Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'486200bf'
Clabel	text	'486200bf2'
Cnumber	smallint	2
abc_quality	double precision	0.895465001986884
absD	numeric	590976100000000
adelic_genus	integer	0
adelic_index	integer	48
adelic_level	bigint	48620
ainvs	numeric[]	[0, 0, 0, -32575, 1937250]
analytic_rank	smallint	1
bad_primes	integer[]	[2, 5, 11, 13, 17]
class_deg	smallint	4
class_size	smallint	4
cm	smallint	0
conductor	integer	486200
degree	bigint	1228800
elladic_images	text[]	['2.6.0.1']
faltings_height	numeric	1.5577730612647884848481053769
faltings_index	smallint	1
faltings_ratio	smallint	2
intrinsic_torsion	smallint	1
iso_nlabel	smallint	31
isogeny_degrees	smallint[]	[1, 2]
jinv	numeric[]	[955689894864, 147744025]
lmfdb_iso	text	'486200.bf'
lmfdb_label	text	'486200.bf3'
lmfdb_number	smallint	3
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[0, 0, 0, -1303, 15498]
min_quad_twist_disc	smallint	5
modell_images	text[]	['2Cs']
modm_images	text[]	['2.6.0.a.1', '44.12.0-2.a.1.1', '260.12.0.?', '340.12.0.?', '884.12.0.?', '2860.24.0.?', '3740.24.0...
nonmax_primes	smallint[]	[2]
nonmax_rad	integer	2
num_bad_primes	smallint	5
num_int_pts	integer	9
optimality	smallint	3
potential_good_reduction	boolean	False
rank	smallint	1
regulator	numeric	1.7514680711249949224549273235
semistable	boolean	False
serre_invariants	integer[]	[[2, 2, 25], [5, 18, 19448], [11, 12, 44200], [13, 14, 37400], [17, 18, 28600]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	1
squarefree_disc	boolean
stable_faltings_height	numeric	0.29095598467444142460290429598
szpiro_ratio	double precision	3.267624695709926
torsion	smallint	4
torsion_primes	smallint[]	[2]
torsion_structure	smallint[]	[2, 2]

{'Ciso': '11025l', 'Clabel': '11025l2', 'Cnumber': 2, 'absD': 904564557421875, 'ainvs': [0, 0, 1, 0, 1447031], 'analytic_rank': 1, 'bad_primes': [3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 11025, 'degree': 28080, 'elladic_images': ['5.30.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5487554708901012558430806590', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 3, 'id': 71725, 'intrinsic_torsion': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '11025.s', 'lmfdb_label': '11025.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, 1], 'min_quad_twist_disc': 105, 'modell_images': ['5Ns.2.1'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4427402054997012657556973657', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 3675], [3, 2, 1225], [5, 10, 441], [7, 26, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 97}, 'szpiro_ratio': 4.5008113079179655, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}