Elliptic curve search results

Results (23 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
4488.g1	4488g1	4488.g	4488g	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$6.595417320$	$1$		$1$	$896$	$0.033397$	$676449508/561$	$0.83058$	$3.24216$	$[0, 1, 0, -184, -1024]$	\(y^2=x^3+x^2-184x-1024\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(601/4, 13797/4)]$
8976.a1	8976f1	8976.a	8976f	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 11 \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$1.508385223$	$1$		$13$	$1792$	$0.033397$	$676449508/561$	$0.83058$	$2.99527$	$[0, -1, 0, -184, 1024]$	\(y^2=x^3-x^2-184x+1024\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(6, 10), (9, 4)]$
13464.s1	13464k1	13464.s	13464k	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$7168$	$0.582704$	$676449508/561$	$0.83058$	$3.56082$	$[0, 0, 0, -1659, 25990]$	\(y^2=x^3-1659x+25990\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[ ]$
26928.bj1	26928o1	26928.bj	26928o	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$3.302142030$	$1$		$3$	$14336$	$0.582704$	$676449508/561$	$0.83058$	$3.31887$	$[0, 0, 0, -1659, -25990]$	\(y^2=x^3-1659x-25990\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(58, 270)]$
35904.bo1	35904p1	35904.bo	35904p	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{16} \cdot 3 \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$1$	$4$	$2$	$1$	$14336$	$0.379971$	$676449508/561$	$0.83058$	$2.99589$	$[0, -1, 0, -737, -7455]$	\(y^2=x^3-x^2-737x-7455\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[ ]$
35904.cq1	35904cl1	35904.cq	35904cl	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{16} \cdot 3 \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$3.547961840$	$1$		$1$	$14336$	$0.379971$	$676449508/561$	$0.83058$	$2.99589$	$[0, 1, 0, -737, 7455]$	\(y^2=x^3+x^2-737x+7455\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(69/2, 105/2)]$
49368.s1	49368s1	49368.s	49368s	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 11^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$107520$	$1.232346$	$676449508/561$	$0.83058$	$3.85408$	$[0, 1, 0, -22304, 1273776]$	\(y^2=x^3+x^2-22304x+1273776\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[ ]$
76296.j1	76296r1	76296.j	76296r	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{10} \cdot 3 \cdot 11 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$15.52482849$	$1$		$1$	$258048$	$1.450005$	$676449508/561$	$0.83058$	$3.93717$	$[0, -1, 0, -53272, -4711460]$	\(y^2=x^3-x^2-53272x-4711460\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(4757529/76, 9908998795/76)]$
98736.u1	98736t1	98736.u	98736t	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 11^{7} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$8.065182291$	$1$		$1$	$215040$	$1.232346$	$676449508/561$	$0.83058$	$3.62178$	$[0, -1, 0, -22304, -1273776]$	\(y^2=x^3-x^2-22304x-1273776\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(33625/4, 6148373/4)]$
107712.m1	107712fg1	107712.m	107712fg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{16} \cdot 3^{7} \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$2.145422194$	$1$		$5$	$114688$	$0.929276$	$676449508/561$	$0.83058$	$3.28072$	$[0, 0, 0, -6636, -207920]$	\(y^2=x^3-6636x-207920\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(-48, 4)]$
107712.br1	107712br1	107712.br	107712br	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{16} \cdot 3^{7} \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$3.153034068$	$1$		$3$	$114688$	$0.929276$	$676449508/561$	$0.83058$	$3.28072$	$[0, 0, 0, -6636, 207920]$	\(y^2=x^3-6636x+207920\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(-82, 448)]$
112200.c1	112200c1	112200.c	112200c	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$114688$	$0.838116$	$676449508/561$	$0.83058$	$3.17512$	$[0, -1, 0, -4608, -118788]$	\(y^2=x^3-x^2-4608x-118788\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[ ]$
148104.bs1	148104r1	148104.bs	148104r	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 11^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$860160$	$1.781651$	$676449508/561$	$0.83058$	$4.05209$	$[0, 0, 0, -200739, -34592690]$	\(y^2=x^3-200739x-34592690\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[ ]$
152592.dd1	152592cz1	152592.dd	152592cz	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{10} \cdot 3 \cdot 11 \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$1$	$4$	$2$	$1$	$516096$	$1.450005$	$676449508/561$	$0.83058$	$3.70852$	$[0, 1, 0, -53272, 4711460]$	\(y^2=x^3+x^2-53272x+4711460\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[ ]$
219912.x1	219912v1	219912.x	219912v	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 7^{6} \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$258048$	$1.006351$	$676449508/561$	$0.83058$	$3.16554$	$[0, -1, 0, -9032, 333180]$	\(y^2=x^3-x^2-9032x+333180\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[ ]$
224400.in1	224400hf1	224400.in	224400hf	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$229376$	$0.838116$	$676449508/561$	$0.83058$	$2.99650$	$[0, 1, 0, -4608, 118788]$	\(y^2=x^3+x^2-4608x+118788\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[ ]$
228888.j1	228888bk1	228888.j	228888bk	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 17^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$5.838899464$	$1$		$11$	$2064384$	$1.999310$	$676449508/561$	$0.83058$	$4.12080$	$[0, 0, 0, -479451, 127688870]$	\(y^2=x^3-479451x+127688870\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(527, 4624), (263, 4448)]$
296208.fh1	296208fh1	296208.fh	296208fh	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 11^{7} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$3.055069990$	$1$		$5$	$1720320$	$1.781651$	$676449508/561$	$0.83058$	$3.82916$	$[0, 0, 0, -200739, 34592690]$	\(y^2=x^3-200739x+34592690\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(235, 630)]$
336600.l1	336600l1	336600.l	336600l	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$917504$	$1.387423$	$676449508/561$	$0.83058$	$3.41898$	$[0, 0, 0, -41475, 3248750]$	\(y^2=x^3-41475x+3248750\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[ ]$
394944.dg1	394944dg1	394944.dg	394944dg	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{16} \cdot 3 \cdot 11^{7} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$4.513618187$	$1$		$3$	$1720320$	$1.578918$	$676449508/561$	$0.83058$	$3.55489$	$[0, -1, 0, -89217, 10279425]$	\(y^2=x^3-x^2-89217x+10279425\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(-343, 640)]$
394944.iw1	394944iw1	394944.iw	394944iw	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{16} \cdot 3 \cdot 11^{7} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$13.70660716$	$1$		$1$	$1720320$	$1.578918$	$676449508/561$	$0.83058$	$3.55489$	$[0, 1, 0, -89217, -10279425]$	\(y^2=x^3+x^2-89217x-10279425\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(4996975/21, 11166767200/21)]$
439824.gc1	439824gc1	439824.gc	439824gc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 7^{6} \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$7.346425263$	$1$		$1$	$516096$	$1.006351$	$676449508/561$	$0.83058$	$2.99668$	$[0, 1, 0, -9032, -333180]$	\(y^2=x^3+x^2-9032x-333180\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(3006/5, 72204/5)]$
457776.bv1	457776bv1	457776.bv	457776bv	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$4488$	$12$	$0$	$2.590693567$	$1$		$3$	$4128768$	$1.999310$	$676449508/561$	$0.83058$	$3.90166$	$[0, 0, 0, -479451, -127688870]$	\(y^2=x^3-479451x-127688870\)	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[(2363, 109242)]$

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