Elliptic curve data - 12635.e3

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• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '12635a', 'Clabel': '12635a2', 'Cnumber': 2, 'abc_quality': 1.0649344898971125, 'absD': 2017092147875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 11970, 'ainvs': [0, -1, 1, 3129, 10452], 'analytic_rank': 1, 'bad_primes': [5, 7, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 12635, 'degree': 14256, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0503754688801701186145589991', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [71991296, 42875], 'lmfdb_iso': '12635.e', 'lmfdb_label': '12635.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 9, 1], 'min_quad_twist_disc': -19, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '57.24.0-3.a.1.1', '63.36.0.b.1', '70.2.0.a.1', '210.24.1.?', '630.72.3.?', '1197.72.0.?', '3990.48.1.?', '11970.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.70926642056852413254921420174', 'prec': 103}, 'semistable': False, 'serre_invariants': [[3, 2, 361], [5, 6, 2527], [7, 8, 1805], [19, 182, 35]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42184402070305011138995471684', 'prec': 107}, 'szpiro_ratio': 3.786301765833351, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -2, -1, 0, 1, 0, -2, 0, -3, 2, -5, 0, 1, 4, 3, 0, 0, 2], 'aplist': [0, -1, -1, 1, -3, -5, 3, 0, -6, -3, 4, -2, 12, -10, 9, -12, 0, 8, 4, 0, 2, 1, 12, 12, 1], 'class_deg': 9, 'class_size': 3, 'conductor': 12635, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '12635.e', 'trace_hash': 319541761926389326}
• 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': '0.12236450561541979427215276108', 'prec': 103}, 'conductor': 12635, 'gens': [[108, 1263, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.70926642056852413254921420174', 'prec': 103}], 'lmfdb_label': '12635.e3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.50587185081895553881826153176', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1527875013804101099482694730302679708', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [10, 108]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 7, 0], '3': [1, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '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': '12635.e3'}
• ec_torsion_growth •

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

  
  
  • id: 651626
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '12635.e3', 'torsion': [3]}
  • id: 651627
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '12635.e3', 'torsion': [3]}
  • id: 651628
    {'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '12635.e3', 'torsion': [2]}
  • id: 651629
    {'degree': 4, 'field': [25, -5, -4, -1, 1], 'lmfdb_label': '12635.e3', 'torsion': [3, 3]}
  • id: 651631
    {'degree': 6, 'field': [-3518, -776, 562, 71, -35, -3, 1], 'lmfdb_label': '12635.e3', 'torsion': [6]}
  • id: 651630
    {'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '12635.e3', 'torsion': [2, 2]}
  • id: 651632
    {'degree': 6, 'field': [83, -127, 94, -35, 22, -3, 1], 'lmfdb_label': '12635.e3', 'torsion': [6]}
  • id: 651633
    {'degree': 12, 'field': [-38670499, 25273374, -7882868, -561134, 1006395, -171612, -11000, 6028, -1345, 166, 12, -6, 1], 'lmfdb_label': '12635.e3', 'torsion': [4]}
  • id: 651636
    {'degree': 12, 'field': [196, 0, 8792, 0, 7904, 0, 2851, 0, 479, 0, 37, 0, 1], 'lmfdb_label': '12635.e3', 'torsion': [2, 6]}
  • id: 651634
    {'degree': 12, 'field': [1225, -1225, -2485, -700, 8961, -3123, -518, -345, 249, 20, -13, -3, 1], 'lmfdb_label': '12635.e3', 'torsion': [3, 6]}
  • id: 651635
    {'degree': 12, 'field': [14190289, 0, -4767637, 0, 687078, 0, -55365, 0, 2702, 0, -77, 0, 1], 'lmfdb_label': '12635.e3', 'torsion': [2, 6]}
  • id: 651638
    {'degree': 18, 'field': [1953125, 0, 0, 656250, 0, 0, 167625, 0, 0, -23506, 0, 0, 1838, 0, 0, -56, 0, 0, 1], 'lmfdb_label': '12635.e3', 'torsion': [9]}
  • id: 651637
    {'degree': 18, 'field': [150234651, -1373768235, 3961305810, -6389576208, 4740419709, -966034989, -699471534, 369962127, 20318310, -40652721, 2355834, 2319771, -231938, -75201, 8391, 1286, -144, -9, 1], 'lmfdb_label': '12635.e3', 'torsion': [9]}
• 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: 273570
    {'conductor': 12635, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '12635.e3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 273571
    {'conductor': 12635, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '12635.e3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 273572
    {'conductor': 12635, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '12635.e3', 'prime': 19, '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: 1747761
    {'adelic_gens': [[11953, 18, 11952, 19], [1, 18, 0, 1], [1, 9, 9, 82], [1, 6, 6, 37], [1901, 8208, 9918, 2395], [9577, 8208, 513, 2053], [3779, 0, 0, 11969], [1, 0, 18, 1], [1, 12, 0, 1], [7753, 8208, 3249, 1141]], 'adelic_image': '11970.144.3.?', 'conductor': 12635, 'lmfdb_label': '12635.e3', 'prime': 0}
  • id: 60083
    {'conductor': 12635, 'elladic_image': '3.12.0.1', 'lmfdb_label': '12635.e3', 'modell_image': '3Cs', 'prime': 3}
• ec_padic •

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

  
  
  • id: 553298
    {'lmfdb_iso': '12635.e', 'p': 11, 'prec': 20, 'unit': 31073660505246848693, 'val': 1}
  • id: 553300
    {'lmfdb_iso': '12635.e', 'p': 13, 'prec': 20, 'unit': 8066456968138670064, 'val': 1}
  • id: 553302
    {'lmfdb_iso': '12635.e', 'p': 17, 'prec': 20, 'unit': 192314034430513686558954, 'val': 1}
  • id: 553306
    {'lmfdb_iso': '12635.e', 'p': 23, 'prec': 20, 'unit': 26921021036610756347316535, 'val': 1}
  • id: 553299
    {'lmfdb_iso': '12635.e', 'p': 29, 'prec': 20, 'unit': 5193753946902007046939549908, 'val': 1}
  • id: 553310
    {'lmfdb_iso': '12635.e', 'p': 31, 'prec': 20, 'unit': 10780119185727652878445867085, 'val': 1}
  • id: 553296
    {'lmfdb_iso': '12635.e', 'p': 37, 'prec': 20, 'unit': 411864850465879221037711035105, 'val': 1}
  • id: 553297
    {'lmfdb_iso': '12635.e', 'p': 41, 'prec': 20, 'unit': 2614968253083652905372013882649, 'val': 1}
  • id: 553295
    {'lmfdb_iso': '12635.e', 'p': 43, 'prec': 20, 'unit': 10210754923609985863157963407359, 'val': 1}
  • id: 553301
    {'lmfdb_iso': '12635.e', 'p': 47, 'prec': 20, 'unit': 20552836628631974604391264863128, 'val': 1}
  • id: 553304
    {'lmfdb_iso': '12635.e', 'p': 53, 'prec': 20, 'unit': 449613124800847078548468152472812, 'val': 1}
  • id: 553309
    {'lmfdb_iso': '12635.e', 'p': 61, 'prec': 20, 'unit': 407258026707366999368745412195736, 'val': 1}
  • id: 553303
    {'lmfdb_iso': '12635.e', 'p': 67, 'prec': 20, 'unit': 1748786829693529632350504524575875, 'val': 1}
  • id: 553305
    {'lmfdb_iso': '12635.e', 'p': 73, 'prec': 20, 'unit': 87589785670953460840071927002348085, 'val': 1}
  • id: 553308
    {'lmfdb_iso': '12635.e', 'p': 79, 'prec': 20, 'unit': 14201671180755943533472218176647383955, 'val': -1}
  • id: 553294
    {'lmfdb_iso': '12635.e', 'p': 83, 'prec': 20, 'unit': 543579939600991540248683117871803391, 'val': 1}
  • id: 553307
    {'lmfdb_iso': '12635.e', 'p': 89, 'prec': 20, 'unit': 3468098340093414569101403881242126494, 'val': 1}
  • id: 553293
    {'lmfdb_iso': '12635.e', 'p': 97, 'prec': 20, 'unit': 2353688639986894644841341933890952163713, 'val': -1}