Elliptic curve data - 18810.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '18810a', 'Clabel': '18810a1', 'Cnumber': 1, 'abc_quality': 0.8770905195203031, 'absD': 6038461440, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2280, 'ainvs': [1, -1, 0, -570, 6580], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 18810, 'degree': 16640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.59128651809992409602229315532', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [-759299343867, 223646720], 'lmfdb_iso': '18810.e', 'lmfdb_label': '18810.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -570, 6580], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '456.6.0.?', '760.6.0.?', '2280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.80981028634669219531620234750', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.31663344593289667317348184609', 'prec': 103}, 'szpiro_ratio': 3.156113867469959, '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, -1, 0, 1, -1, 0, 4, -1, 0, 1, -1, 0, 2, -4, 0, 1, 2, 0, -1, -1], 'aplist': [-1, 0, -1, 4, -1, 2, 2, -1, 0, -4, -8, 10, -10, -10, 12, 2, -10, 6, 8, -4, -6, -16, -4, 2, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 18810, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '18810.e', 'trace_hash': 707955307127880126}
• 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': '0.30648911558321405990171029349', 'prec': 103}, 'conductor': 18810, 'gens': [[-9, 109, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.80981028634669219531620234750', 'prec': 103}], 'lmfdb_label': '18810.e2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2738755028781891744668839717', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1263899430232915727580074142667915261', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-28, 14, 1]], 'xcoord_integral_points': [-28, -9, 21, 68]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': [3, 0], '7': [1, 0], '11': [1, 0], '13': [3, 0], '17': [3, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '18810.e2'}
• ec_torsion_growth •

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

  
  
  • id: 961545
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '18810.e2', 'torsion': [2, 2]}
  • id: 961546
    {'degree': 4, 'field': [-375, 0, 18, 0, 1], 'lmfdb_label': '18810.e2', 'torsion': [4]}
  • id: 961549
    {'degree': 8, 'field': [-5132, -3235, 3502, -535, 271, -7, 7, -4, 1], 'lmfdb_label': '18810.e2', 'torsion': [6]}
  • id: 961548
    {'degree': 8, 'field': [38191, -24830, 3097, -398, 1234, 142, -11, -2, 1], 'lmfdb_label': '18810.e2', 'torsion': [2, 4]}
  • id: 961547
    {'degree': 8, 'field': [139096, 15292, -11015, 2182, 64, -92, 40, -2, 1], 'lmfdb_label': '18810.e2', 'torsion': [2, 4]}
  • id: 961550
    {'degree': 16, 'field': [1114663, 45650656, -84376260, 76510664, -36124240, -2045736, 149032, -195848, 893781, -607352, 163684, -20592, 1430, 896, -108, -8, 1], 'lmfdb_label': '18810.e2', 'torsion': [8]}
  • id: 961551
    {'degree': 16, 'field': [2953674, -4430475, 302328, 480885, 397665, 497691, 45739, -31426, 26385, -14165, 2198, 57, -133, -35, 15, -4, 1], 'lmfdb_label': '18810.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: 423641
    {'conductor': 18810, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '18810.e2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 423642
    {'conductor': 18810, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '18810.e2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 423643
    {'conductor': 18810, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '18810.e2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 423644
    {'conductor': 18810, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '18810.e2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 423645
    {'conductor': 18810, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '18810.e2', 'prime': 19, '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: 1789620
    {'adelic_gens': [[914, 1, 1823, 0], [1, 2, 2, 5], [1, 4, 0, 1], [1921, 4, 1562, 9], [2277, 4, 2276, 5], [1141, 4, 2, 9], [764, 1, 1519, 0], [857, 1426, 1424, 855], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '2280.12.0.?', 'conductor': 18810, 'lmfdb_label': '18810.e2', 'prime': 0}
  • id: 87872
    {'conductor': 18810, 'elladic_image': '2.3.0.1', 'lmfdb_label': '18810.e2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 867697
    {'lmfdb_iso': '18810.e', 'p': 7, 'prec': 20, 'unit': 7193035532114724, 'val': 1}
  • id: 867701
    {'lmfdb_iso': '18810.e', 'p': 13, 'prec': 20, 'unit': 6242668749027909810, 'val': 3}
  • id: 867703
    {'lmfdb_iso': '18810.e', 'p': 17, 'prec': 20, 'unit': 3020786513669518362243, 'val': 2}
  • id: 867700
    {'lmfdb_iso': '18810.e', 'p': 29, 'prec': 20, 'unit': 5109063092782164355106584449, 'val': 1}
  • id: 867712
    {'lmfdb_iso': '18810.e', 'p': 31, 'prec': 20, 'unit': 18792180494053910933691522050, 'val': 1}
  • id: 867696
    {'lmfdb_iso': '18810.e', 'p': 37, 'prec': 20, 'unit': 9972987984966917952910801933, 'val': 2}
  • id: 867698
    {'lmfdb_iso': '18810.e', 'p': 41, 'prec': 20, 'unit': 535958418579419128268128791025, 'val': 1}
  • id: 867699
    {'lmfdb_iso': '18810.e', 'p': 43, 'prec': 20, 'unit': 3661248521902370331171353696662, 'val': 1}
  • id: 867710
    {'lmfdb_iso': '18810.e', 'p': 47, 'prec': 20, 'unit': 8238837051024771491389071559923, 'val': 1}
  • id: 867705
    {'lmfdb_iso': '18810.e', 'p': 53, 'prec': 20, 'unit': 441717070993335517367341762946725, 'val': 1}
  • id: 867706
    {'lmfdb_iso': '18810.e', 'p': 59, 'prec': 20, 'unit': 3915779425804331804926825951882211, 'val': 1}
  • id: 867711
    {'lmfdb_iso': '18810.e', 'p': 61, 'prec': 20, 'unit': 1892944901129593916573893137991789, 'val': 1}
  • id: 867695
    {'lmfdb_iso': '18810.e', 'p': 67, 'prec': 20, 'unit': 10655312199502903200622430791898688, 'val': 1}
  • id: 867709
    {'lmfdb_iso': '18810.e', 'p': 71, 'prec': 20, 'unit': 21873974007170271429428975357747235, 'val': 1}
  • id: 867707
    {'lmfdb_iso': '18810.e', 'p': 73, 'prec': 20, 'unit': 131702180843416686325376349637185940, 'val': 1}
  • id: 867702
    {'lmfdb_iso': '18810.e', 'p': 79, 'prec': 20, 'unit': 1035616430245122448606303884643504202, 'val': 1}
  • id: 867704
    {'lmfdb_iso': '18810.e', 'p': 83, 'prec': 20, 'unit': 738888606564514575627232409236010965, 'val': 1}
  • id: 867708
    {'lmfdb_iso': '18810.e', 'p': 89, 'prec': 20, 'unit': 6834976445969283762978996722782426513, 'val': 1}
  • id: 867694
    {'lmfdb_iso': '18810.e', 'p': 97, 'prec': 20, 'unit': 48123299608295782695470041806082874018, 'val': 1}