Elliptic curve data - 11074.c2

Formats: - HTML - YAML - JSON - 2025-11-29T07:07:06.500135

• 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': '11074b', 'Clabel': '11074b1', 'Cnumber': 1, 'abc_quality': 1.0575282282301526, 'absD': 850837568, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 904, 'ainvs': [1, 1, 1, -246, -589], 'analytic_rank': 0, 'bad_primes': [2, 7, 113], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 11074, 'degree': 9216, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40553628018842990619231912656', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [13997521, 7232], 'lmfdb_iso': '11074.c', 'lmfdb_label': '11074.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5, 1], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '226.6.0.?', '904.12.0.?'], '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, 4, 5537], [3, 2, 5537], [7, 26, 226], [113, 114, 98]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56741879433922674636035724516', 'prec': 107}, 'szpiro_ratio': 3.020702152838744, '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, 2, 1, 4, 2, 0, 1, 1, 4, -4, 2, 2, 0, 8, 1, 2, 1, 2, 4], 'aplist': [1, 2, 4, 0, -4, 2, 2, 2, 4, -4, -8, -8, 6, 6, 12, 10, 6, 6, 2, -8, 14, 8, -16, 14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 11074, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '11074.c', 'trace_hash': 831658524224963457}
• 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': '0.44438118487551924196074069346', 'prec': 103}, 'conductor': 11074, 'gens': [], 'heights': [], 'lmfdb_label': '11074.c2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.2750377228396516219512414770', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.6502263370379097317074488619056905903', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-15, 7, 1]], 'xcoord_integral_points': [-15]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [4, 0], '7': 'a', '113': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '11074.c2'}
• ec_torsion_growth •

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

  
  
  • id: 574274
    {'degree': 2, 'field': [-28, -1, 1], 'lmfdb_label': '11074.c2', 'torsion': [2, 2]}
  • id: 574275
    {'degree': 4, 'field': [368, -24, 39, -2, 1], 'lmfdb_label': '11074.c2', 'torsion': [4]}
  • id: 574278
    {'degree': 8, 'field': [2424, -3024, 488, -147, 96, -49, 3, 0, 1], 'lmfdb_label': '11074.c2', 'torsion': [6]}
  • id: 574276
    {'degree': 8, 'field': [30752, 45632, 41152, -11984, 1898, -72, -45, -2, 1], 'lmfdb_label': '11074.c2', 'torsion': [2, 4]}
  • id: 574277
    {'degree': 8, 'field': [1001648, 692448, 156204, 16812, -768, -634, -47, -2, 1], 'lmfdb_label': '11074.c2', 'torsion': [2, 4]}
  • id: 574279
    {'degree': 16, 'field': [6390784, 0, 6798336, 0, 3006848, 0, 560064, 0, 20548, 0, -5088, 0, 1468, 0, -64, 0, 1], 'lmfdb_label': '11074.c2', 'torsion': [8]}
  • id: 574280
    {'degree': 16, 'field': [113550336, 0, -32693760, 0, -9503424, 0, -759888, 0, 4632, 0, 4735, 0, 96, 0, 0, 0, 1], 'lmfdb_label': '11074.c2', '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: 237009
    {'conductor': 11074, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '11074.c2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 237010
    {'conductor': 11074, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '11074.c2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 237011
    {'conductor': 11074, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11074.c2', 'prime': 113, '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: 1737402
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [458, 1, 223, 0], [793, 114, 112, 791], [453, 4, 2, 9], [901, 4, 900, 5]], 'adelic_image': '904.12.0.?', 'conductor': 11074, 'lmfdb_label': '11074.c2', 'prime': 0}
  • id: 53324
    {'conductor': 11074, 'elladic_image': '8.6.0.1', 'lmfdb_label': '11074.c2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 11074.c does not appear in ec_padic