Elliptic curve search results

Results (31 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
1155.a1	1155g1	1155.a	1155g	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 3 \cdot 5^{3} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2310$	$2$	$0$	$0.143125989$	$1$		$6$	$144$	$-0.465187$	$-4096/28875$	$0.93381$	$2.51360$	$[0, -1, 1, 0, 8]$	\(y^2+y=x^3-x^2+8\)	2310.2.0.?	$[(-1, 2)]$
3465.s1	3465m1	3465.s	3465m	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 3^{7} \cdot 5^{3} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$1152$	$0.084119$	$-4096/28875$	$0.93381$	$2.98354$	$[0, 0, 1, -3, -221]$	\(y^2+y=x^3-3x-221\)	2310.2.0.?	$[]$
5775.ba1	5775q1	5775.ba	5775q	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 3 \cdot 5^{9} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$3456$	$0.339532$	$-4096/28875$	$0.93381$	$3.16144$	$[0, 1, 1, -8, 1019]$	\(y^2+y=x^3+x^2-8x+1019\)	2310.2.0.?	$[]$
8085.d1	8085o1	8085.d	8085o	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 3 \cdot 5^{3} \cdot 7^{7} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1.901388542$	$1$		$2$	$6912$	$0.507769$	$-4096/28875$	$0.93381$	$3.26759$	$[0, 1, 1, -16, -2810]$	\(y^2+y=x^3+x^2-16x-2810\)	2310.2.0.?	$[(37, 220)]$
12705.o1	12705f1	12705.o	12705f	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 3 \cdot 5^{3} \cdot 7 \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$2.653472482$	$1$		$0$	$17280$	$0.733761$	$-4096/28875$	$0.93381$	$3.39828$	$[0, -1, 1, -40, -10869]$	\(y^2+y=x^3-x^2-40x-10869\)	2310.2.0.?	$[(93/2, 117/2)]$
17325.e1	17325v1	17325.e	17325v	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 3^{7} \cdot 5^{9} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1.331428354$	$1$		$4$	$27648$	$0.888838$	$-4096/28875$	$0.93381$	$3.48096$	$[0, 0, 1, -75, -27594]$	\(y^2+y=x^3-75x-27594\)	2310.2.0.?	$[(35, 112)]$
18480.cr1	18480db1	18480.cr	18480db	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{12} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$2.501249657$	$1$		$2$	$5760$	$0.227960$	$-4096/28875$	$0.93381$	$2.65087$	$[0, 1, 0, -5, -525]$	\(y^2=x^3+x^2-5x-525\)	2310.2.0.?	$[(30, 165)]$
24255.ca1	24255by1	24255.ca	24255by	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 3^{7} \cdot 5^{3} \cdot 7^{7} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1.476651575$	$1$		$0$	$55296$	$1.057074$	$-4096/28875$	$0.93381$	$3.56491$	$[0, 0, 1, -147, 75717]$	\(y^2+y=x^3-147x+75717\)	2310.2.0.?	$[(-7/2, 2201/2)]$
38115.b1	38115o1	38115.b	38115o	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{3} \cdot 7 \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$0.294423136$	$1$		$8$	$138240$	$1.283068$	$-4096/28875$	$0.93381$	$3.66925$	$[0, 0, 1, -363, 293818]$	\(y^2+y=x^3-363x+293818\)	2310.2.0.?	$[(-11, 544)]$
40425.cz1	40425q1	40425.cz	40425q	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 3 \cdot 5^{9} \cdot 7^{7} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$165888$	$1.312487$	$-4096/28875$	$0.93381$	$3.68218$	$[0, -1, 1, -408, -350407]$	\(y^2+y=x^3-x^2-408x-350407\)	2310.2.0.?	$[]$
55440.k1	55440cu1	55440.k	55440cu	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$2.637664668$	$1$		$2$	$46080$	$0.777267$	$-4096/28875$	$0.93381$	$2.98771$	$[0, 0, 0, -48, 14128]$	\(y^2=x^3-48x+14128\)	2310.2.0.?	$[(17, 135)]$
63525.i1	63525bx1	63525.i	63525bx	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 3 \cdot 5^{9} \cdot 7 \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$414720$	$1.538479$	$-4096/28875$	$0.93381$	$3.77691$	$[0, 1, 1, -1008, -1360606]$	\(y^2+y=x^3+x^2-1008x-1360606\)	2310.2.0.?	$[]$
73920.m1	73920ea1	73920.m	73920ea	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$11520$	$-0.118613$	$-4096/28875$	$0.93381$	$1.95209$	$[0, -1, 0, -1, -65]$	\(y^2=x^3-x^2-x-65\)	2310.2.0.?	$[]$
73920.ge1	73920cw1	73920.ge	73920cw	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$11520$	$-0.118613$	$-4096/28875$	$0.93381$	$1.95209$	$[0, 1, 0, -1, 65]$	\(y^2=x^3+x^2-x+65\)	2310.2.0.?	$[]$
88935.ci1	88935bt1	88935.ci	88935bt	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 3 \cdot 5^{3} \cdot 7^{7} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$829440$	$1.706717$	$-4096/28875$	$0.93381$	$3.84255$	$[0, 1, 1, -1976, 3731921]$	\(y^2+y=x^3+x^2-1976x+3731921\)	2310.2.0.?	$[]$
92400.du1	92400el1	92400.du	92400el	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{12} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$138240$	$1.032679$	$-4096/28875$	$0.93381$	$3.12229$	$[0, -1, 0, -133, -65363]$	\(y^2=x^3-x^2-133x-65363\)	2310.2.0.?	$[]$
121275.u1	121275et1	121275.u	121275et	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 3^{7} \cdot 5^{9} \cdot 7^{7} \cdot 11 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$0.349540026$	$1$		$20$	$1327104$	$1.861794$	$-4096/28875$	$0.93381$	$3.89971$	$[0, 0, 1, -3675, 9464656]$	\(y^2+y=x^3-3675x+9464656\)	2310.2.0.?	$[(35, 3062), (280, 5512)]$
129360.bz1	129360eg1	129360.bz	129360eg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3 \cdot 5^{3} \cdot 7^{7} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$276480$	$1.200916$	$-4096/28875$	$0.93381$	$3.20456$	$[0, -1, 0, -261, 179565]$	\(y^2=x^3-x^2-261x+179565\)	2310.2.0.?	$[]$
190575.ez1	190575et1	190575.ez	190575et	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{9} \cdot 7 \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$3317760$	$2.087788$	$-4096/28875$	$0.93381$	$3.97779$	$[0, 0, 1, -9075, 36727281]$	\(y^2+y=x^3-9075x+36727281\)	2310.2.0.?	$[]$
195195.cc1	195195cf1	195195.cc	195195cf	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( - 3 \cdot 5^{3} \cdot 7 \cdot 11 \cdot 13^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$331776$	$0.817287$	$-4096/28875$	$0.93381$	$2.71843$	$[0, -1, 1, -56, 17981]$	\(y^2+y=x^3-x^2-56x+17981\)	2310.2.0.?	$[]$
203280.hg1	203280m1	203280.hg	203280m	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{12} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$691200$	$1.426908$	$-4096/28875$	$0.93381$	$3.30793$	$[0, 1, 0, -645, 696243]$	\(y^2=x^3+x^2-645x+696243\)	2310.2.0.?	$[]$
221760.jq1	221760cc1	221760.jq	221760cc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$0.565648449$	$1$		$2$	$92160$	$0.430693$	$-4096/28875$	$0.93381$	$2.31337$	$[0, 0, 0, -12, 1766]$	\(y^2=x^3-12x+1766\)	2310.2.0.?	$[(7, 45)]$
221760.ly1	221760iu1	221760.ly	221760iu	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$92160$	$0.430693$	$-4096/28875$	$0.93381$	$2.31337$	$[0, 0, 0, -12, -1766]$	\(y^2=x^3-12x-1766\)	2310.2.0.?	$[]$
266805.s1	266805s1	266805.s	266805s	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{3} \cdot 7^{7} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$0.378082575$	$1$		$6$	$6635520$	$2.256023$	$-4096/28875$	$0.93381$	$4.03225$	$[0, 0, 1, -17787, -100779660]$	\(y^2+y=x^3-17787x-100779660\)	2310.2.0.?	$[(2618, 133402)]$
277200.jo1	277200jo1	277200.jo	277200jo	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{9} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$1105920$	$1.581985$	$-4096/28875$	$0.93381$	$3.37456$	$[0, 0, 0, -1200, 1766000]$	\(y^2=x^3-1200x+1766000\)	2310.2.0.?	$[]$
333795.e1	333795e1	333795.e	333795e	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \)	\( - 3 \cdot 5^{3} \cdot 7 \cdot 11 \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$5.480042000$	$1$		$0$	$725760$	$0.951420$	$-4096/28875$	$0.93381$	$2.73031$	$[0, 1, 1, -96, 40136]$	\(y^2+y=x^3+x^2-96x+40136\)	2310.2.0.?	$[(-139/2, 413/2)]$
369600.ee1	369600ee1	369600.ee	369600ee	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$276480$	$0.686106$	$-4096/28875$	$0.93381$	$2.46027$	$[0, -1, 0, -33, 8187]$	\(y^2=x^3-x^2-33x+8187\)	2310.2.0.?	$[]$
369600.ry1	369600ry1	369600.ry	369600ry	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$276480$	$0.686106$	$-4096/28875$	$0.93381$	$2.46027$	$[0, 1, 0, -33, -8187]$	\(y^2=x^3+x^2-33x-8187\)	2310.2.0.?	$[]$
388080.kc1	388080kc1	388080.kc	388080kc	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{3} \cdot 7^{7} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$0.944425296$	$1$		$2$	$2211840$	$1.750221$	$-4096/28875$	$0.93381$	$3.44320$	$[0, 0, 0, -2352, -4845904]$	\(y^2=x^3-2352x-4845904\)	2310.2.0.?	$[(217, 2205)]$
416955.cu1	416955cu1	416955.cu	416955cu	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \)	\( - 3 \cdot 5^{3} \cdot 7 \cdot 11 \cdot 19^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$20.19475725$	$1$		$0$	$1034208$	$1.007032$	$-4096/28875$	$0.93381$	$2.73494$	$[0, 1, 1, -120, -56119]$	\(y^2+y=x^3+x^2-120x-56119\)	2310.2.0.?	$[(1000337405/5062, 1855484726281/5062)]$
444675.n1	444675n1	444675.n	444675n	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 3 \cdot 5^{9} \cdot 7^{7} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$3.175070192$	$1$		$2$	$19906560$	$2.511436$	$-4096/28875$	$0.93381$	$4.10954$	$[0, -1, 1, -49408, 466588968]$	\(y^2+y=x^3-x^2-49408x+466588968\)	2310.2.0.?	$[(8727, 815237)]$