Elliptic curve data - 11760.cl7

Formats: - HTML - YAML - JSON - 2025-10-14T23:21:36.042479

• 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': '11760co', 'Clabel': '11760co1', 'Cnumber': 1, 'abc_quality': 0.9780810097967987, 'absD': 1865262437498880, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -32160, -791820], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 11760, 'degree': 55296, 'elladic_images': ['4.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6226749432295265656809963540', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 63, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [7633736209, 3870720], 'lmfdb_iso': '11760.cl', 'lmfdb_label': '11760.cl7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -41, -39], 'min_quad_twist_disc': 28, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.2', '6.12.0.a.1', '12.48.0-12.g.1.7', '24.96.0-24.bs.1.30', '56.24.0-56.bb.1.10', '60.96.0-60.c.1.6', '84.96.0.?', '120.192.1.?', '168.192.1.?', '210.24.0.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6560254207609331978095398023', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 735], [3, 4, 3920], [5, 6, 2352], [7, 32, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.043427311858075396288912139180', 'prec': 110}, 'szpiro_ratio': 4.561136974500809, '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, 0, 0, 1, 0, 0, 0, -2, 0, 1, 0, 6, 0, -4, 0], 'aplist': [0, 1, 1, 0, 0, -2, 6, -4, 0, -6, -4, 2, -6, -8, -12, 6, -12, -2, -8, 0, -14, 16, 12, -6, -14], 'class_deg': 12, 'class_size': 8, 'conductor': 11760, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '11760.cl', 'trace_hash': 573242870339649480}
• 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': '0.038954932169285979685373010185', 'prec': 107}, 'conductor': 11760, 'gens': [[-117, 1176, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6560254207609331978095398023', 'prec': 100}], 'lmfdb_label': '11760.cl7', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37615494170437487485925664532', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9944625238699994529908534309606053093', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-166, 0, 1]], 'xcoord_integral_points': [-166, -117, 858]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [4, 0], '7': 'a', '11': [1, 1, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '11760.cl7'}
• ec_torsion_growth •

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

  
  
  • id: 608800
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '11760.cl7', 'torsion': [2, 2]}
  • id: 608803
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [6]}
  • id: 608801
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [4]}
  • id: 608802
    {'degree': 2, 'field': [105, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [4]}
  • id: 608805
    {'degree': 4, 'field': [-194, -151, -39, -1, 1], 'lmfdb_label': '11760.cl7', 'torsion': [2, 4]}
  • id: 608806
    {'degree': 4, 'field': [4, 0, -11, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [2, 6]}
  • id: 608807
    {'degree': 4, 'field': [4, 0, -3, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [12]}
  • id: 608808
    {'degree': 4, 'field': [114, 6, -5, -2, 1], 'lmfdb_label': '11760.cl7', 'torsion': [12]}
  • id: 608804
    {'degree': 4, 'field': [676, 0, 53, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [2, 4]}
  • id: 608809
    {'degree': 6, 'field': [84, 0, 133, 0, 7, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [6]}
  • id: 608814
    {'degree': 8, 'field': [756, -6048, 7560, -1428, 109, 178, -30, -2, 1], 'lmfdb_label': '11760.cl7', 'torsion': [2, 12]}
  • id: 608813
    {'degree': 8, 'field': [904, 288, -218, -134, 53, 14, 0, -4, 1], 'lmfdb_label': '11760.cl7', 'torsion': [2, 12]}
  • id: 608812
    {'degree': 8, 'field': [2130, -420, 510, -180, 91, -4, 6, -4, 1], 'lmfdb_label': '11760.cl7', 'torsion': [8]}
  • id: 608811
    {'degree': 8, 'field': [3136, 3136, 1568, 392, -63, -56, 0, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [8]}
  • id: 608810
    {'degree': 8, 'field': [37636, 0, 7669, 0, 831, 0, 79, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [4, 4]}
  • id: 608815
    {'degree': 12, 'field': [7056, 0, -11172, 0, 17101, 0, -763, 0, -84, 0, -7, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [3, 6]}
  • id: 608818
    {'degree': 12, 'field': [7056, 0, -1764, 0, -1715, 0, 105, 0, 140, 0, 21, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [12]}
  • id: 608817
    {'degree': 12, 'field': [35344, 0, -18820, 0, 2613, 0, 265, 0, -108, 0, 5, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [12]}
  • id: 608816
    {'degree': 12, 'field': [60516, 0, -6879, 0, -1025, 0, 785, 0, -75, 0, 11, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [2, 6]}
  • id: 608820
    {'degree': 16, 'field': [256, 0, 10560, 0, 78436, 0, 109740, 0, 57681, 0, 12840, 0, 1306, 0, 60, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [2, 8]}
  • id: 608822
    {'degree': 16, 'field': [34596, -185256, 496008, -985608, 1006053, -80538, 46866, -39954, -6677, -6772, 1124, 284, 523, -74, 2, -2, 1], 'lmfdb_label': '11760.cl7', 'torsion': [4, 12]}
  • id: 608823
    {'degree': 16, 'field': [63504, -42336, 14112, 27048, 385, -3920, 8288, 1288, 1395, -64, 352, 344, 3, -80, 32, -8, 1], 'lmfdb_label': '11760.cl7', 'torsion': [24]}
  • id: 608824
    {'degree': 16, 'field': [298116, 0, -189000, 0, 25104, 0, -780, 0, 5941, 0, 1040, 0, 234, 0, 20, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [24]}
  • id: 608819
    {'degree': 16, 'field': [456976, 0, 0, 0, 21137, 0, 0, 0, -1677, 0, 0, 0, -13, 0, 0, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [2, 8]}
  • id: 608821
    {'degree': 16, 'field': [12845056, 0, 18038272, 0, 7696528, 0, 918064, 0, 306040, 0, 43204, 0, 553, 0, -98, 0, 1], 'lmfdb_label': '11760.cl7', 'torsion': [2, 8]}
  • id: 608825
    {'degree': 18, 'field': [-40769244, 11887560, 56536056, -45386640, 5050782, 5649102, 2316897, -6908562, 5188554, -2490430, 860433, -204084, 18224, 6486, -3003, 526, -36, -6, 1], 'lmfdb_label': '11760.cl7', 'torsion': [18]}
• 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: 253352
    {'conductor': 11760, 'conductor_valuation': 4, 'discriminant_valuation': 24, 'j_denominator_valuation': 12, 'kodaira_symbol': -20, 'lmfdb_label': '11760.cl7', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 253353
    {'conductor': 11760, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '11760.cl7', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 253354
    {'conductor': 11760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11760.cl7', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 253355
    {'conductor': 11760, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '11760.cl7', '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: 1742000
    {'adelic_gens': [[16, 423, 521, 194], [15, 106, 374, 11], [623, 816, 138, 833], [1, 12, 12, 145], [352, 3, 717, 754], [344, 819, 645, 374], [817, 24, 816, 25], [1, 24, 0, 1], [249, 388, 500, 629], [1, 0, 24, 1]], 'adelic_image': '840.384.5.?', 'conductor': 11760, 'lmfdb_label': '11760.cl7', 'prime': 0}
  • id: 56356
    {'conductor': 11760, 'elladic_image': '4.12.0.8', 'lmfdb_label': '11760.cl7', 'modell_image': '2B', 'prime': 2}
  • id: 56357
    {'conductor': 11760, 'elladic_image': '3.4.0.1', 'lmfdb_label': '11760.cl7', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 510902
    {'lmfdb_iso': '11760.cl', 'p': 13, 'prec': 20, 'unit': 439905703324948322590, 'val': 1}
  • id: 510904
    {'lmfdb_iso': '11760.cl', 'p': 17, 'prec': 20, 'unit': 157075809345457099258, 'val': 2}
  • id: 510905
    {'lmfdb_iso': '11760.cl', 'p': 19, 'prec': 20, 'unit': 1014667583036651999464362, 'val': 1}
  • id: 510901
    {'lmfdb_iso': '11760.cl', 'p': 29, 'prec': 20, 'unit': 5459508479996947132792713079, 'val': 1}
  • id: 510912
    {'lmfdb_iso': '11760.cl', 'p': 31, 'prec': 20, 'unit': 20711994736003374647358982120, 'val': 1}
  • id: 510898
    {'lmfdb_iso': '11760.cl', 'p': 37, 'prec': 20, 'unit': 105068342637317932080391654128, 'val': 1}
  • id: 510899
    {'lmfdb_iso': '11760.cl', 'p': 41, 'prec': 20, 'unit': 1152499318028435684551721524094, 'val': 1}
  • id: 510900
    {'lmfdb_iso': '11760.cl', 'p': 43, 'prec': 20, 'unit': 10744991713073060058009626661874, 'val': 1}
  • id: 510910
    {'lmfdb_iso': '11760.cl', 'p': 47, 'prec': 20, 'unit': 6050348096617218972526620903204, 'val': 1}
  • id: 510906
    {'lmfdb_iso': '11760.cl', 'p': 53, 'prec': 20, 'unit': 141844455400843940463919955721134, 'val': 1}
  • id: 510907
    {'lmfdb_iso': '11760.cl', 'p': 59, 'prec': 20, 'unit': 3264853834801702699286460143352965, 'val': 1}
  • id: 510911
    {'lmfdb_iso': '11760.cl', 'p': 61, 'prec': 20, 'unit': 908251848454264088356581977451533, 'val': 1}
  • id: 510897
    {'lmfdb_iso': '11760.cl', 'p': 67, 'prec': 20, 'unit': 24062694129404509960125273691520262, 'val': 1}
  • id: 510908
    {'lmfdb_iso': '11760.cl', 'p': 73, 'prec': 20, 'unit': 61634365246591920104203156651713353, 'val': 1}
  • id: 510903
    {'lmfdb_iso': '11760.cl', 'p': 79, 'prec': 20, 'unit': 204674292256080043608585795302009297, 'val': 1}
  • id: 510896
    {'lmfdb_iso': '11760.cl', 'p': 83, 'prec': 20, 'unit': 1525707503631421370968118869984417811, 'val': 1}
  • id: 510909
    {'lmfdb_iso': '11760.cl', 'p': 89, 'prec': 20, 'unit': 7350973766170606510538389170304410500, 'val': 1}
  • id: 510895
    {'lmfdb_iso': '11760.cl', 'p': 97, 'prec': 20, 'unit': 186457479897736331637836755967725162, 'val': 1}