Elliptic curve search results

Results (26 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
1290.i2	1290i1	1290.i	1290i	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{2} \cdot 3^{2} \cdot 5 \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$112$	$-0.571421$	$1685159/7740$	$0.81723$	$2.27217$	$[1, 0, 1, 2, -4]$	\(y^2+xy+y=x^3+2x-4\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
3870.t2	3870v1	3870.t	3870v	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{2} \cdot 3^{8} \cdot 5 \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$896$	$-0.022114$	$1685159/7740$	$0.81723$	$2.76793$	$[1, -1, 1, 22, 101]$	\(y^2+xy+y=x^3-x^2+22x+101\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
6450.u2	6450z1	6450.u	6450z	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{7} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$2688$	$0.233299$	$1685159/7740$	$0.81723$	$2.95615$	$[1, 1, 1, 62, -469]$	\(y^2+xy+y=x^3+x^2+62x-469\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
10320.j2	10320x1	10320.j	10320x	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{14} \cdot 3^{2} \cdot 5 \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.123137889$	$1$		$5$	$2688$	$0.121727$	$1685159/7740$	$0.81723$	$2.66094$	$[0, -1, 0, 40, 240]$	\(y^2=x^3-x^2+40x+240\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(2, 18)]$
19350.c2	19350s1	19350.c	19350s	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{2} \cdot 3^{8} \cdot 5^{7} \cdot 43 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$0.805632590$	$1$		$25$	$21504$	$0.782605$	$1685159/7740$	$0.81723$	$3.29494$	$[1, -1, 0, 558, 13216]$	\(y^2+xy=x^3-x^2+558x+13216\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(-1, 113), (24, 188)]$
30960.d2	30960bi1	30960.d	30960bi	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{14} \cdot 3^{8} \cdot 5 \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.967566705$	$1$		$5$	$21504$	$0.671033$	$1685159/7740$	$0.81723$	$3.01569$	$[0, 0, 0, 357, -6838]$	\(y^2=x^3+357x-6838\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(22, 108)]$
41280.t2	41280h1	41280.t	41280h	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{20} \cdot 3^{2} \cdot 5 \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$3.020692974$	$1$		$3$	$21504$	$0.468300$	$1685159/7740$	$0.81723$	$2.70517$	$[0, -1, 0, 159, -2079]$	\(y^2=x^3-x^2+159x-2079\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(63, 504)]$
41280.bx2	41280dd1	41280.bx	41280dd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{20} \cdot 3^{2} \cdot 5 \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$21504$	$0.468300$	$1685159/7740$	$0.81723$	$2.70517$	$[0, 1, 0, 159, 2079]$	\(y^2=x^3+x^2+159x+2079\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
51600.ds2	51600do1	51600.ds	51600do	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{2} \cdot 5^{7} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$64512$	$0.926446$	$1685159/7740$	$0.81723$	$3.15618$	$[0, 1, 0, 992, 31988]$	\(y^2=x^3+x^2+992x+31988\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
55470.p2	55470w1	55470.p	55470w	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \)	\( - 2^{2} \cdot 3^{2} \cdot 5 \cdot 43^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$3.782153563$	$1$		$1$	$206976$	$1.309179$	$1685159/7740$	$0.81723$	$3.55573$	$[1, 1, 1, 4584, 316533]$	\(y^2+xy+y=x^3+x^2+4584x+316533\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(3313/8, 413611/8)]$
63210.f2	63210f1	63210.f	63210f	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$0.710448741$	$1$		$9$	$32256$	$0.401535$	$1685159/7740$	$0.81723$	$2.52842$	$[1, 1, 0, 122, 1408]$	\(y^2+xy=x^3+x^2+122x+1408\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(6, 46)]$
123840.dr2	123840gn1	123840.dr	123840gn	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{20} \cdot 3^{8} \cdot 5 \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$2.338460852$	$1$		$5$	$172032$	$1.017607$	$1685159/7740$	$0.81723$	$3.01384$	$[0, 0, 0, 1428, -54704]$	\(y^2=x^3+1428x-54704\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(80, 756)]$
123840.gl2	123840cv1	123840.gl	123840cv	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{20} \cdot 3^{8} \cdot 5 \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$4.038604024$	$1$		$1$	$172032$	$1.017607$	$1685159/7740$	$0.81723$	$3.01384$	$[0, 0, 0, 1428, 54704]$	\(y^2=x^3+1428x+54704\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(121/2, 2835/2)]$
154800.gf2	154800dn1	154800.gf	154800dn	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{8} \cdot 5^{7} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$516096$	$1.475752$	$1685159/7740$	$0.81723$	$3.41763$	$[0, 0, 0, 8925, -854750]$	\(y^2=x^3+8925x-854750\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
156090.br2	156090b1	156090.br	156090b	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$3.247669942$	$1$		$1$	$143360$	$0.627527$	$1685159/7740$	$0.81723$	$2.56407$	$[1, 0, 0, 300, 5292]$	\(y^2+xy=x^3+300x+5292\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(227/2, 3403/2)]$
166410.n2	166410bj1	166410.n	166410bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( - 2^{2} \cdot 3^{8} \cdot 5 \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$1655808$	$1.858486$	$1685159/7740$	$0.81723$	$3.77910$	$[1, -1, 0, 41256, -8505140]$	\(y^2+xy=x^3-x^2+41256x-8505140\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
189630.dy2	189630c1	189630.dy	189630c	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 2^{2} \cdot 3^{8} \cdot 5 \cdot 7^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$258048$	$0.950841$	$1685159/7740$	$0.81723$	$2.84225$	$[1, -1, 1, 1093, -36921]$	\(y^2+xy+y=x^3-x^2+1093x-36921\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
206400.fd2	206400fg1	206400.fd	206400fg	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{20} \cdot 3^{2} \cdot 5^{7} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$516096$	$1.273020$	$1685159/7740$	$0.81723$	$3.13849$	$[0, -1, 0, 3967, 251937]$	\(y^2=x^3-x^2+3967x+251937\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
206400.fp2	206400ge1	206400.fp	206400ge	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{20} \cdot 3^{2} \cdot 5^{7} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$2.845022509$	$1$		$3$	$516096$	$1.273020$	$1685159/7740$	$0.81723$	$3.13849$	$[0, 1, 0, 3967, -251937]$	\(y^2=x^3+x^2+3967x-251937\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(178, 2475)]$
218010.bt2	218010h1	218010.bt	218010h	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 43 \)	\( - 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$241920$	$0.711055$	$1685159/7740$	$0.81723$	$2.57591$	$[1, 0, 0, 419, -8659]$	\(y^2+xy=x^3+419x-8659\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
277350.by2	277350by1	277350.by	277350by	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{7} \cdot 43^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$6.115544502$	$1$		$1$	$4967424$	$2.113899$	$1685159/7740$	$0.81723$	$3.86962$	$[1, 0, 1, 114599, 39337448]$	\(y^2+xy+y=x^3+114599x+39337448\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(-887/3, 141842/3)]$
316050.jr2	316050jr1	316050.jr	316050jr	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{7} \cdot 7^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$774144$	$1.206253$	$1685159/7740$	$0.81723$	$2.96962$	$[1, 0, 0, 3037, 169917]$	\(y^2+xy=x^3+3037x+169917\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
372810.a2	372810a1	372810.a	372810a	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 43 \)	\( - 2^{2} \cdot 3^{2} \cdot 5 \cdot 17^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$580608$	$0.845186$	$1685159/7740$	$0.81723$	$2.59365$	$[1, 1, 0, 717, -19143]$	\(y^2+xy=x^3+x^2+717x-19143\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
443760.ck2	443760ck1	443760.ck	443760ck	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( - 2^{14} \cdot 3^{2} \cdot 5 \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$9$	$3$	$1$	$4967424$	$2.002327$	$1685159/7740$	$0.81723$	$3.62678$	$[0, 1, 0, 73344, -20111436]$	\(y^2=x^3+x^2+73344x-20111436\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
465690.cf2	465690cf1	465690.cf	465690cf	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{2} \cdot 3^{2} \cdot 5 \cdot 19^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$12.11563132$	$1$		$1$	$806400$	$0.900799$	$1685159/7740$	$0.81723$	$2.60058$	$[1, 1, 1, 895, 27515]$	\(y^2+xy+y=x^3+x^2+895x+27515\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(312315/71, 192963734/71)]$
468270.c2	468270c1	468270.c	468270c	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 2^{2} \cdot 3^{8} \cdot 5 \cdot 11^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.100649475$	$1$		$9$	$1146880$	$1.176834$	$1685159/7740$	$0.81723$	$2.85317$	$[1, -1, 0, 2700, -142884]$	\(y^2+xy=x^3-x^2+2700x-142884\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(102, 1038)]$