Elliptic curve search results

Results (17 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
5160.m4	5160n4	5160.m	5160n	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{3} \cdot 43^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$5160$	$48$	$0$	$1.441918754$	$1$		$7$	$9216$	$1.281534$	$-2580786074884/34615360125$	$1.04688$	$4.52654$	$[0, 1, 0, -2880, 291600]$	\(y^2=x^3+x^2-2880x+291600\)	2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 1032.24.0.?, 5160.48.0.?	$[(0, 540)]$
10320.m4	10320e4	10320.m	10320e	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{3} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$18432$	$1.281534$	$-2580786074884/34615360125$	$1.04688$	$4.18705$	$[0, -1, 0, -2880, -291600]$	\(y^2=x^3-x^2-2880x-291600\)	2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 1032.24.0.?, 5160.48.0.?	$[]$
15480.b4	15480d4	15480.b	15480d	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{3} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$3.503031637$	$1$		$3$	$73728$	$1.830841$	$-2580786074884/34615360125$	$1.04688$	$4.69433$	$[0, 0, 0, -25923, -7899122]$	\(y^2=x^3-25923x-7899122\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0.h.1, 60.24.0-20.h.1.2, $\ldots$	$[(4886, 341334)]$
25800.h4	25800a3	25800.h	25800a	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{9} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$5160$	$48$	$0$	$2.411191938$	$1$		$3$	$221184$	$2.086254$	$-2580786074884/34615360125$	$1.04688$	$4.75999$	$[0, -1, 0, -72008, 36594012]$	\(y^2=x^3-x^2-72008x+36594012\)	2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 1032.24.0.?, 5160.48.0.?	$[(202, 5500)]$
30960.l4	30960c3	30960.l	30960c	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{3} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.830841$	$-2580786074884/34615360125$	$1.04688$	$4.37966$	$[0, 0, 0, -25923, 7899122]$	\(y^2=x^3-25923x+7899122\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 60.24.0-20.h.1.1, $\ldots$	$[]$
41280.l4	41280a3	41280.l	41280a	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{16} \cdot 3^{4} \cdot 5^{3} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$5160$	$48$	$0$	$5.307693681$	$1$		$3$	$147456$	$1.628109$	$-2580786074884/34615360125$	$1.04688$	$4.03221$	$[0, -1, 0, -11521, 2344321]$	\(y^2=x^3-x^2-11521x+2344321\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0.h.1, 40.24.0-20.h.1.2, $\ldots$	$[(323, 5676)]$
41280.ce4	41280cy3	41280.ce	41280cy	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{16} \cdot 3^{4} \cdot 5^{3} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.628109$	$-2580786074884/34615360125$	$1.04688$	$4.03221$	$[0, 1, 0, -11521, -2344321]$	\(y^2=x^3+x^2-11521x-2344321\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0.h.1, 40.24.0-20.h.1.1, $\ldots$	$[]$
51600.cz4	51600y3	51600.cz	51600y	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{9} \cdot 43^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$5160$	$48$	$0$	$7.896688814$	$1$		$3$	$442368$	$2.086254$	$-2580786074884/34615360125$	$1.04688$	$4.45594$	$[0, 1, 0, -72008, -36594012]$	\(y^2=x^3+x^2-72008x-36594012\)	2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 1032.24.0.?, 5160.48.0.?	$[(97279/5, 30263142/5)]$
77400.ba4	77400ba3	77400.ba	77400ba	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{9} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$10.64772218$	$1$		$1$	$1769472$	$2.635559$	$-2580786074884/34615360125$	$1.04688$	$4.88101$	$[0, 0, 0, -648075, -987390250]$	\(y^2=x^3-648075x-987390250\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 60.24.0-20.h.1.1, $\ldots$	$[(540235/9, 393507100/9)]$
123840.ez4	123840gf3	123840.ez	123840gf	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{16} \cdot 3^{10} \cdot 5^{3} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$0.751150278$	$1$		$9$	$1179648$	$2.177414$	$-2580786074884/34615360125$	$1.04688$	$4.21656$	$[0, 0, 0, -103692, 63192976]$	\(y^2=x^3-103692x+63192976\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(32, 7740)]$
123840.fa4	123840ck3	123840.fa	123840ck	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{16} \cdot 3^{10} \cdot 5^{3} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$6.238301554$	$1$		$3$	$1179648$	$2.177414$	$-2580786074884/34615360125$	$1.04688$	$4.21656$	$[0, 0, 0, -103692, -63192976]$	\(y^2=x^3-103692x-63192976\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(740, 16288)]$
154800.dk4	154800fv3	154800.dk	154800fv	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{9} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$3.510896108$	$1$		$3$	$3538944$	$2.635559$	$-2580786074884/34615360125$	$1.04688$	$4.59789$	$[0, 0, 0, -648075, 987390250]$	\(y^2=x^3-648075x+987390250\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0.h.1, 60.24.0-20.h.1.2, $\ldots$	$[(854, 32508)]$
206400.cp4	206400el4	206400.cp	206400el	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{16} \cdot 3^{4} \cdot 5^{9} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$3538944$	$2.432827$	$-2580786074884/34615360125$	$1.04688$	$4.29101$	$[0, -1, 0, -288033, -292464063]$	\(y^2=x^3-x^2-288033x-292464063\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0.h.1, 40.24.0-20.h.1.2, $\ldots$	$[]$
206400.ib4	206400hb3	206400.ib	206400hb	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{16} \cdot 3^{4} \cdot 5^{9} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$5160$	$48$	$0$	$3.483439646$	$1$		$5$	$3538944$	$2.432827$	$-2580786074884/34615360125$	$1.04688$	$4.29101$	$[0, 1, 0, -288033, 292464063]$	\(y^2=x^3+x^2-288033x+292464063\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0.h.1, 40.24.0-20.h.1.1, $\ldots$	$[(-678, 13287)]$
221880.d4	221880bc4	221880.d	221880bc	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{3} \cdot 43^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$17031168$	$3.162136$	$-2580786074884/34615360125$	$1.04688$	$4.97675$	$[0, -1, 0, -5325736, -23258798564]$	\(y^2=x^3-x^2-5325736x-23258798564\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$	$[]$
252840.i4	252840i4	252840.i	252840i	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{3} \cdot 7^{6} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$36120$	$48$	$0$	$1$	$1$		$1$	$3538944$	$2.254490$	$-2580786074884/34615360125$	$1.04688$	$4.04899$	$[0, -1, 0, -141136, -100301060]$	\(y^2=x^3-x^2-141136x-100301060\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.2, 140.24.0.?, $\ldots$	$[]$
443760.ca4	443760ca3	443760.ca	443760ca	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{3} \cdot 43^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$15.42411225$	$1$		$1$	$34062336$	$3.162136$	$-2580786074884/34615360125$	$1.04688$	$4.71145$	$[0, 1, 0, -5325736, 23258798564]$	\(y^2=x^3+x^2-5325736x+23258798564\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$	$[(-227505745/307, 4297040562066/307)]$