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.h3	1290g2	1290.h	1290g	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 43 \)	\( 2 \cdot 3^{6} \cdot 5^{3} \cdot 43^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$5160$	$96$	$1$	$1$	$1$		$4$	$960$	$0.546468$	$276670733768281/336980250$	$0.95357$	$4.64284$	$[1, 0, 1, -1358, 19118]$	\(y^2+xy+y=x^3-1358x+19118\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.b.1, 120.48.0.?, $\ldots$	$[]$
3870.s3	3870s2	3870.s	3870s	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2 \cdot 3^{12} \cdot 5^{3} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$5160$	$96$	$1$	$1$	$4$	$2$	$0$	$7680$	$1.095774$	$276670733768281/336980250$	$0.95357$	$4.82332$	$[1, -1, 1, -12218, -516193]$	\(y^2+xy+y=x^3-x^2-12218x-516193\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.b.1, 120.48.0.?, $\ldots$	$[]$
6450.v3	6450w2	6450.v	6450w	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2 \cdot 3^{6} \cdot 5^{9} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1$	$1$		$0$	$23040$	$1.351187$	$276670733768281/336980250$	$0.95357$	$4.89185$	$[1, 1, 1, -33938, 2389781]$	\(y^2+xy+y=x^3+x^2-33938x+2389781\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0-6.a.1.5, $\ldots$	$[]$
10320.k3	10320v2	10320.k	10320v	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{13} \cdot 3^{6} \cdot 5^{3} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1.760463756$	$1$		$5$	$23040$	$1.239614$	$276670733768281/336980250$	$0.95357$	$4.49820$	$[0, -1, 0, -21720, -1223568]$	\(y^2=x^3-x^2-21720x-1223568\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.b.1, $\ldots$	$[(-86, 30)]$
19350.l3	19350o2	19350.l	19350o	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2 \cdot 3^{12} \cdot 5^{9} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1$	$1$		$0$	$184320$	$1.900494$	$276670733768281/336980250$	$0.95357$	$5.01519$	$[1, -1, 0, -305442, -64829534]$	\(y^2+xy=x^3-x^2-305442x-64829534\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0-6.a.1.13, $\ldots$	$[]$
30960.f3	30960bf2	30960.f	30960bf	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{13} \cdot 3^{12} \cdot 5^{3} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$0.988909377$	$1$		$9$	$184320$	$1.788921$	$276670733768281/336980250$	$0.95357$	$4.65776$	$[0, 0, 0, -195483, 33231818]$	\(y^2=x^3-195483x+33231818\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.b.1, $\ldots$	$[(133, 3096)]$
41280.s3	41280d2	41280.s	41280d	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{19} \cdot 3^{6} \cdot 5^{3} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$2.293536578$	$1$		$3$	$184320$	$1.586189$	$276670733768281/336980250$	$0.95357$	$4.30278$	$[0, -1, 0, -86881, 9875425]$	\(y^2=x^3-x^2-86881x+9875425\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 30.24.0-6.a.1.3, $\ldots$	$[(-311, 2592)]$
41280.by3	41280db2	41280.by	41280db	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{19} \cdot 3^{6} \cdot 5^{3} \cdot 43^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$2.818286870$	$1$		$17$	$184320$	$1.586189$	$276670733768281/336980250$	$0.95357$	$4.30278$	$[0, 1, 0, -86881, -9875425]$	\(y^2=x^3+x^2-86881x-9875425\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 40.6.0.b.1, $\ldots$	$[(-169, 96), (-166, 9)]$
51600.dq3	51600di2	51600.dq	51600di	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{13} \cdot 3^{6} \cdot 5^{9} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1$	$1$		$1$	$552960$	$2.044334$	$276670733768281/336980250$	$0.95357$	$4.72094$	$[0, 1, 0, -543008, -154032012]$	\(y^2=x^3+x^2-543008x-154032012\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.12, 40.6.0.b.1, $\ldots$	$[]$
55470.r3	55470t2	55470.r	55470t	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2 \cdot 3^{6} \cdot 5^{3} \cdot 43^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$23.76638448$	$1$		$0$	$1774080$	$2.427067$	$276670733768281/336980250$	$0.95357$	$5.11013$	$[1, 1, 1, -2510056, -1530074881]$	\(y^2+xy+y=x^3+x^2-2510056x-1530074881\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 40.6.0.b.1, $\ldots$	$[(-51585708057/7598, 454348875604997/7598)]$
63210.a3	63210g2	63210.a	63210g	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2 \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$36120$	$96$	$1$	$4.081147453$	$1$		$2$	$345600$	$1.519423$	$276670733768281/336980250$	$0.95357$	$4.06445$	$[1, 1, 0, -66518, -6624078]$	\(y^2+xy=x^3+x^2-66518x-6624078\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 40.6.0.b.1, $\ldots$	$[(-147, 6)]$
123840.eq3	123840gk2	123840.eq	123840gk	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{19} \cdot 3^{12} \cdot 5^{3} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1.970039229$	$1$		$5$	$1474560$	$2.135494$	$276670733768281/336980250$	$0.95357$	$4.46178$	$[0, 0, 0, -781932, 265854544]$	\(y^2=x^3-781932x+265854544\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 40.6.0.b.1, $\ldots$	$[(653, 5805)]$
123840.fn3	123840cp2	123840.fn	123840cp	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{19} \cdot 3^{12} \cdot 5^{3} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$3.548962277$	$1$		$3$	$1474560$	$2.135494$	$276670733768281/336980250$	$0.95357$	$4.46178$	$[0, 0, 0, -781932, -265854544]$	\(y^2=x^3-781932x-265854544\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 30.24.0-6.a.1.4, $\ldots$	$[(-508, 520)]$
154800.em3	154800cy2	154800.em	154800cy	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{13} \cdot 3^{12} \cdot 5^{9} \cdot 43^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$3.637272939$	$1$		$15$	$4423680$	$2.593639$	$276670733768281/336980250$	$0.95357$	$4.83853$	$[0, 0, 0, -4887075, 4153977250]$	\(y^2=x^3-4887075x+4153977250\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.4, 40.6.0.b.1, $\ldots$	$[(95, 60750), (1439, 10062)]$
156090.bs3	156090c2	156090.bs	156090c	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2 \cdot 3^{6} \cdot 5^{3} \cdot 11^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$56760$	$96$	$1$	$3.382239111$	$1$		$0$	$1036800$	$1.745415$	$276670733768281/336980250$	$0.95357$	$3.98398$	$[1, 0, 0, -164260, -25610650]$	\(y^2+xy=x^3-164260x-25610650\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 40.6.0.b.1, $\ldots$	$[(-925/2, 2095/2)]$
166410.t3	166410bm2	166410.t	166410bm	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2 \cdot 3^{12} \cdot 5^{3} \cdot 43^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1$	$1$		$0$	$14192640$	$2.976376$	$276670733768281/336980250$	$0.95357$	$5.19145$	$[1, -1, 0, -22590504, 41289431278]$	\(y^2+xy=x^3-x^2-22590504x+41289431278\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 40.6.0.b.1, $\ldots$	$[]$
189630.ey3	189630r2	189630.ey	189630r	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2 \cdot 3^{12} \cdot 5^{3} \cdot 7^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$36120$	$96$	$1$	$1$	$1$		$0$	$2764800$	$2.068729$	$276670733768281/336980250$	$0.95357$	$4.23942$	$[1, -1, 1, -598667, 178251441]$	\(y^2+xy+y=x^3-x^2-598667x+178251441\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 40.6.0.b.1, $\ldots$	$[]$
206400.dp3	206400eu2	206400.dp	206400eu	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{19} \cdot 3^{6} \cdot 5^{9} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1$	$1$		$1$	$4423680$	$2.390907$	$276670733768281/336980250$	$0.95357$	$4.52599$	$[0, -1, 0, -2172033, -1230084063]$	\(y^2=x^3-x^2-2172033x-1230084063\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 40.6.0.b.1, $\ldots$	$[]$
206400.hc3	206400gs2	206400.hc	206400gs	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{19} \cdot 3^{6} \cdot 5^{9} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1.483095432$	$1$		$5$	$4423680$	$2.390907$	$276670733768281/336980250$	$0.95357$	$4.52599$	$[0, 1, 0, -2172033, 1230084063]$	\(y^2=x^3+x^2-2172033x+1230084063\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 40.6.0.b.1, 120.48.0.?, $\ldots$	$[(813, 1500)]$
218010.bw3	218010k2	218010.bw	218010k	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 43 \)	\( 2 \cdot 3^{6} \cdot 5^{3} \cdot 13^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$67080$	$96$	$1$	$1$	$1$		$0$	$2211840$	$1.828943$	$276670733768281/336980250$	$0.95357$	$3.95724$	$[1, 0, 0, -229421, 42232215]$	\(y^2+xy=x^3-229421x+42232215\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 40.6.0.b.1, $\ldots$	$[]$
277350.bs3	277350bs2	277350.bs	277350bs	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	\( 2 \cdot 3^{6} \cdot 5^{9} \cdot 43^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$4.294984748$	$1$		$2$	$42577920$	$3.231789$	$276670733768281/336980250$	$0.95357$	$5.22441$	$[1, 0, 1, -62751401, -191133857302]$	\(y^2+xy+y=x^3-62751401x-191133857302\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.16, 40.6.0.b.1, $\ldots$	$[(34812, 6292306)]$
316050.hm3	316050hm2	316050.hm	316050hm	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( 2 \cdot 3^{6} \cdot 5^{9} \cdot 7^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$36120$	$96$	$1$	$1$	$1$		$0$	$8294400$	$2.324142$	$276670733768281/336980250$	$0.95357$	$4.31044$	$[1, 0, 0, -1662963, -824683833]$	\(y^2+xy=x^3-1662963x-824683833\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 105.8.0.?, $\ldots$	$[]$
372810.d3	372810d2	372810.d	372810d	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 43 \)	\( 2 \cdot 3^{6} \cdot 5^{3} \cdot 17^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$87720$	$96$	$1$	$1$	$1$		$0$	$4976640$	$1.963074$	$276670733768281/336980250$	$0.95357$	$3.91720$	$[1, 1, 0, -392323, 94320283]$	\(y^2+xy=x^3+x^2-392323x+94320283\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 51.8.0-3.a.1.2, $\ldots$	$[]$
443760.ch3	443760ch2	443760.ch	443760ch	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{13} \cdot 3^{6} \cdot 5^{3} \cdot 43^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1$	$1$		$1$	$42577920$	$3.120216$	$276670733768281/336980250$	$0.95357$	$4.93260$	$[0, 1, 0, -40160896, 97844470580]$	\(y^2=x^3+x^2-40160896x+97844470580\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 40.6.0.b.1, $\ldots$	$[]$
465690.ce3	465690ce2	465690.ce	465690ce	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2 \cdot 3^{6} \cdot 5^{3} \cdot 19^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$98040$	$96$	$1$	$10.36476940$	$1$		$0$	$6842880$	$2.018688$	$276670733768281/336980250$	$0.95357$	$3.90157$	$[1, 1, 1, -490065, -132112203]$	\(y^2+xy+y=x^3+x^2-490065x-132112203\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 57.8.0-3.a.1.1, $\ldots$	$[(-81385/14, 631737/14)]$
468270.d3	468270d2	468270.d	468270d	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2 \cdot 3^{12} \cdot 5^{3} \cdot 11^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$56760$	$96$	$1$	$3.032528602$	$1$		$4$	$8294400$	$2.294724$	$276670733768281/336980250$	$0.95357$	$4.15361$	$[1, -1, 0, -1478340, 691487550]$	\(y^2+xy=x^3-x^2-1478340x+691487550\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 40.6.0.b.1, $\ldots$	$[(741, 1209)]$