Elliptic curve search results

Results (24 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
5096.b1	5096b1	5096.b	5096b	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 7^{8} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$364$	$12$	$0$	$0.155028067$	$1$		$8$	$4032$	$0.761668$	$12291328/169$	$0.79421$	$4.06085$	$[0, -1, 0, -2172, 39229]$	\(y^2=x^3-x^2-2172x+39229\)	2.2.0.a.1, 14.6.0.a.1, 52.4.0-2.a.1.1, 364.12.0.?	$[(82, 637)]$
5096.j1	5096d1	5096.j	5096d	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$364$	$12$	$0$	$0.679795429$	$1$		$4$	$576$	$-0.211287$	$12291328/169$	$0.79421$	$2.69309$	$[0, 1, 0, -44, -127]$	\(y^2=x^3+x^2-44x-127\)	2.2.0.a.1, 14.6.0.a.1, 364.12.0.?	$[(-4, 1)]$
10192.o1	10192h1	10192.o	10192h	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$364$	$12$	$0$	$0.686201178$	$1$		$2$	$1152$	$-0.211287$	$12291328/169$	$0.79421$	$2.49084$	$[0, -1, 0, -44, 127]$	\(y^2=x^3-x^2-44x+127\)	2.2.0.a.1, 14.6.0.a.1, 364.12.0.?	$[(-1, 13)]$
10192.z1	10192b1	10192.z	10192b	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 7^{8} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$364$	$12$	$0$	$3.080787122$	$1$		$0$	$8064$	$0.761668$	$12291328/169$	$0.79421$	$3.75587$	$[0, 1, 0, -2172, -39229]$	\(y^2=x^3+x^2-2172x-39229\)	2.2.0.a.1, 14.6.0.a.1, 52.4.0-2.a.1.1, 364.12.0.?	$[(-107/2, 169/2)]$
40768.y1	40768u1	40768.y	40768u	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 7^{2} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$728$	$12$	$0$	$2.449772426$	$1$		$4$	$9216$	$0.135287$	$12291328/169$	$0.79421$	$2.55733$	$[0, -1, 0, -177, -839]$	\(y^2=x^3-x^2-177x-839\)	2.2.0.a.1, 14.6.0.a.1, 728.12.0.?	$[(-8, 1), (-27/2, 13/2)]$
40768.bp1	40768cf1	40768.bp	40768cf	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 7^{8} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$728$	$12$	$0$	$5.864391177$	$1$		$0$	$64512$	$1.108242$	$12291328/169$	$0.79421$	$3.65716$	$[0, -1, 0, -8689, -305143]$	\(y^2=x^3-x^2-8689x-305143\)	2.2.0.a.1, 14.6.0.a.1, 104.4.0.?, 728.12.0.?	$[(-464/3, 1511/3)]$
40768.co1	40768cq1	40768.co	40768cq	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$728$	$12$	$0$	$0.848638518$	$1$		$2$	$9216$	$0.135287$	$12291328/169$	$0.79421$	$2.55733$	$[0, 1, 0, -177, 839]$	\(y^2=x^3+x^2-177x+839\)	2.2.0.a.1, 14.6.0.a.1, 728.12.0.?	$[(10, 13)]$
40768.dg1	40768g1	40768.dg	40768g	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 7^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$728$	$12$	$0$	$1$	$1$		$0$	$64512$	$1.108242$	$12291328/169$	$0.79421$	$3.65716$	$[0, 1, 0, -8689, 305143]$	\(y^2=x^3+x^2-8689x+305143\)	2.2.0.a.1, 14.6.0.a.1, 104.4.0.?, 728.12.0.?	$[ ]$
45864.j1	45864bz1	45864.j	45864bz	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1092$	$12$	$0$	$0.688131013$	$1$		$4$	$17280$	$0.338019$	$12291328/169$	$0.79421$	$2.75592$	$[0, 0, 0, -399, 3031]$	\(y^2=x^3-399x+3031\)	2.2.0.a.1, 14.6.0.a.1, 1092.12.0.?	$[(9, 13)]$
45864.bz1	45864bh1	45864.bz	45864bh	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1092$	$12$	$0$	$1.598214146$	$1$		$0$	$120960$	$1.310974$	$12291328/169$	$0.79421$	$3.84369$	$[0, 0, 0, -19551, -1039633]$	\(y^2=x^3-19551x-1039633\)	2.2.0.a.1, 14.6.0.a.1, 156.4.0.?, 1092.12.0.?	$[(-343/2, 637/2)]$
66248.n1	66248n1	66248.n	66248n	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 7^{8} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.2	2Cn	$28$	$12$	$0$	$1$	$1$		$0$	$677376$	$2.044144$	$12291328/169$	$0.79421$	$4.50890$	$[0, -1, 0, -367124, 84717697]$	\(y^2=x^3-x^2-367124x+84717697\)	2.2.0.a.1, 4.4.0-2.a.1.1, 14.6.0.a.1, 28.12.0-14.a.1.4	$[ ]$
66248.r1	66248u1	66248.r	66248u	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$28$	$12$	$0$	$1.270625990$	$1$		$4$	$96768$	$1.071188$	$12291328/169$	$0.79421$	$3.45716$	$[0, 1, 0, -7492, -249131]$	\(y^2=x^3+x^2-7492x-249131\)	2.2.0.a.1, 14.6.0.a.1, 28.12.0-14.a.1.2	$[(186, 2197)]$
91728.o1	91728bx1	91728.o	91728bx	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1092$	$12$	$0$	$1$	$1$		$0$	$34560$	$0.338019$	$12291328/169$	$0.79421$	$2.58874$	$[0, 0, 0, -399, -3031]$	\(y^2=x^3-399x-3031\)	2.2.0.a.1, 14.6.0.a.1, 1092.12.0.?	$[ ]$
91728.fk1	91728p1	91728.fk	91728p	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1092$	$12$	$0$	$1$	$1$		$0$	$241920$	$1.310974$	$12291328/169$	$0.79421$	$3.61052$	$[0, 0, 0, -19551, 1039633]$	\(y^2=x^3-19551x+1039633\)	2.2.0.a.1, 14.6.0.a.1, 156.4.0.?, 1092.12.0.?	$[ ]$
127400.n1	127400bl1	127400.n	127400bl	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1820$	$12$	$0$	$1.362057169$	$1$		$2$	$62208$	$0.593432$	$12291328/169$	$0.79421$	$2.77713$	$[0, -1, 0, -1108, -13663]$	\(y^2=x^3-x^2-1108x-13663\)	2.2.0.a.1, 14.6.0.a.1, 1820.12.0.?	$[(-19, 13)]$
127400.bn1	127400bc1	127400.bn	127400bc	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 5^{6} \cdot 7^{8} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1820$	$12$	$0$	$2.945373585$	$1$		$4$	$435456$	$1.566387$	$12291328/169$	$0.79421$	$3.77036$	$[0, 1, 0, -54308, 4795013]$	\(y^2=x^3+x^2-54308x+4795013\)	2.2.0.a.1, 14.6.0.a.1, 260.4.0.?, 1820.12.0.?	$[(122, 13)]$
132496.x1	132496di1	132496.x	132496di	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 7^{2} \cdot 13^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$28$	$12$	$0$	$1.946421274$	$1$		$4$	$193536$	$1.071188$	$12291328/169$	$0.79421$	$3.25399$	$[0, -1, 0, -7492, 249131]$	\(y^2=x^3-x^2-7492x+249131\)	2.2.0.a.1, 14.6.0.a.1, 28.12.0-14.a.1.1	$[(35, 169), (101/2, 2197/2)]$
132496.de1	132496dy1	132496.de	132496dy	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 7^{8} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.2	2Cn	$28$	$12$	$0$	$4.525072445$	$1$		$0$	$1354752$	$2.044144$	$12291328/169$	$0.79421$	$4.24391$	$[0, 1, 0, -367124, -84717697]$	\(y^2=x^3+x^2-367124x-84717697\)	2.2.0.a.1, 4.4.0-2.a.1.1, 14.6.0.a.1, 28.12.0-14.a.1.3	$[(-81611/15, 3121937/15)]$
254800.cp1	254800cp1	254800.cp	254800cp	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 5^{6} \cdot 7^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1820$	$12$	$0$	$1$	$1$		$0$	$870912$	$1.566387$	$12291328/169$	$0.79421$	$3.56042$	$[0, -1, 0, -54308, -4795013]$	\(y^2=x^3-x^2-54308x-4795013\)	2.2.0.a.1, 14.6.0.a.1, 260.4.0.?, 1820.12.0.?	$[ ]$
254800.fv1	254800fv1	254800.fv	254800fv	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1820$	$12$	$0$	$1$	$1$		$0$	$124416$	$0.593432$	$12291328/169$	$0.79421$	$2.62250$	$[0, 1, 0, -1108, 13663]$	\(y^2=x^3+x^2-1108x+13663\)	2.2.0.a.1, 14.6.0.a.1, 1820.12.0.?	$[ ]$
366912.bf1	366912bf1	366912.bf	366912bf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{8} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$2184$	$12$	$0$	$2.162132551$	$1$		$2$	$1935360$	$1.657549$	$12291328/169$	$0.79421$	$3.54447$	$[0, 0, 0, -78204, -8317064]$	\(y^2=x^3-78204x-8317064\)	2.2.0.a.1, 14.6.0.a.1, 312.4.0.?, 2184.12.0.?	$[(-147, 49)]$
366912.cf1	366912cf1	366912.cf	366912cf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$2184$	$12$	$0$	$1$	$1$		$0$	$1935360$	$1.657549$	$12291328/169$	$0.79421$	$3.54447$	$[0, 0, 0, -78204, 8317064]$	\(y^2=x^3-78204x+8317064\)	2.2.0.a.1, 14.6.0.a.1, 312.4.0.?, 2184.12.0.?	$[ ]$
366912.ol1	366912ol1	366912.ol	366912ol	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$2184$	$12$	$0$	$3.982333136$	$1$		$0$	$276480$	$0.684593$	$12291328/169$	$0.79421$	$2.63324$	$[0, 0, 0, -1596, 24248]$	\(y^2=x^3-1596x+24248\)	2.2.0.a.1, 14.6.0.a.1, 2184.12.0.?	$[(253/3, 1079/3)]$
366912.po1	366912po1	366912.po	366912po	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$2184$	$12$	$0$	$1$	$4$	$2$	$0$	$276480$	$0.684593$	$12291328/169$	$0.79421$	$2.63324$	$[0, 0, 0, -1596, -24248]$	\(y^2=x^3-1596x-24248\)	2.2.0.a.1, 14.6.0.a.1, 2184.12.0.?	$[ ]$

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