Elliptic curve data - 2850.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': '2850a', 'Clabel': '2850a4', 'Cnumber': 4, 'abc_quality': 1.0740941067474734, 'absD': 34820142187500, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1140, 'ainvs': [1, 1, 0, -1320586125, -18471882009375], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 2850, 'degree': 576000, 'elladic_images': ['2.3.0.1', '5.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4135480772290881691106333623', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [16300610738133468173382620881, 2228489100], 'lmfdb_iso': '2850.e', 'lmfdb_label': '2850.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -52823445, -147775056075], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '5B.1.3'], 'modm_images': ['2.3.0.a.1', '5.24.0-5.a.2.1', '10.72.0-10.a.1.1', '60.144.1-60.cj.1.2', '76.6.0.?', '380.144.1.?', '1140.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '22.526454557046308790614171869', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 475], [3, 4, 950], [5, 18, 6], [19, 20, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6088291210120379818102536957', 'prec': 100}, 'szpiro_ratio': 9.379878175612316, '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, -1, 1, 0, 1, 2, -1, 1, 0, 2, -1, -4, -2, 0, 1, 2, -1, -1, 0], 'aplist': [-1, -1, 0, 2, 2, -4, 2, -1, -4, 0, -8, -8, -8, 6, 12, 6, 0, 2, -8, -8, -14, 0, -4, 0, 12], 'class_deg': 10, 'class_size': 4, 'conductor': 2850, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '2850.e', 'trace_hash': 565958048803698702}
• 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': '0.0010840013241138614783833605929', 'prec': 110}, 'conductor': 2850, 'gens': [[34076766980, 5485070538042165, 649]], 'heights': [{'__RealLiteral__': 0, 'data': '22.526454557046308790614171869', 'prec': 100}], 'lmfdb_label': '2850.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.025044240873658722052012678683', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2566318158247797965522661730003641167', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-83925, 83925, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '5': 'a', '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2850.e1'}
• ec_torsion_growth •

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

  
  
  • id: 147602
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '2850.e1', 'torsion': [2, 2]}
  • id: 147604
    {'degree': 4, 'field': [1, -1, 1, -1, 1], 'lmfdb_label': '2850.e1', 'torsion': [10]}
  • id: 147603
    {'degree': 4, 'field': [19, 0, -4, 0, 1], 'lmfdb_label': '2850.e1', 'torsion': [4]}
  • id: 147607
    {'degree': 8, 'field': [-754, 2989, -2998, 17, -5, -7, 7, -4, 1], 'lmfdb_label': '2850.e1', 'torsion': [6]}
  • id: 147605
    {'degree': 8, 'field': [334, -462, 547, -118, 209, 70, -3, -2, 1], 'lmfdb_label': '2850.e1', 'torsion': [2, 4]}
  • id: 147606
    {'degree': 8, 'field': [5625, 0, 1220, 0, -526, 0, 4, 0, 1], 'lmfdb_label': '2850.e1', 'torsion': [2, 4]}
  • id: 147608
    {'degree': 8, 'field': [130321, 0, 6859, 0, 361, 0, 19, 0, 1], 'lmfdb_label': '2850.e1', 'torsion': [2, 10]}
  • id: 147609
    {'degree': 10, 'field': [-25920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2850.e1', 'torsion': [10]}
  • id: 147612
    {'degree': 16, 'field': [256, 512, 128, -160, -80, 128, 664, 480, -96, -60, 16, 26, 25, -10, 2, -1, 1], 'lmfdb_label': '2850.e1', 'torsion': [20]}
  • id: 147611
    {'degree': 16, 'field': [2085136, 0, -10816643, 0, 1710418, 0, 338979, 0, -59565, 0, -6441, 0, 703, 0, -38, 0, 1], 'lmfdb_label': '2850.e1', 'torsion': [2, 6]}
  • id: 147610
    {'degree': 16, 'field': [33362176, 0, -22826752, 0, 3540688, 0, 1363136, 0, 305140, 0, 17936, 0, 613, 0, -52, 0, 1], 'lmfdb_label': '2850.e1', 'torsion': [8]}
  • id: 147613
    {'degree': 20, 'field': [26542080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 57600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2850.e1', 'torsion': [5, 10]}
  • id: 147614
    {'degree': 20, 'field': [6003377132041, 0, -3530889806590, 0, 689590519245, 0, -111194599080, 0, 9835311810, 0, -624028788, 0, 27367410, 0, -823080, 0, 16245, 0, -190, 0, 1], 'lmfdb_label': '2850.e1', 'torsion': [2, 10]}
• 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: 50502
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2850.e1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 50503
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2850.e1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 50504
    {'conductor': 2850, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '2850.e1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 50505
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '2850.e1', 'prime': 19, 'reduction_type': -1, '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: 1682546
    {'adelic_gens': [[1121, 20, 1120, 21], [683, 1134, 0, 1139], [761, 6, 0, 1], [6, 5, 625, 46], [126, 13, 875, 956], [1, 10, 10, 101], [1, 0, 20, 1], [11, 16, 900, 791], [1, 20, 0, 1]], 'adelic_image': '1140.288.5.?', 'conductor': 2850, 'lmfdb_label': '2850.e1', 'prime': 0}
  • id: 14207
    {'conductor': 2850, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2850.e1', 'modell_image': '2B', 'prime': 2}
  • id: 14208
    {'conductor': 2850, 'elladic_image': '5.24.0.4', 'lmfdb_label': '2850.e1', 'modell_image': '5B.1.3', 'prime': 5}
• ec_padic •

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

  
  
  • id: 91552
    {'lmfdb_iso': '2850.e', 'p': 7, 'prec': 20, 'unit': 1200611610152676, 'val': 2}
  • id: 91550
    {'lmfdb_iso': '2850.e', 'p': 11, 'prec': 20, 'unit': 60212595429959357404, 'val': 1}
  • id: 91555
    {'lmfdb_iso': '2850.e', 'p': 13, 'prec': 20, 'unit': 1315789229625707370201, 'val': 1}
  • id: 91557
    {'lmfdb_iso': '2850.e', 'p': 17, 'prec': 20, 'unit': 156204377847158275059446, 'val': 1}
  • id: 91561
    {'lmfdb_iso': '2850.e', 'p': 23, 'prec': 20, 'unit': 70724876669735350602687776, 'val': 1}
  • id: 91564
    {'lmfdb_iso': '2850.e', 'p': 31, 'prec': 20, 'unit': 358061097756787404373127519, 'val': 2}
  • id: 91551
    {'lmfdb_iso': '2850.e', 'p': 37, 'prec': 20, 'unit': 507540527087975887339233869714, 'val': 1}
  • id: 91553
    {'lmfdb_iso': '2850.e', 'p': 41, 'prec': 20, 'unit': 3024016889189528488863205661340, 'val': 1}
  • id: 91554
    {'lmfdb_iso': '2850.e', 'p': 43, 'prec': 20, 'unit': 4672006500887778798550933313109, 'val': 1}
  • id: 91556
    {'lmfdb_iso': '2850.e', 'p': 47, 'prec': 20, 'unit': 45249701885687784219798691747779, 'val': 1}
  • id: 91559
    {'lmfdb_iso': '2850.e', 'p': 53, 'prec': 20, 'unit': 185389598847984000241164044294708, 'val': 1}
  • id: 91563
    {'lmfdb_iso': '2850.e', 'p': 61, 'prec': 20, 'unit': 2125190323707194858516638904723647, 'val': 1}
  • id: 91549
    {'lmfdb_iso': '2850.e', 'p': 67, 'prec': 20, 'unit': 32028062728093325880079994671664104, 'val': 1}
  • id: 91562
    {'lmfdb_iso': '2850.e', 'p': 71, 'prec': 20, 'unit': 9678298611496239152677522141397970, 'val': 1}
  • id: 91560
    {'lmfdb_iso': '2850.e', 'p': 73, 'prec': 20, 'unit': 151334776552122301536910813545198391, 'val': 1}
  • id: 91558
    {'lmfdb_iso': '2850.e', 'p': 83, 'prec': 20, 'unit': 1664634470908344592470754257776219376, 'val': 1}
  • id: 91548
    {'lmfdb_iso': '2850.e', 'p': 97, 'prec': 20, 'unit': 42147467109030726571223203200592238247, 'val': 1}