Elliptic curve data - 3600.n1

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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': '3600u', 'Clabel': '3600u2', 'Cnumber': 2, 'abc_quality': 1.013438728972183, 'absD': 136048896000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [0, 0, 0, -1515, -14150], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3600, 'degree': 3072, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.83750681700250301244004697912', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [2060602, 729], 'lmfdb_iso': '3600.n', 'lmfdb_label': '3600.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -168, -468], 'min_quad_twist_disc': 12, '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': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0777668270936411083064281442', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74954372095336012720689491732', 'prec': 107}, 'szpiro_ratio': 4.10115888833837, '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, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 6, 0, -8, 0], 'aplist': [0, 0, 0, -2, 2, -2, 6, -8, 4, -8, 0, 10, -2, -12, 0, 10, -6, 2, -8, -4, -4, 8, -4, -6, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 3600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3600.n', 'trace_hash': 759287996204382033}
• 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': '0.18730562573870921021481521841', 'prec': 103}, 'conductor': 3600, 'gens': [[-25, 90, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0777668270936411083064281442', 'prec': 100}], 'lmfdb_label': '3600.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.78756624608696863354645035518', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3952510966848077054968017073999398116', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-10, 0, 1]], 'xcoord_integral_points': [-25, -10, 54, 71]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '3600.n1'}
• ec_torsion_growth •

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

  
  
  • id: 187547
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '3600.n1', 'torsion': [2, 2]}
  • id: 187548
    {'degree': 4, 'field': [10, 0, 5, 0, 1], 'lmfdb_label': '3600.n1', 'torsion': [4]}
  • id: 187551
    {'degree': 8, 'field': [-9, 16, 4, -18, 4, 4, 6, -2, 1], 'lmfdb_label': '3600.n1', 'torsion': [6]}
  • id: 187550
    {'degree': 8, 'field': [16, -16, 28, -40, 36, -20, 7, -2, 1], 'lmfdb_label': '3600.n1', 'torsion': [2, 4]}
  • id: 187549
    {'degree': 8, 'field': [1296, 0, -672, 0, 64, 0, -8, 0, 1], 'lmfdb_label': '3600.n1', 'torsion': [2, 4]}
  • id: 187553
    {'degree': 16, 'field': [-54, 336, 1464, 1224, 1506, 228, -564, -416, 836, 704, -490, -244, 122, 32, -10, -4, 1], 'lmfdb_label': '3600.n1', 'torsion': [2, 6]}
  • id: 187552
    {'degree': 16, 'field': [256, 0, 176, 0, 322, 0, -37, 0, 85, 0, -28, 0, 22, 0, -1, 0, 1], 'lmfdb_label': '3600.n1', '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: 66222
    {'conductor': 3600, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '3600.n1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 66223
    {'conductor': 3600, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '3600.n1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 66224
    {'conductor': 3600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '3600.n1', '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: 1687407
    {'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': 3600, 'lmfdb_label': '3600.n1', 'prime': 0}
  • id: 18032
    {'conductor': 3600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3600.n1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 121951
    {'lmfdb_iso': '3600.n', 'p': 7, 'prec': 20, 'unit': 1426757826153697, 'val': 2}
  • id: 121957
    {'lmfdb_iso': '3600.n', 'p': 11, 'prec': 20, 'unit': 19004916311587538817, 'val': 1}
  • id: 121955
    {'lmfdb_iso': '3600.n', 'p': 13, 'prec': 20, 'unit': 800406066227725044046, 'val': 1}
  • id: 121958
    {'lmfdb_iso': '3600.n', 'p': 17, 'prec': 20, 'unit': 48883949403380554237754, 'val': 1}
  • id: 121959
    {'lmfdb_iso': '3600.n', 'p': 19, 'prec': 20, 'unit': 759642225286898422400046, 'val': 1}
  • id: 121962
    {'lmfdb_iso': '3600.n', 'p': 23, 'prec': 20, 'unit': 11840230895569699470273940, 'val': 1}
  • id: 121954
    {'lmfdb_iso': '3600.n', 'p': 29, 'prec': 20, 'unit': 5103885651581716923670939485, 'val': 1}
  • id: 121950
    {'lmfdb_iso': '3600.n', 'p': 37, 'prec': 20, 'unit': 3185428269000631220619659516, 'val': 1}
  • id: 121952
    {'lmfdb_iso': '3600.n', 'p': 41, 'prec': 20, 'unit': 4269764072532877648856818185887, 'val': 1}
  • id: 121953
    {'lmfdb_iso': '3600.n', 'p': 43, 'prec': 20, 'unit': 4675734677916100581040819371824, 'val': 1}
  • id: 121960
    {'lmfdb_iso': '3600.n', 'p': 53, 'prec': 20, 'unit': 323195753934587509688020619306375, 'val': 1}
  • id: 121965
    {'lmfdb_iso': '3600.n', 'p': 59, 'prec': 20, 'unit': 297017475363630555162983995577782, 'val': 1}
  • id: 121966
    {'lmfdb_iso': '3600.n', 'p': 61, 'prec': 20, 'unit': 522096345943248652326016778675464, 'val': 1}
  • id: 121949
    {'lmfdb_iso': '3600.n', 'p': 67, 'prec': 20, 'unit': 15056996661218605916428076838770149, 'val': 1}
  • id: 121964
    {'lmfdb_iso': '3600.n', 'p': 71, 'prec': 20, 'unit': 58741254848796309676359334536874284, 'val': 1}
  • id: 121961
    {'lmfdb_iso': '3600.n', 'p': 73, 'prec': 20, 'unit': 160463271085648385580219790222675496, 'val': 1}
  • id: 121956
    {'lmfdb_iso': '3600.n', 'p': 79, 'prec': 20, 'unit': 408905475844331009504456326338267332, 'val': 1}
  • id: 121948
    {'lmfdb_iso': '3600.n', 'p': 83, 'prec': 20, 'unit': 1084028817758741918658259700058926636, 'val': 1}
  • id: 121963
    {'lmfdb_iso': '3600.n', 'p': 89, 'prec': 20, 'unit': 1447653243847250109797413118223871364, 'val': 1}
  • id: 121947
    {'lmfdb_iso': '3600.n', 'p': 97, 'prec': 20, 'unit': 33088549258950835383107677287895651669, 'val': 1}