Elliptic curve data - 22800.cd4

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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': '22800dl', 'Clabel': '22800dl1', 'Cnumber': 1, 'abc_quality': 0.8898266675690951, 'absD': 14008320000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [0, 1, 0, 4992, 119988], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 22800, 'degree': 73728, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2094064381765017942646124153', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 4], 'jinv': [214921799, 218880], 'lmfdb_iso': '22800.cd', 'lmfdb_label': '22800.cd4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 12, -14], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '40.24.0-40.z.1.12', '152.24.0.?', '190.6.0.?', '380.24.0.?', '760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28845969860049370245299937277', 'prec': 107}, 'szpiro_ratio': 3.703235823330367, '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, 4, 0, 6, 0, 0, 0, 6, 0, 1, 0], 'aplist': [0, 1, 0, -4, 4, 6, 6, 1, 4, 6, 8, -2, 10, -8, 12, -2, 4, -2, -12, 16, 14, -8, 0, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 22800, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '22800.cd', 'trace_hash': 245939707617404137}
• 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': '0.089027241095955580949775228393', 'prec': 107}, 'conductor': 22800, 'gens': [], 'heights': [], 'lmfdb_label': '22800.cd4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.46510106715435718548624754428', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7208085372348574838899803542420015377', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-22, 0, 1]], 'xcoord_integral_points': [-22]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '22800.cd4'}
• ec_torsion_growth •

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

  
  
  • id: 1156491
    {'degree': 2, 'field': [-95, 0, 1], 'lmfdb_label': '22800.cd4', 'torsion': [4]}
  • id: 1156492
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '22800.cd4', 'torsion': [4]}
  • id: 1156490
    {'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '22800.cd4', 'torsion': [2, 2]}
  • id: 1156493
    {'degree': 4, 'field': [576, 0, -47, 0, 1], 'lmfdb_label': '22800.cd4', 'torsion': [2, 4]}
  • id: 1156494
    {'degree': 4, 'field': [2316, 279, -59, -1, 1], 'lmfdb_label': '22800.cd4', 'torsion': [2, 4]}
  • id: 1156498
    {'degree': 8, 'field': [-97200, 0, 19620, 0, -1080, 0, 0, 0, 1], 'lmfdb_label': '22800.cd4', 'torsion': [6]}
  • id: 1156496
    {'degree': 8, 'field': [1600, 0, -2080, 0, -31, 0, 14, 0, 1], 'lmfdb_label': '22800.cd4', 'torsion': [8]}
  • id: 1156497
    {'degree': 8, 'field': [3481, 0, -111, 0, -64, 0, 9, 0, 1], 'lmfdb_label': '22800.cd4', 'torsion': [8]}
  • id: 1156495
    {'degree': 8, 'field': [1893376, -1012736, 270848, -19680, 3281, -690, 2, -2, 1], 'lmfdb_label': '22800.cd4', 'torsion': [4, 4]}
  • id: 1156503
    {'degree': 16, 'field': [-9226968304, -2871790688, -1855885884, -891544572, 99387477, -125522280, 35774152, 787772, -258369, 1083884, -131012, 49020, -1213, 436, 84, -4, 1], 'lmfdb_label': '22800.cd4', 'torsion': [12]}
  • id: 1156499
    {'degree': 16, 'field': [676, -5876, 26126, -70914, 126721, -154042, 131088, -79022, 32172, -6734, -378, 1154, -344, 42, 14, -8, 1], 'lmfdb_label': '22800.cd4', 'torsion': [2, 8]}
  • id: 1156500
    {'degree': 16, 'field': [48400, 0, -15300, 0, 130565, 0, -20685, 0, 12891, 0, -2226, 0, 311, 0, -21, 0, 1], 'lmfdb_label': '22800.cd4', 'torsion': [2, 8]}
  • id: 1156501
    {'degree': 16, 'field': [65536, 0, -131072, 0, -104192, 0, 161536, 0, 154720, 0, 10096, 0, -407, 0, -32, 0, 1], 'lmfdb_label': '22800.cd4', 'torsion': [2, 8]}
  • id: 1156504
    {'degree': 16, 'field': [68121, 0, 318564, 0, -326096, 0, 141216, 0, -17850, 0, 1316, 0, -336, 0, 24, 0, 1], 'lmfdb_label': '22800.cd4', 'torsion': [12]}
  • id: 1156502
    {'degree': 16, 'field': [589824, 0, 1840128, 0, 2160640, 0, 230016, 0, 7680, 0, -2396, 0, -192, 0, 0, 0, 1], 'lmfdb_label': '22800.cd4', '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: 521499
    {'conductor': 22800, 'conductor_valuation': 4, 'discriminant_valuation': 20, 'j_denominator_valuation': 8, 'kodaira_symbol': -16, 'lmfdb_label': '22800.cd4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 521500
    {'conductor': 22800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '22800.cd4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 521501
    {'conductor': 22800, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '22800.cd4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 521502
    {'conductor': 22800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '22800.cd4', 'prime': 19, '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: 1816349
    {'adelic_gens': [[452, 759, 129, 754], [99, 98, 298, 675], [753, 8, 752, 9], [1, 0, 8, 1], [7, 6, 754, 755], [1, 8, 0, 1], [168, 3, 485, 2], [1, 4, 4, 17], [471, 472, 82, 465]], 'adelic_image': '760.48.0.?', 'conductor': 22800, 'lmfdb_label': '22800.cd4', 'prime': 0}
  • id: 105020
    {'conductor': 22800, 'elladic_image': '4.12.0.8', 'lmfdb_label': '22800.cd4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 22800.cd does not appear in ec_padic