Elliptic curve data - 7200.y2

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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': '7200q', 'Clabel': '7200q2', 'Cnumber': 2, 'absD': 373248000, 'ainvs': [0, 0, 0, 180, 0], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': -4, 'conductor': 7200, 'degree': 2048, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.33427987709101573051276948992', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2], 'jinv': [1728, 1], 'lmfdb_iso': '7200.y', 'lmfdb_label': '7200.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 20, 0], 'min_quad_twist_disc': 12, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.51290147021016882327278029402', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 6, 800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 103}, 'szpiro_ratio': 3.0615823858489373, '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 8, 0, 0, 0], 'aplist': [0, 0, 0, 0, 0, -4, 8, 0, 0, -10, 0, -12, 10, 0, 0, -4, 0, 10, 0, 0, -16, 0, 0, 10, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 7200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '7200.y', 'trace_hash': 2020111934037017907}
• 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': '0.51244609490120174152988689732', 'prec': 103}, 'conductor': 7200, 'gens': [[6, 36, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.51290147021016882327278029402', 'prec': 103}], 'lmfdb_label': '7200.y2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0123695915042112144029940770', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1539668150286237505709294385619427370', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[0, 0, 1]], 'xcoord_integral_points': [0, 4, 6, 30, 45, 1014]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [3, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '7200.y2'}
• ec_torsion_growth •

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

  
  
  • id: 378756
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '7200.y2', 'torsion': [2, 2]}
  • id: 378757
    {'degree': 4, 'field': [-45, 0, 0, 0, 1], 'lmfdb_label': '7200.y2', 'torsion': [4]}
  • id: 378760
    {'degree': 8, 'field': [-675, 0, 0, 0, -90, 0, 0, 0, 1], 'lmfdb_label': '7200.y2', 'torsion': [6]}
  • id: 378761
    {'degree': 8, 'field': [34, -76, 48, 8, -12, -4, 2, 0, 1], 'lmfdb_label': '7200.y2', 'torsion': [10]}
  • id: 378758
    {'degree': 8, 'field': [121, -572, 916, -356, 114, -28, 4, -4, 1], 'lmfdb_label': '7200.y2', 'torsion': [2, 4]}
  • id: 378759
    {'degree': 8, 'field': [121, 22, 2, -50, 31, -10, 8, -4, 1], 'lmfdb_label': '7200.y2', 'torsion': [2, 4]}
  • id: 378763
    {'degree': 16, 'field': [-23279, 69352, -27792, -9056, -27738, 15912, 9348, -1408, -3765, -2328, -84, 144, 2, -16, -12, 0, 1], 'lmfdb_label': '7200.y2', 'torsion': [8]}
  • id: 378765
    {'degree': 16, 'field': [-1844, 4632, -5456, 2560, 3672, -9344, 8824, -3728, 182, 700, -604, 272, -40, -8, 6, -4, 1], 'lmfdb_label': '7200.y2', 'torsion': [10]}
  • id: 378766
    {'degree': 16, 'field': [46, -212, 552, -952, 1340, -1740, 2326, -2684, 2271, -1316, 646, -396, 248, -112, 36, -8, 1], 'lmfdb_label': '7200.y2', 'torsion': [2, 6]}
  • id: 378762
    {'degree': 16, 'field': [81, 0, 432, 972, 1152, 3528, 6564, 5196, 1810, 1104, 1192, 316, -88, 8, 12, -4, 1], 'lmfdb_label': '7200.y2', 'torsion': [4, 4]}
  • id: 378767
    {'degree': 16, 'field': [349, 216, 1390, -3572, 2782, -1572, 1486, -1524, 1327, -748, 286, -116, 80, -56, 28, -8, 1], 'lmfdb_label': '7200.y2', 'torsion': [2, 10]}
  • id: 378764
    {'degree': 16, 'field': [2116, -20056, 57656, -41664, 38096, -23672, 14128, 2928, -1478, 996, -728, 224, -4, 12, 14, -8, 1], 'lmfdb_label': '7200.y2', 'torsion': [3, 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: 148005
    {'conductor': 7200, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '7200.y2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 148006
    {'conductor': 7200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '7200.y2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 148007
    {'conductor': 7200, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '7200.y2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• lmfdb_label 7200.y2 does not appear in ec_galrep
• ec_padic •

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

  
  
  • id: 291411
    {'lmfdb_iso': '7200.y', 'p': 13, 'prec': 20, 'unit': 540064103343384686369, 'val': 1}
  • id: 291413
    {'lmfdb_iso': '7200.y', 'p': 17, 'prec': 20, 'unit': 180069312890553162317694, 'val': 1}
  • id: 291412
    {'lmfdb_iso': '7200.y', 'p': 29, 'prec': 20, 'unit': 649938904144189295427285937, 'val': 1}
  • id: 291409
    {'lmfdb_iso': '7200.y', 'p': 37, 'prec': 20, 'unit': 496675988353666070538111291452, 'val': 1}
  • id: 291410
    {'lmfdb_iso': '7200.y', 'p': 41, 'prec': 20, 'unit': 2736000725849008442489593596893, 'val': 1}
  • id: 291414
    {'lmfdb_iso': '7200.y', 'p': 53, 'prec': 20, 'unit': 379975787155966250835009592778904, 'val': 1}
  • id: 291417
    {'lmfdb_iso': '7200.y', 'p': 61, 'prec': 20, 'unit': 3570710314540536483549527030952949, 'val': 1}
  • id: 291415
    {'lmfdb_iso': '7200.y', 'p': 73, 'prec': 20, 'unit': 195330575532375753954476713732517288, 'val': 1}
  • id: 291416
    {'lmfdb_iso': '7200.y', 'p': 89, 'prec': 20, 'unit': 2131386989881125999038944742889497151, 'val': 1}
  • id: 291408
    {'lmfdb_iso': '7200.y', 'p': 97, 'prec': 20, 'unit': 15908343856935268188688896684751918049, 'val': 1}