Elliptic curve search results

Results (29 matches)

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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	Manin constant
814.b1	814b1	814.b	814b	$1$	$1$	\( 2 \cdot 11 \cdot 37 \)	\( - 2^{5} \cdot 11 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$3256$	$2$	$0$	$0.142124542$	$1$		$6$	$80$	$-0.367416$	$-2347334289/13024$	$0.90132$	$3.22086$	$[1, -1, 1, -28, 63]$	\(y^2+xy+y=x^3-x^2-28x+63\)	3256.2.0.?	$[(3, -1)]$	$1$
6512.c1	6512d1	6512.c	6512d	$1$	$1$	\( 2^{4} \cdot 11 \cdot 37 \)	\( - 2^{17} \cdot 11 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$1$		$0$	$1920$	$0.325731$	$-2347334289/13024$	$0.90132$	$3.40536$	$[0, 0, 0, -443, -3606]$	\(y^2=x^3-443x-3606\)	3256.2.0.?	$[ ]$	$1$
7326.c1	7326e1	7326.c	7326e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{5} \cdot 3^{6} \cdot 11 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$1$		$0$	$2560$	$0.181890$	$-2347334289/13024$	$0.90132$	$3.16633$	$[1, -1, 0, -249, -1459]$	\(y^2+xy=x^3-x^2-249x-1459\)	3256.2.0.?	$[ ]$	$1$
8954.c1	8954c1	8954.c	8954c	$1$	$1$	\( 2 \cdot 11^{2} \cdot 37 \)	\( - 2^{5} \cdot 11^{7} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$5.194062070$	$1$		$2$	$9600$	$0.831532$	$-2347334289/13024$	$0.90132$	$3.95319$	$[1, -1, 0, -3350, -74156]$	\(y^2+xy=x^3-x^2-3350x-74156\)	3256.2.0.?	$[(147, 1537)]$	$1$
20350.f1	20350b1	20350.f	20350b	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( - 2^{5} \cdot 5^{6} \cdot 11 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$2.196307257$	$1$		$2$	$11200$	$0.437303$	$-2347334289/13024$	$0.90132$	$3.14920$	$[1, -1, 0, -692, 7216]$	\(y^2+xy=x^3-x^2-692x+7216\)	3256.2.0.?	$[(15, -1)]$	$1$
26048.f1	26048c1	26048.f	26048c	$1$	$1$	\( 2^{6} \cdot 11 \cdot 37 \)	\( - 2^{23} \cdot 11 \cdot 37 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1.324239017$	$1$		$10$	$15360$	$0.672304$	$-2347334289/13024$	$0.90132$	$3.35009$	$[0, 0, 0, -1772, 28848]$	\(y^2=x^3-1772x+28848\)	3256.2.0.?	$[(38, 128), (294, 4992)]$	$1$
26048.g1	26048e1	26048.g	26048e	$1$	$1$	\( 2^{6} \cdot 11 \cdot 37 \)	\( - 2^{23} \cdot 11 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$1$		$0$	$15360$	$0.672304$	$-2347334289/13024$	$0.90132$	$3.35009$	$[0, 0, 0, -1772, -28848]$	\(y^2=x^3-1772x-28848\)	3256.2.0.?	$[ ]$	$1$
30118.a1	30118b1	30118.a	30118b	$1$	$1$	\( 2 \cdot 11 \cdot 37^{2} \)	\( - 2^{5} \cdot 11 \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$2.216414962$	$1$		$0$	$109440$	$1.438042$	$-2347334289/13024$	$0.90132$	$4.19394$	$[1, -1, 0, -37904, 2863456]$	\(y^2+xy=x^3-x^2-37904x+2863456\)	3256.2.0.?	$[(519/2, 2219/2)]$	$1$
39886.p1	39886o1	39886.p	39886o	$1$	$1$	\( 2 \cdot 7^{2} \cdot 11 \cdot 37 \)	\( - 2^{5} \cdot 7^{6} \cdot 11 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$1$		$0$	$23040$	$0.605538$	$-2347334289/13024$	$0.90132$	$3.13972$	$[1, -1, 1, -1357, -18987]$	\(y^2+xy+y=x^3-x^2-1357x-18987\)	3256.2.0.?	$[ ]$	$1$
58608.bf1	58608bg1	58608.bf	58608bg	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{17} \cdot 3^{6} \cdot 11 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$1$		$0$	$61440$	$0.875037$	$-2347334289/13024$	$0.90132$	$3.32423$	$[0, 0, 0, -3987, 97362]$	\(y^2=x^3-3987x+97362\)	3256.2.0.?	$[ ]$	$1$
71632.h1	71632l1	71632.h	71632l	$1$	$1$	\( 2^{4} \cdot 11^{2} \cdot 37 \)	\( - 2^{17} \cdot 11^{7} \cdot 37 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1.722429536$	$1$		$10$	$230400$	$1.524679$	$-2347334289/13024$	$0.90132$	$3.96190$	$[0, 0, 0, -53603, 4799586]$	\(y^2=x^3-53603x+4799586\)	3256.2.0.?	$[(143, 242), (231, 2178)]$	$1$
80586.bd1	80586bj1	80586.bd	80586bj	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{5} \cdot 3^{6} \cdot 11^{7} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$0.445444317$	$1$		$4$	$307200$	$1.380836$	$-2347334289/13024$	$0.90132$	$3.76780$	$[1, -1, 1, -30152, 2032363]$	\(y^2+xy+y=x^3-x^2-30152x+2032363\)	3256.2.0.?	$[(113, 185)]$	$1$
137566.i1	137566p1	137566.i	137566p	$1$	$1$	\( 2 \cdot 11 \cdot 13^{2} \cdot 37 \)	\( - 2^{5} \cdot 11 \cdot 13^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$1$		$0$	$172800$	$0.915058$	$-2347334289/13024$	$0.90132$	$3.12510$	$[1, -1, 0, -4679, 124957]$	\(y^2+xy=x^3-x^2-4679x+124957\)	3256.2.0.?	$[ ]$	$1$
162800.bb1	162800y1	162800.bb	162800y	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 37 \)	\( - 2^{17} \cdot 5^{6} \cdot 11 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$11.73739536$	$1$		$2$	$268800$	$1.130449$	$-2347334289/13024$	$0.90132$	$3.29663$	$[0, 0, 0, -11075, -450750]$	\(y^2=x^3-11075x-450750\)	3256.2.0.?	$[(250271, 125203294)]$	$1$
183150.fn1	183150bv1	183150.fn	183150bv	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \)	\( - 2^{5} \cdot 3^{6} \cdot 5^{6} \cdot 11 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$1$		$0$	$358400$	$0.986609$	$-2347334289/13024$	$0.90132$	$3.12215$	$[1, -1, 1, -6230, -188603]$	\(y^2+xy+y=x^3-x^2-6230x-188603\)	3256.2.0.?	$[ ]$	$1$
223850.cs1	223850w1	223850.cs	223850w	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{5} \cdot 5^{6} \cdot 11^{7} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$5.683834233$	$1$		$2$	$1344000$	$1.636250$	$-2347334289/13024$	$0.90132$	$3.70412$	$[1, -1, 1, -83755, -9353253]$	\(y^2+xy+y=x^3-x^2-83755x-9353253\)	3256.2.0.?	$[(345, 1478)]$	$1$
234432.bm1	234432bm1	234432.bm	234432bm	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{23} \cdot 3^{6} \cdot 11 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$1$		$0$	$491520$	$1.221611$	$-2347334289/13024$	$0.90132$	$3.28788$	$[0, 0, 0, -15948, -778896]$	\(y^2=x^3-15948x-778896\)	3256.2.0.?	$[ ]$	$1$
234432.bp1	234432bp1	234432.bp	234432bp	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{23} \cdot 3^{6} \cdot 11 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$1$		$0$	$491520$	$1.221611$	$-2347334289/13024$	$0.90132$	$3.28788$	$[0, 0, 0, -15948, 778896]$	\(y^2=x^3-15948x+778896\)	3256.2.0.?	$[ ]$	$1$
235246.i1	235246i1	235246.i	235246i	$1$	$1$	\( 2 \cdot 11 \cdot 17^{2} \cdot 37 \)	\( - 2^{5} \cdot 11 \cdot 17^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$3.291140522$	$1$		$2$	$352000$	$1.049191$	$-2347334289/13024$	$0.90132$	$3.11968$	$[1, -1, 1, -8002, 278817]$	\(y^2+xy+y=x^3-x^2-8002x+278817\)	3256.2.0.?	$[(21, 335)]$	$1$
240944.h1	240944h1	240944.h	240944h	$1$	$1$	\( 2^{4} \cdot 11 \cdot 37^{2} \)	\( - 2^{17} \cdot 11 \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$26.91179742$	$1$		$0$	$2626560$	$2.131191$	$-2347334289/13024$	$0.90132$	$4.16140$	$[0, 0, 0, -606467, -182654718]$	\(y^2=x^3-606467x-182654718\)	3256.2.0.?	$[(24838258819799/157813, 56203763695068624218/157813)]$	$1$
271062.v1	271062v1	271062.v	271062v	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \)	\( - 2^{5} \cdot 3^{6} \cdot 11 \cdot 37^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$1$		$0$	$3502080$	$1.987349$	$-2347334289/13024$	$0.90132$	$3.98424$	$[1, -1, 1, -341138, -76972175]$	\(y^2+xy+y=x^3-x^2-341138x-76972175\)	3256.2.0.?	$[ ]$	$1$
286528.bf1	286528bf1	286528.bf	286528bf	$1$	$1$	\( 2^{6} \cdot 11^{2} \cdot 37 \)	\( - 2^{23} \cdot 11^{7} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$4.597152389$	$1$		$2$	$1843200$	$1.871252$	$-2347334289/13024$	$0.90132$	$3.85578$	$[0, 0, 0, -214412, 38396688]$	\(y^2=x^3-214412x+38396688\)	3256.2.0.?	$[(224, 1268)]$	$1$
286528.bg1	286528bg1	286528.bg	286528bg	$1$	$1$	\( 2^{6} \cdot 11^{2} \cdot 37 \)	\( - 2^{23} \cdot 11^{7} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$4$	$2$	$0$	$1843200$	$1.871252$	$-2347334289/13024$	$0.90132$	$3.85578$	$[0, 0, 0, -214412, -38396688]$	\(y^2=x^3-214412x-38396688\)	3256.2.0.?	$[ ]$	$1$
293854.c1	293854c1	293854.c	293854c	$1$	$1$	\( 2 \cdot 11 \cdot 19^{2} \cdot 37 \)	\( - 2^{5} \cdot 11 \cdot 19^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$1$		$0$	$552960$	$1.104803$	$-2347334289/13024$	$0.90132$	$3.11756$	$[1, -1, 0, -9995, -383963]$	\(y^2+xy=x^3-x^2-9995x-383963\)	3256.2.0.?	$[ ]$	$1$
319088.x1	319088x1	319088.x	319088x	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 11 \cdot 37 \)	\( - 2^{17} \cdot 7^{6} \cdot 11 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1.103238072$	$1$		$4$	$552960$	$1.298685$	$-2347334289/13024$	$0.90132$	$3.28088$	$[0, 0, 0, -21707, 1236858]$	\(y^2=x^3-21707x+1236858\)	3256.2.0.?	$[(-91, 1568)]$	$1$
331298.t1	331298t1	331298.t	331298t	$1$	$1$	\( 2 \cdot 11^{2} \cdot 37^{2} \)	\( - 2^{5} \cdot 11^{7} \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$15.29056596$	$1$		$0$	$13132800$	$2.636990$	$-2347334289/13024$	$0.90132$	$4.53465$	$[1, -1, 1, -4586407, -3797500737]$	\(y^2+xy+y=x^3-x^2-4586407x-3797500737\)	3256.2.0.?	$[(355212399/115, 6652224027938/115)]$	$1$
358974.ba1	358974ba1	358974.ba	358974ba	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 37 \)	\( - 2^{5} \cdot 3^{6} \cdot 7^{6} \cdot 11 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$0.968766184$	$1$		$4$	$737280$	$1.154844$	$-2347334289/13024$	$0.90132$	$3.11572$	$[1, -1, 0, -12210, 524852]$	\(y^2+xy=x^3-x^2-12210x+524852\)	3256.2.0.?	$[(79, 181)]$	$1$
430606.l1	430606l1	430606.l	430606l	$1$	$1$	\( 2 \cdot 11 \cdot 23^{2} \cdot 37 \)	\( - 2^{5} \cdot 11 \cdot 23^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$4$	$2$	$0$	$1006720$	$1.200331$	$-2347334289/13024$	$0.90132$	$3.11410$	$[1, -1, 1, -14647, -681873]$	\(y^2+xy+y=x^3-x^2-14647x-681873\)	3256.2.0.?	$[ ]$	$1$
438746.k1	438746k1	438746.k	438746k	$1$	$1$	\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{5} \cdot 7^{6} \cdot 11^{7} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$1$		$0$	$2764800$	$1.804485$	$-2347334289/13024$	$0.90132$	$3.66765$	$[1, -1, 0, -164159, 25763821]$	\(y^2+xy=x^3-x^2-164159x+25763821\)	3256.2.0.?	$[ ]$	$1$

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