Elliptic curve data - 20230.p1

Formats: - HTML - YAML - JSON - 2024-05-03T16:46:44.059728

• 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': '20230l', 'Clabel': '20230l1', 'Cnumber': 1, 'abc_quality': 0.9184001885352616, 'absD': 5147288314112000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 680, 'ainvs': [1, 0, 0, -258661, 50730241], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 20230, 'degree': 152064, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8890192639109136175759676810', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1], 'jinv': [-79290863149681, 213248000], 'lmfdb_iso': '20230.p', 'lmfdb_label': '20230.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -895, 9957], 'min_quad_twist_disc': 17, 'modell_images': [], 'modm_images': ['680.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.22504319872586603262605802326', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.47241259188280557745120037206', 'prec': 103}, 'szpiro_ratio': 4.942858956932106, '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, 1, 1, -1, 1, 1, 1, -2, -1, 2, 1, -5, 1, -1, 1, 0, -2, -3, -1], 'aplist': [1, 1, -1, 1, 2, -5, 0, -3, 2, 5, 3, -2, 2, 0, -3, 11, -11, -3, 4, -3, -1, 12, -14, -3, -3], 'class_deg': 1, 'class_size': 1, 'conductor': 20230, 'isogeny_matrix': [[1]], 'lmfdb_iso': '20230.p', 'trace_hash': 2144741189701845722}
• 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': '0.022867501431778293067261296038', 'prec': 107}, 'conductor': 20230, 'gens': [[738, 15815, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.22504319872586603262605802326', 'prec': 103}], 'lmfdb_label': '20230.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.43214735572938055256035519254', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.5581604463752767673878667253015857281', 'prec': 130}, 'tamagawa_product': 88, 'torsion_generators': [], 'xcoord_integral_points': [210, 330, 738]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': [1, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [5, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '20230.p1'}
• ec_torsion_growth •

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

  
  
  • id: 1034301
    {'degree': 3, 'field': [10, -6, -1, 1], 'lmfdb_label': '20230.p1', 'torsion': [2]}
  • id: 1034302
    {'degree': 6, 'field': [270, -360, 171, -20, 2, 0, 1], 'lmfdb_label': '20230.p1', 'torsion': [2, 2]}
  • id: 1034303
    {'degree': 8, 'field': [-306, 306, -66, -239, 110, 1, 1, -4, 1], 'lmfdb_label': '20230.p1', 'torsion': [3]}
  • id: 1034304
    {'degree': 12, 'field': [-4772, -2120, -2070, 648, 212, 756, 171, -36, 13, -52, 1, -4, 1], 'lmfdb_label': '20230.p1', 'torsion': [4]}
• 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: 459253
    {'conductor': 20230, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '20230.p1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 11}
  • id: 459254
    {'conductor': 20230, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '20230.p1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 459255
    {'conductor': 20230, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '20230.p1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 459256
    {'conductor': 20230, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '20230.p1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'adelic_gens': [[1, 1, 679, 0], [241, 2, 241, 3], [341, 2, 341, 3], [511, 2, 511, 3], [1, 0, 2, 1], [1, 2, 0, 1], [137, 2, 137, 3], [679, 2, 678, 3]], 'adelic_image': '680.2.0.?', 'conductor': 20230, 'lmfdb_label': '20230.p1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 940194
    {'lmfdb_iso': '20230.p', 'p': 11, 'prec': 20, 'unit': 592652117048194196562, 'val': 0}
  • id: 940196
    {'lmfdb_iso': '20230.p', 'p': 13, 'prec': 20, 'unit': 73359407381929831574, 'val': 2}
  • id: 940199
    {'lmfdb_iso': '20230.p', 'p': 19, 'prec': 20, 'unit': 149633201791826309777781, 'val': 1}
  • id: 940202
    {'lmfdb_iso': '20230.p', 'p': 23, 'prec': 20, 'unit': 58911137574249542568118515, 'val': 1}
  • id: 940195
    {'lmfdb_iso': '20230.p', 'p': 29, 'prec': 20, 'unit': 777724176983684423567137901, 'val': 1}
  • id: 940206
    {'lmfdb_iso': '20230.p', 'p': 31, 'prec': 20, 'unit': 6446360847159402514289861430, 'val': 1}
  • id: 940191
    {'lmfdb_iso': '20230.p', 'p': 37, 'prec': 20, 'unit': 607651342483039014142662419454, 'val': 1}
  • id: 940193
    {'lmfdb_iso': '20230.p', 'p': 41, 'prec': 20, 'unit': 4224399566474816371674862972782, 'val': 1}
  • id: 940204
    {'lmfdb_iso': '20230.p', 'p': 47, 'prec': 20, 'unit': 25866666718212746199762271639131, 'val': 1}
  • id: 940200
    {'lmfdb_iso': '20230.p', 'p': 53, 'prec': 20, 'unit': 123408280694561020908246176092683, 'val': 1}
  • id: 940198
    {'lmfdb_iso': '20230.p', 'p': 59, 'prec': 20, 'unit': 49165985773885391068359611243476, 'val': 1}
  • id: 940205
    {'lmfdb_iso': '20230.p', 'p': 61, 'prec': 20, 'unit': 1220065699118769438871883554099503, 'val': 1}
  • id: 940190
    {'lmfdb_iso': '20230.p', 'p': 67, 'prec': 20, 'unit': 44470742562933220563190465612908401, 'val': 1}
  • id: 940192
    {'lmfdb_iso': '20230.p', 'p': 71, 'prec': 20, 'unit': 90917304711336714334460441241090324, 'val': 1}
  • id: 940201
    {'lmfdb_iso': '20230.p', 'p': 73, 'prec': 20, 'unit': 178289445080371578741883257644416769, 'val': 1}
  • id: 940197
    {'lmfdb_iso': '20230.p', 'p': 79, 'prec': 20, 'unit': 258488158304234455711990590167494795, 'val': 1}
  • id: 940189
    {'lmfdb_iso': '20230.p', 'p': 83, 'prec': 20, 'unit': 174636841671764072513714686929297234, 'val': 1}
  • id: 940203
    {'lmfdb_iso': '20230.p', 'p': 89, 'prec': 20, 'unit': 9976111310216222021502667411239995688, 'val': 1}
  • id: 940188
    {'lmfdb_iso': '20230.p', 'p': 97, 'prec': 20, 'unit': 13091706421245946786722811133938834426, 'val': 1}