Elliptic curve data - 304200.ea2

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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': '304200ea', 'Clabel': '304200ea2', 'Cnumber': 2, 'abc_quality': 1.044679748772945, 'absD': 3420632452148437500000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, 18882825, -83190545750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 304200, 'degree': 43352064, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3900551981345936705498900679', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 104, 'isogeny_degrees': [1, 2], 'jinv': [116227003261808, 533935546875], 'lmfdb_iso': '304200.ea', 'lmfdb_label': '304200.ea2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 83924, 24621076], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.f.1', '52.6.0.c.1', '78.6.0.?', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '22.941553253449994915582765821', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.93269463784480758059369450813', 'prec': 103}, 'szpiro_ratio': 5.054235044390514, '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, 0, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, -2, 0, 6, 0], 'aplist': [0, 0, 0, 2, -4, 0, -2, 6, 0, -10, 2, -8, -2, -4, -8, 2, 0, 10, 2, -12, 8, 8, 16, -6, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 304200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '304200.ea', 'trace_hash': 641511135616651116}
• 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': '0.0011361494647340477807147087425', 'prec': 110}, 'conductor': 304200, 'gens': [[52617335039, 12102476118677712, 965]], 'heights': [{'__RealLiteral__': 0, 'data': '22.941553253449994915582765821', 'prec': 100}], 'lmfdb_label': '304200.ea2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.039988945961749289460002239893', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.3392682666464435803508332454148256367', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[2990, 0, 1]], 'xcoord_integral_points': [2990]}
• lmfdb_label 304200.ea2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12858876
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '304200.ea2', 'torsion': [2, 2]}
  • id: 12858877
    {'degree': 4, 'field': [-975, 0, -65, 0, 1], 'lmfdb_label': '304200.ea2', 'torsion': [4]}
  • id: 12858880
    {'degree': 8, 'field': [-320619, 162604, -26000, -156, 256, -98, 60, -2, 1], 'lmfdb_label': '304200.ea2', 'torsion': [6]}
  • id: 12858878
    {'degree': 8, 'field': [8100, 0, -1215, 0, -6, 0, 6, 0, 1], 'lmfdb_label': '304200.ea2', 'torsion': [2, 4]}
  • id: 12858879
    {'degree': 8, 'field': [1690000, 0, -84500, 0, 2925, 0, -65, 0, 1], 'lmfdb_label': '304200.ea2', 'torsion': [2, 4]}
  • id: 12858881
    {'degree': 16, 'field': [1003052241, 0, -239792400, 0, -47886066, 0, 495504, 0, -158769, 0, -5472, 0, 418, 0, -16, 0, 1], 'lmfdb_label': '304200.ea2', 'torsion': [8]}
  • id: 12858882
    {'degree': 16, 'field': [8185452250, -712276400, 3858987390, -3048569330, 1755038626, -627580800, 172664356, -24307028, 1671333, 501394, -142424, 21708, -3824, 64, 42, -8, 1], 'lmfdb_label': '304200.ea2', '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: 7534397
    {'conductor': 304200, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '304200.ea2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7534398
    {'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '304200.ea2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7534399
    {'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '304200.ea2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 7534400
    {'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '304200.ea2', 'prime': 13, 'reduction_type': 0, '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: 3576067
    {'adelic_gens': [[1, 2, 2, 5], [106, 1, 103, 0], [112, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [1, 4, 0, 1], [41, 118, 116, 39], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 304200, 'lmfdb_label': '304200.ea2', 'prime': 0}
  • id: 1070855
    {'conductor': 304200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '304200.ea2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 304200.ea does not appear in ec_padic