7fff-zip

Member since 2026-08-22 05:29:05 UTC.

Curves (129)

curve	a-invariants	rank	torsion	log N	log \|Δ\|	Faltings height	naive height
#715	`[1, 0, 0, -1679004499732…, 26418612714859…]`	≥ 30	trivial	333.13	407.90	32.87	420.73
#717	`[1, 0, 0, -2052692960467…, 28269786512731…]`	≥ 30	trivial	347.82	412.90	33.12	421.33
#816	`[1, 0, 0, -4082329307875…, 31648198951982…]`	≥ 29	trivial	327.27	390.14	31.37	402.67
#719	`[1, 0, 0, -3551607220526…, 81533224999298…]`	≥ 29	trivial	331.04	436.72	35.32	450.61
#3818	`[1, 0, 0, -4476387259413…, 11274980614518…]`	≥ 28	trivial	267.16	344.00	27.45	354.59
#635	`[1, 0, 0, -7362759937775…, 23646078749575…]`	≥ 28	trivial	306.30	373.35	29.89	383.71
#423	`[1, 0, 0, -2777623740454…, 17457165649209…]`	≥ 28	trivial	299.37	390.84	31.36	401.51
#633	`[1, 0, 0, -4818054992018…, 37879967083194…]`	≥ 28	trivial	320.92	393.70	31.55	403.17
#636	`[0, 1, 0, -8451453402582…, 28863778245289…]`	≥ 28	trivial	344.99	415.44	33.39	425.57
#638	`[1, 0, 0, -2160114071712…, 45527987555658…]`	≥ 28	trivial	348.69	426.90	34.29	435.63
#634	`[1, 0, 0, -3570335928218…, 25939804893999…]`	≥ 28	trivial	368.21	430.07	34.75	443.71
#3820	`[1, -1, 0, -8316587724381…, 30925426164869…]`	≥ 27	trivial	246.86	291.63	23.05	301.30
#3821	`[1, 0, 0, -1425569150578…, 63856309020124…]`	≥ 27	trivial	248.92	306.17	24.29	316.62
#814	`[1, 0, 0, -4943552598545…, 13502437335795…]`	≥ 27	trivial	268.89	329.63	26.29	341.09
#3819	`[1, 0, 0, -1918373892861…, 10114743013354…]`	≥ 27	trivial	242.67	333.86	26.63	345.14
#416	`[1, 0, 0, -2802454225692…, 17664367286108…]`	≥ 27	trivial	325.36	390.94	31.36	401.54
#3824	`[1, 0, 0, -3203533674325…, 21229266551247…]`	≥ 26	trivial	232.67	295.18	23.36	305.23
#3822	`[1, 0, 0, -3506410405399…, 24284761895045…]`	≥ 26	trivial	227.41	309.29	24.54	319.32
#417	`[1, -1, 1, -9072741087856…, 12098701628080…]`	≥ 26	trivial	276.91	327.40	26.01	336.27
#3823	`[1, 0, 0, -3566862264456…, 27759019812225…]`	≥ 26	trivial	231.51	337.62	26.88	347.14
#3902	`[1, -1, 0, -4425108824146…, 35649725560474…]`	≥ 25	trivial	240.07	252.69	19.90	264.75
#3829	`[1, -1, 1, -8571082975466…, 30428223401115…]`	≥ 25	trivial	217.40	261.29	20.63	273.65
#3825	`[1, 0, 0, -3459372289032…, 24560055695247…]`	≥ 25	trivial	207.75	266.27	21.01	277.83
#3826	`[1, 0, 1, -6030254103319…, 60024785549483…]`	≥ 25	trivial	213.18	269.83	21.24	279.60
#3880	`[1, 0, 0, -1311421576771…, 18282241809969…]`	≥ 25	trivial	212.97	266.30	21.20	281.83
#3827	`[1, 0, 0, -1754153798909…, 83849718652993…]`	≥ 25	trivial	213.87	280.04	22.08	289.61
#3828	`[1, -1, 0, -3530921356290…, 81191986818542…]`	≥ 25	trivial	215.11	286.63	22.72	298.63
#3830	`[1, 0, 0, -1826450898202…, 94674887411606…]`	≥ 25	trivial	218.65	304.95	24.27	317.36
#414	`[1, 0, 0, -4179126749228…, 26742720798117…]`	≥ 25	trivial	244.59	311.31	24.66	319.85
#546	`[0, 1, 0, -1824691033242…, 94478240051467…]`	≥ 25	trivial	244.16	318.92	25.43	331.17
#4037	`[0, -1, 0, -1684395392396…, 84255860782057…]`	≥ 24	trivial	212.69	234.67	18.45	248.04
#3903	`[1, -1, 1, -1867095925566…, 19383704514376…]`	≥ 24	trivial	210.11	247.31	19.31	255.26
#3831	`[1, 0, 0, -8077025532831…, 87764197349911…]`	≥ 24	trivial	193.84	254.79	20.06	266.56
#3832	`[0, 1, 0, -1065693155739…, 41964786898793…]`	≥ 24	trivial	196.25	262.82	20.72	274.30
#3833	`[0, 0, 0, -2084062841114…, 36586509997281…]`	≥ 24	trivial	198.42	269.45	21.37	283.22
#3817	`[1, 0, 0, -5023088244082…, 43320531347065…]`	≥ 24	trivial	199.41	277.73	22.12	292.77
#3882	`[1, 0, 1, -4476836485051…, 11552548155581…]`	≥ 23	trivial	196.33	231.10	18.14	244.07
#3881	`[1, -1, 1, -4720150013688…, 12076282525913…]`	≥ 23	trivial	185.79	234.02	18.27	244.23
#3815	`[0, 1, 0, -6214354189123…, 19769111906394…]`	≥ 23	trivial	181.07	235.29	18.36	245.14
#3816	`[1, 0, 0, -1572982400080…, 44191837505825…]`	≥ 23	trivial	173.22	239.97	18.70	247.84
#3884	`[1, 0, 0, -8591186491956…, 29109843399218…]`	≥ 22	trivial	178.02	208.61	16.14	218.39
#3814	`[1, 0, 1, -1208324064247…, 50734085363020…]`	≥ 22	trivial	164.65	207.77	16.14	219.41
#3918	`[1, -1, 1, -1321456503683…, 57127931365304…]`	≥ 22	trivial	170.39	209.13	16.21	219.68
#3885	`[1, -1, 1, -3170616465080…, 25507037642731…]`	≥ 22	trivial	180.69	213.88	16.54	222.63
#3883	`[1, -1, 1, -1371835850523…, 19283941770922…]`	≥ 22	trivial	163.74	215.66	16.77	226.70
#304	`[1, 0, 0, -1998675662524…, 34278416330918…]`	≥ 22	trivial	188.12	229.17	17.96	241.65
#3813	`[1, 0, 0, -9801878445678…, 12058534260744…]`	≥ 22	trivial	170.40	242.71	19.01	253.37
#3886	`[1, 0, 0, -1258388360053…, 17157070715388…]`	≥ 22	trivial	171.51	240.77	18.96	254.07
#3812	`[0, 1, 0, -4566944160470…, 39270205594015…]`	≥ 21	trivial	152.74	185.94	14.25	195.86
#285	`[0, -1, 0, -1083918045849…, 13755098120758…]`	≥ 21	trivial	173.25	198.87	15.47	212.18
#3811	`[0, -1, 0, -2472819512175…, 44260379138221…]`	≥ 21	trivial	156.74	205.12	15.84	214.65
#3916	`[0, 1, 0, -3308406614993…, 23063397043884…]`	≥ 21	trivial	160.42	210.21	16.37	222.44
#286	`[1, -1, 1, -1152569102849…, 18833323594165…]`	≥ 21	trivial	177.88	218.15	16.89	226.63
#412	`[1, 0, 0, -3076118474164…, 22905024024726…]`	≥ 21	trivial	178.43	227.05	17.65	236.23
#410	`[1, -1, 1, -5170975719143…, 45175663847032…]`	≥ 21	trivial	184.12	224.53	17.60	237.59
#3887	`[1, 0, 0, -5289088285297…, 14790330565002…]`	≥ 21	trivial	163.46	230.91	18.15	244.57
#3917	`[1, 0, 0, -5796617593355…, 16065983650291…]`	≥ 21	trivial	162.31	235.14	18.35	244.84
#418	`[1, 0, 0, -8150731417842…, 10148734322864…]`	≥ 21	trivial	287.58	354.58	28.28	363.55
#340	`[1, -1, 0, -4478863882000…, 11480846456140…]`	≥ 20	trivial	169.51	190.54	14.72	202.62
#3888	`[1, -1, 1, -5673102070833…, 16184597021656…]`	≥ 20	trivial	150.79	192.42	14.83	203.33
#3890	`[1, -1, 1, -3180500270674…, 21700196925689…]`	≥ 20	trivial	151.60	210.44	16.37	222.32
#3915	`[1, 0, 0, -4264798624262…, 33721476931318…]`	≥ 20	trivial	147.68	211.19	16.44	223.20
#3891	`[1, 0, 0, -1466639293608…, 22068302031556…]`	≥ 20	trivial	149.69	216.28	16.81	226.94
#329	`[1, 1, 1, -1657581664797…, 25996833738682…]`	≥ 20	trivial	174.46	213.41	16.71	227.27
#3889	`[1, -1, 1, -2054691654614…, 36397308322812…]`	≥ 20	trivial	151.64	216.98	16.88	227.94
#328	`[1, 1, 1, -1738637644733…, 88314544781539…]`	≥ 20	trivial	176.47	220.49	17.29	234.32
#282	`[0, 1, 0, -7243925927858…, 71180727803339…]`	≥ 20	trivial	185.17	228.85	17.82	238.60
#621	`[1, 1, 1, -3144313531552…, 21460313928164…]`	≥ 20	trivial	170.50	229.96	18.41	249.91
#355	`[0, 0, 0, -2528553115672…, 49319408860526…]`	≥ 20	trivial	173.46	244.55	19.20	256.18
#327	`[1, 0, 0, -2622455522825…, 44358788730180…]`	≥ 20	trivial	175.69	247.49	19.35	256.28
#313	`[1, -1, 1, -2201688153834…, 12571948427558…]`	≥ 20	ℤ/2ℤ	216.79	385.44	31.12	400.82
#3914	`[1, -1, 0, -1532843794986…, 21742703900122…]`	≥ 19	trivial	157.64	175.96	13.41	185.59
#292	`[1, 1, 0, -6463890105137…, 19998554362363…]`	≥ 19	trivial	154.36	174.67	13.54	189.91
#290	`[1, -1, 1, -1430641213130…, 64403389265680…]`	≥ 19	trivial	151.41	181.71	13.92	192.29
#322	`[1, -1, 1, -8662150489313…, 89490938437992…]`	≥ 19	trivial	144.60	188.46	14.44	197.69
#341	`[1, -1, 0, -3084587601676…, 65997762542852…]`	≥ 19	trivial	156.88	187.71	14.56	201.50
#294	`[0, 1, 0, -4101421576978…, 10100783138291…]`	≥ 19	trivial	150.45	188.59	14.63	202.36
#331	`[1, 1, 0, -1976589981599…, 93070638926001…]`	≥ 19	trivial	153.30	198.20	15.24	207.07
#334	`[1, -1, 0, -2008805871910…, 10587070699068…]`	≥ 19	trivial	160.41	196.96	15.18	207.12
#333	`[1, 0, 0, -2389110518868…, 14196012150934…]`	≥ 19	trivial	156.85	194.18	15.08	207.64
#281	`[1, 0, 0, -2620963113310…, 16293457063716…]`	≥ 19	trivial	159.07	195.11	15.13	207.92
#3892	`[1, -1, 1, -4918626708330…, 42971607142455…]`	≥ 19	trivial	138.12	199.31	15.39	209.86
#332	`[1, 1, 1, -8789621129176…, 10032036623674…]`	≥ 19	trivial	154.37	196.26	15.35	211.55
#335	`[1, -1, 1, -1096484663303…, 14831224909223…]`	≥ 19	trivial	162.14	202.69	15.64	212.33
#296	`[1, 0, 0, -3190204396715…, 66819798277603…]`	≥ 19	trivial	158.60	205.33	15.88	215.42
#330	`[0, -1, 0, -4828861268377…, 12887550036122…]`	≥ 19	trivial	156.30	203.77	15.86	216.66
#339	`[1, 1, 0, -4918297554360…, 13244459911694…]`	≥ 19	trivial	172.91	203.92	15.87	216.72
#323	`[1, 0, 0, -4885832009149…, 13965569369020…]`	≥ 19	trivial	159.59	207.19	16.01	216.82
#338	`[1, 1, 1, -8556314674380…, 30545123720525…]`	≥ 19	trivial	160.90	205.70	16.01	218.38
#637	`[1, 0, 0, -8799554752512…, 31781550723053…]`	≥ 19	trivial	139.85	203.63	15.94	218.46
#342	`[1, 1, 1, -1391553064700…, 63223760170886…]`	≥ 19	trivial	175.94	205.74	16.08	219.84
#320	`[1, 0, 0, -3487873891980…, 24443456667622…]`	≥ 19	trivial	159.54	212.13	16.46	222.59
#293	`[1, -1, 0, -5903488565485…, 55188035745958…]`	≥ 19	trivial	170.67	209.54	16.42	224.17
#336	`[1, -1, 1, -1556258089679…, 23456109321321…]`	≥ 19	trivial	156.42	215.41	16.78	227.08
#295	`[1, 0, 1, -1737623861410…, 27567969093931…]`	≥ 19	trivial	167.11	216.15	16.82	227.41
#291	`[1, 0, 0, -3235689396243…, 70815900914955…]`	≥ 19	trivial	165.75	214.65	16.85	229.28
#343	`[1, -1, 1, -4328588152353…, 10961498966678…]`	≥ 19	trivial	176.62	211.30	16.79	230.15
#337	`[1, 0, 0, -1622682797685…, 41794466887288…]`	≥ 19	trivial	162.63	226.34	17.56	234.11
#321	`[1, -1, 1, -2521604575949…, 15199478795713…]`	≥ 19	trivial	156.95	224.38	17.50	235.44
#297	`[1, -1, 1, -1020568041189…, 12353237625156…]`	≥ 19	trivial	174.17	242.52	19.01	253.45
#312	`[1, -1, 1, -6568019580778…, 63570487024691…]`	≥ 19	ℤ/2ℤ	192.85	338.09	26.96	348.83
#3913	`[0, 0, 0, -4166524067493…, 10340681841173…]`	≥ 18	trivial	133.25	161.16	12.34	174.77
#324	`[1, 0, 1, -1000664131356…, 12262133853164…]`	≥ 18	trivial	141.65	172.51	13.21	184.32
#4026	`[1, 0, 0, -1523876251498…, 20751154116233…]`	≥ 18	trivial	125.33	176.39	13.43	185.57
#307	`[1, 0, 0, -1474705521041…, 68901672366892…]`	≥ 18	ℤ/2ℤ	149.80	288.33	22.98	302.90
#310	`[1, 0, 0, -1873940813132…, 98716542165119…]`	≥ 18	ℤ/2ℤ	164.54	288.40	23.02	303.62
#311	`[1, 0, 0, -4727234268812…, -4294150883777…]`	≥ 18	ℤ/2ℤ	189.76	347.17	27.62	354.75
#3912	`[1, 0, 0, -1833958817674…, 95594724490422…]`	≥ 17	trivial	124.08	146.03	11.38	165.40
#308	`[0, 0, 0, 0, 24537619889008…]`	≥ 17	trivial	155.36	164.44	12.38	171.89
#309	`[1, 0, 1, -1392478974260…, -1217114826246…]`	≥ 17	ℤ/2ℤ	161.57	287.91	22.69	295.82
#683	`[1, -1, 1, -3980003539856…, 14278165486418…]`	≥ 16	trivial	98.07	125.71	9.17	133.19
#4042	`[1, -1, 1, -5555448749404…, 17067574579725…]`	≥ 16	trivial	101.95	124.82	9.15	134.33
#3911	`[1, 1, 0, -7523735096714…, -2634878899180…]`	≥ 16	trivial	111.88	134.55	9.90	142.01
#682	`[1, 0, 0, -3180985009490…, 21842327450443…]`	≥ 16	trivial	100.12	138.18	10.50	153.24
#3810	`[1, -1, 1, -9646294246971…, 61409182828693…]`	≥ 16	trivial	107.40	148.78	11.10	156.57
#3809	`[1, 0, 0, -1139640908065…, 47583450462694…]`	≥ 16	trivial	107.67	153.10	11.55	164.01
#305	`[0, 0, 0, 0, -1268312930510…]`	≥ 15	trivial	122.91	130.88	9.59	138.34
#306	`[1, 0, 1, -1906355408328…, 99001560981475…]`	≥ 15	ℤ/2ℤ	147.23	265.49	20.91	276.04
#491	`[0, -1, 0, -4198748675932…, 10467745656896…]`	≥ 14	trivial	98.09	104.95	7.70	119.53
#3910	`[0, 0, 1, -628089007, 12966075470706]`	≥ 12	trivial	66.21	66.21	4.21	73.91
#3909	`[0, -1, 1, -71678910, 360169416462]`	≥ 11	trivial	58.74	58.74	3.59	66.74
#3908	`[1, -1, 1, -27999, 5048034]`	≥ 8	trivial	36.80	36.80	1.75	44.39
#3907	`[1, -1, 0, -15304, 737284]`	≥ 7	trivial	28.03	28.73	1.22	40.53
#3906	`[1, 1, 1, -1277, 5402]`	≥ 6	trivial	24.40	25.49	0.82	33.07
#3904	`[1, -1, 0, -1234, 16624]`	≥ 5	trivial	17.81	22.39	0.65	32.97
#3905	`[1, 1, 0, -17527, 877765]`	≥ 5	ℤ/2ℤ	20.88	29.46	1.27	40.93
#298	`[0, 0, 0, 0, 10000000000140…]`	≥ 2	trivial	108.85	116.59	8.39	124.05
#299	`[0, 0, 0, 0, 10000000005900…]`	≥ 2	trivial	104.46	116.59	8.39	124.05
#3901	`[0, 0, 0, -7, 6]`	≥ 0	ℤ/2ℤ × ℤ/2ℤ	4.38	8.76	-0.55	17.45

Contributions to other curves (2)

curve	a-invariants	contribution	rank	when
#208	`[1, 0, 0, -304695382156188407658584613236, 64760983700857400691050362439563148137462416]`	improved rank ≥ 12 → ≥ 13	13	2026-09-17 20:28:43 UTC
#287	`[0, 1, 0, -282081209084769804505293, -57664608560601805089739376623616957]`	improved rank ≥ 1 → ≥ 2	2	2026-09-10 12:29:17 UTC