Elliptic curve search results

Results (11 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
26520.u1	26520y1	26520.u	26520y	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 13^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1.748694602$	$1$		$3$	$184320$	$1.892763$	$2396726313900986596/4154072495625$	$0.95396$	$4.83544$	$[0, 1, 0, -281016, 57158784]$	\(y^2=x^3+x^2-281016x+57158784\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(264, 1200)]$
53040.m1	53040a1	53040.m	53040a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 13^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$2.594369118$	$1$		$3$	$368640$	$1.892763$	$2396726313900986596/4154072495625$	$0.95396$	$4.52735$	$[0, -1, 0, -281016, -57158784]$	\(y^2=x^3-x^2-281016x-57158784\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(-314, 150)]$
79560.bm1	79560w1	79560.bm	79560w	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 13^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$1$		$1$	$1474560$	$2.442070$	$2396726313900986596/4154072495625$	$0.95396$	$4.94882$	$[0, 0, 0, -2529147, -1545816314]$	\(y^2=x^3-2529147x-1545816314\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[]$
132600.n1	132600ci1	132600.n	132600ci	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{10} \cdot 13^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$2.253936668$	$1$		$5$	$4423680$	$2.697483$	$2396726313900986596/4154072495625$	$0.95396$	$4.99434$	$[0, -1, 0, -7025408, 7158898812]$	\(y^2=x^3-x^2-7025408x+7158898812\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(1586, 1872)]$
159120.dr1	159120de1	159120.dr	159120de	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 13^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$1$		$1$	$2949120$	$2.442070$	$2396726313900986596/4154072495625$	$0.95396$	$4.66242$	$[0, 0, 0, -2529147, 1545816314]$	\(y^2=x^3-2529147x+1545816314\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[]$
212160.cy1	212160go1	212160.cy	212160go	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 13^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$0.493820411$	$1$		$9$	$2949120$	$2.239338$	$2396726313900986596/4154072495625$	$0.95396$	$4.35471$	$[0, -1, 0, -1124065, 458394337]$	\(y^2=x^3-x^2-1124065x+458394337\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(424, 7605)]$
212160.gu1	212160p1	212160.gu	212160p	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 13^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$0.725748373$	$1$		$7$	$2949120$	$2.239338$	$2396726313900986596/4154072495625$	$0.95396$	$4.35471$	$[0, 1, 0, -1124065, -458394337]$	\(y^2=x^3+x^2-1124065x-458394337\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(-619, 780)]$
265200.fm1	265200fm1	265200.fm	265200fm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{10} \cdot 13^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$1$		$1$	$8847360$	$2.697483$	$2396726313900986596/4154072495625$	$0.95396$	$4.71714$	$[0, 1, 0, -7025408, -7158898812]$	\(y^2=x^3+x^2-7025408x-7158898812\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[]$
344760.cn1	344760cn1	344760.cn	344760cn	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 13^{12} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$3.098605788$	$1$		$3$	$30965760$	$3.175240$	$2396726313900986596/4154072495625$	$0.95396$	$5.06971$	$[0, 1, 0, -47491760, 125767815408]$	\(y^2=x^3+x^2-47491760x+125767815408\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(-2804, 486720)]$
397800.cg1	397800cg1	397800.cg	397800cg	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 13^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$1$		$1$	$35389440$	$3.246788$	$2396726313900986596/4154072495625$	$0.95396$	$5.08003$	$[0, 0, 0, -63228675, -193227039250]$	\(y^2=x^3-63228675x-193227039250\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[]$
450840.z1	450840z1	450840.z	450840z	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 13^{6} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$2.786461989$	$1$		$5$	$53084160$	$3.309372$	$2396726313900986596/4154072495625$	$0.95396$	$5.08887$	$[0, -1, 0, -81213720, 281308387932]$	\(y^2=x^3-x^2-81213720x+281308387932\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(4749, 52020)]$