Elliptic curve search results

Results (14 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
12870.u1	12870i1	12870.u	12870i	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{3} \cdot 11^{9} \cdot 13 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$17160$	$16$	$0$	$1$	$1$		$2$	$108864$	$1.888147$	$-4076600308125723/1961812478912000$	$1.04066$	$4.85745$	$[1, -1, 0, -9984, 11082240]$	\(y^2+xy=x^3-x^2-9984x+11082240\)	3.8.0-3.a.1.2, 17160.16.0.?	$[ ]$
12870.bg1	12870bd2	12870.bg	12870bd	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{3} \cdot 11^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$17160$	$16$	$0$	$3.906647515$	$1$		$2$	$326592$	$2.437454$	$-4076600308125723/1961812478912000$	$1.04066$	$5.55405$	$[1, -1, 1, -89858, -299130623]$	\(y^2+xy+y=x^3-x^2-89858x-299130623\)	3.8.0-3.a.1.1, 17160.16.0.?	$[(721, 2879)]$
64350.bq1	64350a2	64350.bq	64350a	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{9} \cdot 11^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$14.74606713$	$1$		$0$	$7838208$	$3.242172$	$-4076600308125723/1961812478912000$	$1.04066$	$5.61888$	$[1, -1, 0, -2246442, -37393574284]$	\(y^2+xy=x^3-x^2-2246442x-37393574284\)	3.4.0.a.1, 15.8.0-3.a.1.1, 3432.8.0.?, 17160.16.0.?	$[(218271529/31, 3221283023863/31)]$
64350.ef1	64350cw1	64350.ef	64350cw	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{9} \cdot 11^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$0.251872853$	$1$		$8$	$2612736$	$2.692867$	$-4076600308125723/1961812478912000$	$1.04066$	$5.02353$	$[1, -1, 1, -249605, 1385030397]$	\(y^2+xy+y=x^3-x^2-249605x+1385030397\)	3.4.0.a.1, 15.8.0-3.a.1.2, 3432.8.0.?, 17160.16.0.?	$[(-601, 36600)]$
102960.bt1	102960cg2	102960.bt	102960cg	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{21} \cdot 3^{9} \cdot 5^{3} \cdot 11^{9} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$1$	$1$		$0$	$7838208$	$3.130600$	$-4076600308125723/1961812478912000$	$1.04066$	$5.27407$	$[0, 0, 0, -1437723, 19145797578]$	\(y^2=x^3-1437723x+19145797578\)	3.4.0.a.1, 12.8.0-3.a.1.2, 17160.16.0.?	$[ ]$
102960.dv1	102960ck1	102960.dv	102960ck	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{21} \cdot 3^{3} \cdot 5^{3} \cdot 11^{9} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$1$	$1$		$0$	$2612736$	$2.581295$	$-4076600308125723/1961812478912000$	$1.04066$	$4.70297$	$[0, 0, 0, -159747, -709103614]$	\(y^2=x^3-159747x-709103614\)	3.4.0.a.1, 12.8.0-3.a.1.1, 17160.16.0.?	$[ ]$
141570.s1	141570ey2	141570.s	141570ey	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{3} \cdot 11^{15} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$1$	$1$		$0$	$39191040$	$3.636402$	$-4076600308125723/1961812478912000$	$1.04066$	$5.64421$	$[1, -1, 0, -10872780, 398175477200]$	\(y^2+xy=x^3-x^2-10872780x+398175477200\)	3.4.0.a.1, 33.8.0-3.a.1.1, 1560.8.0.?, 17160.16.0.?	$[ ]$
141570.ek1	141570cg1	141570.ek	141570cg	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{3} \cdot 11^{15} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$1$	$1$		$0$	$13063680$	$3.087093$	$-4076600308125723/1961812478912000$	$1.04066$	$5.08845$	$[1, -1, 1, -1208087, -14746837201]$	\(y^2+xy+y=x^3-x^2-1208087x-14746837201\)	3.4.0.a.1, 33.8.0-3.a.1.2, 1560.8.0.?, 17160.16.0.?	$[ ]$
167310.cg1	167310fb2	167310.cg	167310fb	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{3} \cdot 11^{9} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$2.060983364$	$1$		$4$	$54867456$	$3.719929$	$-4076600308125723/1961812478912000$	$1.04066$	$5.64915$	$[1, -1, 0, -15185949, -657235535995]$	\(y^2+xy=x^3-x^2-15185949x-657235535995\)	3.4.0.a.1, 39.8.0-3.a.1.2, 1320.8.0.?, 17160.16.0.?	$[(103789, 33351547)]$
167310.dq1	167310cs1	167310.dq	167310cs	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{3} \cdot 11^{9} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$1$	$1$		$0$	$18289152$	$3.170624$	$-4076600308125723/1961812478912000$	$1.04066$	$5.10111$	$[1, -1, 1, -1687328, 24342619331]$	\(y^2+xy+y=x^3-x^2-1687328x+24342619331\)	3.4.0.a.1, 39.8.0-3.a.1.1, 1320.8.0.?, 17160.16.0.?	$[ ]$
411840.cp1	411840cp1	411840.cp	411840cp	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{27} \cdot 3^{3} \cdot 5^{3} \cdot 11^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$12.70119424$	$1$		$0$	$20901888$	$2.927868$	$-4076600308125723/1961812478912000$	$1.04066$	$4.52037$	$[0, 0, 0, -638988, 5672828912]$	\(y^2=x^3-638988x+5672828912\)	3.4.0.a.1, 24.8.0-3.a.1.2, 8580.8.0.?, 17160.16.0.?	$[(-618776/19, 285467412/19)]$
411840.ee1	411840ee1	411840.ee	411840ee	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{27} \cdot 3^{3} \cdot 5^{3} \cdot 11^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$1.829344149$	$1$		$2$	$20901888$	$2.927868$	$-4076600308125723/1961812478912000$	$1.04066$	$4.52037$	$[0, 0, 0, -638988, -5672828912]$	\(y^2=x^3-638988x-5672828912\)	3.4.0.a.1, 24.8.0-3.a.1.4, 4290.8.0.?, 17160.16.0.?	$[(8706, 805376)]$
411840.ji1	411840ji2	411840.ji	411840ji	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{27} \cdot 3^{9} \cdot 5^{3} \cdot 11^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$0.978647463$	$1$		$4$	$62705664$	$3.477173$	$-4076600308125723/1961812478912000$	$1.04066$	$5.03023$	$[0, 0, 0, -5750892, -153166380624]$	\(y^2=x^3-5750892x-153166380624\)	3.4.0.a.1, 24.8.0-3.a.1.1, 8580.8.0.?, 17160.16.0.?	$[(9222, 760320)]$
411840.li1	411840li2	411840.li	411840li	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{27} \cdot 3^{9} \cdot 5^{3} \cdot 11^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$14.68268050$	$1$		$0$	$62705664$	$3.477173$	$-4076600308125723/1961812478912000$	$1.04066$	$5.03023$	$[0, 0, 0, -5750892, 153166380624]$	\(y^2=x^3-5750892x+153166380624\)	3.4.0.a.1, 24.8.0-3.a.1.3, 4290.8.0.?, 17160.16.0.?	$[(32931093/31, 188873997615/31)]$

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