Elliptic curve data - 2320.e1

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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': '2320f', 'Clabel': '2320f1', 'Cnumber': 1, 'abc_quality': 0.8443971528463781, 'absD': 593920, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1160, 'ainvs': [0, 0, 0, -43, -102], 'analytic_rank': 0, 'bad_primes': [2, 5, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 2320, 'degree': 256, 'elladic_images': ['8.12.0.22'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.14335412696219388717604704349', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [2146689, 145], 'lmfdb_iso': '2320.e', 'lmfdb_label': '2320.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -3, 2], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '8.12.0-4.b.1.2', '290.6.0.?', '580.24.0.?', '1160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 145], [5, 6, 464], [29, 30, 80]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83650130752213919659327916495', 'prec': 107}, 'szpiro_ratio': 2.954736170061794, '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, -1, 0, 2, 0, -3, 0, 6, 0, 2, 0, 0, 0, -2, 0, 2, 0], 'aplist': [0, 0, -1, 2, 6, 2, -2, 2, -2, -1, -2, 10, 2, -8, 12, -6, 8, -6, -2, 12, -6, 10, 14, 18, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 2320, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '2320.e', 'trace_hash': 1136302772993974586}
• 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': '1.3320355406399877122231578510', 'prec': 100}, 'conductor': 2320, 'gens': [], 'heights': [], 'lmfdb_label': '2320.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.8722895951189997533215700663', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8722895951189997533215700662526041761', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-3, 0, 1]], 'xcoord_integral_points': [-3]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': [0, 0], '29': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '2320.e1'}
• ec_torsion_growth •

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

  
  
  • id: 118670
    {'degree': 2, 'field': [-36, -1, 1], 'lmfdb_label': '2320.e1', 'torsion': [2, 2]}
  • id: 118671
    {'degree': 4, 'field': [8, 4, -3, -2, 1], 'lmfdb_label': '2320.e1', 'torsion': [4]}
  • id: 118674
    {'degree': 8, 'field': [-3, 0, 9, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '2320.e1', 'torsion': [6]}
  • id: 118673
    {'degree': 8, 'field': [16, 0, -32, 0, -121, 0, -8, 0, 1], 'lmfdb_label': '2320.e1', 'torsion': [2, 4]}
  • id: 118672
    {'degree': 8, 'field': [576, -336, 98, -166, 73, 6, 8, -4, 1], 'lmfdb_label': '2320.e1', 'torsion': [2, 4]}
  • id: 118677
    {'degree': 16, 'field': [9, 0, -3861, 0, -33885, 0, 70362, 0, -24765, 0, -10458, 0, -858, 0, 0, 0, 1], 'lmfdb_label': '2320.e1', 'torsion': [2, 6]}
  • id: 118676
    {'degree': 16, 'field': [4225, 0, 13132, 0, 9302, 0, -1572, 0, -365, 0, -180, 0, 114, 0, -16, 0, 1], 'lmfdb_label': '2320.e1', 'torsion': [8]}
  • id: 118675
    {'degree': 16, 'field': [84096, 132864, -18656, -170336, -44856, 115136, 24998, -44838, -479, 7510, -1172, -258, 134, -70, 30, -8, 1], 'lmfdb_label': '2320.e1', 'torsion': [4, 4]}
• 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: 39276
    {'conductor': 2320, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '2320.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 39277
    {'conductor': 2320, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2320.e1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 39278
    {'conductor': 2320, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2320.e1', 'prime': 29, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1679014
    {'adelic_gens': [[581, 8, 0, 1], [1, 0, 8, 1], [248, 3, 445, 2], [1, 8, 0, 1], [1, 4, 4, 17], [3, 8, 28, 75], [702, 1, 951, 4], [1153, 8, 1152, 9], [5, 8, 48, 77], [289, 1152, 576, 1127]], 'adelic_image': '1160.48.0.?', 'conductor': 2320, 'lmfdb_label': '2320.e1', 'prime': 0}
  • id: 11447
    {'conductor': 2320, 'elladic_image': '8.12.0.22', 'lmfdb_label': '2320.e1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 2320.e does not appear in ec_padic