Elliptic curve search results

Results (18 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
3315.b4	3315e4	3315.b	3315e	$4$	$4$	\( 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 3^{8} \cdot 5^{8} \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$1768$	$48$	$0$	$1$	$1$		$0$	$4096$	$0.934161$	$210751100351/566398828125$	$0.99333$	$4.25810$	$[1, 0, 0, 124, -36195]$	\(y^2+xy=x^3+124x-36195\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.2, 68.12.0-4.c.1.1, $\ldots$	$[ ]$
9945.k4	9945i4	9945.k	9945i	$4$	$4$	\( 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 3^{14} \cdot 5^{8} \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$1$	$1$		$0$	$32768$	$1.483467$	$210751100351/566398828125$	$0.99333$	$4.46600$	$[1, -1, 0, 1116, 977265]$	\(y^2+xy=x^3-x^2+1116x+977265\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 136.12.0.?, $\ldots$	$[ ]$
16575.f4	16575a4	16575.f	16575a	$4$	$4$	\( 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 3^{8} \cdot 5^{14} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$9.238254646$	$1$		$0$	$98304$	$1.738880$	$210751100351/566398828125$	$0.99333$	$4.54665$	$[1, 1, 0, 3100, -4524375]$	\(y^2+xy=x^3+x^2+3100x-4524375\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 136.12.0.?, $\ldots$	$[(70319/14, 17486365/14)]$
43095.p4	43095q3	43095.p	43095q	$4$	$4$	\( 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 3^{8} \cdot 5^{8} \cdot 13^{7} \cdot 17 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1768$	$48$	$0$	$1$	$1$		$2$	$688128$	$2.216637$	$210751100351/566398828125$	$0.99333$	$4.67679$	$[1, 0, 1, 20952, -79541369]$	\(y^2+xy+y=x^3+20952x-79541369\)	2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 136.24.0.?, 884.24.0.?, $\ldots$	$[ ]$
49725.e4	49725j3	49725.e	49725j	$4$	$4$	\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 3^{14} \cdot 5^{14} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$4.037580738$	$1$		$2$	$786432$	$2.288185$	$210751100351/566398828125$	$0.99333$	$4.69430$	$[1, -1, 1, 27895, 122186022]$	\(y^2+xy+y=x^3-x^2+27895x+122186022\)	2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 136.12.0.?, $\ldots$	$[(1163, 40971)]$
53040.b4	53040bq3	53040.b	53040bq	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1768$	$48$	$0$	$9.858942069$	$1$		$7$	$262144$	$1.627308$	$210751100351/566398828125$	$0.99333$	$3.93746$	$[0, -1, 0, 1984, 2316480]$	\(y^2=x^3-x^2+1984x+2316480\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.1, 68.12.0-4.c.1.2, $\ldots$	$[(-46, 1458), (221/2, 12879/2)]$
56355.f4	56355l3	56355.f	56355l	$4$	$4$	\( 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 3^{8} \cdot 5^{8} \cdot 13 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1768$	$48$	$0$	$1.416572691$	$1$		$4$	$1179648$	$2.350769$	$210751100351/566398828125$	$0.99333$	$4.70924$	$[1, 1, 1, 35830, -177861868]$	\(y^2+xy+y=x^3+x^2+35830x-177861868\)	2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 136.24.0.?, 884.24.0.?, $\ldots$	$[(885, 22966)]$
129285.c4	129285t3	129285.c	129285t	$4$	$4$	\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 3^{14} \cdot 5^{8} \cdot 13^{7} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$6.344624480$	$1$		$12$	$5505024$	$2.765942$	$210751100351/566398828125$	$0.99333$	$4.80030$	$[1, -1, 1, 188572, 2147616956]$	\(y^2+xy+y=x^3-x^2+188572x+2147616956\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 136.12.0.?, $\ldots$	$[(790, 52417), (2665, 145542)]$
159120.cr4	159120d3	159120.cr	159120d	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{14} \cdot 5^{8} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$3.238485885$	$1$		$5$	$2097152$	$2.176617$	$210751100351/566398828125$	$0.99333$	$4.12664$	$[0, 0, 0, 17853, -62562814]$	\(y^2=x^3+17853x-62562814\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 136.12.0.?, $\ldots$	$[(1007, 31250)]$
162435.v4	162435t4	162435.v	162435t	$4$	$4$	\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 3^{8} \cdot 5^{8} \cdot 7^{6} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$12376$	$48$	$0$	$1.576821592$	$1$		$4$	$1179648$	$1.907116$	$210751100351/566398828125$	$0.99333$	$3.85001$	$[1, 1, 1, 6075, 12420960]$	\(y^2+xy+y=x^3+x^2+6075x+12420960\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 104.12.0.?, 136.12.0.?, $\ldots$	$[(83, 3633)]$
169065.u4	169065bb4	169065.u	169065bb	$4$	$4$	\( 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 3^{14} \cdot 5^{8} \cdot 13 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$14.37166286$	$1$		$0$	$9437184$	$2.900074$	$210751100351/566398828125$	$0.99333$	$4.82703$	$[1, -1, 0, 322470, 4802592901]$	\(y^2+xy=x^3-x^2+322470x+4802592901\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 136.12.0.?, $\ldots$	$[(13171533/124, 143217246829/124)]$
212160.dq4	212160gx3	212160.dq	212160gx	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{18} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1768$	$48$	$0$	$7.418033454$	$1$		$1$	$2097152$	$1.973883$	$210751100351/566398828125$	$0.99333$	$3.83150$	$[0, -1, 0, 7935, -18539775]$	\(y^2=x^3-x^2+7935x-18539775\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 104.24.0.?, 136.24.0.?, $\ldots$	$[(10344/5, 930447/5)]$
212160.gc4	212160f4	212160.gc	212160f	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{18} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1768$	$48$	$0$	$0.494558584$	$1$		$11$	$2097152$	$1.973883$	$210751100351/566398828125$	$0.99333$	$3.83150$	$[0, 1, 0, 7935, 18539775]$	\(y^2=x^3+x^2+7935x+18539775\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 104.24.0.?, 136.24.0.?, $\ldots$	$[(15, 4320)]$
215475.p4	215475w3	215475.p	215475w	$4$	$4$	\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 3^{8} \cdot 5^{14} \cdot 13^{7} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$18.00995873$	$1$		$0$	$16515072$	$3.021355$	$210751100351/566398828125$	$0.99333$	$4.85020$	$[1, 1, 1, 523812, -9942671094]$	\(y^2+xy+y=x^3+x^2+523812x-9942671094\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 104.12.0.?, 136.12.0.?, $\ldots$	$[(529736029/220, 12115234295477/220)]$
265200.gx4	265200gx4	265200.gx	265200gx	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{14} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$4.621923326$	$1$		$3$	$6291456$	$2.432026$	$210751100351/566398828125$	$0.99333$	$4.20327$	$[0, 1, 0, 49592, 289659188]$	\(y^2=x^3+x^2+49592x+289659188\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 136.12.0.?, $\ldots$	$[(-196, 16506)]$
281775.cf4	281775cf3	281775.cf	281775cf	$4$	$4$	\( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \)	\( - 3^{8} \cdot 5^{14} \cdot 13 \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$1$	$9$	$3$	$0$	$28311552$	$3.155487$	$210751100351/566398828125$	$0.99333$	$4.87478$	$[1, 0, 1, 895749, -22234524977]$	\(y^2+xy+y=x^3+895749x-22234524977\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 104.12.0.?, 136.12.0.?, $\ldots$	$[ ]$
401115.bp4	401115bp4	401115.bp	401115bp	$4$	$4$	\( 3 \cdot 5 \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 3^{8} \cdot 5^{8} \cdot 11^{6} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19448$	$48$	$0$	$4.264868879$	$1$		$0$	$5898240$	$2.133110$	$210751100351/566398828125$	$0.99333$	$3.79045$	$[1, 0, 1, 15001, 48190547]$	\(y^2+xy+y=x^3+15001x+48190547\)	2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 104.12.0.?, 136.12.0.?, $\ldots$	$[(21/4, 444301/4)]$
487305.cx4	487305cx3	487305.cx	487305cx	$4$	$4$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 3^{14} \cdot 5^{8} \cdot 7^{6} \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$37128$	$48$	$0$	$1$	$4$	$2$	$0$	$9437184$	$2.456421$	$210751100351/566398828125$	$0.99333$	$4.03036$	$[1, -1, 0, 54675, -335311250]$	\(y^2+xy=x^3-x^2+54675x-335311250\)	2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 136.12.0.?, 168.12.0.?, $\ldots$	$[ ]$

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