Elliptic curve search results

Results (12 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
6699.f4	6699f1	6699.f	6699f	$4$	$4$	\( 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 3 \cdot 7^{2} \cdot 11^{4} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$7656$	$48$	$0$	$1$	$1$		$1$	$1792$	$0.178028$	$12600539783/62414583$	$0.84977$	$2.86954$	$[1, 0, 1, 48, 361]$	\(y^2+xy+y=x^3+48x+361\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 116.12.0.?, $\ldots$	$[]$
20097.f4	20097i1	20097.f	20097i	$4$	$4$	\( 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( - 3^{7} \cdot 7^{2} \cdot 11^{4} \cdot 29 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$7656$	$48$	$0$	$1$	$1$		$3$	$14336$	$0.727334$	$12600539783/62414583$	$0.84977$	$3.21663$	$[1, -1, 1, 436, -9754]$	\(y^2+xy+y=x^3-x^2+436x-9754\)	2.3.0.a.1, 4.12.0-4.c.1.1, 174.6.0.?, 264.24.0.?, 348.24.0.?, $\ldots$	$[]$
46893.m4	46893e1	46893.m	46893e	$4$	$4$	\( 3 \cdot 7^{2} \cdot 11 \cdot 29 \)	\( - 3 \cdot 7^{8} \cdot 11^{4} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$1$	$4$	$2$	$1$	$86016$	$1.150982$	$12600539783/62414583$	$0.84977$	$3.43590$	$[1, 1, 0, 2376, -121533]$	\(y^2+xy=x^3+x^2+2376x-121533\)	2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 174.6.0.?, 264.12.0.?, $\ldots$	$[]$
73689.i4	73689x1	73689.i	73689x	$4$	$4$	\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3 \cdot 7^{2} \cdot 11^{10} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$7656$	$48$	$0$	$7.563832278$	$1$		$1$	$215040$	$1.376976$	$12600539783/62414583$	$0.84977$	$3.53931$	$[1, 0, 0, 5866, -474957]$	\(y^2+xy=x^3+5866x-474957\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 174.6.0.?, $\ldots$	$[(3654/5, 225057/5)]$
107184.p4	107184bw1	107184.p	107184bw	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 11^{4} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$7656$	$48$	$0$	$2.357253134$	$1$		$15$	$114688$	$0.871175$	$12600539783/62414583$	$0.84977$	$2.90077$	$[0, -1, 0, 776, -23120]$	\(y^2=x^3-x^2+776x-23120\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 116.12.0.?, $\ldots$	$[(42, 286), (36, 224)]$
140679.i4	140679f1	140679.i	140679f	$4$	$4$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \)	\( - 3^{7} \cdot 7^{8} \cdot 11^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$1.435017871$	$1$		$7$	$688128$	$1.700289$	$12600539783/62414583$	$0.84977$	$3.67353$	$[1, -1, 1, 21379, 3302772]$	\(y^2+xy+y=x^3-x^2+21379x+3302772\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 174.6.0.?, 264.12.0.?, $\ldots$	$[(-40, 1563)]$
167475.g4	167475p1	167475.g	167475p	$4$	$4$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( - 3 \cdot 5^{6} \cdot 7^{2} \cdot 11^{4} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$38280$	$48$	$0$	$6.002711374$	$1$		$9$	$229376$	$0.982746$	$12600539783/62414583$	$0.84977$	$2.90445$	$[1, 1, 1, 1212, 45156]$	\(y^2+xy+y=x^3+x^2+1212x+45156\)	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 174.6.0.?, 264.12.0.?, $\ldots$	$[(0, 212), (200, 2787)]$
194271.c4	194271g1	194271.c	194271g	$4$	$4$	\( 3 \cdot 7 \cdot 11 \cdot 29^{2} \)	\( - 3 \cdot 7^{2} \cdot 11^{4} \cdot 29^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$7656$	$48$	$0$	$1$	$1$		$3$	$1505280$	$1.861675$	$12600539783/62414583$	$0.84977$	$3.73520$	$[1, 1, 1, 40771, 8728970]$	\(y^2+xy+y=x^3+x^2+40771x+8728970\)	2.3.0.a.1, 4.12.0-4.c.1.1, 174.6.0.?, 264.24.0.?, 348.24.0.?, $\ldots$	$[]$
221067.bh4	221067be1	221067.bh	221067be	$4$	$4$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{7} \cdot 7^{2} \cdot 11^{10} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$7656$	$48$	$0$	$1$	$1$		$1$	$1720320$	$1.926281$	$12600539783/62414583$	$0.84977$	$3.75898$	$[1, -1, 0, 52794, 12823839]$	\(y^2+xy=x^3-x^2+52794x+12823839\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.2, 174.6.0.?, $\ldots$	$[]$
321552.ek4	321552ek1	321552.ek	321552ek	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{12} \cdot 3^{7} \cdot 7^{2} \cdot 11^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$7656$	$48$	$0$	$3.415849486$	$1$		$3$	$917504$	$1.420481$	$12600539783/62414583$	$0.84977$	$3.16927$	$[0, 0, 0, 6981, 617258]$	\(y^2=x^3+6981x+617258\)	2.3.0.a.1, 4.12.0-4.c.1.2, 174.6.0.?, 264.24.0.?, 348.24.0.?, $\ldots$	$[(166, 2520)]$
428736.do4	428736do1	428736.do	428736do	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{18} \cdot 3 \cdot 7^{2} \cdot 11^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$7656$	$48$	$0$	$1.993711505$	$1$		$5$	$917504$	$1.217749$	$12600539783/62414583$	$0.84977$	$2.91137$	$[0, -1, 0, 3103, 181857]$	\(y^2=x^3-x^2+3103x+181857\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 88.12.0.?, 174.6.0.?, $\ldots$	$[(-17, 352)]$
428736.if4	428736if1	428736.if	428736if	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{18} \cdot 3 \cdot 7^{2} \cdot 11^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$7656$	$48$	$0$	$9.603551898$	$1$		$1$	$917504$	$1.217749$	$12600539783/62414583$	$0.84977$	$2.91137$	$[0, 1, 0, 3103, -181857]$	\(y^2=x^3+x^2+3103x-181857\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 88.12.0.?, 174.6.0.?, $\ldots$	$[(38649/4, 7601685/4)]$