Elliptic curve search results

Results (28 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
1950.i2	1950j1	1950.i	1950j	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$0.528865113$	$1$		$9$	$256$	$-0.359325$	$3307949/468$	$0.85630$	$2.61896$	$[1, 0, 1, -16, -22]$	\(y^2+xy+y=x^3-16x-22\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(-2, 2)]$
1950.r2	1950t1	1950.r	1950t	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$1280$	$0.445394$	$3307949/468$	$0.85630$	$3.89366$	$[1, 1, 1, -388, -2719]$	\(y^2+xy+y=x^3+x^2-388x-2719\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[]$
5850.o2	5850y1	5850.o	5850y	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$10240$	$0.994700$	$3307949/468$	$0.85630$	$4.16044$	$[1, -1, 0, -3492, 69916]$	\(y^2+xy=x^3-x^2-3492x+69916\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[]$
5850.bs2	5850bu1	5850.bs	5850bu	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$2048$	$0.189981$	$3307949/468$	$0.85630$	$3.04718$	$[1, -1, 1, -140, 587]$	\(y^2+xy+y=x^3-x^2-140x+587\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[]$
15600.t2	15600bo1	15600.t	15600bo	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{2} \cdot 5^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$0.656542038$	$1$		$9$	$6144$	$0.333822$	$3307949/468$	$0.85630$	$2.91640$	$[0, -1, 0, -248, 1392]$	\(y^2=x^3-x^2-248x+1392\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(2, 30)]$
15600.co2	15600ct1	15600.co	15600ct	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{2} \cdot 5^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$2.119295569$	$1$		$5$	$30720$	$1.138542$	$3307949/468$	$0.85630$	$3.91657$	$[0, 1, 0, -6208, 161588]$	\(y^2=x^3+x^2-6208x+161588\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(74, 336)]$
25350.n2	25350o1	25350.n	25350o	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 5^{9} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$215040$	$1.727869$	$3307949/468$	$0.85630$	$4.42644$	$[1, 1, 0, -65575, -5645375]$	\(y^2+xy=x^3+x^2-65575x-5645375\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[]$
25350.dd2	25350dg1	25350.dd	25350dg	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 5^{3} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$43008$	$0.923150$	$3307949/468$	$0.85630$	$3.47416$	$[1, 0, 0, -2623, -45163]$	\(y^2+xy=x^3-2623x-45163\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[]$
46800.ck2	46800em1	46800.ck	46800em	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{3} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$3.259641360$	$1$		$17$	$49152$	$0.883128$	$3307949/468$	$0.85630$	$3.23143$	$[0, 0, 0, -2235, -35350]$	\(y^2=x^3-2235x-35350\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(55, 90), (-25, 70)]$
46800.cm2	46800fe1	46800.cm	46800fe	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$4.046285581$	$1$		$3$	$245760$	$1.687847$	$3307949/468$	$0.85630$	$4.12941$	$[0, 0, 0, -55875, -4418750]$	\(y^2=x^3-55875x-4418750\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(-94, 54)]$
62400.ch2	62400fk1	62400.ch	62400fk	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1.832706863$	$1$		$5$	$245760$	$1.485115$	$3307949/468$	$0.85630$	$3.80149$	$[0, -1, 0, -24833, 1317537]$	\(y^2=x^3-x^2-24833x+1317537\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(53, 384)]$
62400.da2	62400bp1	62400.da	62400bp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1.640138534$	$1$		$5$	$49152$	$0.680396$	$3307949/468$	$0.85630$	$2.92690$	$[0, -1, 0, -993, -10143]$	\(y^2=x^3-x^2-993x-10143\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(-13, 20)]$
62400.fi2	62400hy1	62400.fi	62400hy	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1.552704853$	$1$		$5$	$49152$	$0.680396$	$3307949/468$	$0.85630$	$2.92690$	$[0, 1, 0, -993, 10143]$	\(y^2=x^3+x^2-993x+10143\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(33, 120)]$
62400.ga2	62400dh1	62400.ga	62400dh	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$5.599677626$	$1$		$1$	$245760$	$1.485115$	$3307949/468$	$0.85630$	$3.80149$	$[0, 1, 0, -24833, -1317537]$	\(y^2=x^3+x^2-24833x-1317537\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(-299/2, 2847/2)]$
76050.bd2	76050ci1	76050.bd	76050ci	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{2} \cdot 3^{8} \cdot 5^{3} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$0.788945112$	$1$		$9$	$344064$	$1.472456$	$3307949/468$	$0.85630$	$3.72106$	$[1, -1, 0, -23607, 1219401]$	\(y^2+xy=x^3-x^2-23607x+1219401\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(49, 398)]$
76050.eo2	76050fr1	76050.eo	76050fr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{2} \cdot 3^{8} \cdot 5^{9} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$1720320$	$2.277176$	$3307949/468$	$0.85630$	$4.58025$	$[1, -1, 1, -590180, 151834947]$	\(y^2+xy+y=x^3-x^2-590180x+151834947\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[]$
95550.b2	95550cx1	95550.b	95550cx	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{3} \cdot 7^{6} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$0.655329400$	$1$		$25$	$98304$	$0.613630$	$3307949/468$	$0.85630$	$2.74828$	$[1, 1, 0, -760, 6700]$	\(y^2+xy=x^3+x^2-760x+6700\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(55, 340), (6, 46)]$
95550.iu2	95550la1	95550.iu	95550la	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{9} \cdot 7^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$2.527845270$	$1$		$3$	$491520$	$1.418348$	$3307949/468$	$0.85630$	$3.59037$	$[1, 0, 0, -19013, 875517]$	\(y^2+xy=x^3-19013x+875517\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(-122, 1237)]$
187200.gx2	187200jj1	187200.gx	187200jj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{20} \cdot 3^{8} \cdot 5^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$3.691005872$	$1$		$5$	$1966080$	$2.034420$	$3307949/468$	$0.85630$	$4.00044$	$[0, 0, 0, -223500, 35350000]$	\(y^2=x^3-223500x+35350000\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(414, 3712)]$
187200.ha2	187200ji1	187200.ha	187200ji	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{20} \cdot 3^{8} \cdot 5^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$393216$	$1.229702$	$3307949/468$	$0.85630$	$3.20500$	$[0, 0, 0, -8940, 282800]$	\(y^2=x^3-8940x+282800\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[]$
187200.jm2	187200bh1	187200.jm	187200bh	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{20} \cdot 3^{8} \cdot 5^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$4$	$2$	$1$	$1966080$	$2.034420$	$3307949/468$	$0.85630$	$4.00044$	$[0, 0, 0, -223500, -35350000]$	\(y^2=x^3-223500x-35350000\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[]$
187200.jp2	187200be1	187200.jp	187200be	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{20} \cdot 3^{8} \cdot 5^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$4.610501529$	$1$		$3$	$393216$	$1.229702$	$3307949/468$	$0.85630$	$3.20500$	$[0, 0, 0, -8940, -282800]$	\(y^2=x^3-8940x-282800\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(2490, 124160)]$
202800.cm2	202800dw1	202800.cm	202800dw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{14} \cdot 3^{2} \cdot 5^{3} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$0.822089134$	$1$		$9$	$1032192$	$1.616297$	$3307949/468$	$0.85630$	$3.56364$	$[0, -1, 0, -41968, 2890432]$	\(y^2=x^3-x^2-41968x+2890432\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(178, 1014)]$
202800.hk2	202800m1	202800.hk	202800m	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{14} \cdot 3^{2} \cdot 5^{9} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$5160960$	$2.421017$	$3307949/468$	$0.85630$	$4.35387$	$[0, 1, 0, -1049208, 359205588]$	\(y^2=x^3+x^2-1049208x+359205588\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[]$
235950.z2	235950z1	235950.z	235950z	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{9} \cdot 11^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$2.318298332$	$1$		$5$	$1382400$	$1.644342$	$3307949/468$	$0.85630$	$3.54723$	$[1, 1, 0, -46950, 3384000]$	\(y^2+xy=x^3+x^2-46950x+3384000\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(39, 1251)]$
235950.ib2	235950ib1	235950.ib	235950ib	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{3} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$276480$	$0.839622$	$3307949/468$	$0.85630$	$2.76667$	$[1, 0, 0, -1878, 27072]$	\(y^2+xy=x^3-1878x+27072\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[]$
286650.ic2	286650ic1	286650.ic	286650ic	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{9} \cdot 7^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$3932160$	$1.967655$	$3307949/468$	$0.85630$	$3.80104$	$[1, -1, 0, -171117, -23638959]$	\(y^2+xy=x^3-x^2-171117x-23638959\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[]$
286650.rs2	286650rs1	286650.rs	286650rs	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{3} \cdot 7^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$786432$	$1.162937$	$3307949/468$	$0.85630$	$3.03257$	$[1, -1, 1, -6845, -187743]$	\(y^2+xy+y=x^3-x^2-6845x-187743\)	2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[]$