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
5746.c1	5746b1	5746.c	5746b	$1$	$1$	\( 2 \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$0.423333911$	$1$		$6$	$1152$	$-0.184902$	$7433231/4352$	$0.91543$	$2.42037$	$[1, 1, 0, 23, 5]$	\(y^2+xy=x^3+x^2+23x+5\)	68.2.0.a.1	$[(2, 7)]$
5746.i1	5746h1	5746.i	5746h	$1$	$1$	\( 2 \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 13^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$14976$	$1.097572$	$7433231/4352$	$0.91543$	$4.19824$	$[1, 1, 1, 3799, -8169]$	\(y^2+xy+y=x^3+x^2+3799x-8169\)	68.2.0.a.1	$[]$
45968.m1	45968j1	45968.m	45968j	$1$	$1$	\( 2^{4} \cdot 13^{2} \cdot 17 \)	\( - 2^{20} \cdot 13^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$27648$	$0.508245$	$7433231/4352$	$0.91543$	$2.72634$	$[0, 1, 0, 360, 404]$	\(y^2=x^3+x^2+360x+404\)	68.2.0.a.1	$[]$
45968.p1	45968i1	45968.p	45968i	$1$	$1$	\( 2^{4} \cdot 13^{2} \cdot 17 \)	\( - 2^{20} \cdot 13^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$9$	$3$	$0$	$359424$	$1.790720$	$7433231/4352$	$0.91543$	$4.15984$	$[0, 1, 0, 60784, 644372]$	\(y^2=x^3+x^2+60784x+644372\)	68.2.0.a.1	$[]$
51714.a1	51714j1	51714.a	51714j	$1$	$1$	\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{6} \cdot 13^{8} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$4.025185630$	$1$		$2$	$449280$	$1.646879$	$7433231/4352$	$0.91543$	$3.95566$	$[1, -1, 0, 34191, 254749]$	\(y^2+xy=x^3-x^2+34191x+254749\)	68.2.0.a.1	$[(66, 1639)]$
51714.ba1	51714x1	51714.ba	51714x	$1$	$1$	\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{6} \cdot 13^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$34560$	$0.364404$	$7433231/4352$	$0.91543$	$2.53771$	$[1, -1, 1, 202, 69]$	\(y^2+xy+y=x^3-x^2+202x+69\)	68.2.0.a.1	$[]$
97682.g1	97682d1	97682.g	97682d	$1$	$1$	\( 2 \cdot 13^{2} \cdot 17^{2} \)	\( - 2^{8} \cdot 13^{2} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$5.154125811$	$1$		$2$	$331776$	$1.231705$	$7433231/4352$	$0.91543$	$3.30308$	$[1, 0, 1, 6496, -21266]$	\(y^2+xy+y=x^3+6496x-21266\)	68.2.0.a.1	$[(11737, 1265731)]$
97682.o1	97682l1	97682.o	97682l	$1$	$1$	\( 2 \cdot 13^{2} \cdot 17^{2} \)	\( - 2^{8} \cdot 13^{8} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$4313088$	$2.514179$	$7433231/4352$	$0.91543$	$4.64254$	$[1, 0, 0, 1097905, -47818759]$	\(y^2+xy=x^3+1097905x-47818759\)	68.2.0.a.1	$[]$
143650.o1	143650bs1	143650.o	143650bs	$1$	$1$	\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 5^{6} \cdot 13^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$1198080$	$1.902290$	$7433231/4352$	$0.91543$	$3.87345$	$[1, 0, 1, 94974, -1211052]$	\(y^2+xy+y=x^3+94974x-1211052\)	68.2.0.a.1	$[]$
143650.bq1	143650s1	143650.bq	143650s	$1$	$1$	\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 5^{6} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$0.975503487$	$1$		$4$	$92160$	$0.619817$	$7433231/4352$	$0.91543$	$2.57749$	$[1, 0, 0, 562, -508]$	\(y^2+xy=x^3+562x-508\)	68.2.0.a.1	$[(2, 24)]$
183872.t1	183872m1	183872.t	183872m	$1$	$1$	\( 2^{6} \cdot 13^{2} \cdot 17 \)	\( - 2^{26} \cdot 13^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$2875392$	$2.137295$	$7433231/4352$	$0.91543$	$4.02720$	$[0, -1, 0, 243135, 4911841]$	\(y^2=x^3-x^2+243135x+4911841\)	68.2.0.a.1	$[]$
183872.y1	183872r1	183872.y	183872r	$1$	$1$	\( 2^{6} \cdot 13^{2} \cdot 17 \)	\( - 2^{26} \cdot 13^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$221184$	$0.854818$	$7433231/4352$	$0.91543$	$2.75763$	$[0, -1, 0, 1439, 1793]$	\(y^2=x^3-x^2+1439x+1793\)	68.2.0.a.1	$[]$
183872.bp1	183872ca1	183872.bp	183872ca	$1$	$1$	\( 2^{6} \cdot 13^{2} \cdot 17 \)	\( - 2^{26} \cdot 13^{8} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$0.798045070$	$1$		$4$	$2875392$	$2.137295$	$7433231/4352$	$0.91543$	$4.02720$	$[0, 1, 0, 243135, -4911841]$	\(y^2=x^3+x^2+243135x-4911841\)	68.2.0.a.1	$[(1915, 86528)]$
183872.bu1	183872cd1	183872.bu	183872cd	$1$	$1$	\( 2^{6} \cdot 13^{2} \cdot 17 \)	\( - 2^{26} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$5.781316345$	$1$		$0$	$221184$	$0.854818$	$7433231/4352$	$0.91543$	$2.75763$	$[0, 1, 0, 1439, -1793]$	\(y^2=x^3+x^2+1439x-1793\)	68.2.0.a.1	$[(3379/15, 516608/15)]$
281554.bu1	281554bu1	281554.bu	281554bu	$1$	$1$	\( 2 \cdot 7^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 7^{6} \cdot 13^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$6.639810339$	$1$		$0$	$435456$	$0.788053$	$7433231/4352$	$0.91543$	$2.60015$	$[1, 0, 1, 1101, 1614]$	\(y^2+xy+y=x^3+1101x+1614\)	68.2.0.a.1	$[(1983/7, 108128/7)]$
281554.dg1	281554dg1	281554.dg	281554dg	$1$	$1$	\( 2 \cdot 7^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 7^{6} \cdot 13^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$5660928$	$2.070526$	$7433231/4352$	$0.91543$	$3.82660$	$[1, 0, 0, 186150, 3360356]$	\(y^2+xy=x^3+186150x+3360356\)	68.2.0.a.1	$[]$
413712.f1	413712f1	413712.f	413712f	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{20} \cdot 3^{6} \cdot 13^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$10782720$	$2.340027$	$7433231/4352$	$0.91543$	$3.96279$	$[0, 0, 0, 547053, -16850990]$	\(y^2=x^3+547053x-16850990\)	68.2.0.a.1	$[]$
413712.fa1	413712fa1	413712.fa	413712fa	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{20} \cdot 3^{6} \cdot 13^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$829440$	$1.057550$	$7433231/4352$	$0.91543$	$2.77283$	$[0, 0, 0, 3237, -7670]$	\(y^2=x^3+3237x-7670\)	68.2.0.a.1	$[]$