Elliptic curve data - 320.c1

Formats: - HTML - YAML - JSON - 2025-04-29T01:07:00.797629

• 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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '320b', 'Clabel': '320b3', 'Cnumber': 3, 'abc_quality': 1.1363232938776144, 'absD': 327680, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 80, 'ainvs': [0, 0, 0, -428, -3408], 'analytic_rank': 1, 'bad_primes': [2, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 320, 'degree': 64, 'elladic_images': ['16.48.0.216'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.14435980828378274197013612451', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [132304644, 5], 'lmfdb_iso': '320.c', 'lmfdb_label': '320.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -107, -426], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.o.1.5', '10.6.0.a.1', '16.48.0-16.i.1.5', '20.12.0.g.1', '40.96.0-40.bq.1.1', '80.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8888213522577024586640307689', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5], [5, 6, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77983643246281100391950670410', 'prec': 107}, 'szpiro_ratio': 5.1645830114503815, '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, -1, 0, -4, 0, -3, 0, -4, 0, 2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, -1, -4, -4, 2, 2, -4, 4, 2, -8, -6, -6, 8, 4, -6, 4, 2, -8, 0, -6, 0, 16, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 320, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '320.c', 'trace_hash': 971571875835069198}
• 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': '0.74922224546025562003508944220', 'prec': 103}, 'conductor': 320, 'gens': [[24, 12, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8888213522577024586640307689', 'prec': 100}], 'lmfdb_label': '320.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0496381260348652101600003978', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5161085153166400206694335278852594000', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[-12, 0, 1]], 'xcoord_integral_points': [-12, 24]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 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, 0]}, 'iwp0': 0, 'lmfdb_label': '320.c1'}
• ec_torsion_growth •

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

  
  
  • id: 13374
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '320.c1', 'torsion': [2, 2]}
  • id: 13375
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '320.c1', 'torsion': [4]}
  • id: 13376
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '320.c1', 'torsion': [4]}
  • id: 13377
    {'degree': 4, 'field': [4, 0, 6, 0, 1], 'lmfdb_label': '320.c1', 'torsion': [2, 4]}
  • id: 13381
    {'degree': 8, 'field': [-3, 0, 6, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '320.c1', 'torsion': [6]}
  • id: 13378
    {'degree': 8, 'field': [1, 0, -8, 0, -1, 0, -2, 0, 1], 'lmfdb_label': '320.c1', 'torsion': [2, 4]}
  • id: 13379
    {'degree': 8, 'field': [2, -8, 8, 4, -8, 0, 6, -4, 1], 'lmfdb_label': '320.c1', 'torsion': [8]}
  • id: 13380
    {'degree': 8, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'lmfdb_label': '320.c1', 'torsion': [2, 8]}
  • id: 13382
    {'degree': 16, 'field': [1, 0, 0, 0, -36, 0, 0, 0, 646, 0, 0, 0, -36, 0, 0, 0, 1], 'lmfdb_label': '320.c1', 'torsion': [4, 4]}
  • id: 13383
    {'degree': 16, 'field': [1, 4, 2, -8, 2, -36, 126, -204, 199, -128, 74, -68, 72, -56, 28, -8, 1], 'lmfdb_label': '320.c1', 'torsion': [2, 8]}
  • id: 13386
    {'degree': 16, 'field': [9, 0, -54, 0, -90, 0, 108, 0, -105, 0, 108, 0, 42, 0, 0, 0, 1], 'lmfdb_label': '320.c1', 'torsion': [2, 6]}
  • id: 13385
    {'degree': 16, 'field': [17, -24, 84, -192, 308, -512, 764, -920, 982, -952, 780, -512, 268, -112, 36, -8, 1], 'lmfdb_label': '320.c1', 'torsion': [16]}
  • id: 13387
    {'degree': 16, 'field': [25, 0, 100, 0, 100, 0, -68, 0, -98, 0, 28, 0, 4, 0, 4, 0, 1], 'lmfdb_label': '320.c1', 'torsion': [12]}
  • id: 13384
    {'degree': 16, 'field': [1721, 1144, -1460, -1360, 4, 384, 1452, -1880, 1326, -1096, 932, -592, 284, -112, 36, -8, 1], 'lmfdb_label': '320.c1', 'torsion': [16]}
  • id: 13388
    {'degree': 16, 'field': [1764, 0, 4464, 0, -180, 0, -288, 0, 120, 0, -108, 0, 12, 0, 0, 0, 1], 'lmfdb_label': '320.c1', 'torsion': [12]}
• 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: 2977
    {'conductor': 320, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '320.c1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2978
    {'conductor': 320, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '320.c1', 'prime': 5, '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: 1667093
    {'adelic_gens': [[33, 30, 38, 57], [15, 6, 34, 35], [65, 16, 64, 17], [1, 8, 8, 65], [1, 0, 16, 1], [56, 9, 71, 26], [1, 16, 0, 1], [21, 66, 32, 3]], 'adelic_image': '80.192.3.?', 'conductor': 320, 'lmfdb_label': '320.c1', 'prime': 0}
  • id: 1294
    {'conductor': 320, 'elladic_image': '16.48.0.216', 'lmfdb_label': '320.c1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3548
    {'lmfdb_iso': '320.c', 'p': 7, 'prec': 20, 'unit': 7082179443523715, 'val': 1}
  • id: 3546
    {'lmfdb_iso': '320.c', 'p': 11, 'prec': 20, 'unit': 30520976350301497666, 'val': 1}
  • id: 3552
    {'lmfdb_iso': '320.c', 'p': 13, 'prec': 20, 'unit': 1235534910997243523564, 'val': 1}
  • id: 3554
    {'lmfdb_iso': '320.c', 'p': 17, 'prec': 20, 'unit': 103328718452063962389640, 'val': 1}
  • id: 3555
    {'lmfdb_iso': '320.c', 'p': 19, 'prec': 20, 'unit': 1311734103107924185300559, 'val': 1}
  • id: 3558
    {'lmfdb_iso': '320.c', 'p': 23, 'prec': 20, 'unit': 58354208061993463597220397, 'val': 1}
  • id: 3551
    {'lmfdb_iso': '320.c', 'p': 29, 'prec': 20, 'unit': 5673221001717859858165118730, 'val': 1}
  • id: 3563
    {'lmfdb_iso': '320.c', 'p': 31, 'prec': 20, 'unit': 20924389529762472083360238417, 'val': 1}
  • id: 3547
    {'lmfdb_iso': '320.c', 'p': 37, 'prec': 20, 'unit': 595537504211320926048195232702, 'val': 1}
  • id: 3549
    {'lmfdb_iso': '320.c', 'p': 41, 'prec': 20, 'unit': 3474230272332535317543572618479, 'val': 1}
  • id: 3550
    {'lmfdb_iso': '320.c', 'p': 43, 'prec': 20, 'unit': 1552396231495596303611272972572, 'val': 1}
  • id: 3553
    {'lmfdb_iso': '320.c', 'p': 47, 'prec': 20, 'unit': 48175846397724683042775705187247, 'val': 1}
  • id: 3556
    {'lmfdb_iso': '320.c', 'p': 53, 'prec': 20, 'unit': 177869094119749003741375396793252, 'val': 1}
  • id: 3560
    {'lmfdb_iso': '320.c', 'p': 59, 'prec': 20, 'unit': 2490728566105690539427503356118774, 'val': 1}
  • id: 3561
    {'lmfdb_iso': '320.c', 'p': 61, 'prec': 20, 'unit': 7351303351354795189741264474769352, 'val': 1}
  • id: 3545
    {'lmfdb_iso': '320.c', 'p': 67, 'prec': 20, 'unit': 28935211101193013860308911924858033, 'val': 1}
  • id: 3557
    {'lmfdb_iso': '320.c', 'p': 73, 'prec': 20, 'unit': 168983298055699367030209917125841081, 'val': 1}
  • id: 3562
    {'lmfdb_iso': '320.c', 'p': 83, 'prec': 20, 'unit': 2236762835720496421712929161152448262, 'val': 1}
  • id: 3559
    {'lmfdb_iso': '320.c', 'p': 89, 'prec': 20, 'unit': 1386924426205889079829607374634171565, 'val': 1}
  • id: 3544
    {'lmfdb_iso': '320.c', 'p': 97, 'prec': 20, 'unit': 21543825089234432354669901565995075185, 'val': 1}