Elliptic curve data - 11200.ca2

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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': '11200n', 'Clabel': '11200n3', 'Cnumber': 3, 'abc_quality': 1.1170620055320515, 'absD': 4917248000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 280, 'ainvs': [0, 0, 0, -5900, -138000], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 11200, 'degree': 16384, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1492597196984353536624521903', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 52, 'isogeny_degrees': [1, 2, 4], 'jinv': [11090466, 2401], 'lmfdb_iso': '11200.ca', 'lmfdb_label': '11200.ca2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -59, -138], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '20.12.0-4.c.1.1', '40.24.0-8.k.1.1', '56.24.0.v.1', '280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 25], [5, 14, 448], [7, 8, 1600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63741774231187068864567298171', 'prec': 107}, 'szpiro_ratio': 4.039367516266103, '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, 1, 0, -3, 0, 4, 0, 2, 0, 0, 0, 6, 0, -8, 0], 'aplist': [0, 0, 0, 1, 4, 2, 6, -8, 0, -6, 8, -2, 2, -4, 8, 6, 0, 6, -4, -8, -10, 16, 8, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 11200, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '11200.ca', 'trace_hash': 2145236981541795939}
• 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': '0.10040739295787181528074062214', 'prec': 103}, 'conductor': 11200, 'gens': [], 'heights': [], 'lmfdb_label': '11200.ca2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.55311291933913859630006008265', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2124516773565543852002403306013320155', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-60, 0, 1]], 'xcoord_integral_points': [-60]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': 'a', '7': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '11200.ca2'}
• ec_torsion_growth •

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

  
  
  • id: 581078
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '11200.ca2', 'torsion': [2, 2]}
  • id: 581080
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '11200.ca2', 'torsion': [4]}
  • id: 581079
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '11200.ca2', 'torsion': [4]}
  • id: 581081
    {'degree': 4, 'field': [9, 0, 4, 0, 1], 'lmfdb_label': '11200.ca2', 'torsion': [2, 4]}
  • id: 581085
    {'degree': 8, 'field': [-1875, 0, 750, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '11200.ca2', 'torsion': [6]}
  • id: 581082
    {'degree': 8, 'field': [4, 0, 0, 0, -14, 0, 0, 0, 1], 'lmfdb_label': '11200.ca2', 'torsion': [2, 4]}
  • id: 581083
    {'degree': 8, 'field': [176, 288, 144, -120, 30, 20, -11, -2, 1], 'lmfdb_label': '11200.ca2', 'torsion': [8]}
  • id: 581084
    {'degree': 8, 'field': [1225, 0, -420, 0, 36, 0, 12, 0, 1], 'lmfdb_label': '11200.ca2', 'torsion': [8]}
  • id: 581089
    {'degree': 16, 'field': [-46991, 150332, -166012, 94668, 32984, -4424, -4340, 120, 1018, -324, 592, -196, -184, 72, 8, -8, 1], 'lmfdb_label': '11200.ca2', 'torsion': [2, 6]}
  • id: 581086
    {'degree': 16, 'field': [1, 0, -12, 0, 72, 0, -168, 0, 223, 0, -168, 0, 72, 0, -12, 0, 1], 'lmfdb_label': '11200.ca2', 'torsion': [4, 4]}
  • id: 581088
    {'degree': 16, 'field': [196, -784, 952, -280, 592, -544, 24, -148, 21, 184, 106, -104, 2, 0, 10, -4, 1], 'lmfdb_label': '11200.ca2', 'torsion': [2, 8]}
  • id: 581087
    {'degree': 16, 'field': [6561, 0, -8100, 0, 7568, 0, 6800, 0, 1423, 0, -240, 0, 128, 0, 20, 0, 1], 'lmfdb_label': '11200.ca2', 'torsion': [2, 8]}
  • id: 581091
    {'degree': 16, 'field': [252004, 0, 639016, 0, 539332, 0, 222832, 0, 49660, 0, 7108, 0, 688, 0, 40, 0, 1], 'lmfdb_label': '11200.ca2', 'torsion': [12]}
  • id: 581090
    {'degree': 16, 'field': [9553579, -20053964, 20732250, -14043736, 7135262, -2862060, 921820, -238556, 45444, -1940, -2942, 1332, -268, -4, 24, -8, 1], 'lmfdb_label': '11200.ca2', 'torsion': [12]}
• 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: 240274
    {'conductor': 11200, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '11200.ca2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 240275
    {'conductor': 11200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '11200.ca2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 240276
    {'conductor': 11200, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '11200.ca2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1738356
    {'adelic_gens': [[144, 55, 85, 154], [273, 8, 272, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [211, 260, 250, 181], [241, 120, 180, 201], [223, 0, 0, 279], [7, 6, 274, 275]], 'adelic_image': '280.48.0.?', 'conductor': 11200, 'lmfdb_label': '11200.ca2', 'prime': 0}
  • id: 53965
    {'conductor': 11200, 'elladic_image': '8.12.0.15', 'lmfdb_label': '11200.ca2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 11200.ca does not appear in ec_padic