Elliptic curve data - 200400.m2

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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': '200400bj', 'Clabel': '200400bj2', 'Cnumber': 2, 'abc_quality': 0.8558694017705553, 'absD': 406621620000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 10020, 'ainvs': [0, -1, 0, -36908, 2908812], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 167], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 200400, 'degree': 705024, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5525133679326780995708812636', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [-1390071129424, 101655405], 'lmfdb_iso': '200400.m', 'lmfdb_label': '200400.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1476, -22680], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.a.1', '2004.6.0.?', '10020.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28569629134233103932568018268', 'prec': 103}, 'szpiro_ratio': 3.5452923330235344, '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, 0, 0, 1, 0, 2, 0, -4, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, -1, 0, 0, 2, -4, -2, 4, 0, -10, 4, -4, 6, -8, 8, -2, -12, 10, 0, 8, -16, 14, 12, 6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 200400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '200400.m', 'trace_hash': 1210929202837747358}
• 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': '0.044823320152994299527597577149', 'prec': 107}, 'conductor': 200400, 'gens': [], 'heights': [], 'lmfdb_label': '200400.m2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.52271939860410473637564996746', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0454387972082094727512999349175677236', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-223, 0, 1]], 'xcoord_integral_points': [-223]}
• lmfdb_label 200400.m2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8782449
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '200400.m2', 'torsion': [2, 2]}
  • id: 8782450
    {'degree': 4, 'field': [-245, 0, 32, 0, 1], 'lmfdb_label': '200400.m2', 'torsion': [4]}
  • id: 8782453
    {'degree': 8, 'field': [-75, 0, -1340, 0, 30, 0, 0, 0, 1], 'lmfdb_label': '200400.m2', 'torsion': [6]}
  • id: 8782451
    {'degree': 8, 'field': [17496, -1104, -3160, -976, 824, -16, -20, -4, 1], 'lmfdb_label': '200400.m2', 'torsion': [2, 4]}
  • id: 8782452
    {'degree': 8, 'field': [144400, 0, 8160, 0, 1004, 0, 84, 0, 1], 'lmfdb_label': '200400.m2', 'torsion': [2, 4]}
  • id: 8782455
    {'degree': 16, 'field': [1144614, -3668310, 5168657, -3489400, 3043130, -1781552, 993271, -398672, 175275, -58860, 20847, -5756, 1657, -350, 70, -8, 1], 'lmfdb_label': '200400.m2', 'torsion': [2, 6]}
  • id: 8782454
    {'degree': 16, 'field': [58961552400, 0, -60229608480, 0, 7322727456, 0, -662182176, 0, -2835236, 0, 1561408, 0, 19656, 0, -140, 0, 1], 'lmfdb_label': '200400.m2', 'torsion': [8]}
• 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: 4958619
    {'conductor': 200400, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '200400.m2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4958620
    {'conductor': 200400, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '200400.m2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4958621
    {'conductor': 200400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '200400.m2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4958622
    {'conductor': 200400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '200400.m2', 'prime': 167, 'reduction_type': -1, '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: 2947222
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [4681, 4, 9362, 9], [1, 4, 0, 1], [3341, 4, 6682, 9], [6014, 1, 2003, 0], [10017, 4, 10016, 5], [7516, 2509, 2505, 7516]], 'adelic_image': '10020.12.0.?', 'conductor': 200400, 'lmfdb_label': '200400.m2', 'prime': 0}
  • id: 742519
    {'conductor': 200400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '200400.m2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 200400.m does not appear in ec_padic