Elliptic curve data - 129430.f3

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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': '129430l', 'Clabel': '129430l1', 'Cnumber': 1, 'abc_quality': 0.9589713214538413, 'absD': 1909427888326676480, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 12040, 'ainvs': [1, -1, 0, -2880164, 1880914000], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 129430, 'degree': 3193344, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4426609282125561671775113655', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [417988868898609, 302059520], 'lmfdb_iso': '129430.f', 'lmfdb_label': '129430.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1558, -23259], 'min_quad_twist_disc': -43, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '56.12.0.y.1', '280.24.0.?', '344.12.0.?', '1204.12.0.?', '1720.24.0.?', '2408.24.0.?', '3010.6.0.?', '6020.24.0.?', '12040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56206087036577495544109010883', 'prec': 103}, 'szpiro_ratio': 4.777349075924948, '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, 1, -1, -3, -1, -4, 0, 2, -1, 0, 1, 6, 3, -4, 1], 'aplist': [-1, 0, 1, 1, -4, 2, 6, -4, -4, -10, 0, 2, 2, 0, 0, 10, 0, -2, 12, -12, -10, 0, -12, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 129430, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '129430.f', 'trace_hash': 539765498969790942}
• 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': '0.0075566912009792098470180876660', 'prec': 110}, 'conductor': 129430, 'gens': [], 'heights': [], 'lmfdb_label': '129430.f3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26081200895928561576322361593', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.78243602687785684728967084779249550550', 'prec': 133}, 'tamagawa_product': 12, 'torsion_generators': [[1000, -500, 1]], 'xcoord_integral_points': [1000]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [2, 4, 0], '5': [3, 0], '7': [1, 0], '43': 'a'}, 'iwp0': 5, 'lmfdb_label': '129430.f3'}
• ec_torsion_growth •

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

  
  
  • id: 5884609
    {'degree': 2, 'field': [-376, -1, 1], 'lmfdb_label': '129430.f3', 'torsion': [2, 2]}
  • id: 5884610
    {'degree': 2, 'field': [-75, -1, 1], 'lmfdb_label': '129430.f3', 'torsion': [4]}
  • id: 5884611
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '129430.f3', 'torsion': [4]}
  • id: 5884612
    {'degree': 4, 'field': [5476, 0, -153, 0, 1], 'lmfdb_label': '129430.f3', 'torsion': [2, 4]}
  • id: 5884616
    {'degree': 8, 'field': [-2000, -6700, 6910, -421, 214, -7, 7, -4, 1], 'lmfdb_label': '129430.f3', 'torsion': [6]}
  • id: 5884614
    {'degree': 8, 'field': [305, 5850, 25333, 22610, 5516, -154, -147, -2, 1], 'lmfdb_label': '129430.f3', 'torsion': [8]}
  • id: 5884613
    {'degree': 8, 'field': [2190400, 0, 90800, 0, -2860, 0, 20, 0, 1], 'lmfdb_label': '129430.f3', 'torsion': [2, 4]}
  • id: 5884615
    {'degree': 8, 'field': [215338775, 8159000, 1855910, -187600, 24251, 36, 136, -4, 1], 'lmfdb_label': '129430.f3', 'torsion': [8]}
  • id: 5884622
    {'degree': 16, 'field': [2802880, 800320, 3805520, -1300320, 998180, -953500, 239539, 179796, -106685, 31080, -2933, -1256, 173, 0, 5, -4, 1], 'lmfdb_label': '129430.f3', 'torsion': [12]}
  • id: 5884621
    {'degree': 16, 'field': [576000000, 0, -196920000, 0, -84873375, 0, -7974000, 0, -760128, 0, -54258, 0, -2256, 0, 0, 0, 1], 'lmfdb_label': '129430.f3', 'torsion': [12]}
  • id: 5884618
    {'degree': 16, 'field': [3925774336, 0, -3576025216, 0, 1114712228, 0, -168747684, 0, 13966813, 0, -654318, 0, 16947, 0, -218, 0, 1], 'lmfdb_label': '129430.f3', 'torsion': [2, 8]}
  • id: 5884617
    {'degree': 16, 'field': [19988587161, 0, 1296640372, 0, 258271618, 0, 5787284, 0, 765635, 0, 2924, 0, 1538, 0, -8, 0, 1], 'lmfdb_label': '129430.f3', 'torsion': [4, 4]}
  • id: 5884619
    {'degree': 16, 'field': [4556474533916, -3718609228664, 5821034074394, -3300548737528, 1015456337921, -182399550192, 22801734524, -2727873488, 412690411, -42011832, 900426, 302664, -19881, -608, -64, 0, 1], 'lmfdb_label': '129430.f3', 'torsion': [2, 8]}
  • id: 5884620
    {'degree': 16, 'field': [12630838798144, 10269476105056, 3062544586788, 379255427768, -54464117497, -20095418244, -1051422119, 433575034, 51260079, -8323436, -1785230, 62496, 30641, -64, -279, -2, 1], 'lmfdb_label': '129430.f3', '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: 3191615
    {'conductor': 129430, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '129430.f3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3191616
    {'conductor': 129430, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '129430.f3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3191617
    {'conductor': 129430, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '129430.f3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 3191618
    {'conductor': 129430, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '129430.f3', 'prime': 43, '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: 2507202
    {'adelic_gens': [[7, 6, 12034, 12035], [4523, 4518, 7530, 1507], [7556, 12039, 10337, 12034], [1, 0, 8, 1], [12033, 8, 12032, 9], [1, 8, 0, 1], [1, 4, 4, 17], [7529, 7528, 1518, 7535], [10328, 3, 3445, 2], [7228, 1, 2431, 6]], 'adelic_image': '12040.48.0.?', 'conductor': 129430, 'lmfdb_label': '129430.f3', 'prime': 0}
  • id: 504160
    {'conductor': 129430, 'elladic_image': '4.6.0.1', 'lmfdb_label': '129430.f3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 129430.f does not appear in ec_padic