Elliptic curve data - 2738.c2

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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
  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': '2738d', 'Clabel': '2738d2', 'Cnumber': 2, 'abc_quality': 0.9847633793256833, 'absD': 358875136, 'adelic_genus': 6, 'adelic_index': 288, 'adelic_level': 1332, 'ainvs': [1, 0, 0, 138, 676], 'analytic_rank': 2, 'bad_primes': [2, 37], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 2738, 'degree': 1728, 'elladic_images': ['4.2.0.1', '9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.32763207079326447404764206923', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 2, 'isogeny_degrees': [1, 3], 'jinv': [212207543, 262144], 'lmfdb_iso': '2738.c', 'lmfdb_label': '2738.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 138, 676], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.2.0.a.1', '9.12.0.b.1', '12.16.0.b.2', '36.48.0.b.2', '111.8.0.?', '148.4.0.?', '333.72.0.?', '444.32.0.?', '1332.288.6.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 26, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.16951102918632373793076047945', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 1369], [3, 2, 1369], [37, 254, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27418758131410626668037387594', 'prec': 107}, 'szpiro_ratio': 3.3507613039546444, '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, 1, -2, 1, -3, -2, -4, 1, 1, -3, -6, -2, -2, -4, 6, 1, -3, 1, -2, -3], 'aplist': [1, -2, -3, -4, -6, -2, -3, -2, -6, -3, -2, 0, 3, 4, -6, -6, 0, 1, 2, -12, -10, -14, 6, -3, 13], 'class_deg': 3, 'class_size': 2, 'conductor': 2738, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '2738.c', 'trace_hash': 2132328505929576867}
• 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': '0.51930487445586949904970907337', 'prec': 103}, 'conductor': 2738, 'gens': [[12, 58, 1], [44, 282, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.11926464611302107423348141991', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.4380677477109916274733527545', 'prec': 100}], 'lmfdb_label': '2738.c2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '1.1398640062792850435211755232', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4779513750632602468969044638455085347', 'prec': 130}, 'tamagawa_product': 18, 'torsion_generators': [], 'xcoord_integral_points': [-4, 0, 2, 4, 12, 24, 30, 44, 76, 140, 236, 810, 1116]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [4, 1], '5': [6, 0], '7': [4, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': 'a', '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '2738.c2'}
• ec_torsion_growth •

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

  
  
  • id: 142990
    {'degree': 2, 'field': [28, -1, 1], 'lmfdb_label': '2738.c2', 'torsion': [3]}
  • id: 142991
    {'degree': 3, 'field': [26, -12, -1, 1], 'lmfdb_label': '2738.c2', 'torsion': [2]}
  • id: 142993
    {'degree': 6, 'field': [-37, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2738.c2', 'torsion': [3]}
  • id: 142992
    {'degree': 6, 'field': [676, 0, 196, 0, 25, 0, 1], 'lmfdb_label': '2738.c2', 'torsion': [2, 2]}
  • id: 142994
    {'degree': 6, 'field': [5524, -835, 697, -58, 50, -3, 1], 'lmfdb_label': '2738.c2', 'torsion': [6]}
  • id: 142995
    {'degree': 12, 'field': [-64, -368, -704, -124, 996, 637, -293, -283, 47, 55, -7, -5, 1], 'lmfdb_label': '2738.c2', 'torsion': [4]}
  • id: 142996
    {'degree': 12, 'field': [1296, 216, 576, -1530, 645, 96, 67, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '2738.c2', 'torsion': [3, 3]}
  • id: 142997
    {'degree': 12, 'field': [2166784, -2626048, 1591328, -760304, 313476, -90920, 13360, 1652, -1107, 170, 2, -2, 1], 'lmfdb_label': '2738.c2', 'torsion': [2, 6]}
  • id: 142999
    {'degree': 18, 'field': [4821, -17124, 6596, 16954, 2392, -32420, 5271, 22208, -4052, -10548, 2088, 3120, -589, -620, 120, 74, -16, -4, 1], 'lmfdb_label': '2738.c2', 'torsion': [6]}
  • id: 142998
    {'degree': 18, 'field': [2391040, -2034816, 4973760, -4345344, -2809344, 970848, 1609776, -731238, 501093, -114208, 21288, -8496, 6705, -1560, 819, -18, 30, 0, 1], 'lmfdb_label': '2738.c2', '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: 48607
    {'conductor': 2738, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '2738.c2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 18}
  • id: 48608
    {'conductor': 2738, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '2738.c2', 'prime': 37, 'reduction_type': 0, '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: 1681922
    {'adelic_gens': [[1, 36, 0, 1], [1, 36, 12, 433], [1, 0, 36, 1], [632, 27, 753, 833], [19, 27, 657, 1144], [667, 36, 351, 649], [1297, 36, 1296, 37], [13, 6, 1282, 1309], [1198, 27, 123, 713]], 'adelic_image': '1332.288.6.?', 'conductor': 2738, 'lmfdb_label': '2738.c2', 'prime': 0}
  • id: 13786
    {'conductor': 2738, 'elladic_image': '4.2.0.1', 'lmfdb_label': '2738.c2', 'modell_image': '2G', 'prime': 2}
  • id: 13787
    {'conductor': 2738, 'elladic_image': '9.12.0.2', 'lmfdb_label': '2738.c2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 87222
    {'lmfdb_iso': '2738.c', 'p': 5, 'prec': 20, 'unit': 2177060715716, 'val': 3}
  • id: 87223
    {'lmfdb_iso': '2738.c', 'p': 7, 'prec': 20, 'unit': 409654150852985, 'val': 3}
  • id: 87221
    {'lmfdb_iso': '2738.c', 'p': 11, 'prec': 20, 'unit': 5902815707764680341, 'val': 2}
  • id: 87227
    {'lmfdb_iso': '2738.c', 'p': 13, 'prec': 20, 'unit': 1307073110073045360641, 'val': 2}
  • id: 87229
    {'lmfdb_iso': '2738.c', 'p': 17, 'prec': 20, 'unit': 179744588752238831829669, 'val': 2}
  • id: 87230
    {'lmfdb_iso': '2738.c', 'p': 19, 'prec': 20, 'unit': 1690204896185051370691144, 'val': 2}
  • id: 87233
    {'lmfdb_iso': '2738.c', 'p': 23, 'prec': 20, 'unit': 52623245283829460050291802, 'val': 2}
  • id: 87226
    {'lmfdb_iso': '2738.c', 'p': 29, 'prec': 20, 'unit': 856743416234599856094500382, 'val': 2}
  • id: 87239
    {'lmfdb_iso': '2738.c', 'p': 31, 'prec': 20, 'unit': 15969247726560857843049789511, 'val': 2}
  • id: 87224
    {'lmfdb_iso': '2738.c', 'p': 41, 'prec': 20, 'unit': 1528963316919929494674314868530, 'val': 2}
  • id: 87225
    {'lmfdb_iso': '2738.c', 'p': 43, 'prec': 20, 'unit': 4757054771196658957551811408672, 'val': 2}
  • id: 87228
    {'lmfdb_iso': '2738.c', 'p': 47, 'prec': 20, 'unit': 46736409128914850882283118477607, 'val': 2}
  • id: 87231
    {'lmfdb_iso': '2738.c', 'p': 53, 'prec': 20, 'unit': 150387877204009956775089679668375, 'val': 2}
  • id: 87237
    {'lmfdb_iso': '2738.c', 'p': 61, 'prec': 20, 'unit': 25433965038232073397370789136929, 'val': 0}
  • id: 87220
    {'lmfdb_iso': '2738.c', 'p': 67, 'prec': 20, 'unit': 42152485030669859395731922227787399, 'val': 2}
  • id: 87235
    {'lmfdb_iso': '2738.c', 'p': 71, 'prec': 20, 'unit': 85588111161310776621066499640707394, 'val': 2}
  • id: 87232
    {'lmfdb_iso': '2738.c', 'p': 73, 'prec': 20, 'unit': 163933814983411194662734649128535778, 'val': 2}
  • id: 87236
    {'lmfdb_iso': '2738.c', 'p': 79, 'prec': 20, 'unit': 779188262033206109784728310590028153, 'val': 2}
  • id: 87238
    {'lmfdb_iso': '2738.c', 'p': 83, 'prec': 20, 'unit': 2694912503025533596055085360597024540, 'val': 2}
  • id: 87234
    {'lmfdb_iso': '2738.c', 'p': 89, 'prec': 20, 'unit': 9170209674098461136818598322698849899, 'val': 2}
  • id: 87219
    {'lmfdb_iso': '2738.c', 'p': 97, 'prec': 20, 'unit': 53668024355161528165037495931739909624, 'val': 2}