Elliptic curve data - 825.c2

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '825c', 'Clabel': '825c2', 'Cnumber': 2, 'absD': 2076048046875, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 6, 'ainvs': [0, 1, 1, 3167, 11119], 'analytic_rank': 1, 'bad_primes': [3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 825, 'degree': 1080, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0528142912586010139522802288', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 2, 'isogeny_degrees': [1, 3], 'jinv': [8990228480, 5314683], 'lmfdb_iso': '825.c', 'lmfdb_label': '825.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 3167, 11119], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['1.1.0.1', '3.8.0.2', '6.16.0.4'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2524072734962648026370090497', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.020144317030799235781559326684', 'prec': 110}, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -2, 0, 0, -1, 0, 1, 0, -1, -2, -1, 0, 0, 4, -6, 0, -7, 0], 'aplist': [0, 1, 0, -1, -1, -1, -6, -7, 6, -6, -7, 2, -6, -1, 0, -6, 0, 5, 5, -12, 14, -4, -6, 6, 17], 'class_deg': 3, 'class_size': 2, 'conductor': 825, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '825.c', 'trace_hash': 1284217065221111086}
• 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': '0.12176910827498180919281685964', 'prec': 103}, 'conductor': 825, 'gens': [[181, 3989, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2524072734962648026370090497', 'prec': 100}], 'lmfdb_label': '825.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.50308198258933344563298817670', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2662910334982718119316468865699305626', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 2, 0], '3': [2, 1], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '825.c2'}
• ec_torsion_growth •

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

  
  
  • id: 38818
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '825.c2', 'torsion': [3]}
  • id: 38820
    {'degree': 3, 'field': [-45, 0, 0, 1], 'lmfdb_label': '825.c2', 'torsion': [3]}
  • id: 38819
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '825.c2', 'torsion': [2]}
  • id: 38821
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '825.c2', 'torsion': [2, 6]}
  • id: 38822
    {'degree': 6, 'field': [75, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '825.c2', 'torsion': [3, 3]}
  • id: 38823
    {'degree': 9, 'field': [-27, 0, 0, -33, 0, 0, -9, 0, 0, 1], 'lmfdb_label': '825.c2', 'torsion': [6]}
  • id: 38824
    {'degree': 12, 'field': [-891, 54, 1440, 576, 357, 312, 4, 32, -41, 10, 4, -4, 1], 'lmfdb_label': '825.c2', 'torsion': [4]}
  • id: 38826
    {'degree': 18, 'field': [19683, 0, 0, 0, 0, 0, 927, 0, 0, 0, 0, 0, -39, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '825.c2', 'torsion': [6, 6]}
  • id: 38825
    {'degree': 18, 'field': [1259712, 0, 0, -192456, 0, 0, 124983, 0, 0, -15246, 0, 0, 1171, 0, 0, -44, 0, 0, 1], 'lmfdb_label': '825.c2', 'torsion': [9]}
• 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: 10692
    {'conductor': 825, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '825.c2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10693
    {'conductor': 825, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '825.c2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10694
    {'conductor': 825, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '825.c2', 'prime': 11, '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: 1669808
    {'adelic_gens': [[2, 3, 1, 4], [4, 3, 3, 1], [3, 4, 2, 5]], 'adelic_image': '6.16.0.?', 'conductor': 825, 'lmfdb_label': '825.c2', 'prime': 0}
  • id: 3799
    {'conductor': 825, 'elladic_image': '3.8.0.2', 'lmfdb_label': '825.c2', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 16710
    {'lmfdb_iso': '825.c', 'p': 7, 'prec': 20, 'unit': 3747717880361747, 'val': 1}
  • id: 16714
    {'lmfdb_iso': '825.c', 'p': 13, 'prec': 20, 'unit': 110000946002778006237, 'val': 2}
  • id: 16716
    {'lmfdb_iso': '825.c', 'p': 17, 'prec': 20, 'unit': 62874337675640330882078, 'val': 1}
  • id: 16706
    {'lmfdb_iso': '825.c', 'p': 19, 'prec': 20, 'unit': 1136248402935633947079146, 'val': 1}
  • id: 16720
    {'lmfdb_iso': '825.c', 'p': 23, 'prec': 20, 'unit': 31583353740383463599912293, 'val': 1}
  • id: 16713
    {'lmfdb_iso': '825.c', 'p': 29, 'prec': 20, 'unit': 5146833425595854793282823996, 'val': 1}
  • id: 16724
    {'lmfdb_iso': '825.c', 'p': 31, 'prec': 20, 'unit': 18059208551722584286479096500, 'val': 1}
  • id: 16709
    {'lmfdb_iso': '825.c', 'p': 37, 'prec': 20, 'unit': 386907570297861429522789892414, 'val': 1}
  • id: 16711
    {'lmfdb_iso': '825.c', 'p': 41, 'prec': 20, 'unit': 257506160215607204195928235714, 'val': 1}
  • id: 16712
    {'lmfdb_iso': '825.c', 'p': 43, 'prec': 20, 'unit': 9430410537228131945991304613033, 'val': 1}
  • id: 16718
    {'lmfdb_iso': '825.c', 'p': 53, 'prec': 20, 'unit': 124223992235456072668209245269239, 'val': 1}
  • id: 16723
    {'lmfdb_iso': '825.c', 'p': 61, 'prec': 20, 'unit': 5303742322859343070722710667161141, 'val': 1}
  • id: 16708
    {'lmfdb_iso': '825.c', 'p': 67, 'prec': 20, 'unit': 25276211260109463841304110248818695, 'val': 1}
  • id: 16722
    {'lmfdb_iso': '825.c', 'p': 71, 'prec': 20, 'unit': 134233998893518821078298791675055629, 'val': 1}
  • id: 16719
    {'lmfdb_iso': '825.c', 'p': 73, 'prec': 20, 'unit': 190675358294983169149316524557309230, 'val': 1}
  • id: 16715
    {'lmfdb_iso': '825.c', 'p': 79, 'prec': 20, 'unit': 8059205178273253479505720879557675, 'val': 2}
  • id: 16717
    {'lmfdb_iso': '825.c', 'p': 83, 'prec': 20, 'unit': 293694374385909258766499087186277319, 'val': 1}
  • id: 16721
    {'lmfdb_iso': '825.c', 'p': 89, 'prec': 20, 'unit': 8353883106956925414580091100496876221, 'val': 1}
  • id: 16707
    {'lmfdb_iso': '825.c', 'p': 97, 'prec': 20, 'unit': 9016861653518316142101839982185147175, 'val': 1}