Elliptic curve search results

Results (22 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
2210.c1	2210d1	2210.c	2210d	$2$	$2$	\( 2 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{16} \cdot 5 \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.22	2B	$8840$	$48$	$0$	$0.282190039$	$1$		$9$	$1024$	$0.443109$	$3169397364769/1231093760$	$0.95047$	$3.73789$	$[1, 0, 0, -306, 1156]$	\(y^2+xy=x^3-306x+1156\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 130.6.0.?, 260.12.0.?, $\ldots$	$[(0, 34)]$
11050.i1	11050f1	11050.i	11050f	$2$	$2$	\( 2 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{16} \cdot 5^{7} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$24576$	$1.247828$	$3169397364769/1231093760$	$0.95047$	$4.12894$	$[1, 1, 0, -7650, 144500]$	\(y^2+xy=x^3+x^2-7650x+144500\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.2, 104.12.0.?, 130.6.0.?, $\ldots$	$[]$
17680.k1	17680h1	17680.k	17680h	$2$	$2$	\( 2^{4} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{28} \cdot 5 \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$8840$	$48$	$0$	$5.510983120$	$1$		$1$	$24576$	$1.136255$	$3169397364769/1231093760$	$0.95047$	$3.79362$	$[0, -1, 0, -4896, -73984]$	\(y^2=x^3-x^2-4896x-73984\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 130.6.0.?, 260.12.0.?, $\ldots$	$[(697/3, 1972/3)]$
19890.p1	19890n1	19890.p	19890n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{16} \cdot 3^{6} \cdot 5 \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$2.831236171$	$1$		$5$	$24576$	$0.992414$	$3169397364769/1231093760$	$0.95047$	$3.57409$	$[1, -1, 0, -2754, -31212]$	\(y^2+xy=x^3-x^2-2754x-31212\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 130.6.0.?, 260.12.0.?, $\ldots$	$[(-21, 141)]$
28730.g1	28730p1	28730.g	28730p	$2$	$2$	\( 2 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{16} \cdot 5 \cdot 13^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1.654252781$	$1$		$7$	$172032$	$1.725582$	$3169397364769/1231093760$	$0.95047$	$4.30309$	$[1, 0, 1, -51718, 2591448]$	\(y^2+xy+y=x^3-51718x+2591448\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.4, 104.12.0.?, 130.6.0.?, $\ldots$	$[(222, 1325)]$
37570.r1	37570o1	37570.r	37570o	$2$	$2$	\( 2 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{16} \cdot 5 \cdot 13 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$4.887129130$	$1$		$3$	$294912$	$1.859715$	$3169397364769/1231093760$	$0.95047$	$4.34631$	$[1, 1, 1, -88440, 5767865]$	\(y^2+xy+y=x^3+x^2-88440x+5767865\)	2.3.0.a.1, 4.6.0.b.1, 130.6.0.?, 136.12.0.?, 260.12.0.?, $\ldots$	$[(-255, 3565)]$
70720.k1	70720bo1	70720.k	70720bo	$2$	$2$	\( 2^{6} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{34} \cdot 5 \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$8840$	$48$	$0$	$5.917444435$	$1$		$1$	$196608$	$1.482830$	$3169397364769/1231093760$	$0.95047$	$3.69509$	$[0, 1, 0, -19585, -611457]$	\(y^2=x^3+x^2-19585x-611457\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 130.6.0.?, 260.12.0.?, $\ldots$	$[(1237/2, 38369/2)]$
70720.bm1	70720r1	70720.bm	70720r	$2$	$2$	\( 2^{6} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{34} \cdot 5 \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$8840$	$48$	$0$	$1$	$4$	$2$	$1$	$196608$	$1.482830$	$3169397364769/1231093760$	$0.95047$	$3.69509$	$[0, -1, 0, -19585, 611457]$	\(y^2=x^3-x^2-19585x+611457\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 130.6.0.?, 260.12.0.?, $\ldots$	$[]$
88400.i1	88400bl1	88400.i	88400bl	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{28} \cdot 5^{7} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1.732884970$	$1$		$3$	$589824$	$1.940975$	$3169397364769/1231093760$	$0.95047$	$4.10540$	$[0, 1, 0, -122408, -9492812]$	\(y^2=x^3+x^2-122408x-9492812\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.2, 104.12.0.?, 130.6.0.?, $\ldots$	$[(-172, 2550)]$
99450.ct1	99450dg1	99450.ct	99450dg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{16} \cdot 3^{6} \cdot 5^{7} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1.057851746$	$1$		$7$	$589824$	$1.797134$	$3169397364769/1231093760$	$0.95047$	$3.91338$	$[1, -1, 1, -68855, -3970353]$	\(y^2+xy+y=x^3-x^2-68855x-3970353\)	2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 130.6.0.?, 260.12.0.?, $\ldots$	$[(339, 3230)]$
108290.bo1	108290bo1	108290.bo	108290bo	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 2^{16} \cdot 5 \cdot 7^{6} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$61880$	$48$	$0$	$1.239467411$	$1$		$3$	$393216$	$1.416063$	$3169397364769/1231093760$	$0.95047$	$3.49017$	$[1, 1, 1, -14995, -411503]$	\(y^2+xy+y=x^3+x^2-14995x-411503\)	2.3.0.a.1, 4.6.0.b.1, 56.12.0-4.b.1.2, 130.6.0.?, 260.12.0.?, $\ldots$	$[(475, 9758)]$
143650.by1	143650y1	143650.by	143650y	$2$	$2$	\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{16} \cdot 5^{7} \cdot 13^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.24	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$4128768$	$2.530300$	$3169397364769/1231093760$	$0.95047$	$4.53308$	$[1, 1, 1, -1292938, 323931031]$	\(y^2+xy+y=x^3+x^2-1292938x+323931031\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 130.6.0.?, 260.12.0.?, $\ldots$	$[]$
159120.dq1	159120r1	159120.dq	159120r	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{28} \cdot 3^{6} \cdot 5 \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$589824$	$1.685562$	$3169397364769/1231093760$	$0.95047$	$3.64803$	$[0, 0, 0, -44067, 2041634]$	\(y^2=x^3-44067x+2041634\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 130.6.0.?, 260.12.0.?, $\ldots$	$[]$
187850.d1	187850w1	187850.d	187850w	$2$	$2$	\( 2 \cdot 5^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{16} \cdot 5^{7} \cdot 13 \cdot 17^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$21.31176553$	$1$		$9$	$7077888$	$2.664433$	$3169397364769/1231093760$	$0.95047$	$4.56548$	$[1, 0, 1, -2211001, 725405148]$	\(y^2+xy+y=x^3-2211001x+725405148\)	2.3.0.a.1, 4.6.0.b.1, 130.6.0.?, 260.12.0.?, 520.24.0.?, $\ldots$	$[(91, 22866), (25947, 4159826)]$
229840.bw1	229840x1	229840.bw	229840x	$2$	$2$	\( 2^{4} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{28} \cdot 5 \cdot 13^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1$	$4$	$2$	$1$	$4128768$	$2.418732$	$3169397364769/1231093760$	$0.95047$	$4.25204$	$[0, -1, 0, -827480, -165852688]$	\(y^2=x^3-x^2-827480x-165852688\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.4, 104.12.0.?, 130.6.0.?, $\ldots$	$[]$
258570.dq1	258570dq1	258570.dq	258570dq	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{16} \cdot 3^{6} \cdot 5 \cdot 13^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1.035786320$	$1$		$9$	$4128768$	$2.274891$	$3169397364769/1231093760$	$0.95047$	$4.07336$	$[1, -1, 1, -465458, -69969103]$	\(y^2+xy+y=x^3-x^2-465458x-69969103\)	2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 130.6.0.?, 260.12.0.?, $\ldots$	$[(777, 5695)]$
267410.e1	267410e1	267410.e	267410e	$2$	$2$	\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \cdot 17 \)	\( 2^{16} \cdot 5 \cdot 11^{6} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$97240$	$48$	$0$	$2.966223902$	$1$		$7$	$1433600$	$1.642056$	$3169397364769/1231093760$	$0.95047$	$3.45471$	$[1, 0, 1, -37029, -1575664]$	\(y^2+xy+y=x^3-37029x-1575664\)	2.3.0.a.1, 4.6.0.b.1, 88.12.0.?, 130.6.0.?, 260.12.0.?, $\ldots$	$[(211, 22)]$
300560.j1	300560j1	300560.j	300560j	$2$	$2$	\( 2^{4} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{28} \cdot 5 \cdot 13 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$20.29150690$	$1$		$1$	$7077888$	$2.552864$	$3169397364769/1231093760$	$0.95047$	$4.28922$	$[0, 1, 0, -1415040, -371973452]$	\(y^2=x^3+x^2-1415040x-371973452\)	2.3.0.a.1, 4.6.0.b.1, 130.6.0.?, 136.12.0.?, 260.12.0.?, $\ldots$	$[(10535525267/893, 1076955975202364/893)]$
338130.r1	338130r1	338130.r	338130r	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{16} \cdot 3^{6} \cdot 5 \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$4$	$2$	$1$	$7077888$	$2.409019$	$3169397364769/1231093760$	$0.95047$	$4.11395$	$[1, -1, 0, -795960, -156528320]$	\(y^2+xy=x^3-x^2-795960x-156528320\)	2.3.0.a.1, 4.6.0.b.1, 130.6.0.?, 260.12.0.?, 408.12.0.?, $\ldots$	$[]$
353600.bd1	353600bd1	353600.bd	353600bd	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{34} \cdot 5^{7} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$5.040027094$	$1$		$3$	$4718592$	$2.287548$	$3169397364769/1231093760$	$0.95047$	$3.98545$	$[0, 1, 0, -489633, 75452863]$	\(y^2=x^3+x^2-489633x+75452863\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.3, 104.12.0.?, 130.6.0.?, $\ldots$	$[(-62, 10275)]$
353600.ey1	353600ey1	353600.ey	353600ey	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{34} \cdot 5^{7} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$4718592$	$2.287548$	$3169397364769/1231093760$	$0.95047$	$3.98545$	$[0, -1, 0, -489633, -75452863]$	\(y^2=x^3-x^2-489633x-75452863\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.3, 104.12.0.?, 130.6.0.?, $\ldots$	$[]$
488410.bf1	488410bf1	488410.bf	488410bf	$2$	$2$	\( 2 \cdot 5 \cdot 13^{2} \cdot 17^{2} \)	\( 2^{16} \cdot 5 \cdot 13^{7} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$24.59200838$	$1$		$1$	$49545216$	$3.142189$	$3169397364769/1231093760$	$0.95047$	$4.67012$	$[1, 1, 0, -14946363, 12746731613]$	\(y^2+xy=x^3+x^2-14946363x+12746731613\)	2.3.0.a.1, 4.6.0.b.1, 130.6.0.?, 260.12.0.?, 520.24.0.?, $\ldots$	$[(-432454211962/11521, 253171165157668157/11521)]$