Elliptic curve data - 3360.c2

Formats: - HTML - YAML - JSON - 2023-03-31T22:21:12.669330

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '3360c', 'Clabel': '3360c3', 'Cnumber': 3, 'absD': 437382235261440, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, -1, 0, -22296, -786060], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3360, 'degree': 15360, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5102570373606597235040814407', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [2394165105226952, 854262178245], 'lmfdb_iso': '3360.c', 'lmfdb_label': '3360.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -22296, -786060], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['1.1.0.1', '2.3.0.1', '4.6.0.1', '8.12.0.8', '20.12.0.6', '24.24.0.191', '40.24.0.176', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4086863846809876004445872567', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.99039665194070074144115734961', 'prec': 103}, '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, 4, 0, -6, 0, 1, 0, 6, 0, 0, 0], 'aplist': [0, -1, -1, -1, 4, -6, 6, 0, -4, -6, 0, 2, 2, 4, 4, -6, 12, -10, 4, 8, -14, 8, -12, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 3360, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '3360.c', 'trace_hash': 394598878242290347}
• 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': '0.048776137336596387151461839503', 'prec': 107}, 'conductor': 3360, 'gens': [[-124, 238, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4086863846809876004445872567', 'prec': 100}], 'lmfdb_label': '3360.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.40224098819306345585588129366', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7422267596286425811479629378785080115', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[165, 0, 1]], 'xcoord_integral_points': [-124, 165]}
• 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, 0], '17': [1, 0], '19': [1, 1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3360.c2'}
• ec_torsion_growth •

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

  
  
  • id: 174902
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '3360.c2', 'torsion': [2, 2]}
  • id: 174904
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '3360.c2', 'torsion': [4]}
  • id: 174903
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '3360.c2', 'torsion': [4]}
  • id: 174905
    {'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '3360.c2', 'torsion': [2, 4]}
  • id: 174908
    {'degree': 8, 'field': [100, 0, 40, 0, 6, 0, 4, 0, 1], 'lmfdb_label': '3360.c2', 'torsion': [8]}
  • id: 174909
    {'degree': 8, 'field': [2125, 2732, 1390, 660, 216, 48, 22, -4, 1], 'lmfdb_label': '3360.c2', 'torsion': [6]}
  • id: 174907
    {'degree': 8, 'field': [145321, 70284, -64328, -11768, 5525, 428, -138, -4, 1], 'lmfdb_label': '3360.c2', 'torsion': [8]}
  • id: 174906
    {'degree': 8, 'field': [236196, 0, 11792, 0, -956, 0, 8, 0, 1], 'lmfdb_label': '3360.c2', 'torsion': [2, 4]}
  • id: 174912
    {'degree': 16, 'field': [-10052759, 118640444, -21881136, -165882836, 17463384, 68703336, -7167092, -12079868, 1321161, 1041560, -119432, -45828, 5454, 980, -120, -8, 1], 'lmfdb_label': '3360.c2', 'torsion': [2, 8]}
  • id: 174911
    {'degree': 16, 'field': [256, 0, 1280, 0, 2912, 0, 3360, 0, 2228, 0, 840, 0, 182, 0, 20, 0, 1], 'lmfdb_label': '3360.c2', 'torsion': [2, 8]}
  • id: 174914
    {'degree': 16, 'field': [31781, 70168, -47840, -29400, -29570, 70424, -52628, 25360, -6225, -920, 932, -304, -10, 0, 20, -8, 1], 'lmfdb_label': '3360.c2', 'torsion': [12]}
  • id: 174915
    {'degree': 16, 'field': [15155449, 0, -14351056, 0, 3424180, 0, -247152, 0, 103470, 0, 3408, 0, 100, 0, -16, 0, 1], 'lmfdb_label': '3360.c2', 'torsion': [12]}
  • id: 174913
    {'degree': 16, 'field': [15655184, 6282240, -7016704, -12423680, -4267120, -164000, -359632, -552320, -266080, -72240, -13072, -2640, -308, 0, -20, 0, 1], 'lmfdb_label': '3360.c2', 'torsion': [2, 6]}
  • id: 174910
    {'degree': 16, 'field': [3603000625, 0, 0, 0, 0, 0, 0, 0, 2040850, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3360.c2', 'torsion': [4, 4]}
• 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: 61067
    {'conductor': 3360, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3360.c2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 61068
    {'conductor': 3360, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '3360.c2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 61069
    {'conductor': 3360, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3360.c2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 61070
    {'conductor': 3360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3360.c2', 'prime': 7, 'reduction_type': -1, '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: 1685807
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [113, 108, 110, 47], [113, 8, 112, 9], [7, 6, 114, 115], [41, 8, 44, 33], [1, 4, 4, 17], [28, 1, 71, 6], [16, 83, 49, 78]], 'adelic_image': '120.48.0.?', 'conductor': 3360, 'lmfdb_label': '3360.c2', 'prime': 0}
  • id: 16799
    {'conductor': 3360, 'elladic_image': '8.12.0.8', 'lmfdb_label': '3360.c2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 111554
    {'lmfdb_iso': '3360.c', 'p': 11, 'prec': 20, 'unit': 47965479837545467534, 'val': 1}
  • id: 111560
    {'lmfdb_iso': '3360.c', 'p': 13, 'prec': 20, 'unit': 590261229363207056792, 'val': 1}
  • id: 111562
    {'lmfdb_iso': '3360.c', 'p': 17, 'prec': 20, 'unit': 41306369653459586071456, 'val': 1}
  • id: 111567
    {'lmfdb_iso': '3360.c', 'p': 23, 'prec': 20, 'unit': 707210075177140826848236, 'val': 2}
  • id: 111559
    {'lmfdb_iso': '3360.c', 'p': 29, 'prec': 20, 'unit': 5600999708094365100393061755, 'val': 1}
  • id: 111555
    {'lmfdb_iso': '3360.c', 'p': 37, 'prec': 20, 'unit': 269439064615293856790605425438, 'val': 1}
  • id: 111557
    {'lmfdb_iso': '3360.c', 'p': 41, 'prec': 20, 'unit': 4241757996041257465315336857143, 'val': 1}
  • id: 111558
    {'lmfdb_iso': '3360.c', 'p': 43, 'prec': 20, 'unit': 7060760885822034446673256712867, 'val': 1}
  • id: 111569
    {'lmfdb_iso': '3360.c', 'p': 47, 'prec': 20, 'unit': 19446104090431292148677796953007, 'val': 1}
  • id: 111564
    {'lmfdb_iso': '3360.c', 'p': 53, 'prec': 20, 'unit': 509663513026551269917181602891061, 'val': 1}
  • id: 111565
    {'lmfdb_iso': '3360.c', 'p': 59, 'prec': 20, 'unit': 1782793237873472431454394391950753, 'val': 1}
  • id: 111570
    {'lmfdb_iso': '3360.c', 'p': 61, 'prec': 20, 'unit': 3334432047899583508113011481299982, 'val': 1}
  • id: 111563
    {'lmfdb_iso': '3360.c', 'p': 67, 'prec': 20, 'unit': 5302017872386251698962666211714799, 'val': 1}
  • id: 111556
    {'lmfdb_iso': '3360.c', 'p': 71, 'prec': 20, 'unit': 143151048847039517027763976004781117, 'val': 1}
  • id: 111566
    {'lmfdb_iso': '3360.c', 'p': 73, 'prec': 20, 'unit': 83021875354655484120507517377790948, 'val': 1}
  • id: 111561
    {'lmfdb_iso': '3360.c', 'p': 79, 'prec': 20, 'unit': 386881887558681741096159784729504072, 'val': 1}
  • id: 111553
    {'lmfdb_iso': '3360.c', 'p': 83, 'prec': 20, 'unit': 2028098100514659277411326191772468628, 'val': 1}
  • id: 111568
    {'lmfdb_iso': '3360.c', 'p': 89, 'prec': 20, 'unit': 10570849598324100436376165152438656920, 'val': 1}
  • id: 111552
    {'lmfdb_iso': '3360.c', 'p': 97, 'prec': 20, 'unit': 53195360000971520032051052884356976881, 'val': 1}