Elliptic curve data - 22848.e2

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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': '22848bu', 'Clabel': '22848bu3', 'Cnumber': 3, 'abc_quality': 0.9042138661750012, 'absD': 229892554752, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, -1, 0, -3969, -92127], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 22848, 'degree': 24576, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95299548489767506104727754001', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [52767497666, 1753941], 'lmfdb_iso': '22848.e', 'lmfdb_label': '22848.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -992, 12012], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '56.12.0-4.c.1.1', '136.12.0.?', '168.24.0.?', '408.24.0.?', '952.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '9.5537873218303017863106411050', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 21], [3, 4, 7616], [7, 8, 3264], [17, 18, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.028963020895580793960467965389', 'prec': 110}, 'szpiro_ratio': 3.63395918717295, '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, -2, 0, -1, 0, 1, 0, -4, 0, -2, 0, 2, 0, -1, 0, -4, 0], 'aplist': [0, -1, -2, -1, -4, -2, -1, -4, 4, 2, 0, -2, -10, -4, 8, -6, -8, -2, -4, -12, -10, -8, 0, 6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 22848, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '22848.e', 'trace_hash': 1908829026873658019}
• 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': '0.14867523692779599507902046255', 'prec': 103}, 'conductor': 22848, 'gens': [[-37, 52, 1], [-32, 33, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8152008218858144294441850425', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.4851265066275442688910989337', 'prec': 100}], 'lmfdb_label': '22848.e2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.60270544692569126474055520433', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7581196576367350434403254180367566981', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-41, 0, 1]], 'xcoord_integral_points': [-41, -37, -32, 248, 359]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': [2, 0], '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 4, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '22848.e2'}
• ec_torsion_growth •

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

  
  
  • id: 1158650
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '22848.e2', 'torsion': [2, 2]}
  • id: 1158652
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '22848.e2', 'torsion': [4]}
  • id: 1158651
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '22848.e2', 'torsion': [4]}
  • id: 1158653
    {'degree': 4, 'field': [196, 0, -14, 0, 1], 'lmfdb_label': '22848.e2', 'torsion': [2, 4]}
  • id: 1158657
    {'degree': 8, 'field': [-243, 0, 90, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '22848.e2', 'torsion': [6]}
  • id: 1158654
    {'degree': 8, 'field': [1089, 0, -1620, 0, -30, 0, -12, 0, 1], 'lmfdb_label': '22848.e2', 'torsion': [2, 4]}
  • id: 1158656
    {'degree': 8, 'field': [1764, 0, -1008, 0, 534, 0, -24, 0, 1], 'lmfdb_label': '22848.e2', 'torsion': [8]}
  • id: 1158655
    {'degree': 8, 'field': [10404, 0, -6324, 0, 1165, 0, -6, 0, 1], 'lmfdb_label': '22848.e2', 'torsion': [8]}
  • id: 1158659
    {'degree': 16, 'field': [2401, 0, -168070, 0, 11786509, 0, 1511258, 0, 242452, 0, 686, 0, 637, 0, 14, 0, 1], 'lmfdb_label': '22848.e2', 'torsion': [2, 8]}
  • id: 1158663
    {'degree': 16, 'field': [59049, 0, 21870, 0, -5022, 0, 4860, 0, 3159, 0, 180, 0, 54, 0, 0, 0, 1], 'lmfdb_label': '22848.e2', 'torsion': [12]}
  • id: 1158660
    {'degree': 16, 'field': [83521, 0, 12262848, 0, 107835148, 0, 41775936, 0, 5987430, 0, 399936, 0, 12940, 0, 192, 0, 1], 'lmfdb_label': '22848.e2', 'torsion': [2, 8]}
  • id: 1158658
    {'degree': 16, 'field': [3265249, 0, -980944, 0, 404320, 0, -94024, 0, 3934, 0, -112, 0, 112, 0, 8, 0, 1], 'lmfdb_label': '22848.e2', 'torsion': [4, 4]}
  • id: 1158662
    {'degree': 16, 'field': [4056196, 0, 14401936, 0, -92804, 0, 136272, 0, -90768, 0, 2028, 0, 592, 0, 28, 0, 1], 'lmfdb_label': '22848.e2', 'torsion': [12]}
  • id: 1158661
    {'degree': 16, 'field': [48149721, 0, 40430988, 0, 2718396, 0, -2684448, 0, -612954, 0, -42828, 0, -1368, 0, 0, 0, 1], 'lmfdb_label': '22848.e2', 'torsion': [2, 6]}
• 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: 522544
    {'conductor': 22848, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '22848.e2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 522545
    {'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '22848.e2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 522546
    {'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '22848.e2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 522547
    {'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '22848.e2', 'prime': 17, '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: 1816804
    {'adelic_gens': [[1, 0, 8, 1], [2496, 1063, 365, 378], [1, 8, 0, 1], [2689, 8, 2188, 33], [1, 4, 4, 17], [416, 3, 2045, 2], [7, 6, 2850, 2851], [349, 356, 310, 1779], [956, 1, 1927, 6], [2849, 8, 2848, 9]], 'adelic_image': '2856.48.0.?', 'conductor': 22848, 'lmfdb_label': '22848.e2', 'prime': 0}
  • id: 105336
    {'conductor': 22848, 'elladic_image': '4.6.0.1', 'lmfdb_label': '22848.e2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1077661
    {'lmfdb_iso': '22848.e', 'p': 5, 'prec': 20, 'unit': 12275355102334, 'val': 2}
  • id: 1077660
    {'lmfdb_iso': '22848.e', 'p': 11, 'prec': 20, 'unit': 7305470937893428502, 'val': 2}
  • id: 1077666
    {'lmfdb_iso': '22848.e', 'p': 13, 'prec': 20, 'unit': 1071413583843010958536, 'val': 2}
  • id: 1077669
    {'lmfdb_iso': '22848.e', 'p': 19, 'prec': 20, 'unit': 1801920292424175787596283, 'val': 2}
  • id: 1077672
    {'lmfdb_iso': '22848.e', 'p': 23, 'prec': 20, 'unit': 68599911539588110143415785, 'val': 2}
  • id: 1077665
    {'lmfdb_iso': '22848.e', 'p': 29, 'prec': 20, 'unit': 607815615929080262294720362, 'val': 2}
  • id: 1077676
    {'lmfdb_iso': '22848.e', 'p': 37, 'prec': 20, 'unit': 435761715175505323066769065134, 'val': 2}
  • id: 1077663
    {'lmfdb_iso': '22848.e', 'p': 41, 'prec': 20, 'unit': 1673075711132160922645862566883, 'val': 2}
  • id: 1077664
    {'lmfdb_iso': '22848.e', 'p': 43, 'prec': 20, 'unit': 7819800942242722168594410430861, 'val': 2}
  • id: 1077674
    {'lmfdb_iso': '22848.e', 'p': 47, 'prec': 20, 'unit': 15085117518962276924226221265288, 'val': 2}
  • id: 1077670
    {'lmfdb_iso': '22848.e', 'p': 53, 'prec': 20, 'unit': 439252588820379954585768716779103, 'val': 2}
  • id: 1077668
    {'lmfdb_iso': '22848.e', 'p': 59, 'prec': 20, 'unit': 1114911273216798360904263823165108, 'val': 2}
  • id: 1077675
    {'lmfdb_iso': '22848.e', 'p': 61, 'prec': 20, 'unit': 8080313144548621653307172136435093, 'val': 2}
  • id: 1077659
    {'lmfdb_iso': '22848.e', 'p': 67, 'prec': 20, 'unit': 25860581184690973077575356016793186, 'val': 2}
  • id: 1077662
    {'lmfdb_iso': '22848.e', 'p': 71, 'prec': 20, 'unit': 133529237230409950757037148568704712, 'val': 2}
  • id: 1077671
    {'lmfdb_iso': '22848.e', 'p': 73, 'prec': 20, 'unit': 136784810746876898021045354187284896, 'val': 2}
  • id: 1077667
    {'lmfdb_iso': '22848.e', 'p': 79, 'prec': 20, 'unit': 142558153289154447050293897039568647, 'val': 2}
  • id: 1077673
    {'lmfdb_iso': '22848.e', 'p': 89, 'prec': 20, 'unit': 10716502979726744362352512174459865909, 'val': 2}
  • id: 1077658
    {'lmfdb_iso': '22848.e', 'p': 97, 'prec': 20, 'unit': 32957870895702757910777428654794766731, 'val': 2}