Elliptic curve search results

Results (18 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
1462.b2	1462b1	1462.b	1462b	$2$	$2$	\( 2 \cdot 17 \cdot 43 \)	\( 2^{4} \cdot 17 \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$1$	$288$	$-0.120785$	$21230922609/502928$	$0.86112$	$3.26292$	$[1, -1, 1, -58, -151]$	\(y^2+xy+y=x^3-x^2-58x-151\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[]$
11696.g2	11696j1	11696.g	11696j	$2$	$2$	\( 2^{4} \cdot 17 \cdot 43 \)	\( 2^{16} \cdot 17 \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$2.011549834$	$1$		$3$	$6912$	$0.572362$	$21230922609/502928$	$0.86112$	$3.42655$	$[0, 0, 0, -923, 10570]$	\(y^2=x^3-923x+10570\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[(15, 10)]$
13158.a2	13158g1	13158.a	13158g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 17 \cdot 43 \)	\( 2^{4} \cdot 3^{6} \cdot 17 \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$0.764240001$	$1$		$7$	$9216$	$0.428521$	$21230922609/502928$	$0.86112$	$3.20201$	$[1, -1, 0, -519, 4589]$	\(y^2+xy=x^3-x^2-519x+4589\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[(10, 13)]$
24854.e2	24854d1	24854.e	24854d	$2$	$2$	\( 2 \cdot 17^{2} \cdot 43 \)	\( 2^{4} \cdot 17^{7} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$1$	$82944$	$1.295822$	$21230922609/502928$	$0.86112$	$4.02914$	$[1, -1, 1, -16672, -807245]$	\(y^2+xy+y=x^3-x^2-16672x-807245\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[]$
36550.i2	36550f1	36550.i	36550f	$2$	$2$	\( 2 \cdot 5^{2} \cdot 17 \cdot 43 \)	\( 2^{4} \cdot 5^{6} \cdot 17 \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$2.206109917$	$1$		$3$	$23040$	$0.683934$	$21230922609/502928$	$0.86112$	$3.18237$	$[1, -1, 0, -1442, -20284]$	\(y^2+xy=x^3-x^2-1442x-20284\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[(-20, 26)]$
46784.n2	46784s1	46784.n	46784s	$2$	$2$	\( 2^{6} \cdot 17 \cdot 43 \)	\( 2^{22} \cdot 17 \cdot 43^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$3.359396069$	$1$		$9$	$55296$	$0.918936$	$21230922609/502928$	$0.86112$	$3.37156$	$[0, 0, 0, -3692, 84560]$	\(y^2=x^3-3692x+84560\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[(16, 172), (28, 56)]$
46784.o2	46784f1	46784.o	46784f	$2$	$2$	\( 2^{6} \cdot 17 \cdot 43 \)	\( 2^{22} \cdot 17 \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$1$	$55296$	$0.918936$	$21230922609/502928$	$0.86112$	$3.37156$	$[0, 0, 0, -3692, -84560]$	\(y^2=x^3-3692x-84560\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[]$
62866.b2	62866b1	62866.b	62866b	$2$	$2$	\( 2 \cdot 17 \cdot 43^{2} \)	\( 2^{4} \cdot 17 \cdot 43^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$1$	$532224$	$1.759815$	$21230922609/502928$	$0.86112$	$4.19467$	$[1, -1, 0, -106664, 13157744]$	\(y^2+xy=x^3-x^2-106664x+13157744\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[]$
71638.t2	71638q1	71638.t	71638q	$2$	$2$	\( 2 \cdot 7^{2} \cdot 17 \cdot 43 \)	\( 2^{4} \cdot 7^{6} \cdot 17 \cdot 43^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$2.622926024$	$1$		$13$	$110592$	$0.852170$	$21230922609/502928$	$0.86112$	$3.17139$	$[1, -1, 1, -2827, 57355]$	\(y^2+xy+y=x^3-x^2-2827x+57355\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[(37, 30), (143/2, 111/2)]$
105264.f2	105264cb1	105264.f	105264cb	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 17 \cdot 43 \)	\( 2^{16} \cdot 3^{6} \cdot 17 \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$2.009604064$	$1$		$3$	$221184$	$1.121668$	$21230922609/502928$	$0.86112$	$3.34550$	$[0, 0, 0, -8307, -285390]$	\(y^2=x^3-8307x-285390\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[(-57, 54)]$
176902.a2	176902f1	176902.a	176902f	$2$	$2$	\( 2 \cdot 11^{2} \cdot 17 \cdot 43 \)	\( 2^{4} \cdot 11^{6} \cdot 17 \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$1$	$403200$	$1.078163$	$21230922609/502928$	$0.86112$	$3.15857$	$[1, -1, 0, -6980, 221568]$	\(y^2+xy=x^3-x^2-6980x+221568\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[]$
198832.k2	198832f1	198832.k	198832f	$2$	$2$	\( 2^{4} \cdot 17^{2} \cdot 43 \)	\( 2^{16} \cdot 17^{7} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$2.687153006$	$1$		$5$	$1990656$	$1.988970$	$21230922609/502928$	$0.86112$	$4.02417$	$[0, 0, 0, -266747, 51930410]$	\(y^2=x^3-266747x+51930410\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[(-17, 7514)]$
223686.bb2	223686bw1	223686.bb	223686bw	$2$	$2$	\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{6} \cdot 17^{7} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$1$	$2654208$	$1.845127$	$21230922609/502928$	$0.86112$	$3.84557$	$[1, -1, 0, -150045, 21945653]$	\(y^2+xy=x^3-x^2-150045x+21945653\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[]$
247078.h2	247078h1	247078.h	247078h	$2$	$2$	\( 2 \cdot 13^{2} \cdot 17 \cdot 43 \)	\( 2^{4} \cdot 13^{6} \cdot 17 \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1.297539206$	$1$		$7$	$663552$	$1.161690$	$21230922609/502928$	$0.86112$	$3.15430$	$[1, -1, 0, -9749, -360411]$	\(y^2+xy=x^3-x^2-9749x-360411\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[(-58, 115)]$
292400.bk2	292400bk1	292400.bk	292400bk	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 17 \cdot 43 \)	\( 2^{16} \cdot 5^{6} \cdot 17 \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$2.757847706$	$1$		$5$	$552960$	$1.377081$	$21230922609/502928$	$0.86112$	$3.31746$	$[0, 0, 0, -23075, 1321250]$	\(y^2=x^3-23075x+1321250\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[(-89, 1634)]$
328950.fy2	328950fy1	328950.fy	328950fy	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \cdot 43 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 17 \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$1$	$737280$	$1.233240$	$21230922609/502928$	$0.86112$	$3.15083$	$[1, -1, 1, -12980, 560647]$	\(y^2+xy+y=x^3-x^2-12980x+560647\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[]$
421056.fd2	421056fd1	421056.fd	421056fd	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 43 \)	\( 2^{22} \cdot 3^{6} \cdot 17 \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$1$		$1$	$1769472$	$1.468243$	$21230922609/502928$	$0.86112$	$3.30852$	$[0, 0, 0, -33228, 2283120]$	\(y^2=x^3-33228x+2283120\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[]$
421056.fe2	421056fe1	421056.fe	421056fe	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 43 \)	\( 2^{22} \cdot 3^{6} \cdot 17 \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2924$	$12$	$0$	$1$	$4$	$2$	$1$	$1769472$	$1.468243$	$21230922609/502928$	$0.86112$	$3.30852$	$[0, 0, 0, -33228, -2283120]$	\(y^2=x^3-33228x-2283120\)	2.3.0.a.1, 34.6.0.a.1, 172.6.0.?, 2924.12.0.?	$[]$