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.j1	1950f1	1950.j	1950f	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{23} \cdot 3^{7} \cdot 5^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$3864$	$1.200220$	$-3214683778008145/238496514048$	$1.01651$	$5.15419$	$[1, 0, 1, -8991, -349262]$	\(y^2+xy+y=x^3-8991x-349262\)	312.2.0.?	$[]$
1950.s1	1950s1	1950.s	1950s	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{23} \cdot 3^{7} \cdot 5^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$19320$	$2.004940$	$-3214683778008145/238496514048$	$1.01651$	$6.42889$	$[1, 1, 1, -224763, -43657719]$	\(y^2+xy+y=x^3+x^2-224763x-43657719\)	312.2.0.?	$[]$
5850.l1	5850x1	5850.l	5850x	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{23} \cdot 3^{13} \cdot 5^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$154560$	$2.554245$	$-3214683778008145/238496514048$	$1.01651$	$6.37457$	$[1, -1, 0, -2022867, 1176735541]$	\(y^2+xy=x^3-x^2-2022867x+1176735541\)	312.2.0.?	$[]$
5850.bp1	5850bl1	5850.bp	5850bl	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{23} \cdot 3^{13} \cdot 5^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.143911850$	$1$		$10$	$30912$	$1.749525$	$-3214683778008145/238496514048$	$1.01651$	$5.26131$	$[1, -1, 1, -80915, 9430067]$	\(y^2+xy+y=x^3-x^2-80915x+9430067\)	312.2.0.?	$[(75, 1906)]$
15600.l1	15600y1	15600.l	15600y	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{35} \cdot 3^{7} \cdot 5^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$92736$	$1.893366$	$-3214683778008145/238496514048$	$1.01651$	$4.90561$	$[0, -1, 0, -143848, 22352752]$	\(y^2=x^3-x^2-143848x+22352752\)	312.2.0.?	$[]$
15600.ck1	15600cs1	15600.ck	15600cs	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{35} \cdot 3^{7} \cdot 5^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1.233126348$	$1$		$4$	$463680$	$2.698086$	$-3214683778008145/238496514048$	$1.01651$	$5.90577$	$[0, 1, 0, -3596208, 2786901588]$	\(y^2=x^3+x^2-3596208x+2786901588\)	312.2.0.?	$[(1842, 49152)]$
25350.k1	25350n1	25350.k	25350n	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{23} \cdot 3^{7} \cdot 5^{8} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$3245760$	$3.287415$	$-3214683778008145/238496514048$	$1.01651$	$6.32041$	$[1, 1, 0, -37984950, -95726083500]$	\(y^2+xy=x^3+x^2-37984950x-95726083500\)	312.2.0.?	$[]$
25350.cx1	25350cr1	25350.cx	25350cr	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{23} \cdot 3^{7} \cdot 5^{2} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.220134016$	$1$		$10$	$649152$	$2.482693$	$-3214683778008145/238496514048$	$1.01651$	$5.36813$	$[1, 0, 0, -1519398, -765808668]$	\(y^2+xy=x^3-1519398x-765808668\)	312.2.0.?	$[(2796, 128394)]$
46800.dg1	46800cv1	46800.dg	46800cv	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{35} \cdot 3^{13} \cdot 5^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$11.40866253$	$1$		$0$	$741888$	$2.442673$	$-3214683778008145/238496514048$	$1.01651$	$5.01741$	$[0, 0, 0, -1294635, -602229670]$	\(y^2=x^3-1294635x-602229670\)	312.2.0.?	$[(13387349/95, 23343546368/95)]$
46800.di1	46800fd1	46800.di	46800fd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{35} \cdot 3^{13} \cdot 5^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$8.611226704$	$1$		$0$	$3709440$	$3.247391$	$-3214683778008145/238496514048$	$1.01651$	$5.91540$	$[0, 0, 0, -32365875, -75278708750]$	\(y^2=x^3-32365875x-75278708750\)	312.2.0.?	$[(950225/2, 926006175/2)]$
62400.ck1	62400x1	62400.ck	62400x	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{41} \cdot 3^{7} \cdot 5^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$9$	$3$	$0$	$741888$	$2.239941$	$-3214683778008145/238496514048$	$1.01651$	$4.66635$	$[0, -1, 0, -575393, -178246623]$	\(y^2=x^3-x^2-575393x-178246623\)	312.2.0.?	$[]$
62400.cu1	62400fi1	62400.cu	62400fi	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{41} \cdot 3^{7} \cdot 5^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$4.095047302$	$1$		$0$	$3709440$	$3.044659$	$-3214683778008145/238496514048$	$1.01651$	$5.54094$	$[0, -1, 0, -14384833, 22309597537]$	\(y^2=x^3-x^2-14384833x+22309597537\)	312.2.0.?	$[(213333/7, 70451200/7)]$
62400.fj1	62400dg1	62400.fj	62400dg	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{41} \cdot 3^{7} \cdot 5^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$2.140325556$	$1$		$2$	$3709440$	$3.044659$	$-3214683778008145/238496514048$	$1.01651$	$5.54094$	$[0, 1, 0, -14384833, -22309597537]$	\(y^2=x^3+x^2-14384833x-22309597537\)	312.2.0.?	$[(29083, 4915200)]$
62400.fw1	62400gw1	62400.fw	62400gw	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{41} \cdot 3^{7} \cdot 5^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$741888$	$2.239941$	$-3214683778008145/238496514048$	$1.01651$	$4.66635$	$[0, 1, 0, -575393, 178246623]$	\(y^2=x^3+x^2-575393x+178246623\)	312.2.0.?	$[]$
76050.bu1	76050bb1	76050.bu	76050bb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{23} \cdot 3^{13} \cdot 5^{2} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$5193216$	$3.032001$	$-3214683778008145/238496514048$	$1.01651$	$5.42989$	$[1, -1, 0, -13674582, 20676834036]$	\(y^2+xy=x^3-x^2-13674582x+20676834036\)	312.2.0.?	$[]$
76050.fd1	76050fq1	76050.fd	76050fq	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{23} \cdot 3^{13} \cdot 5^{8} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$25966080$	$3.836720$	$-3214683778008145/238496514048$	$1.01651$	$6.28909$	$[1, -1, 1, -341864555, 2584262389947]$	\(y^2+xy+y=x^3-x^2-341864555x+2584262389947\)	312.2.0.?	$[]$
95550.cq1	95550bm1	95550.cq	95550bm	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{23} \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$7.566304802$	$1$		$0$	$1483776$	$2.173176$	$-3214683778008145/238496514048$	$1.01651$	$4.42310$	$[1, 1, 0, -440535, 119356245]$	\(y^2+xy=x^3+x^2-440535x+119356245\)	312.2.0.?	$[(13289/5, 714003/5)]$
95550.la1	95550ku1	95550.la	95550ku	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{23} \cdot 3^{7} \cdot 5^{8} \cdot 7^{6} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.114055721$	$1$		$12$	$7418880$	$2.977894$	$-3214683778008145/238496514048$	$1.01651$	$5.26519$	$[1, 0, 0, -11013388, 14941557392]$	\(y^2+xy=x^3-11013388x+14941557392\)	312.2.0.?	$[(2552, 57524)]$
187200.hf1	187200ba1	187200.hf	187200ba	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{41} \cdot 3^{13} \cdot 5^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$29675520$	$3.593964$	$-3214683778008145/238496514048$	$1.01651$	$5.58248$	$[0, 0, 0, -129463500, -602229670000]$	\(y^2=x^3-129463500x-602229670000\)	312.2.0.?	$[]$
187200.hk1	187200eg1	187200.hk	187200eg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{41} \cdot 3^{13} \cdot 5^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$5935104$	$2.789246$	$-3214683778008145/238496514048$	$1.01651$	$4.78704$	$[0, 0, 0, -5178540, -4817837360]$	\(y^2=x^3-5178540x-4817837360\)	312.2.0.?	$[]$
187200.jb1	187200jr1	187200.jb	187200jr	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{41} \cdot 3^{13} \cdot 5^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$14.57600630$	$1$		$0$	$29675520$	$3.593964$	$-3214683778008145/238496514048$	$1.01651$	$5.58248$	$[0, 0, 0, -129463500, 602229670000]$	\(y^2=x^3-129463500x+602229670000\)	312.2.0.?	$[(-56815096/67, 138929234292/67)]$
187200.jg1	187200ms1	187200.jg	187200ms	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{41} \cdot 3^{13} \cdot 5^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$6.722086828$	$1$		$0$	$5935104$	$2.789246$	$-3214683778008145/238496514048$	$1.01651$	$4.78704$	$[0, 0, 0, -5178540, 4817837360]$	\(y^2=x^3-5178540x+4817837360\)	312.2.0.?	$[(206134/23, 650575872/23)]$
202800.dj1	202800fv1	202800.dj	202800fv	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{35} \cdot 3^{7} \cdot 5^{2} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$15579648$	$3.175842$	$-3214683778008145/238496514048$	$1.01651$	$5.13532$	$[0, -1, 0, -24310368, 49011754752]$	\(y^2=x^3-x^2-24310368x+49011754752\)	312.2.0.?	$[]$
202800.if1	202800v1	202800.if	202800v	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{35} \cdot 3^{7} \cdot 5^{8} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$77898240$	$3.980560$	$-3214683778008145/238496514048$	$1.01651$	$5.92555$	$[0, 1, 0, -607759208, 6125253825588]$	\(y^2=x^3+x^2-607759208x+6125253825588\)	312.2.0.?	$[]$
235950.ba1	235950ba1	235950.ba	235950ba	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{23} \cdot 3^{7} \cdot 5^{8} \cdot 11^{6} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$20.99805837$	$1$		$0$	$24729600$	$3.203884$	$-3214683778008145/238496514048$	$1.01651$	$5.09968$	$[1, 1, 0, -27196325, 57972442125]$	\(y^2+xy=x^3+x^2-27196325x+57972442125\)	312.2.0.?	$[(5513482519/1871, 898806666314686/1871)]$
235950.ic1	235950ic1	235950.ic	235950ic	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{23} \cdot 3^{7} \cdot 5^{2} \cdot 11^{6} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.225202914$	$1$		$8$	$4945920$	$2.399166$	$-3214683778008145/238496514048$	$1.01651$	$4.31911$	$[1, 0, 0, -1087853, 463779537]$	\(y^2+xy=x^3-1087853x+463779537\)	312.2.0.?	$[(1858, 68767)]$
286650.bb1	286650bb1	286650.bb	286650bb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{23} \cdot 3^{13} \cdot 5^{8} \cdot 7^{6} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$9$	$3$	$0$	$59351040$	$3.527199$	$-3214683778008145/238496514048$	$1.01651$	$5.32943$	$[1, -1, 0, -99120492, -403422049584]$	\(y^2+xy=x^3-x^2-99120492x-403422049584\)	312.2.0.?	$[]$
286650.ka1	286650ka1	286650.ka	286650ka	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{23} \cdot 3^{13} \cdot 5^{2} \cdot 7^{6} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$2.256525304$	$1$		$2$	$11870208$	$2.722481$	$-3214683778008145/238496514048$	$1.01651$	$4.56096$	$[1, -1, 1, -3964820, -3226583433]$	\(y^2+xy+y=x^3-x^2-3964820x-3226583433\)	312.2.0.?	$[(3173, 125421)]$