Elliptic curve data - 2574.e1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2574m', 'Clabel': '2574m3', 'Cnumber': 3, 'abc_quality': 1.0400391704321605, 'absD': 1412930444766984, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, -1, 0, -119403, 15807325], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2574, 'degree': 18432, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7371649490193097974524759655', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [258252149810350513, 1938176193096], 'lmfdb_iso': '2574.e', 'lmfdb_label': '2574.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -13267, -589879], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '24.24.0-8.m.1.7', '44.12.0-4.c.1.1', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9866017841514336282171172571', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 99], [3, 6, 143], [11, 12, 234], [13, 14, 198]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1878588046852549517548533470', 'prec': 100}, 'szpiro_ratio': 5.9446199177478345, '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, -2, 0, 4, -1, 0, 2, 1, 0, -1, -4, 0, 1, -2, 0, -4, -2], 'aplist': [-1, 0, -2, 4, 1, -1, -2, -4, -4, 2, 0, -2, -10, -4, 4, -2, 4, 10, -4, -12, 2, -4, 12, -2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 2574, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2574.e', 'trace_hash': 427569058545212235}
• 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': '0.030982588361801619014388273621', 'prec': 107}, 'conductor': 2574, 'gens': [[225, 430, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.9866017841514336282171172571', 'prec': 100}], 'lmfdb_label': '2574.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.48232038313172078902069929137', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4051396830572419191012132588621247756', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[851, -851, 2]], 'xcoord_integral_points': [225]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2574.e1'}
• ec_torsion_growth •

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

  
  
  • id: 133204
    {'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '2574.e1', 'torsion': [2, 2]}
  • id: 133205
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '2574.e1', 'torsion': [4]}
  • id: 133206
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '2574.e1', 'torsion': [4]}
  • id: 133207
    {'degree': 4, 'field': [25, 0, -34, 0, 1], 'lmfdb_label': '2574.e1', 'torsion': [2, 4]}
  • id: 133211
    {'degree': 8, 'field': [256, -192, 16, -56, 48, -14, 1, -3, 1], 'lmfdb_label': '2574.e1', 'torsion': [6]}
  • id: 133209
    {'degree': 8, 'field': [526, 250, -677, -230, 265, 46, -35, -2, 1], 'lmfdb_label': '2574.e1', 'torsion': [8]}
  • id: 133210
    {'degree': 8, 'field': [4356, 0, 528, 0, -2, 0, 8, 0, 1], 'lmfdb_label': '2574.e1', 'torsion': [8]}
  • id: 133208
    {'degree': 8, 'field': [67929, -8556, 8082, 936, -437, -40, 18, -4, 1], 'lmfdb_label': '2574.e1', 'torsion': [2, 4]}
  • id: 133213
    {'degree': 16, 'field': [1, 0, -12, 0, 172, 0, 360, 0, 639, 0, 360, 0, 172, 0, -12, 0, 1], 'lmfdb_label': '2574.e1', 'torsion': [2, 8]}
  • id: 133214
    {'degree': 16, 'field': [36100, 168720, 246648, 6648, -302288, -215064, 71112, 125604, 18309, -25356, -8262, 2100, 1042, -60, -54, 0, 1], 'lmfdb_label': '2574.e1', 'torsion': [2, 8]}
  • id: 133217
    {'degree': 16, 'field': [589824, 0, -884736, 0, 440320, 0, -133632, 0, 46608, 0, -12784, 0, 1596, 0, -60, 0, 1], 'lmfdb_label': '2574.e1', 'torsion': [12]}
  • id: 133212
    {'degree': 16, 'field': [24000201, 0, 21828780, 0, 7029150, 0, 621600, 0, -20609, 0, 280, 0, 450, 0, -20, 0, 1], 'lmfdb_label': '2574.e1', 'torsion': [4, 4]}
  • id: 133216
    {'degree': 16, 'field': [29337669, 222995556, 13511575, -84474402, 1828534, 20512468, -1154043, -3228434, 454742, 279708, -50479, -14662, 2766, 428, -77, -6, 1], 'lmfdb_label': '2574.e1', 'torsion': [12]}
  • id: 133215
    {'degree': 16, 'field': [2158903296, 0, -4808466432, 0, 1188858880, 0, -146675232, 0, 9513504, 0, -357896, 0, 8580, 0, -132, 0, 1], 'lmfdb_label': '2574.e1', '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: 44737
    {'conductor': 2574, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2574.e1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 44738
    {'conductor': 2574, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '2574.e1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 44739
    {'conductor': 2574, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2574.e1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 44740
    {'conductor': 2574, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '2574.e1', 'prime': 13, '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: 1680741
    {'adelic_gens': [[52, 1, 167, 6], [172, 263, 65, 258], [1, 0, 8, 1], [232, 107, 169, 198], [1, 8, 0, 1], [235, 232, 122, 237], [7, 6, 258, 259], [1, 4, 4, 17], [257, 8, 256, 9]], 'adelic_image': '264.48.0.?', 'conductor': 2574, 'lmfdb_label': '2574.e1', 'prime': 0}
  • id: 12822
    {'conductor': 2574, 'elladic_image': '8.12.0.11', 'lmfdb_label': '2574.e1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 80257
    {'lmfdb_iso': '2574.e', 'p': 5, 'prec': 20, 'unit': 5582101287948, 'val': 1}
  • id: 80258
    {'lmfdb_iso': '2574.e', 'p': 7, 'prec': 20, 'unit': 3034167913185509, 'val': 1}
  • id: 80263
    {'lmfdb_iso': '2574.e', 'p': 17, 'prec': 20, 'unit': 231908583829161697409202, 'val': 1}
  • id: 80254
    {'lmfdb_iso': '2574.e', 'p': 19, 'prec': 20, 'unit': 358085167782937411741783, 'val': 1}
  • id: 80268
    {'lmfdb_iso': '2574.e', 'p': 23, 'prec': 20, 'unit': 47732293177740126379233109, 'val': 1}
  • id: 80261
    {'lmfdb_iso': '2574.e', 'p': 29, 'prec': 20, 'unit': 1339914512228121570955909364, 'val': 1}
  • id: 80273
    {'lmfdb_iso': '2574.e', 'p': 37, 'prec': 20, 'unit': 215343109422661205215289710462, 'val': 1}
  • id: 80259
    {'lmfdb_iso': '2574.e', 'p': 41, 'prec': 20, 'unit': 972859939083724967179902953069, 'val': 1}
  • id: 80260
    {'lmfdb_iso': '2574.e', 'p': 43, 'prec': 20, 'unit': 6345648075610536012013962385312, 'val': 1}
  • id: 80271
    {'lmfdb_iso': '2574.e', 'p': 47, 'prec': 20, 'unit': 43173776894418324670888626779128, 'val': 1}
  • id: 80265
    {'lmfdb_iso': '2574.e', 'p': 53, 'prec': 20, 'unit': 329147022329712225034297601569675, 'val': 1}
  • id: 80266
    {'lmfdb_iso': '2574.e', 'p': 59, 'prec': 20, 'unit': 2725981361917391886527774075450513, 'val': 1}
  • id: 80272
    {'lmfdb_iso': '2574.e', 'p': 61, 'prec': 20, 'unit': 2517818271155112419472926333537111, 'val': 1}
  • id: 80256
    {'lmfdb_iso': '2574.e', 'p': 67, 'prec': 20, 'unit': 41444905581320798575316029346278083, 'val': 1}
  • id: 80270
    {'lmfdb_iso': '2574.e', 'p': 71, 'prec': 20, 'unit': 77544518394018429352311775520587140, 'val': 1}
  • id: 80267
    {'lmfdb_iso': '2574.e', 'p': 73, 'prec': 20, 'unit': 198431268975095019212971320472760396, 'val': 1}
  • id: 80262
    {'lmfdb_iso': '2574.e', 'p': 79, 'prec': 20, 'unit': 395759500159981650836191882068757855, 'val': 1}
  • id: 80264
    {'lmfdb_iso': '2574.e', 'p': 83, 'prec': 20, 'unit': 453420432971269295358547667314552476, 'val': 1}
  • id: 80269
    {'lmfdb_iso': '2574.e', 'p': 89, 'prec': 20, 'unit': 6028685652505298971092969340246937927, 'val': 1}
  • id: 80255
    {'lmfdb_iso': '2574.e', 'p': 97, 'prec': 20, 'unit': 44937576351674810732727047176356190478, 'val': 1}