Elliptic curve data - 3360.b1

Formats: - HTML - YAML - JSON - 2025-04-25T03:02:53.982462

• 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': '3360a', 'Clabel': '3360a1', 'Cnumber': 1, 'abc_quality': 0.8815385643897348, 'absD': 33600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, -1, 0, -26, 60], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3360, 'degree': 384, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.33299112428926498447595560665', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [31554496, 525], 'lmfdb_iso': '3360.b', 'lmfdb_label': '3360.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -26, 60], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.b.1', '42.6.0.a.1', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.71873676258741214689222797586', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 21], [3, 4, 1120], [5, 6, 672], [7, 8, 480]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67956471456923763918457166738', 'prec': 107}, 'szpiro_ratio': 2.6387821732022143, '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, -1, 0, -1, 0, 1, 0, -2, 0, 0, 0, 1, 0, -6, 0, 6, 0], 'aplist': [0, -1, -1, -1, -2, 0, -6, 6, 8, 6, 6, -10, 2, 4, -8, -12, -12, -10, 4, 2, 4, -4, -12, 6, 16], 'class_deg': 2, 'class_size': 2, 'conductor': 3360, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3360.b', 'trace_hash': 137132694492993435}
• 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': '1.9464014327287390547073951935', 'prec': 100}, 'conductor': 3360, 'gens': [[4, 2, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.71873676258741214689222797586', 'prec': 103}], 'lmfdb_label': '3360.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '3.6904653094384050898963722789', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6524730889469114632049415089815210087', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[3, 0, 1]], 'xcoord_integral_points': [-2, 3, 4]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 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': '3360.b1'}
• ec_torsion_growth •

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

  
  
  • id: 174816
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '3360.b1', 'torsion': [2, 2]}
  • id: 174817
    {'degree': 4, 'field': [14, -4, 0, -2, 1], 'lmfdb_label': '3360.b1', 'torsion': [4]}
  • id: 174818
    {'degree': 8, 'field': [441, 0, -3528, 0, 735, 0, -42, 0, 1], 'lmfdb_label': '3360.b1', 'torsion': [2, 4]}
  • id: 174819
    {'degree': 8, 'field': [729, -486, 378, -306, 159, -30, 28, -4, 1], 'lmfdb_label': '3360.b1', 'torsion': [2, 4]}
  • id: 174820
    {'degree': 8, 'field': [2125, 2732, 1390, 660, 216, 48, 22, -4, 1], 'lmfdb_label': '3360.b1', 'torsion': [6]}
  • id: 174822
    {'degree': 16, 'field': [5625, 0, 782400, 0, -243500, 0, 9600, 0, -15378, 0, 5696, 0, -444, 0, 0, 0, 1], 'lmfdb_label': '3360.b1', 'torsion': [2, 6]}
  • id: 174821
    {'degree': 16, 'field': [122788561, 0, -25581376, 0, 2065812, 0, -1082048, 0, 324790, 0, -39872, 0, 2292, 0, -64, 0, 1], 'lmfdb_label': '3360.b1', '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: 61035
    {'conductor': 3360, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '3360.b1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 61036
    {'conductor': 3360, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3360.b1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 61037
    {'conductor': 3360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3360.b1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 61038
    {'conductor': 3360, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3360.b1', 'prime': 7, '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: 1685804
    {'adelic_gens': [[142, 1, 139, 0], [1, 2, 2, 5], [1, 4, 0, 1], [62, 1, 179, 0], [417, 4, 416, 5], [1, 0, 4, 1], [109, 316, 104, 315], [3, 4, 8, 11], [337, 4, 254, 9]], 'adelic_image': '420.12.0.?', 'conductor': 3360, 'lmfdb_label': '3360.b1', 'prime': 0}
  • id: 16796
    {'conductor': 3360, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3360.b1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 111523
    {'lmfdb_iso': '3360.b', 'p': 11, 'prec': 20, 'unit': 56003299120038712000, 'val': 1}
  • id: 111524
    {'lmfdb_iso': '3360.b', 'p': 17, 'prec': 20, 'unit': 182244684917036352161397, 'val': 1}
  • id: 111525
    {'lmfdb_iso': '3360.b', 'p': 19, 'prec': 20, 'unit': 1844657621576865013574640, 'val': 1}
  • id: 111529
    {'lmfdb_iso': '3360.b', 'p': 23, 'prec': 20, 'unit': 31164089303569716925391288, 'val': 1}
  • id: 111521
    {'lmfdb_iso': '3360.b', 'p': 29, 'prec': 20, 'unit': 4696280053106176504653227152, 'val': 1}
  • id: 111533
    {'lmfdb_iso': '3360.b', 'p': 31, 'prec': 20, 'unit': 3769948201946254918073297062, 'val': 1}
  • id: 111517
    {'lmfdb_iso': '3360.b', 'p': 37, 'prec': 20, 'unit': 254457809587772199606671070203, 'val': 1}
  • id: 111519
    {'lmfdb_iso': '3360.b', 'p': 41, 'prec': 20, 'unit': 1268075871147114872385572724712, 'val': 1}
  • id: 111520
    {'lmfdb_iso': '3360.b', 'p': 43, 'prec': 20, 'unit': 1653509274410330010298413111727, 'val': 1}
  • id: 111531
    {'lmfdb_iso': '3360.b', 'p': 47, 'prec': 20, 'unit': 33730413943178031659349497957510, 'val': 1}
  • id: 111526
    {'lmfdb_iso': '3360.b', 'p': 53, 'prec': 20, 'unit': 10667990157852094545395264033648, 'val': 2}
  • id: 111527
    {'lmfdb_iso': '3360.b', 'p': 59, 'prec': 20, 'unit': 3527603840531516636650226562075312, 'val': 1}
  • id: 111532
    {'lmfdb_iso': '3360.b', 'p': 61, 'prec': 20, 'unit': 7331597598011003259361998042563200, 'val': 1}
  • id: 111516
    {'lmfdb_iso': '3360.b', 'p': 67, 'prec': 20, 'unit': 6750236054696913365985971468945712, 'val': 1}
  • id: 111518
    {'lmfdb_iso': '3360.b', 'p': 71, 'prec': 20, 'unit': 127775960429586919935998515494624201, 'val': 1}
  • id: 111528
    {'lmfdb_iso': '3360.b', 'p': 73, 'prec': 20, 'unit': 42017259981637881676006458237622688, 'val': 1}
  • id: 111522
    {'lmfdb_iso': '3360.b', 'p': 79, 'prec': 20, 'unit': 743789311093647097585108839320421859, 'val': 1}
  • id: 111515
    {'lmfdb_iso': '3360.b', 'p': 83, 'prec': 20, 'unit': 1506945122307565657897497935077888683, 'val': 1}
  • id: 111530
    {'lmfdb_iso': '3360.b', 'p': 89, 'prec': 20, 'unit': 4582298813101340277318418792815376777, 'val': 1}
  • id: 111514
    {'lmfdb_iso': '3360.b', 'p': 97, 'prec': 20, 'unit': 2760341601223733424695174295438584914, 'val': 1}