Elliptic curve search results

Results (30 matches)

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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
2856.a1	2856e1	2856.a	2856e	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7 \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 7^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$0.357872302$	$1$		$6$	$5376$	$1.365669$	$-371806976516936704/89266779$	$1.01123$	$5.78124$	$[0, -1, 0, -95121, 11323557]$	\(y^2=x^3-x^2-95121x+11323557\)	102.2.0.?	$[(179, 14)]$
5712.r1	5712i1	5712.r	5712i	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 7^{4} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$1$	$1$		$0$	$10752$	$1.365669$	$-371806976516936704/89266779$	$1.01123$	$5.31799$	$[0, 1, 0, -95121, -11323557]$	\(y^2=x^3+x^2-95121x-11323557\)	102.2.0.?	$[ ]$
8568.h1	8568f1	8568.h	8568f	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( - 2^{8} \cdot 3^{13} \cdot 7^{4} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$1$	$1$		$0$	$43008$	$1.914976$	$-371806976516936704/89266779$	$1.01123$	$5.80778$	$[0, 0, 0, -856092, -304879948]$	\(y^2=x^3-856092x-304879948\)	102.2.0.?	$[ ]$
17136.z1	17136f1	17136.z	17136f	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( - 2^{8} \cdot 3^{13} \cdot 7^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$1.120067935$	$1$		$2$	$86016$	$1.914976$	$-371806976516936704/89266779$	$1.01123$	$5.39484$	$[0, 0, 0, -856092, 304879948]$	\(y^2=x^3-856092x+304879948\)	102.2.0.?	$[(809, 11907)]$
19992.x1	19992z1	19992.x	19992z	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 7^{10} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$4.648196003$	$1$		$2$	$258048$	$2.338623$	$-371806976516936704/89266779$	$1.01123$	$5.82422$	$[0, 1, 0, -4660945, -3874658173]$	\(y^2=x^3+x^2-4660945x-3874658173\)	102.2.0.?	$[(2501, 10878)]$
22848.v1	22848bq1	22848.v	22848bq	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \)	\( - 2^{14} \cdot 3^{7} \cdot 7^{4} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$1$	$9$	$3$	$0$	$86016$	$1.712244$	$-371806976516936704/89266779$	$1.01123$	$4.99782$	$[0, -1, 0, -380485, -90207971]$	\(y^2=x^3-x^2-380485x-90207971\)	102.2.0.?	$[ ]$
22848.ck1	22848be1	22848.ck	22848be	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \)	\( - 2^{14} \cdot 3^{7} \cdot 7^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$0.381265695$	$1$		$4$	$86016$	$1.712244$	$-371806976516936704/89266779$	$1.01123$	$4.99782$	$[0, 1, 0, -380485, 90207971]$	\(y^2=x^3+x^2-380485x+90207971\)	102.2.0.?	$[(350, 189)]$
39984.bg1	39984h1	39984.bg	39984h	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 7^{10} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$7.742211928$	$1$		$0$	$516096$	$2.338623$	$-371806976516936704/89266779$	$1.01123$	$5.44323$	$[0, -1, 0, -4660945, 3874658173]$	\(y^2=x^3-x^2-4660945x+3874658173\)	102.2.0.?	$[(209676/13, 821387/13)]$
48552.y1	48552bb1	48552.y	48552bb	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 7^{4} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$0.310138039$	$1$		$4$	$1548288$	$2.782276$	$-371806976516936704/89266779$	$1.01123$	$5.83868$	$[0, 1, 0, -27490065, 55467695331]$	\(y^2=x^3+x^2-27490065x+55467695331\)	102.2.0.?	$[(2085, 84966)]$
59976.t1	59976k1	59976.t	59976k	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{13} \cdot 7^{10} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$0.847803366$	$1$		$4$	$2064384$	$2.887932$	$-371806976516936704/89266779$	$1.01123$	$5.84178$	$[0, 0, 0, -41948508, 104573822164]$	\(y^2=x^3-41948508x+104573822164\)	102.2.0.?	$[(3962, 23814)]$
68544.bx1	68544dx1	68544.bx	68544dx	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( - 2^{14} \cdot 3^{13} \cdot 7^{4} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$1$	$1$		$0$	$688128$	$2.261551$	$-371806976516936704/89266779$	$1.01123$	$5.09670$	$[0, 0, 0, -3424368, 2439039584]$	\(y^2=x^3-3424368x+2439039584\)	102.2.0.?	$[ ]$
68544.cf1	68544ci1	68544.cf	68544ci	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( - 2^{14} \cdot 3^{13} \cdot 7^{4} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$1$	$1$		$0$	$688128$	$2.261551$	$-371806976516936704/89266779$	$1.01123$	$5.09670$	$[0, 0, 0, -3424368, -2439039584]$	\(y^2=x^3-3424368x-2439039584\)	102.2.0.?	$[ ]$
71400.cv1	71400bg1	71400.cv	71400bg	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 7^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$0.327830363$	$1$		$8$	$752640$	$2.170387$	$-371806976516936704/89266779$	$1.01123$	$4.98020$	$[0, 1, 0, -2378033, 1410688563]$	\(y^2=x^3+x^2-2378033x+1410688563\)	102.2.0.?	$[(907, 882)]$
97104.ba1	97104d1	97104.ba	97104d	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 7^{4} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$1$	$1$		$0$	$3096576$	$2.782276$	$-371806976516936704/89266779$	$1.01123$	$5.48625$	$[0, -1, 0, -27490065, -55467695331]$	\(y^2=x^3-x^2-27490065x-55467695331\)	102.2.0.?	$[ ]$
119952.cq1	119952v1	119952.cq	119952v	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{13} \cdot 7^{10} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$52.95029732$	$1$		$0$	$4128768$	$2.887932$	$-371806976516936704/89266779$	$1.01123$	$5.49554$	$[0, 0, 0, -41948508, -104573822164]$	\(y^2=x^3-41948508x-104573822164\)	102.2.0.?	$[(1689126094013149829314081/10235108299, 1980282520740839137649379931445646327/10235108299)]$
142800.dv1	142800io1	142800.dv	142800io	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 7^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$25.49916531$	$1$		$0$	$1505280$	$2.170387$	$-371806976516936704/89266779$	$1.01123$	$4.68936$	$[0, -1, 0, -2378033, -1410688563]$	\(y^2=x^3-x^2-2378033x-1410688563\)	102.2.0.?	$[(441031315924/8833, 280561591389252691/8833)]$
145656.n1	145656bd1	145656.n	145656bd	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 7^{4} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$1$	$1$		$0$	$12386304$	$3.331581$	$-371806976516936704/89266779$	$1.01123$	$5.85358$	$[0, 0, 0, -247410588, -1497875184524]$	\(y^2=x^3-247410588x-1497875184524\)	102.2.0.?	$[ ]$
159936.ce1	159936ix1	159936.ce	159936ix	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( - 2^{14} \cdot 3^{7} \cdot 7^{10} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$75.39289321$	$1$		$0$	$4128768$	$2.685200$	$-371806976516936704/89266779$	$1.01123$	$5.16057$	$[0, -1, 0, -18643781, -30978621603]$	\(y^2=x^3-x^2-18643781x-30978621603\)	102.2.0.?	$[(3800122924018879085339299071868564/168546681632111, 234134638553126889083795508293906013933762202264451/168546681632111)]$
159936.hi1	159936u1	159936.hi	159936u	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( - 2^{14} \cdot 3^{7} \cdot 7^{10} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$1.947753981$	$1$		$2$	$4128768$	$2.685200$	$-371806976516936704/89266779$	$1.01123$	$5.16057$	$[0, 1, 0, -18643781, 30978621603]$	\(y^2=x^3+x^2-18643781x+30978621603\)	102.2.0.?	$[(2494, 147)]$
214200.bi1	214200bw1	214200.bi	214200bw	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{6} \cdot 7^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$12.91027571$	$1$		$0$	$6021120$	$2.719696$	$-371806976516936704/89266779$	$1.01123$	$5.07147$	$[0, 0, 0, -21402300, -38109993500]$	\(y^2=x^3-21402300x-38109993500\)	102.2.0.?	$[(84430544/109, 531861233022/109)]$
291312.cm1	291312cm1	291312.cm	291312cm	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 7^{4} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$2.881974183$	$1$		$2$	$24772608$	$3.331581$	$-371806976516936704/89266779$	$1.01123$	$5.53111$	$[0, 0, 0, -247410588, 1497875184524]$	\(y^2=x^3-247410588x+1497875184524\)	102.2.0.?	$[(10897, 309519)]$
339864.p1	339864p1	339864.p	339864p	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 7^{10} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$52.54768996$	$1$		$0$	$74317824$	$3.755230$	$-371806976516936704/89266779$	$1.01123$	$5.86332$	$[0, -1, 0, -1347013201, -19028113524923]$	\(y^2=x^3-x^2-1347013201x-19028113524923\)	102.2.0.?	$[(15717769687903277624995011/1524072589, 62313184683710311202903001171973857994/1524072589)]$
345576.j1	345576j1	345576.j	345576j	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 7^{4} \cdot 11^{6} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$12.43086741$	$1$		$0$	$7687680$	$2.564617$	$-371806976516936704/89266779$	$1.01123$	$4.73534$	$[0, -1, 0, -11509681, -15025615691]$	\(y^2=x^3-x^2-11509681x-15025615691\)	102.2.0.?	$[(3838137/13, 7429940266/13)]$
388416.bn1	388416bn1	388416.bn	388416bn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{7} \cdot 7^{4} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$3.786643470$	$1$		$0$	$24772608$	$3.128849$	$-371806976516936704/89266779$	$1.01123$	$5.21844$	$[0, -1, 0, -109960261, 443851522909]$	\(y^2=x^3-x^2-109960261x+443851522909\)	102.2.0.?	$[(51700/3, 1118719/3)]$
388416.fz1	388416fz1	388416.fz	388416fz	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{7} \cdot 7^{4} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$1$	$1$		$0$	$24772608$	$3.128849$	$-371806976516936704/89266779$	$1.01123$	$5.21844$	$[0, 1, 0, -109960261, -443851522909]$	\(y^2=x^3+x^2-109960261x-443851522909\)	102.2.0.?	$[ ]$
428400.kk1	428400kk1	428400.kk	428400kk	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{6} \cdot 7^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$3.954548151$	$1$		$2$	$12042240$	$2.719696$	$-371806976516936704/89266779$	$1.01123$	$4.80040$	$[0, 0, 0, -21402300, 38109993500]$	\(y^2=x^3-21402300x+38109993500\)	102.2.0.?	$[(2449, 19593)]$
479808.ld1	479808ld1	479808.ld	479808ld	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{14} \cdot 3^{13} \cdot 7^{10} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$15.15092613$	$1$		$0$	$33030144$	$3.234505$	$-371806976516936704/89266779$	$1.01123$	$5.23107$	$[0, 0, 0, -167794032, 836590577312]$	\(y^2=x^3-167794032x+836590577312\)	102.2.0.?	$[(1631639233/467, 60241630617/467)]$
479808.lq1	479808lq1	479808.lq	479808lq	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{14} \cdot 3^{13} \cdot 7^{10} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$1$	$1$		$0$	$33030144$	$3.234505$	$-371806976516936704/89266779$	$1.01123$	$5.23107$	$[0, 0, 0, -167794032, -836590577312]$	\(y^2=x^3-167794032x-836590577312\)	102.2.0.?	$[ ]$
482664.s1	482664s1	482664.s	482664s	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7 \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 7^{4} \cdot 13^{6} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$2.744691103$	$1$		$2$	$12579840$	$2.648144$	$-371806976516936704/89266779$	$1.01123$	$4.69104$	$[0, -1, 0, -16075505, 24813552789]$	\(y^2=x^3-x^2-16075505x+24813552789\)	102.2.0.?	$[(2281, 2842)]$
499800.by1	499800by1	499800.by	499800by	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 7^{10} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$102$	$2$	$0$	$1$	$1$		$0$	$36126720$	$3.143345$	$-371806976516936704/89266779$	$1.01123$	$5.13143$	$[0, -1, 0, -116523633, -484099224363]$	\(y^2=x^3-x^2-116523633x-484099224363\)	102.2.0.?	$[ ]$

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