Elliptic curve search results

Results (26 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
2760.g2	2760g1	2760.g	2760g	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 23 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1$	$1$		$1$	$1152$	$0.340558$	$185073116/419175$	$0.87304$	$3.41250$	$[0, -1, 0, 120, -900]$	\(y^2=x^3-x^2+120x-900\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[]$
5520.bd2	5520j1	5520.bd	5520j	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$0.338052454$	$1$		$11$	$2304$	$0.340558$	$185073116/419175$	$0.87304$	$3.13797$	$[0, 1, 0, 120, 900]$	\(y^2=x^3+x^2+120x+900\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(0, 30)]$
8280.l2	8280e1	8280.l	8280e	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1$	$1$		$1$	$9216$	$0.889864$	$185073116/419175$	$0.87304$	$3.72759$	$[0, 0, 0, 1077, 23222]$	\(y^2=x^3+1077x+23222\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[]$
13800.q2	13800k1	13800.q	13800k	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1$	$1$		$1$	$27648$	$1.145277$	$185073116/419175$	$0.87304$	$3.84937$	$[0, 1, 0, 2992, -106512]$	\(y^2=x^3+x^2+2992x-106512\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[]$
16560.d2	16560o1	16560.d	16560o	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1.045285383$	$1$		$7$	$18432$	$0.889864$	$185073116/419175$	$0.87304$	$3.46163$	$[0, 0, 0, 1077, -23222]$	\(y^2=x^3+1077x-23222\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(29, 180)]$
22080.h2	22080bu1	22080.h	22080bu	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 23 \)	\( - 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1.810112085$	$1$		$17$	$18432$	$0.687132$	$185073116/419175$	$0.87304$	$3.11885$	$[0, -1, 0, 479, 6721]$	\(y^2=x^3-x^2+479x+6721\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(16, 135), (5, 96)]$
22080.ca2	22080bf1	22080.ca	22080bf	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 23 \)	\( - 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$0.840343528$	$1$		$7$	$18432$	$0.687132$	$185073116/419175$	$0.87304$	$3.11885$	$[0, 1, 0, 479, -6721]$	\(y^2=x^3+x^2+479x-6721\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(29, 180)]$
27600.bg2	27600h1	27600.bg	27600h	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1$	$1$		$1$	$55296$	$1.145277$	$185073116/419175$	$0.87304$	$3.58844$	$[0, -1, 0, 2992, 106512]$	\(y^2=x^3-x^2+2992x+106512\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[]$
41400.o2	41400by1	41400.o	41400by	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1$	$1$		$1$	$221184$	$1.694584$	$185073116/419175$	$0.87304$	$4.07161$	$[0, 0, 0, 26925, 2902750]$	\(y^2=x^3+26925x+2902750\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[]$
63480.b2	63480j1	63480.b	63480j	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 23^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$5.079968987$	$1$		$3$	$608256$	$1.908304$	$185073116/419175$	$0.87304$	$4.14615$	$[0, -1, 0, 63304, 10443420]$	\(y^2=x^3-x^2+63304x+10443420\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(838, 25520)]$
66240.eb2	66240fy1	66240.eb	66240fy	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{16} \cdot 3^{12} \cdot 5^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$2.486474148$	$1$		$3$	$147456$	$1.236437$	$185073116/419175$	$0.87304$	$3.40398$	$[0, 0, 0, 4308, -185776]$	\(y^2=x^3+4308x-185776\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(418, 8640)]$
66240.fh2	66240cm1	66240.fh	66240cm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{16} \cdot 3^{12} \cdot 5^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1.959939032$	$1$		$5$	$147456$	$1.236437$	$185073116/419175$	$0.87304$	$3.40398$	$[0, 0, 0, 4308, 185776]$	\(y^2=x^3+4308x+185776\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(-18, 320)]$
82800.em2	82800r1	82800.em	82800r	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$6.348174666$	$1$		$15$	$442368$	$1.694584$	$185073116/419175$	$0.87304$	$3.82239$	$[0, 0, 0, 26925, -2902750]$	\(y^2=x^3+26925x-2902750\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(409, 8748), (185, 2900)]$
110400.bk2	110400l1	110400.bk	110400l	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 23 \)	\( - 2^{16} \cdot 3^{6} \cdot 5^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$5.582797659$	$1$		$3$	$442368$	$1.491850$	$185073116/419175$	$0.87304$	$3.51819$	$[0, -1, 0, 11967, -864063]$	\(y^2=x^3-x^2+11967x-864063\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(2703, 140616)]$
110400.ik2	110400il1	110400.ik	110400il	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 23 \)	\( - 2^{16} \cdot 3^{6} \cdot 5^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1$	$1$		$1$	$442368$	$1.491850$	$185073116/419175$	$0.87304$	$3.51819$	$[0, 1, 0, 11967, 864063]$	\(y^2=x^3+x^2+11967x+864063\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[]$
126960.ci2	126960p1	126960.ci	126960p	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 23^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1.141976549$	$1$		$7$	$1216512$	$1.908304$	$185073116/419175$	$0.87304$	$3.90160$	$[0, 1, 0, 63304, -10443420]$	\(y^2=x^3+x^2+63304x-10443420\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(199, 3174)]$
135240.ca2	135240r1	135240.ca	135240r	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1.488401979$	$1$		$5$	$414720$	$1.313513$	$185073116/419175$	$0.87304$	$3.27662$	$[0, 1, 0, 5864, 296960]$	\(y^2=x^3+x^2+5864x+296960\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(32, 720)]$
190440.bd2	190440y1	190440.bd	190440y	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 23^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$7.973965360$	$1$		$9$	$4866048$	$2.457611$	$185073116/419175$	$0.87304$	$4.31368$	$[0, 0, 0, 569733, -282542074]$	\(y^2=x^3+569733x-282542074\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(1127, 42320), (1927, 89280)]$
270480.bp2	270480bp1	270480.bp	270480bp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1$	$1$		$1$	$829440$	$1.313513$	$185073116/419175$	$0.87304$	$3.09504$	$[0, -1, 0, 5864, -296960]$	\(y^2=x^3-x^2+5864x-296960\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[]$
317400.cr2	317400cr1	317400.cr	317400cr	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 23^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$4.074451141$	$1$		$1$	$14598144$	$2.713024$	$185073116/419175$	$0.87304$	$4.38168$	$[0, 1, 0, 1582592, 1308592688]$	\(y^2=x^3+x^2+1582592x+1308592688\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(773/2, 322161/2)]$
331200.eg2	331200eg1	331200.eg	331200eg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{16} \cdot 3^{12} \cdot 5^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$3.498199634$	$1$		$3$	$3538944$	$2.041157$	$185073116/419175$	$0.87304$	$3.73270$	$[0, 0, 0, 107700, 23222000]$	\(y^2=x^3+107700x+23222000\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(214, 7488)]$
331200.my2	331200my1	331200.my	331200my	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{16} \cdot 3^{12} \cdot 5^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$7.394588593$	$1$		$1$	$3538944$	$2.041157$	$185073116/419175$	$0.87304$	$3.73270$	$[0, 0, 0, 107700, -23222000]$	\(y^2=x^3+107700x-23222000\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(7306/3, 660896/3)]$
333960.bn2	333960bn1	333960.bn	333960bn	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 11^{6} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1$	$1$		$1$	$1612800$	$1.539505$	$185073116/419175$	$0.87304$	$3.25696$	$[0, -1, 0, 14480, 1139932]$	\(y^2=x^3-x^2+14480x+1139932\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[]$
380880.ga2	380880ga1	380880.ga	380880ga	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1$	$1$		$1$	$9732096$	$2.457611$	$185073116/419175$	$0.87304$	$4.08100$	$[0, 0, 0, 569733, 282542074]$	\(y^2=x^3+569733x+282542074\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[]$
405720.fy2	405720fy1	405720.fy	405720fy	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$1$	$1$		$1$	$3317760$	$1.862820$	$185073116/419175$	$0.87304$	$3.50831$	$[0, 0, 0, 52773, -7965146]$	\(y^2=x^3+52773x-7965146\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[]$
466440.e2	466440e1	466440.e	466440e	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{6} \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$552$	$12$	$0$	$5.809188118$	$1$		$11$	$2654208$	$1.623034$	$185073116/419175$	$0.87304$	$3.25038$	$[0, -1, 0, 20224, -1896324]$	\(y^2=x^3-x^2+20224x-1896324\)	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[(178, 2704), (101, 1080)]$