Elliptic curve data - 2790.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': '2790m', 'Clabel': '2790m2', 'Cnumber': 2, 'abc_quality': 0.9664381609246541, 'absD': 224182080, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1860, 'ainvs': [1, -1, 0, -15354, -728460], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2790, 'degree': 4608, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92922210841337986580682270293', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [549131937598369, 307520], 'lmfdb_iso': '2790.e', 'lmfdb_label': '2790.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1706, 26980], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '10.6.0.a.1', '30.48.0-30.a.1.2', '124.6.0.?', '372.48.0.?', '620.12.0.?', '1860.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.37991596407932502010920008447', 'prec': 103}, 'szpiro_ratio': 5.108655316438382, '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, 0, 0, -4, 4, 0, 1, 0, 0, -4, 1], 'aplist': [-1, 0, 1, -4, 0, -4, 0, -4, 6, -6, 1, 8, 6, -10, 0, 0, 12, 14, 8, 0, -4, 8, -6, 18, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 2790, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '2790.e', 'trace_hash': 219719893563395989}
• 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': '0.15591501172438622421032292648', 'prec': 103}, 'conductor': 2790, 'gens': [], 'heights': [], 'lmfdb_label': '2790.e2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.42888697708824061777293650447', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.85777395417648123554587300894599436586', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[-285, 285, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 0], '3': 'a', '5': [1, 0], '31': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '2790.e2'}
• ec_torsion_growth •

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

  
  
  • id: 145000
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '2790.e2', 'torsion': [2, 2]}
  • id: 145001
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '2790.e2', 'torsion': [6]}
  • id: 145002
    {'degree': 3, 'field': [132, 52, -1, 1], 'lmfdb_label': '2790.e2', 'torsion': [6]}
  • id: 145004
    {'degree': 4, 'field': [1, 1, 2, -1, 1], 'lmfdb_label': '2790.e2', 'torsion': [2, 6]}
  • id: 145003
    {'degree': 4, 'field': [180, 0, 21, 0, 1], 'lmfdb_label': '2790.e2', 'torsion': [4]}
  • id: 145006
    {'degree': 6, 'field': [-4805, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2790.e2', 'torsion': [2, 6]}
  • id: 145005
    {'degree': 6, 'field': [22188, 258, -257, -3, 4, -3, 1], 'lmfdb_label': '2790.e2', 'torsion': [3, 6]}
  • id: 145009
    {'degree': 8, 'field': [400, 0, 140, 0, 29, 0, 7, 0, 1], 'lmfdb_label': '2790.e2', 'torsion': [12]}
  • id: 145007
    {'degree': 8, 'field': [6400, 0, -3200, 0, 140, 0, -10, 0, 1], 'lmfdb_label': '2790.e2', 'torsion': [2, 4]}
  • id: 145008
    {'degree': 8, 'field': [6561, 0, -1215, 0, 288, 0, -15, 0, 1], 'lmfdb_label': '2790.e2', 'torsion': [2, 4]}
  • id: 145010
    {'degree': 12, 'field': [33856, -9752, -7311, -1075, 1840, -297, -41, 252, -45, -5, 4, -3, 1], 'lmfdb_label': '2790.e2', 'torsion': [6, 6]}
  • id: 145011
    {'degree': 12, 'field': [7200000, 0, 2713125, 0, 390250, 0, 16549, 0, 353, 0, 2, 0, 1], 'lmfdb_label': '2790.e2', 'torsion': [12]}
  • id: 145013
    {'degree': 16, 'field': [961, 5766, 31837, 8990, -12105, 42044, 27436, -5740, 9704, 2000, 1184, -248, 35, 50, 3, -2, 1], 'lmfdb_label': '2790.e2', 'torsion': [2, 12]}
  • id: 145014
    {'degree': 16, 'field': [6561, 0, -3645, 0, -567, 0, -630, 0, 718, 0, -70, 0, -7, 0, -5, 0, 1], 'lmfdb_label': '2790.e2', 'torsion': [2, 12]}
  • id: 145012
    {'degree': 16, 'field': [2393655625, 0, -1149825750, 0, 233103025, 0, -26989950, 0, 2061360, 0, -109410, 0, 3961, 0, -90, 0, 1], 'lmfdb_label': '2790.e2', 'torsion': [8]}
  • id: 145015
    {'degree': 18, 'field': [29584, -202272, 1283904, -371904, -808488, 771000, 278680, -348780, 109128, -5252, 9762, -14982, 3673, -63, 396, -121, 0, -3, 1], 'lmfdb_label': '2790.e2', 'torsion': [18]}
• 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: 49435
    {'conductor': 2790, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2790.e2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 49436
    {'conductor': 2790, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2790.e2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 49437
    {'conductor': 2790, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2790.e2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 49438
    {'conductor': 2790, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2790.e2', 'prime': 31, '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: 1682182
    {'adelic_gens': [[1, 6, 6, 37], [1, 12, 0, 1], [1849, 12, 1848, 13], [1095, 1708, 1058, 1697], [1801, 12, 1506, 73], [11, 2, 1810, 1851], [1, 0, 12, 1], [1231, 1858, 1182, 1847], [10, 3, 1461, 1852]], 'adelic_image': '1860.96.1.?', 'conductor': 2790, 'lmfdb_label': '2790.e2', 'prime': 0}
  • id: 13941
    {'conductor': 2790, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2790.e2', 'modell_image': '2B', 'prime': 2}
  • id: 13942
    {'conductor': 2790, 'elladic_image': '3.8.0.2', 'lmfdb_label': '2790.e2', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 2790.e does not appear in ec_padic