Elliptic curve data - 900.e2

Formats: - HTML - YAML - JSON - 2024-05-05T10:14:04.075118

• 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': '900d', 'Clabel': '900d1', 'Cnumber': 1, 'abc_quality': 1.029908311854535, 'absD': 125971200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 30, 'ainvs': [0, 0, 0, -120, 740], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 900, 'degree': 288, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.25521686093147883831870045180', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [-40960, 27], 'lmfdb_iso': '900.e', 'lmfdb_label': '900.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -13, -23], 'min_quad_twist_disc': -3, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.24.0.c.1', '15.8.0-3.a.1.1', '30.48.0-6.c.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.11415580857184236805727758309', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0244270558482229427572034698', 'prec': 103}, 'szpiro_ratio': 3.930446091449494, '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, 0, 0, 0, 0, 1, 0, 0, 0, -6, 0, -5, 0, 0, 0, -6, 0, 5, 0], 'aplist': [0, 0, 0, 1, -6, -5, -6, 5, -6, 6, -1, -2, 0, 1, 6, -12, 6, -13, -11, 0, -2, 8, -6, 0, 7], 'class_deg': 3, 'class_size': 2, 'conductor': 900, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '900.e', 'trace_hash': 1362338349390203175}
• 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': '0.60023518722396998171953440165', 'prec': 103}, 'conductor': 900, 'gens': [[16, 54, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.11415580857184236805727758309', 'prec': 103}], 'lmfdb_label': '900.e2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.7136269959097412500964085333', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3474457037033647214030890886071028352', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [-11, -4, 4, 16]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '900.e2'}
• ec_torsion_growth •

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

  
  
  • id: 42949
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '900.e2', 'torsion': [3]}
  • id: 42950
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '900.e2', 'torsion': [2]}
  • id: 42952
    {'degree': 6, 'field': [1, -1, 0, -5, 0, -1, 1], 'lmfdb_label': '900.e2', 'torsion': [6]}
  • id: 42951
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '900.e2', 'torsion': [2, 2]}
  • id: 42953
    {'degree': 6, 'field': [6, -6, 10, -5, 5, -1, 1], 'lmfdb_label': '900.e2', 'torsion': [6]}
  • id: 42954
    {'degree': 12, 'field': [-6, 20, -12, -40, 70, -60, 40, -40, 30, -10, -2, 0, 1], 'lmfdb_label': '900.e2', 'torsion': [4]}
  • id: 42955
    {'degree': 12, 'field': [1, -1, 1, 10, -5, -1, 26, -1, -5, 10, 1, -1, 1], 'lmfdb_label': '900.e2', 'torsion': [6, 6]}
  • id: 42956
    {'degree': 18, 'field': [19441, -58854, 97758, -97231, 64110, -24819, 4106, 3078, -3576, 2765, -1047, 153, 104, -33, 30, -16, 9, -3, 1], 'lmfdb_label': '900.e2', '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: 12037
    {'conductor': 900, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '900.e2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 12038
    {'conductor': 900, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '900.e2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 12039
    {'conductor': 900, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '900.e2', 'prime': 5, '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: 1670268
    {'adelic_gens': [[1, 0, 6, 1], [25, 6, 24, 7], [5, 6, 18, 29], [2, 5, 1, 3], [9, 14, 5, 9], [1, 6, 0, 1]], 'adelic_image': '30.48.0.?', 'conductor': 900, 'lmfdb_label': '900.e2', 'prime': 0}
  • id: 4203
    {'conductor': 900, 'elladic_image': '3.4.0.1', 'lmfdb_label': '900.e2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 19292
    {'lmfdb_iso': '900.e', 'p': 7, 'prec': 20, 'unit': 22921141735862628, 'val': -1}
  • id: 19290
    {'lmfdb_iso': '900.e', 'p': 11, 'prec': 20, 'unit': 59091892817632121125, 'val': 1}
  • id: 19296
    {'lmfdb_iso': '900.e', 'p': 13, 'prec': 20, 'unit': 1429204512752309171, 'val': 2}
  • id: 19298
    {'lmfdb_iso': '900.e', 'p': 17, 'prec': 20, 'unit': 95056443482777448845011, 'val': 1}
  • id: 19299
    {'lmfdb_iso': '900.e', 'p': 19, 'prec': 20, 'unit': 1531016247466646634499026, 'val': 1}
  • id: 19302
    {'lmfdb_iso': '900.e', 'p': 23, 'prec': 20, 'unit': 712515476205505060025126, 'val': 2}
  • id: 19295
    {'lmfdb_iso': '900.e', 'p': 29, 'prec': 20, 'unit': 5709400892499711679575193808, 'val': 1}
  • id: 19306
    {'lmfdb_iso': '900.e', 'p': 31, 'prec': 20, 'unit': 20989262417193260362434699354, 'val': 1}
  • id: 19291
    {'lmfdb_iso': '900.e', 'p': 37, 'prec': 20, 'unit': 445964946517885651420761907004, 'val': 1}
  • id: 19294
    {'lmfdb_iso': '900.e', 'p': 43, 'prec': 20, 'unit': 41589606773310789716785539584853, 'val': -1}
  • id: 19304
    {'lmfdb_iso': '900.e', 'p': 47, 'prec': 20, 'unit': 29633791285724039496169500673562, 'val': 1}
  • id: 19300
    {'lmfdb_iso': '900.e', 'p': 53, 'prec': 20, 'unit': 213293394604040965470487690501855, 'val': 1}
  • id: 19301
    {'lmfdb_iso': '900.e', 'p': 59, 'prec': 20, 'unit': 3766360212611188815261116325235348, 'val': 1}
  • id: 19305
    {'lmfdb_iso': '900.e', 'p': 61, 'prec': 20, 'unit': 8217762745450409204473281971221359, 'val': 1}
  • id: 19289
    {'lmfdb_iso': '900.e', 'p': 67, 'prec': 20, 'unit': 41121945082809860492895342900187488, 'val': 1}
  • id: 19293
    {'lmfdb_iso': '900.e', 'p': 73, 'prec': 20, 'unit': 206186286892229158573474091005128880, 'val': 1}
  • id: 19297
    {'lmfdb_iso': '900.e', 'p': 79, 'prec': 20, 'unit': 174057720047328329850462936553584291, 'val': 1}
  • id: 19303
    {'lmfdb_iso': '900.e', 'p': 83, 'prec': 20, 'unit': 1614160648393406049870472778099449909, 'val': 1}
  • id: 19288
    {'lmfdb_iso': '900.e', 'p': 97, 'prec': 20, 'unit': 43369260655081274289204356096939763009, 'val': 1}