Elliptic curve data - 2400.c1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2400y', 'Clabel': '2400y2', 'Cnumber': 2, 'abc_quality': 0.9205975042712252, 'absD': 576000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [0, -1, 0, -48, -108], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 2400, 'degree': 384, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.13318262059056407502432505655', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [195112, 9], 'lmfdb_iso': '2400.c', 'lmfdb_label': '2400.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -48, -108], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.j.1', '40.6.0.b.1', '60.6.0.c.1', '120.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.70305058371552009762356507410', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 4, 5], [3, 4, 800], [5, 10, 96]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0554024841190481507374389810', 'prec': 97}, 'szpiro_ratio': 2.986932837238967, '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, -2, 0, 1, 0, -6, 0, 2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, -1, 0, -2, -6, 2, 6, 4, 8, 0, -8, -2, -6, -4, 4, -6, -6, -6, 0, -4, -12, -8, -12, 14, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 2400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '2400.c', 'trace_hash': 730511737168197505}
• 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': '1.3052116886979775192205850960', 'prec': 97}, 'conductor': 2400, 'gens': [[-4, 2, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.70305058371552009762356507410', 'prec': 97}], 'lmfdb_label': '2400.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.8158357428474861052661406057', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5532487578808603087647031736127030224', 'prec': 127}, 'tamagawa_product': 8, 'torsion_generators': [[-3, 0, 1]], 'xcoord_integral_points': [-4, -3, 12, 13, 4332]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 3, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2400.c1'}
• ec_torsion_growth •

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

  
  
  • id: 123164
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '2400.c1', 'torsion': [2, 2]}
  • id: 123165
    {'degree': 4, 'field': [10, 0, 5, 0, 1], 'lmfdb_label': '2400.c1', 'torsion': [4]}
  • id: 123168
    {'degree': 8, 'field': [-75, 0, -800, 0, 30, 0, 0, 0, 1], 'lmfdb_label': '2400.c1', 'torsion': [6]}
  • id: 123166
    {'degree': 8, 'field': [1, 0, -108, 0, 64, 0, -12, 0, 1], 'lmfdb_label': '2400.c1', 'torsion': [2, 4]}
  • id: 123167
    {'degree': 8, 'field': [16, -16, 28, -40, 36, -20, 7, -2, 1], 'lmfdb_label': '2400.c1', 'torsion': [2, 4]}
  • id: 123169
    {'degree': 16, 'field': [256, 0, -384, 0, 832, 0, -912, 0, 660, 0, -228, 0, 52, 0, -6, 0, 1], 'lmfdb_label': '2400.c1', 'torsion': [8]}
  • id: 123170
    {'degree': 16, 'field': [2601, 0, -181752, 0, -63044, 0, -39816, 0, -22146, 0, -4008, 0, -276, 0, -24, 0, 1], 'lmfdb_label': '2400.c1', '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: 40986
    {'conductor': 2400, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2400.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 40987
    {'conductor': 2400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2400.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 40988
    {'conductor': 2400, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '2400.c1', 'prime': 5, 'reduction_type': 0, '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: 1679540
    {'adelic_gens': [[41, 4, 82, 9], [2, 1, 59, 0], [1, 2, 2, 5], [117, 4, 116, 5], [3, 4, 8, 11], [28, 1, 23, 0], [17, 106, 104, 15], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '120.12.0.?', 'conductor': 2400, 'lmfdb_label': '2400.c1', 'prime': 0}
  • id: 11847
    {'conductor': 2400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2400.c1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 73450
    {'lmfdb_iso': '2400.c', 'p': 7, 'prec': 20, 'unit': 5887672071220343, 'val': 1}
  • id: 73448
    {'lmfdb_iso': '2400.c', 'p': 11, 'prec': 20, 'unit': 61034896516686399991, 'val': 1}
  • id: 73453
    {'lmfdb_iso': '2400.c', 'p': 13, 'prec': 20, 'unit': 1198351393420610346806, 'val': 1}
  • id: 73455
    {'lmfdb_iso': '2400.c', 'p': 17, 'prec': 20, 'unit': 164304316866641120223587, 'val': 1}
  • id: 73446
    {'lmfdb_iso': '2400.c', 'p': 19, 'prec': 20, 'unit': 1454281935988776928424643, 'val': 1}
  • id: 73460
    {'lmfdb_iso': '2400.c', 'p': 23, 'prec': 20, 'unit': 13097636516316045980259934, 'val': 1}
  • id: 73465
    {'lmfdb_iso': '2400.c', 'p': 31, 'prec': 20, 'unit': 491848714794467243914090019, 'val': 2}
  • id: 73449
    {'lmfdb_iso': '2400.c', 'p': 37, 'prec': 20, 'unit': 222170292083821696701257581635, 'val': 1}
  • id: 73451
    {'lmfdb_iso': '2400.c', 'p': 41, 'prec': 20, 'unit': 4103280046921480253772816745777, 'val': 1}
  • id: 73452
    {'lmfdb_iso': '2400.c', 'p': 43, 'prec': 20, 'unit': 1757122050203260212615636372132, 'val': 1}
  • id: 73463
    {'lmfdb_iso': '2400.c', 'p': 47, 'prec': 20, 'unit': 4204014651302198985722585659323, 'val': 1}
  • id: 73457
    {'lmfdb_iso': '2400.c', 'p': 53, 'prec': 20, 'unit': 206276592572077805217766638999946, 'val': 1}
  • id: 73458
    {'lmfdb_iso': '2400.c', 'p': 59, 'prec': 20, 'unit': 495729405305798545735254514786758, 'val': 1}
  • id: 73464
    {'lmfdb_iso': '2400.c', 'p': 61, 'prec': 20, 'unit': 3951504029497964877509880754803888, 'val': 1}
  • id: 73462
    {'lmfdb_iso': '2400.c', 'p': 71, 'prec': 20, 'unit': 17409870555420735932926260110752782, 'val': 1}
  • id: 73459
    {'lmfdb_iso': '2400.c', 'p': 73, 'prec': 20, 'unit': 115609604450109569129079303343738682, 'val': 1}
  • id: 73454
    {'lmfdb_iso': '2400.c', 'p': 79, 'prec': 20, 'unit': 68093541520489068838776831993259979, 'val': 1}
  • id: 73456
    {'lmfdb_iso': '2400.c', 'p': 83, 'prec': 20, 'unit': 311779331987033743310951203361187476, 'val': 1}
  • id: 73461
    {'lmfdb_iso': '2400.c', 'p': 89, 'prec': 20, 'unit': 9367794821684887774869165099882348237, 'val': 1}
  • id: 73447
    {'lmfdb_iso': '2400.c', 'p': 97, 'prec': 20, 'unit': 16369199279654844943159768400486553214, 'val': 1}