Elliptic curve search results

Results (29 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
1122.g1	1122g2	1122.g	1122g	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{13} \cdot 3^{26} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$32448$	$2.473660$	$150476552140919246594353/42832838728685592576$	$1.04321$	$7.59919$	$[1, 1, 1, -1108107, 319580601]$	\(y^2+xy+y=x^3+x^2-1108107x+319580601\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
3366.b1	3366b2	3366.b	3366b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{13} \cdot 3^{32} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$4$	$2$	$0$	$259584$	$3.022968$	$150476552140919246594353/42832838728685592576$	$1.04321$	$7.38286$	$[1, -1, 0, -9972963, -8638649195]$	\(y^2+xy=x^3-x^2-9972963x-8638649195\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
8976.bb1	8976bb2	8976.bb	8976bb	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{25} \cdot 3^{26} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$778752$	$3.166809$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.77695$	$[0, 1, 0, -17729712, -20488617900]$	\(y^2=x^3+x^2-17729712x-20488617900\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
12342.e1	12342b2	12342.e	12342b	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{13} \cdot 3^{26} \cdot 11^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$16$	$2$	$0$	$3893760$	$3.672607$	$150476552140919246594353/42832838728685592576$	$1.04321$	$7.19214$	$[1, 1, 0, -134080949, -426032184915]$	\(y^2+xy=x^3+x^2-134080949x-426032184915\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
19074.bc1	19074bb2	19074.bc	19074bb	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{13} \cdot 3^{26} \cdot 11^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.286753433$	$1$		$14$	$9345024$	$3.890266$	$150476552140919246594353/42832838728685592576$	$1.04321$	$7.13949$	$[1, 0, 0, -320242929, 1572341194089]$	\(y^2+xy=x^3-320242929x+1572341194089\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(15834, 678747)]$
26928.s1	26928bo2	26928.s	26928bo	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{25} \cdot 3^{32} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$9$	$3$	$1$	$6230016$	$3.716114$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.69327$	$[0, 0, 0, -159567411, 553033115890]$	\(y^2=x^3-159567411x+553033115890\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
28050.bp1	28050bg2	28050.bp	28050bg	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{13} \cdot 3^{26} \cdot 5^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.185262338$	$1$		$8$	$4153344$	$3.278381$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.15371$	$[1, 0, 1, -27702676, 40002980498]$	\(y^2+xy+y=x^3-27702676x+40002980498\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(1552, 26561)]$
35904.j1	35904cd2	35904.j	35904cd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{31} \cdot 3^{26} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$6230016$	$3.513382$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.27774$	$[0, -1, 0, -70918849, -163838024351]$	\(y^2=x^3-x^2-70918849x-163838024351\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
35904.bz1	35904bf2	35904.bz	35904bf	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{31} \cdot 3^{26} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.400803753$	$1$		$5$	$6230016$	$3.513382$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.27774$	$[0, 1, 0, -70918849, 163838024351]$	\(y^2=x^3+x^2-70918849x+163838024351\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(10907, 829440)]$
37026.ba1	37026bk2	37026.ba	37026bk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{13} \cdot 3^{32} \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$4.743455549$	$1$		$2$	$31150080$	$4.221916$	$150476552140919246594353/42832838728685592576$	$1.04321$	$7.06764$	$[1, -1, 1, -1206728546, 11501662264161]$	\(y^2+xy+y=x^3-x^2-1206728546x+11501662264161\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(77201, 19415295)]$
54978.bx1	54978ca2	54978.bx	54978ca	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{13} \cdot 3^{26} \cdot 7^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.512841706$	$1$		$10$	$11681280$	$3.446617$	$150476552140919246594353/42832838728685592576$	$1.04321$	$5.95927$	$[1, 0, 0, -54297244, -109779037936]$	\(y^2+xy=x^3-54297244x-109779037936\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-4360, 212132)]$
57222.z1	57222t2	57222.z	57222t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{13} \cdot 3^{32} \cdot 11^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$75.01989152$	$1$		$0$	$74760192$	$4.439575$	$150476552140919246594353/42832838728685592576$	$1.04321$	$7.02521$	$[1, -1, 0, -2882186361, -42453212240403]$	\(y^2+xy=x^3-x^2-2882186361x-42453212240403\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-183161040400269792489962865655343/89365285761661, 2437332391392951286189576130753989101096804162399/89365285761661)]$
84150.gc1	84150ff2	84150.gc	84150ff	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{13} \cdot 3^{32} \cdot 5^{6} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$33226752$	$3.827686$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.13882$	$[1, -1, 1, -249324080, -1080080473453]$	\(y^2+xy+y=x^3-x^2-249324080x-1080080473453\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
98736.dc1	98736da2	98736.dc	98736da	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{25} \cdot 3^{26} \cdot 11^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$93450240$	$4.365753$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.61495$	$[0, 1, 0, -2145295192, 27261769244180]$	\(y^2=x^3+x^2-2145295192x+27261769244180\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
107712.ds1	107712by2	107712.ds	107712by	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{31} \cdot 3^{32} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$58.56769270$	$1$		$1$	$49840128$	$4.062691$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.25141$	$[0, 0, 0, -638269644, -4424264927120]$	\(y^2=x^3-638269644x-4424264927120\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-15471380286399609340453787/34365272313, 52744826145319493793553918806857841815/34365272313)]$
107712.dy1	107712dk2	107712.dy	107712dk	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{31} \cdot 3^{32} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$53.23440795$	$1$		$1$	$49840128$	$4.062691$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.25141$	$[0, 0, 0, -638269644, 4424264927120]$	\(y^2=x^3-638269644x+4424264927120\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(2281953969731501897750080/7696935479, 2773240974541034200305170627708043180/7696935479)]$
152592.k1	152592bp2	152592.k	152592bp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{25} \cdot 3^{26} \cdot 11^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$16.47519597$	$1$		$1$	$224280576$	$4.583412$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.59252$	$[0, -1, 0, -5123886864, -100629836421696]$	\(y^2=x^3-x^2-5123886864x-100629836421696\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-357333598/127, 2906785700890/127)]$
164934.bd1	164934do2	164934.bd	164934do	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{13} \cdot 3^{32} \cdot 7^{6} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$93450240$	$3.995922$	$150476552140919246594353/42832838728685592576$	$1.04321$	$5.96299$	$[1, -1, 0, -488675196, 2964034024272]$	\(y^2+xy=x^3-x^2-488675196x+2964034024272\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
189618.b1	189618bj2	189618.b	189618bj	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \)	\( 2^{13} \cdot 3^{26} \cdot 11^{2} \cdot 13^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$9$	$3$	$0$	$70087680$	$3.756134$	$150476552140919246594353/42832838728685592576$	$1.04321$	$5.65779$	$[1, 1, 0, -187270086, 703054931220]$	\(y^2+xy=x^3+x^2-187270086x+703054931220\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
209814.bi1	209814bs2	209814.bi	209814bs	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( 2^{13} \cdot 3^{26} \cdot 11^{8} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$6.724432974$	$1$		$0$	$1121402880$	$5.089218$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.91651$	$[1, 0, 1, -38749394412, -2092824878726870]$	\(y^2+xy+y=x^3-38749394412x-2092824878726870\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-404965/2, 225617847/2)]$
224400.bf1	224400et2	224400.bf	224400et	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{25} \cdot 3^{26} \cdot 5^{6} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$99680256$	$3.971527$	$150476552140919246594353/42832838728685592576$	$1.04321$	$5.79023$	$[0, -1, 0, -443242808, -2560190751888]$	\(y^2=x^3-x^2-443242808x-2560190751888\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
296208.ba1	296208ba2	296208.ba	296208ba	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{25} \cdot 3^{32} \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$18.23507918$	$1$		$1$	$747601920$	$4.915062$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.56132$	$[0, 0, 0, -19307656731, -736087077249590]$	\(y^2=x^3-19307656731x-736087077249590\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-2251696799/150, 46992623580199/150)]$
308550.ik1	308550ik2	308550.ik	308550ik	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{13} \cdot 3^{26} \cdot 5^{6} \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.582926218$	$1$		$12$	$498401280$	$4.477325$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.12455$	$[1, 0, 0, -3352023738, -53247319066908]$	\(y^2+xy=x^3-3352023738x-53247319066908\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-25092, 3893742)]$
394944.u1	394944u2	394944.u	394944u	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{31} \cdot 3^{26} \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$47.18266215$	$1$		$1$	$747601920$	$4.712326$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.22606$	$[0, -1, 0, -8581180769, 218102735134209]$	\(y^2=x^3-x^2-8581180769x+218102735134209\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(10370368395609488713000/199602327, 993886389973438185955372800374051/199602327)]$
394944.ft1	394944ft2	394944.ft	394944ft	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{31} \cdot 3^{26} \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$13.21955398$	$1$		$1$	$747601920$	$4.712326$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.22606$	$[0, 1, 0, -8581180769, -218102735134209]$	\(y^2=x^3+x^2-8581180769x-218102735134209\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(693543901/31, 18108214287372/31)]$
405042.br1	405042br2	405042.br	405042br	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \)	\( 2^{13} \cdot 3^{26} \cdot 11^{2} \cdot 17 \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$7.718134200$	$1$		$2$	$231289344$	$3.945881$	$150476552140919246594353/42832838728685592576$	$1.04321$	$5.50156$	$[1, 0, 1, -400026635, -2195203556554]$	\(y^2+xy+y=x^3-400026635x-2195203556554\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-6186, 209620)]$
439824.o1	439824o2	439824.o	439824o	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{25} \cdot 3^{26} \cdot 7^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$15.22371025$	$1$		$1$	$280350720$	$4.139763$	$150476552140919246594353/42832838728685592576$	$1.04321$	$5.64573$	$[0, -1, 0, -868755904, 7025858427904]$	\(y^2=x^3-x^2-868755904x+7025858427904\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-588253152/157, 14565382935040/157)]$
457776.em1	457776em2	457776.em	457776em	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{25} \cdot 3^{32} \cdot 11^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$92.78519767$	$1$		$1$	$1794244608$	$5.132721$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.54258$	$[0, 0, 0, -46114981779, 2717051698367570]$	\(y^2=x^3-46114981779x+2717051698367570\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(323518776722053122021396344870234979936655/1329378111483064931, 47568519199882727843084550634925307102194897795516197349041470/1329378111483064931)]$
476850.l1	476850l2	476850.l	476850l	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{13} \cdot 3^{26} \cdot 5^{6} \cdot 11^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$12.63189367$	$1$		$0$	$1196163072$	$4.694984$	$150476552140919246594353/42832838728685592576$	$1.04321$	$6.12040$	$[1, 1, 0, -8006073225, 196542649261125]$	\(y^2+xy=x^3+x^2-8006073225x+196542649261125\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(15462065/32, 291178928135/32)]$