134285
    {'degree': 8, 'field': [-1322135, 1580768, -187296, -4144, -21310, -1232, -128, 0, 1], 'lmfdb_label': '234234.dy1', 'torsion': [2, 4]}
  • id: 10134286
    {'degree': 8, 'field': [3282994, -1435148, 369538, -37232, 13179, -232, 250, -4, 1], 'lmfdb_label': '234234.dy1', 'torsion': [2, 4]}
  • id: 10134287
    {'degree': 8, 'field': [5389744, -1670016, 235012, -35228, -336, 397, -5, -3, 1], 'lmfdb_label': '234234.dy1', 'torsion': [6]}
  • id: 10134289
    {'degree': 16, 'field': [13262141284128, -21298007791104, 5870326074448, -219971438784, 154584192496, -26163056240, 4909343592, -556047464, 75779606, -11433300, 820577, -121858, 2277, 1412, -113, -6, 1], 'lmfdb_label': '234234.dy1', 'torsion': [2, 6]}
  • id: 10134288
    {'degree': 16, 'field': [27497394684288, 14719776757056, 2735148621168, 222241745088, 105120549792, 34706306196, 7980305733, 1021208652, 272543469, 21955896, 4094026, 271256, 46610, 212, 353, -4, 1], 'lmfdb_label': '234234.dy1', '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: 5805015
    {'conductor': 234234, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '234234.dy1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5805016
    {'conductor': 234234, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '234234.dy1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5805017
    {'conductor': 234234, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '234234.dy1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5805018
    {'conductor': 234234, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '234234.dy1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5805019
    {'conductor': 234234, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '234234.dy1', '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: 3154834
    {'adelic_gens': [[1, 0, 4, 1], [6866, 1, 4575, 0], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 4003, 0], [3004, 5009, 1001, 7008], [4369, 4, 730, 9], [8005, 4, 8004, 5], [4929, 4, 1850, 9]], 'adelic_image': '8008.12.0.?', 'conductor': 234234, 'lmfdb_label': '234234.dy1', 'prime': 0}
  • id: 851662
    {'conductor': 234234, 'elladic_image': '2.3.0.1', 'lmfdb_label': '234234.dy1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 234234.dy does not appear in ec_padic