Elliptic curve data - 35280.bi3

Formats: - HTML - YAML - JSON - 2025-10-26T01:50:19.899598

• 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': '35280be', 'Clabel': '35280be1', 'Cnumber': 1, 'abc_quality': 1.1312171453358946, 'absD': 44678252620181250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, -12344178, 16690170427], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 35280, 'degree': 1474560, 'elladic_images': ['8.12.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7653505496132286071879052487', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [151591373397612544, 32558203125], 'lmfdb_iso': '35280.bi', 'lmfdb_label': '35280.bi3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -27991, -1811530], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.1', '12.12.0-4.c.1.1', '24.24.0-24.z.1.5', '28.12.0-4.c.1.1', '42.6.0.a.1', '56.24.0-56.ba.1.7', '84.24.0.?', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.9918621697687494362179306712', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 3920], [5, 6, 7056], [7, 32, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0120402705648686724651955514', 'prec': 100}, 'szpiro_ratio': 5.787343563913052, '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, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -1, 0, 0, -6, -2, 4, 4, -6, 0, 6, -2, 4, -8, 2, 12, -6, 4, -12, -10, 8, 12, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 35280, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '35280.bi', 'trace_hash': 1524984273938435503}
• 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': '0.0039632095117022010037023694366', 'prec': 110}, 'conductor': 35280, 'gens': [[-2281, 181602, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.9918621697687494362179306712', 'prec': 100}], 'lmfdb_label': '35280.bi3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.19681917848782576449692606881', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7172535594646658314081078139729603814', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[2051, 0, 1]], 'xcoord_integral_points': [-2281, 2051]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 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, 0]}, 'iwp0': 0, 'lmfdb_label': '35280.bi3'}
• ec_torsion_growth •

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

  
  
  • id: 1748910
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '35280.bi3', 'torsion': [4]}
  • id: 1748908
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '35280.bi3', 'torsion': [2, 2]}
  • id: 1748909
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '35280.bi3', 'torsion': [4]}
  • id: 1748911
    {'degree': 4, 'field': [1, 0, -5, 0, 1], 'lmfdb_label': '35280.bi3', 'torsion': [2, 4]}
  • id: 1748915
    {'degree': 8, 'field': [-4710, 268, 1186, -192, 148, 154, 6, -2, 1], 'lmfdb_label': '35280.bi3', 'torsion': [6]}
  • id: 1748913
    {'degree': 8, 'field': [1, 2, -20, -16, 63, 16, -20, -2, 1], 'lmfdb_label': '35280.bi3', 'torsion': [2, 8]}
  • id: 1748914
    {'degree': 8, 'field': [49, 0, -28, 0, -6, 0, 5, 0, 1], 'lmfdb_label': '35280.bi3', 'torsion': [8]}
  • id: 1748912
    {'degree': 8, 'field': [441, 0, 0, 0, 21, 0, 0, 0, 1], 'lmfdb_label': '35280.bi3', 'torsion': [2, 4]}
  • id: 1748920
    {'degree': 16, 'field': [-2495772, 6365232, 1385184, -5376120, -431988, 2122776, 106956, -496536, -13700, 73600, -452, -6820, 332, 356, -32, -8, 1], 'lmfdb_label': '35280.bi3', 'torsion': [12]}
  • id: 1748918
    {'degree': 16, 'field': [-317495, 1131112, -387900, -1102464, -340398, 886344, -11408, -201512, 2331, 25512, 864, -2568, -118, 224, -12, -8, 1], 'lmfdb_label': '35280.bi3', 'torsion': [2, 6]}
  • id: 1748917
    {'degree': 16, 'field': [1, 0, 1, 0, 4, 0, -5, 0, 7, 0, -5, 0, 4, 0, 1, 0, 1], 'lmfdb_label': '35280.bi3', 'torsion': [2, 8]}
  • id: 1748916
    {'degree': 16, 'field': [625, 250, 50, 1320, -211, -682, 1138, -474, -20, 228, -152, 46, 5, -12, 8, -4, 1], 'lmfdb_label': '35280.bi3', 'torsion': [4, 4]}
  • id: 1748919
    {'degree': 16, 'field': [558009, 0, -877932, 0, -597528, 0, -193428, 0, -45990, 0, -8688, 0, -576, 0, -24, 0, 1], 'lmfdb_label': '35280.bi3', '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: 829030
    {'conductor': 35280, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '35280.bi3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 829031
    {'conductor': 35280, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '35280.bi3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 829032
    {'conductor': 35280, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '35280.bi3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 829033
    {'conductor': 35280, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '35280.bi3', 'prime': 7, '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: 1899662
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [7, 6, 162, 163], [161, 8, 160, 9], [55, 60, 58, 145], [1, 4, 4, 17], [44, 167, 1, 162], [67, 66, 34, 115], [104, 165, 107, 166]], 'adelic_image': '168.48.0.?', 'conductor': 35280, 'lmfdb_label': '35280.bi3', 'prime': 0}
  • id: 156507
    {'conductor': 35280, 'elladic_image': '8.12.0.14', 'lmfdb_label': '35280.bi3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1729830
    {'lmfdb_iso': '35280.bi', 'p': 13, 'prec': 20, 'unit': 1043064209487438956587, 'val': 1}
  • id: 1729832
    {'lmfdb_iso': '35280.bi', 'p': 17, 'prec': 20, 'unit': 94622236215837257867227, 'val': 1}
  • id: 1729833
    {'lmfdb_iso': '35280.bi', 'p': 19, 'prec': 20, 'unit': 1206381933078963659095999, 'val': 1}
  • id: 1729837
    {'lmfdb_iso': '35280.bi', 'p': 23, 'prec': 20, 'unit': 6491279750724417745380777, 'val': 1}
  • id: 1729829
    {'lmfdb_iso': '35280.bi', 'p': 29, 'prec': 20, 'unit': 3879471167667753226824933725, 'val': 1}
  • id: 1729825
    {'lmfdb_iso': '35280.bi', 'p': 37, 'prec': 20, 'unit': 10478840284160708752713170696, 'val': 1}
  • id: 1729827
    {'lmfdb_iso': '35280.bi', 'p': 41, 'prec': 20, 'unit': 3782727735895491101099068952483, 'val': 1}
  • id: 1729828
    {'lmfdb_iso': '35280.bi', 'p': 43, 'prec': 20, 'unit': 3276293233028783631787713759621, 'val': 1}
  • id: 1729839
    {'lmfdb_iso': '35280.bi', 'p': 47, 'prec': 20, 'unit': 11523982623264423074465623065963, 'val': 1}
  • id: 1729834
    {'lmfdb_iso': '35280.bi', 'p': 53, 'prec': 20, 'unit': 523287446425154717178997763216317, 'val': 1}
  • id: 1729835
    {'lmfdb_iso': '35280.bi', 'p': 59, 'prec': 20, 'unit': 3241168055881772824107635038492127, 'val': 1}
  • id: 1729840
    {'lmfdb_iso': '35280.bi', 'p': 61, 'prec': 20, 'unit': 8113293129386386294163949819543011, 'val': 1}
  • id: 1729824
    {'lmfdb_iso': '35280.bi', 'p': 67, 'prec': 20, 'unit': 9152181864951562098800427966026131, 'val': 1}
  • id: 1729826
    {'lmfdb_iso': '35280.bi', 'p': 71, 'prec': 20, 'unit': 111895193108211243059358754744398060, 'val': 1}
  • id: 1729836
    {'lmfdb_iso': '35280.bi', 'p': 73, 'prec': 20, 'unit': 220836459143505215577126983509390999, 'val': 1}
  • id: 1729831
    {'lmfdb_iso': '35280.bi', 'p': 79, 'prec': 20, 'unit': 305240445277821705034163857140880869, 'val': 1}
  • id: 1729823
    {'lmfdb_iso': '35280.bi', 'p': 83, 'prec': 20, 'unit': 1472246930504494624103600740507136118, 'val': 1}
  • id: 1729838
    {'lmfdb_iso': '35280.bi', 'p': 89, 'prec': 20, 'unit': 9024022431815792829037932001155728081, 'val': 1}
  • id: 1729822
    {'lmfdb_iso': '35280.bi', 'p': 97, 'prec': 20, 'unit': 4099122736343639976725157443336001205, 'val': 1}