Elliptic curve search results

Results (29 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
663.b2	663c1	663.b	663c	$2$	$2$	\( 3 \cdot 13 \cdot 17 \)	\( 3^{4} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$884$	$12$	$0$	$0.408384049$	$1$		$9$	$64$	$-0.216677$	$3981876625/232713$	$0.86491$	$3.40246$	$[1, 0, 0, -33, -72]$	\(y^2+xy=x^3-33x-72\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(-3, 3)]$
1989.d2	1989a1	1989.d	1989a	$2$	$2$	\( 3^{2} \cdot 13 \cdot 17 \)	\( 3^{10} \cdot 13^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$1$	$512$	$0.332629$	$3981876625/232713$	$0.86491$	$3.77817$	$[1, -1, 0, -297, 1944]$	\(y^2+xy=x^3-x^2-297x+1944\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[]$
8619.j2	8619j1	8619.j	8619j	$2$	$2$	\( 3 \cdot 13^{2} \cdot 17 \)	\( 3^{4} \cdot 13^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$2.961207782$	$1$		$3$	$10752$	$1.065798$	$3981876625/232713$	$0.86491$	$4.13770$	$[1, 0, 1, -5581, -152605]$	\(y^2+xy+y=x^3-5581x-152605\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(-35, 5)]$
10608.h2	10608o1	10608.h	10608o	$2$	$2$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{4} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$0.688434756$	$1$		$9$	$4096$	$0.476470$	$3981876625/232713$	$0.86491$	$3.28208$	$[0, -1, 0, -528, 4608]$	\(y^2=x^3-x^2-528x+4608\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(24, 72)]$
11271.b2	11271a1	11271.b	11271a	$2$	$2$	\( 3 \cdot 13 \cdot 17^{2} \)	\( 3^{4} \cdot 13^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1.386361727$	$1$		$3$	$18432$	$1.199930$	$3981876625/232713$	$0.86491$	$4.19125$	$[1, 1, 1, -9543, -344196]$	\(y^2+xy+y=x^3+x^2-9543x-344196\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(358, 6323)]$
16575.g2	16575b1	16575.g	16575b	$2$	$2$	\( 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 3^{4} \cdot 5^{6} \cdot 13^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$1$	$9216$	$0.588042$	$3981876625/232713$	$0.86491$	$3.26912$	$[1, 1, 0, -825, -9000]$	\(y^2+xy=x^3+x^2-825x-9000\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[]$
25857.g2	25857f1	25857.g	25857f	$2$	$2$	\( 3^{2} \cdot 13^{2} \cdot 17 \)	\( 3^{10} \cdot 13^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$1$	$86016$	$1.615103$	$3981876625/232713$	$0.86491$	$4.33907$	$[1, -1, 1, -50225, 4120328]$	\(y^2+xy+y=x^3-x^2-50225x+4120328\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[]$
31824.t2	31824r1	31824.t	31824r	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{10} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$2.430422145$	$1$		$5$	$32768$	$1.025776$	$3981876625/232713$	$0.86491$	$3.57008$	$[0, 0, 0, -4755, -119662]$	\(y^2=x^3-4755x-119662\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(-34, 52)]$
32487.b2	32487g1	32487.b	32487g	$2$	$2$	\( 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 3^{4} \cdot 7^{6} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$0.946166399$	$1$		$7$	$23040$	$0.756278$	$3981876625/232713$	$0.86491$	$3.25169$	$[1, 1, 1, -1618, 23078]$	\(y^2+xy+y=x^3+x^2-1618x+23078\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(14, 51)]$
33813.k2	33813e1	33813.k	33813e	$2$	$2$	\( 3^{2} \cdot 13 \cdot 17^{2} \)	\( 3^{10} \cdot 13^{2} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$1$	$147456$	$1.749235$	$3981876625/232713$	$0.86491$	$4.38179$	$[1, -1, 0, -85887, 9207400]$	\(y^2+xy=x^3-x^2-85887x+9207400\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[]$
42432.m2	42432l1	42432.m	42432l	$2$	$2$	\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{18} \cdot 3^{4} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1.557971651$	$1$		$5$	$32768$	$0.823044$	$3981876625/232713$	$0.86491$	$3.24538$	$[0, -1, 0, -2113, -34751]$	\(y^2=x^3-x^2-2113x-34751\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(-29, 36)]$
42432.bv2	42432ck1	42432.bv	42432ck	$2$	$2$	\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{18} \cdot 3^{4} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$0.915201830$	$1$		$7$	$32768$	$0.823044$	$3981876625/232713$	$0.86491$	$3.24538$	$[0, 1, 0, -2113, 34751]$	\(y^2=x^3+x^2-2113x+34751\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(5, 156)]$
49725.i2	49725q1	49725.i	49725q	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 3^{10} \cdot 5^{6} \cdot 13^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$1$	$73728$	$1.137348$	$3981876625/232713$	$0.86491$	$3.54655$	$[1, -1, 1, -7430, 235572]$	\(y^2+xy+y=x^3-x^2-7430x+235572\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[]$
80223.m2	80223o1	80223.m	80223o	$2$	$2$	\( 3 \cdot 11^{2} \cdot 13 \cdot 17 \)	\( 3^{4} \cdot 11^{6} \cdot 13^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$1$	$89600$	$0.982270$	$3981876625/232713$	$0.86491$	$3.23154$	$[1, 0, 1, -3996, 91837]$	\(y^2+xy+y=x^3-3996x+91837\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[]$
97461.t2	97461v1	97461.t	97461v	$2$	$2$	\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 3^{10} \cdot 7^{6} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$9.498746860$	$1$		$1$	$184320$	$1.305584$	$3981876625/232713$	$0.86491$	$3.51453$	$[1, -1, 0, -14562, -637673]$	\(y^2+xy=x^3-x^2-14562x-637673\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(-43234/23, 19363/23)]$
127296.br2	127296u1	127296.br	127296u	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( 2^{18} \cdot 3^{10} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$2.347007818$	$1$		$5$	$262144$	$1.372351$	$3981876625/232713$	$0.86491$	$3.50284$	$[0, 0, 0, -19020, 957296]$	\(y^2=x^3-19020x+957296\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(62, 128)]$
127296.cm2	127296cn1	127296.cm	127296cn	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( 2^{18} \cdot 3^{10} \cdot 13^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$1$	$262144$	$1.372351$	$3981876625/232713$	$0.86491$	$3.50284$	$[0, 0, 0, -19020, -957296]$	\(y^2=x^3-19020x-957296\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[]$
137904.r2	137904bk1	137904.r	137904bk	$2$	$2$	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \)	\( 2^{12} \cdot 3^{4} \cdot 13^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1.412833985$	$1$		$7$	$688128$	$1.758945$	$3981876625/232713$	$0.86491$	$3.87116$	$[0, -1, 0, -89288, 9766704]$	\(y^2=x^3-x^2-89288x+9766704\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(100, 1352)]$
146523.u2	146523bb1	146523.u	146523bb	$2$	$2$	\( 3 \cdot 13^{2} \cdot 17^{2} \)	\( 3^{4} \cdot 13^{8} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$4.847000036$	$1$		$3$	$3096576$	$2.482403$	$3981876625/232713$	$0.86491$	$4.58128$	$[1, 1, 0, -1612770, -748134369]$	\(y^2+xy=x^3+x^2-1612770x-748134369\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(12462, 1377501)]$
180336.ck2	180336l1	180336.ck	180336l	$2$	$2$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( 2^{12} \cdot 3^{4} \cdot 13^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$0.604222723$	$1$		$9$	$1179648$	$1.893076$	$3981876625/232713$	$0.86491$	$3.91834$	$[0, 1, 0, -152688, 21723156]$	\(y^2=x^3+x^2-152688x+21723156\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(300, 1734)]$
215475.m2	215475u1	215475.m	215475u	$2$	$2$	\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( 3^{4} \cdot 5^{6} \cdot 13^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$3.452314197$	$1$		$3$	$1548288$	$1.870516$	$3981876625/232713$	$0.86491$	$3.83950$	$[1, 1, 1, -139513, -19075594]$	\(y^2+xy+y=x^3+x^2-139513x-19075594\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(1266, 42208)]$
239343.e2	239343e1	239343.e	239343e	$2$	$2$	\( 3 \cdot 13 \cdot 17 \cdot 19^{2} \)	\( 3^{4} \cdot 13^{2} \cdot 17 \cdot 19^{6} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$4.430865082$	$1$		$5$	$460800$	$1.255543$	$3981876625/232713$	$0.86491$	$3.21111$	$[1, 1, 0, -11920, 470011]$	\(y^2+xy=x^3+x^2-11920x+470011\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(150, 1369), (22, 457)]$
240669.o2	240669o1	240669.o	240669o	$2$	$2$	\( 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \)	\( 3^{10} \cdot 11^{6} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$7.571921355$	$1$		$3$	$716800$	$1.531576$	$3981876625/232713$	$0.86491$	$3.47700$	$[1, -1, 1, -35960, -2479606]$	\(y^2+xy+y=x^3-x^2-35960x-2479606\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(76948, 21306349)]$
265200.ew2	265200ew1	265200.ew	265200ew	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 13^{2} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1.573926533$	$1$		$19$	$589824$	$1.281189$	$3981876625/232713$	$0.86491$	$3.20937$	$[0, 1, 0, -13208, 549588]$	\(y^2=x^3+x^2-13208x+549588\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(28, 450), (52, 78)]$
281775.bw2	281775bw1	281775.bw	281775bw	$2$	$2$	\( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \)	\( 3^{4} \cdot 5^{6} \cdot 13^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$5.903879390$	$1$		$1$	$2654208$	$2.004650$	$3981876625/232713$	$0.86491$	$3.88568$	$[1, 0, 1, -238576, -42547327]$	\(y^2+xy+y=x^3-238576x-42547327\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(10597/4, 586199/4)]$
350727.f2	350727f1	350727.f	350727f	$2$	$2$	\( 3 \cdot 13 \cdot 17 \cdot 23^{2} \)	\( 3^{4} \cdot 13^{2} \cdot 17 \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$2.490968336$	$1$		$5$	$720896$	$1.351070$	$3981876625/232713$	$0.86491$	$3.20479$	$[1, 0, 0, -17468, 841095]$	\(y^2+xy=x^3-17468x+841095\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(103, 319)]$
413712.co2	413712co1	413712.co	413712co	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{12} \cdot 3^{10} \cdot 13^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$4.941063996$	$1$		$5$	$5505024$	$2.308250$	$3981876625/232713$	$0.86491$	$4.05200$	$[0, 0, 0, -803595, -262897414]$	\(y^2=x^3-803595x-262897414\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(-595, 2144)]$
422331.bm2	422331bm1	422331.bm	422331bm	$2$	$2$	\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \)	\( 3^{4} \cdot 7^{6} \cdot 13^{8} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$12.21697675$	$1$		$5$	$3870720$	$2.038754$	$3981876625/232713$	$0.86491$	$3.79589$	$[1, 1, 0, -273445, 52069984]$	\(y^2+xy=x^3+x^2-273445x+52069984\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(160, 3448), (3060, 165442)]$
439569.v2	439569v1	439569.v	439569v	$2$	$2$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{10} \cdot 13^{8} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$1$	$24772608$	$3.031712$	$3981876625/232713$	$0.86491$	$4.70123$	$[1, -1, 1, -14514935, 20185113030]$	\(y^2+xy+y=x^3-x^2-14514935x+20185113030\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[]$