Elliptic curve data - 11616.h2

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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': '11616p', 'Clabel': '11616p1', 'Cnumber': 1, 'abc_quality': 0.8325981364668273, 'absD': 452725956672, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [0, -1, 0, -2218, -23120], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 11616, 'degree': 12672, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93625395104342161463474346503', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [8000, 3], 'lmfdb_iso': '11616.h', 'lmfdb_label': '11616.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -18, 24], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.i.1', '66.6.0.a.1', '88.6.0.?', '264.12.0.?'], '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, 33], [3, 4, 3872], [11, 42, 96]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2087410938353289481203302792', 'prec': 103}, 'szpiro_ratio': 3.7101092552926964, '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, 0, 0, -4, 0, 1, 0, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0], 'aplist': [0, -1, 0, -4, 0, 2, -2, 2, -6, -2, 8, -2, -6, 2, -6, 4, -4, 10, -12, -10, 12, -8, -8, 2, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 11616, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '11616.h', 'trace_hash': 1343944718944086318}
• 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': '0.15373761904310711387790504255', 'prec': 103}, 'conductor': 11616, 'gens': [], 'heights': [], 'lmfdb_label': '11616.h2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.71778838366943238551612750560', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.71778838366943238551612750559628943050', 'prec': 133}, 'tamagawa_product': 4, 'torsion_generators': [[-40, 0, 1]], 'xcoord_integral_points': [-40]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '11616.h2'}
• ec_torsion_growth •

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

  
  
  • id: 601131
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '11616.h2', 'torsion': [2, 2]}
  • id: 601132
    {'degree': 4, 'field': [99, -44, 0, 0, 1], 'lmfdb_label': '11616.h2', 'torsion': [4]}
  • id: 601133
    {'degree': 8, 'field': [16, 0, -164, 0, 57, 0, -8, 0, 1], 'lmfdb_label': '11616.h2', 'torsion': [2, 4]}
  • id: 601134
    {'degree': 8, 'field': [144, 0, 114, 0, 61, 0, 4, 0, 1], 'lmfdb_label': '11616.h2', 'torsion': [2, 4]}
  • id: 601135
    {'degree': 8, 'field': [345, -924, 68, 0, 186, -44, -12, 0, 1], 'lmfdb_label': '11616.h2', 'torsion': [6]}
  • id: 601136
    {'degree': 16, 'field': [55696, 0, 19328, 0, 22752, 0, 6592, 0, -152, 0, -416, 0, 168, 0, -16, 0, 1], 'lmfdb_label': '11616.h2', 'torsion': [8]}
  • id: 601137
    {'degree': 16, 'field': [76176, 0, -737088, 0, -155456, 0, 8448, 0, 7464, 0, 176, 0, -48, 0, 0, 0, 1], 'lmfdb_label': '11616.h2', 'torsion': [2, 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: 249771
    {'conductor': 11616, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '11616.h2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 249772
    {'conductor': 11616, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11616.h2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 249773
    {'conductor': 11616, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '11616.h2', 'prime': 11, 'reduction_type': 0, '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: 1741030
    {'adelic_gens': [[178, 1, 175, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [52, 1, 119, 0], [261, 4, 260, 5], [169, 100, 32, 231], [133, 4, 2, 9]], 'adelic_image': '264.12.0.?', 'conductor': 11616, 'lmfdb_label': '11616.h2', 'prime': 0}
  • id: 55719
    {'conductor': 11616, 'elladic_image': '2.3.0.1', 'lmfdb_label': '11616.h2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 11616.h does not appear in ec_padic