Elliptic curve data - 4560.u2

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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': '4560v', 'Clabel': '4560v1', 'Cnumber': 1, 'abc_quality': 1.0910685591664424, 'absD': 58482000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 380, 'ainvs': [0, 1, 0, -3381, -76806], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4560, 'degree': 2304, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.63220580930482524094982498102', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2], 'jinv': [267219216891904, 3655125], 'lmfdb_iso': '4560.u', 'lmfdb_label': '4560.u2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3381, 76806], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '76.6.0.?', '380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4205388663130122938651435725', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40115674911817680447741427387', 'prec': 103}, 'szpiro_ratio': 4.271969899059855, '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, 1, 0, -1, 0, 2, 0, 1, 0, -4, 0, 0, 0, -1, 0, -2, 0, -1, 0], 'aplist': [0, 1, -1, 2, -4, 0, -2, -1, 2, -6, 0, -8, -2, 6, 2, -4, -4, -10, 12, -8, -2, 8, -14, -2, -4], 'class_deg': 2, 'class_size': 2, 'conductor': 4560, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4560.u', 'trace_hash': 1580390741232120847}
• 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': '0.28240540935416729249704535777', 'prec': 103}, 'conductor': 4560, 'gens': [[270, 4332, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4205388663130122938651435725', 'prec': 100}], 'lmfdb_label': '4560.u2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.62607723803527199500216170787', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2830430520271024204008517523221203291', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-34, 0, 1]], 'xcoord_integral_points': [-34, 270]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '4560.u2'}
• ec_torsion_growth •

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

  
  
  • id: 238106
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '4560.u2', 'torsion': [2, 2]}
  • id: 238107
    {'degree': 4, 'field': [5, 0, 18, 0, 1], 'lmfdb_label': '4560.u2', 'torsion': [4]}
  • id: 238110
    {'degree': 8, 'field': [-147, 0, 68, 0, -42, 0, 0, 0, 1], 'lmfdb_label': '4560.u2', 'torsion': [6]}
  • id: 238108
    {'degree': 8, 'field': [1, 6, 24, -8, -81, 44, -4, -2, 1], 'lmfdb_label': '4560.u2', 'torsion': [2, 4]}
  • id: 238109
    {'degree': 8, 'field': [16, 0, 160, 0, 332, 0, 40, 0, 1], 'lmfdb_label': '4560.u2', 'torsion': [2, 4]}
  • id: 238112
    {'degree': 16, 'field': [26681, -42344, 28540, 54216, -87818, 56840, 6916, -20336, 2355, 2560, -1348, 560, -154, 0, 20, -8, 1], 'lmfdb_label': '4560.u2', 'torsion': [2, 6]}
  • id: 238111
    {'degree': 16, 'field': [2402500, 0, -1878000, 0, 399600, 0, -149400, 0, 52780, 0, 2760, 0, 324, 0, 36, 0, 1], 'lmfdb_label': '4560.u2', '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: 87080
    {'conductor': 4560, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '4560.u2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 87081
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4560.u2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 87082
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '4560.u2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 87083
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4560.u2', 'prime': 19, '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: 1693705
    {'adelic_gens': [[1, 0, 4, 1], [154, 1, 303, 0], [3, 4, 8, 11], [1, 2, 2, 5], [377, 4, 376, 5], [1, 4, 0, 1], [289, 96, 284, 95], [21, 4, 42, 9]], 'adelic_image': '380.12.0.?', 'conductor': 4560, 'lmfdb_label': '4560.u2', 'prime': 0}
  • id: 22696
    {'conductor': 4560, 'elladic_image': '2.3.0.1', 'lmfdb_label': '4560.u2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 164305
    {'lmfdb_iso': '4560.u', 'p': 7, 'prec': 20, 'unit': 354708743713955, 'val': 1}
  • id: 164303
    {'lmfdb_iso': '4560.u', 'p': 11, 'prec': 20, 'unit': 52899764261668483488, 'val': 1}
  • id: 164310
    {'lmfdb_iso': '4560.u', 'p': 17, 'prec': 20, 'unit': 97128689472454846013207, 'val': 1}
  • id: 164315
    {'lmfdb_iso': '4560.u', 'p': 23, 'prec': 20, 'unit': 9326542815264572167447241, 'val': 1}
  • id: 164308
    {'lmfdb_iso': '4560.u', 'p': 29, 'prec': 20, 'unit': 2269804860615724187387474833, 'val': 1}
  • id: 164304
    {'lmfdb_iso': '4560.u', 'p': 37, 'prec': 20, 'unit': 333378554103803306358276076366, 'val': 1}
  • id: 164306
    {'lmfdb_iso': '4560.u', 'p': 41, 'prec': 20, 'unit': 3649745446044127985162245670354, 'val': 1}
  • id: 164307
    {'lmfdb_iso': '4560.u', 'p': 43, 'prec': 20, 'unit': 5651075804991640902180755451012, 'val': 1}
  • id: 164318
    {'lmfdb_iso': '4560.u', 'p': 47, 'prec': 20, 'unit': 8465975401667443904938326936809, 'val': 1}
  • id: 164312
    {'lmfdb_iso': '4560.u', 'p': 53, 'prec': 20, 'unit': 194155953914908762401075066318477, 'val': 1}
  • id: 164313
    {'lmfdb_iso': '4560.u', 'p': 59, 'prec': 20, 'unit': 4013646605378830374807403115950474, 'val': 1}
  • id: 164319
    {'lmfdb_iso': '4560.u', 'p': 61, 'prec': 20, 'unit': 243559221945180674668840311223330, 'val': 1}
  • id: 164302
    {'lmfdb_iso': '4560.u', 'p': 67, 'prec': 20, 'unit': 4175328297481586417406932003993592, 'val': 1}
  • id: 164317
    {'lmfdb_iso': '4560.u', 'p': 71, 'prec': 20, 'unit': 44051302398531610131488517676971737, 'val': 1}
  • id: 164314
    {'lmfdb_iso': '4560.u', 'p': 73, 'prec': 20, 'unit': 61214963769279069148050042651517338, 'val': 1}
  • id: 164309
    {'lmfdb_iso': '4560.u', 'p': 79, 'prec': 20, 'unit': 101704176687544943865412429189206672, 'val': 1}
  • id: 164311
    {'lmfdb_iso': '4560.u', 'p': 83, 'prec': 20, 'unit': 1399997805493805037716117015371491686, 'val': 1}
  • id: 164316
    {'lmfdb_iso': '4560.u', 'p': 89, 'prec': 20, 'unit': 1422468891053583890992382253610777739, 'val': 1}
  • id: 164301
    {'lmfdb_iso': '4560.u', 'p': 97, 'prec': 20, 'unit': 1378698599711883996426963829844041179, 'val': 1}