Elliptic curve search results

Results (15 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
4641.b1	4641b5	4641.b	4641b	$6$	$8$	\( 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{2} \cdot 7^{2} \cdot 13^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.55	2B	$74256$	$192$	$1$	$0.521669926$	$1$		$8$	$12288$	$1.381887$	$7389727131216686257/6115533215337$	$0.95823$	$5.14607$	$[1, 1, 1, -40579, -3160960]$	\(y^2+xy+y=x^3+x^2-40579x-3160960\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 34.6.0.a.1, 68.24.0-68.g.1.1, $\ldots$	$[(-116, 12)]$
13923.i1	13923f5	13923.i	13923f	$6$	$8$	\( 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{8} \cdot 7^{2} \cdot 13^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$74256$	$192$	$1$	$1.868256652$	$1$		$2$	$98304$	$1.931192$	$7389727131216686257/6115533215337$	$0.95823$	$5.24439$	$[1, -1, 0, -365211, 84980704]$	\(y^2+xy=x^3-x^2-365211x+84980704\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$	$[(620, 9518)]$
32487.e1	32487m6	32487.e	32487m	$6$	$8$	\( 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 3^{2} \cdot 7^{8} \cdot 13^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$74256$	$192$	$1$	$8.257050588$	$1$		$2$	$589824$	$2.354843$	$7389727131216686257/6115533215337$	$0.95823$	$5.30602$	$[1, 0, 0, -1988372, 1078244103]$	\(y^2+xy=x^3-1988372x+1078244103\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.7, 28.12.0-4.c.1.1, $\ldots$	$[(6838, 550861)]$
60333.l1	60333d6	60333.l	60333d	$6$	$8$	\( 3 \cdot 7 \cdot 13^{2} \cdot 17 \)	\( 3^{2} \cdot 7^{2} \cdot 13^{14} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.9	2B	$74256$	$192$	$1$	$22.79052503$	$1$		$0$	$2064384$	$2.664360$	$7389727131216686257/6115533215337$	$0.95823$	$5.34505$	$[1, 1, 0, -6857854, -6910339457]$	\(y^2+xy=x^3+x^2-6857854x-6910339457\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.4, 34.6.0.a.1, $\ldots$	$[(-21503620129/3806, 107121085005577/3806)]$
74256.cd1	74256dd6	74256.cd	74256dd	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{2} \cdot 7^{2} \cdot 13^{8} \cdot 17 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.45	2B	$74256$	$192$	$1$	$1$	$1$		$3$	$786432$	$2.075035$	$7389727131216686257/6115533215337$	$0.95823$	$4.61553$	$[0, 1, 0, -649264, 201002900]$	\(y^2=x^3+x^2-649264x+201002900\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 34.6.0.a.1, 68.24.0-68.g.1.2, $\ldots$	$[]$
78897.g1	78897l6	78897.g	78897l	$6$	$8$	\( 3 \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 3^{2} \cdot 7^{2} \cdot 13^{8} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.56	2B	$74256$	$192$	$1$	$1$	$1$		$0$	$3538944$	$2.798492$	$7389727131216686257/6115533215337$	$0.95823$	$5.36063$	$[1, 0, 0, -11727337, -15447704248]$	\(y^2+xy=x^3-11727337x-15447704248\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 34.6.0.a.1, 68.24.0-68.g.1.1, $\ldots$	$[]$
97461.s1	97461l6	97461.s	97461l	$6$	$8$	\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 3^{8} \cdot 7^{8} \cdot 13^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.89	2B	$74256$	$192$	$1$	$1$	$16$	$2$	$0$	$4718592$	$2.904148$	$7389727131216686257/6115533215337$	$0.95823$	$5.37239$	$[1, -1, 0, -17895348, -29112590781]$	\(y^2+xy=x^3-x^2-17895348x-29112590781\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 34.6.0.a.1, 68.12.0.g.1, $\ldots$	$[]$
116025.bq1	116025bg6	116025.bq	116025bg	$6$	$8$	\( 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 13^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$371280$	$192$	$1$	$3.600472210$	$4$	$2$	$0$	$1572864$	$2.186607$	$7389727131216686257/6115533215337$	$0.95823$	$4.55370$	$[1, 0, 1, -1014476, -393091027]$	\(y^2+xy+y=x^3-1014476x-393091027\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.1, 34.6.0.a.1, $\ldots$	$[(-2277/2, 3323/2)]$
180999.f1	180999e5	180999.f	180999e	$6$	$8$	\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 17 \)	\( 3^{8} \cdot 7^{2} \cdot 13^{14} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$74256$	$192$	$1$	$6.447215561$	$1$		$2$	$16515072$	$3.213669$	$7389727131216686257/6115533215337$	$0.95823$	$5.40448$	$[1, -1, 1, -61720691, 186517444650]$	\(y^2+xy+y=x^3-x^2-61720691x+186517444650\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 34.6.0.a.1, 48.24.0-8.n.1.2, $\ldots$	$[(4745, 19299)]$
222768.fc1	222768bu6	222768.fc	222768bu	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{8} \cdot 7^{2} \cdot 13^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$74256$	$192$	$1$	$2.827982100$	$1$		$3$	$6291456$	$2.624340$	$7389727131216686257/6115533215337$	$0.95823$	$4.73905$	$[0, 0, 0, -5843379, -5432921678]$	\(y^2=x^3-5843379x-5432921678\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$	$[(2799, 11830)]$
236691.r1	236691r5	236691.r	236691r	$6$	$8$	\( 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 3^{8} \cdot 7^{2} \cdot 13^{8} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$74256$	$192$	$1$	$1$	$1$		$0$	$28311552$	$3.347801$	$7389727131216686257/6115533215337$	$0.95823$	$5.41739$	$[1, -1, 0, -105546033, 417088014696]$	\(y^2+xy=x^3-x^2-105546033x+417088014696\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.5, $\ldots$	$[]$
297024.dd1	297024dd5	297024.dd	297024dd	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{18} \cdot 3^{2} \cdot 7^{2} \cdot 13^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.97	2B	$74256$	$192$	$1$	$1$	$1$		$1$	$6291456$	$2.421608$	$7389727131216686257/6115533215337$	$0.95823$	$4.43780$	$[0, -1, 0, -2597057, 1610620257]$	\(y^2=x^3-x^2-2597057x+1610620257\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 34.6.0.a.1, 68.12.0.g.1, $\ldots$	$[]$
297024.gv1	297024gv6	297024.gv	297024gv	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{18} \cdot 3^{2} \cdot 7^{2} \cdot 13^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.95	2B	$74256$	$192$	$1$	$13.68648991$	$1$		$1$	$6291456$	$2.421608$	$7389727131216686257/6115533215337$	$0.95823$	$4.43780$	$[0, 1, 0, -2597057, -1610620257]$	\(y^2=x^3+x^2-2597057x-1610620257\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 34.6.0.a.1, 68.12.0.g.1, $\ldots$	$[(-2470526/51, 47645785/51)]$
348075.z1	348075z5	348075.z	348075z	$6$	$8$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 13^{8} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$371280$	$192$	$1$	$14.23453632$	$1$		$6$	$12582912$	$2.735912$	$7389727131216686257/6115533215337$	$0.95823$	$4.67822$	$[1, -1, 1, -9130280, 10613457722]$	\(y^2+xy+y=x^3-x^2-9130280x+10613457722\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 34.6.0.a.1, 60.12.0-4.c.1.1, $\ldots$	$[(1839, 5380), (2539, 60330)]$
422331.br1	422331br5	422331.br	422331br	$6$	$8$	\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \)	\( 3^{2} \cdot 7^{8} \cdot 13^{14} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$74256$	$192$	$1$	$33.66922082$	$1$		$0$	$99090432$	$3.637318$	$7389727131216686257/6115533215337$	$0.95823$	$5.44344$	$[1, 0, 1, -336034872, 2369238329161]$	\(y^2+xy+y=x^3-336034872x+2369238329161\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 34.6.0.a.1, 48.24.0-8.n.1.6, $\ldots$	$[(780724513583711/140506, 19740570243020684642373/140506)]$