Elliptic curve search results

Results (16 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
4884.a2	4884c1	4884.a	4884c	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{10} \cdot 11^{4} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1.760997246$	$1$		$3$	$5760$	$1.094772$	$6532108386304000/31987847133$	$1.30184$	$4.61377$	$[0, -1, 0, -9813, 375858]$	\(y^2=x^3-x^2-9813x+375858\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[(62, 44)]$
14652.d2	14652c1	14652.d	14652c	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{16} \cdot 11^{4} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$3.005574245$	$1$		$3$	$46080$	$1.644079$	$6532108386304000/31987847133$	$1.30184$	$4.77254$	$[0, 0, 0, -88320, -10059847]$	\(y^2=x^3-88320x-10059847\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[(-164, 117)]$
19536.x2	19536z1	19536.x	19536z	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{10} \cdot 11^{4} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$2.546143553$	$1$		$1$	$23040$	$1.094772$	$6532108386304000/31987847133$	$1.30184$	$3.96640$	$[0, 1, 0, -9813, -375858]$	\(y^2=x^3+x^2-9813x-375858\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[(-219/2, 135/2)]$
53724.b2	53724b1	53724.b	53724b	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{10} \cdot 11^{10} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$5.461611948$	$1$		$3$	$691200$	$2.293720$	$6532108386304000/31987847133$	$1.30184$	$4.91896$	$[0, -1, 0, -1187413, -495517394]$	\(y^2=x^3-x^2-1187413x-495517394\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[(1962, 68728)]$
58608.v2	58608bi1	58608.v	58608bi	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{16} \cdot 11^{4} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.644079$	$6532108386304000/31987847133$	$1.30184$	$4.16990$	$[0, 0, 0, -88320, 10059847]$	\(y^2=x^3-88320x+10059847\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[]$
78144.bb2	78144ck1	78144.bb	78144ck	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{10} \cdot 11^{4} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.441345$	$6532108386304000/31987847133$	$1.30184$	$3.84749$	$[0, -1, 0, -39253, -2967611]$	\(y^2=x^3-x^2-39253x-2967611\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[]$
78144.ci2	78144be1	78144.ci	78144be	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{10} \cdot 11^{4} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1.084696526$	$1$		$5$	$184320$	$1.441345$	$6532108386304000/31987847133$	$1.30184$	$3.84749$	$[0, 1, 0, -39253, 2967611]$	\(y^2=x^3+x^2-39253x+2967611\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[(95, 324)]$
122100.ba2	122100x1	122100.ba	122100x	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 11^{4} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$0.369099023$	$1$		$11$	$829440$	$1.899490$	$6532108386304000/31987847133$	$1.30184$	$4.17027$	$[0, 1, 0, -245333, 46491588]$	\(y^2=x^3+x^2-245333x+46491588\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[(319, 891)]$
161172.r2	161172l1	161172.r	161172l	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{16} \cdot 11^{10} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$1$		$1$	$5529600$	$2.843025$	$6532108386304000/31987847133$	$1.30184$	$5.01801$	$[0, 0, 0, -10686720, 13389656357]$	\(y^2=x^3-10686720x+13389656357\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[]$
180708.g2	180708i1	180708.g	180708i	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \cdot 37^{2} \)	\( 2^{4} \cdot 3^{10} \cdot 11^{4} \cdot 37^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$3.397134398$	$1$		$5$	$7879680$	$2.900230$	$6532108386304000/31987847133$	$1.30184$	$5.02730$	$[0, -1, 0, -13434453, 18877123710]$	\(y^2=x^3-x^2-13434453x+18877123710\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[(-1557, 189783)]$
214896.ca2	214896f1	214896.ca	214896f	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{10} \cdot 11^{10} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$1$		$1$	$2764800$	$2.293720$	$6532108386304000/31987847133$	$1.30184$	$4.36357$	$[0, 1, 0, -1187413, 495517394]$	\(y^2=x^3+x^2-1187413x+495517394\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[]$
234432.cg2	234432cg1	234432.cg	234432cg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{16} \cdot 11^{4} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.990652$	$6532108386304000/31987847133$	$1.30184$	$4.03874$	$[0, 0, 0, -353280, 80478776]$	\(y^2=x^3-353280x+80478776\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[]$
234432.cl2	234432cl1	234432.cl	234432cl	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{16} \cdot 11^{4} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.990652$	$6532108386304000/31987847133$	$1.30184$	$4.03874$	$[0, 0, 0, -353280, -80478776]$	\(y^2=x^3-353280x-80478776\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[]$
239316.t2	239316t1	239316.t	239316t	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{10} \cdot 7^{6} \cdot 11^{4} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1.310177525$	$1$		$5$	$2211840$	$2.067726$	$6532108386304000/31987847133$	$1.30184$	$4.10669$	$[0, 1, 0, -480853, -127957600]$	\(y^2=x^3+x^2-480853x-127957600\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[(-388, 594)]$
366300.y2	366300y1	366300.y	366300y	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{16} \cdot 5^{6} \cdot 11^{4} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$1$		$1$	$6635520$	$2.448799$	$6532108386304000/31987847133$	$1.30184$	$4.32718$	$[0, 0, 0, -2208000, -1257480875]$	\(y^2=x^3-2208000x-1257480875\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[]$
488400.bs2	488400bs1	488400.bs	488400bs	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 11^{4} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$12.69783009$	$1$		$1$	$3317760$	$1.899490$	$6532108386304000/31987847133$	$1.30184$	$3.72892$	$[0, -1, 0, -245333, -46491588]$	\(y^2=x^3-x^2-245333x-46491588\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[(-6467912/149, 1364942194/149)]$