Elliptic curves over $\Q$ of conductor 3025

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (15 matches)

  Download displayed columns for results to

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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
3025.a1	3025g3	3025.a	3025g	$3$	$25$	\( 5^{2} \cdot 11^{2} \)	\( - 5^{6} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	25.60.0.2	5B.4.2	$550$	$1200$	$37$	$1$	$1$		$0$	$84000$	$2.500374$	$-52893159101157376/11$	$1.09296$	$7.80457$	$1$	$[0, 1, 1, -23656508, 44278891894]$	\(y^2+y=x^3+x^2-23656508x+44278891894\)	5.12.0.a.2, 10.24.0-5.a.2.1, 22.2.0.a.1, 25.60.0.a.2, 50.120.0-25.a.2.1, $\ldots$	$[ ]$	$1$
3025.a2	3025g2	3025.a	3025g	$3$	$25$	\( 5^{2} \cdot 11^{2} \)	\( - 5^{6} \cdot 11^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.60.0.1	5Cs.4.1	$550$	$1200$	$37$	$1$	$1$		$0$	$16800$	$1.695656$	$-122023936/161051$	$1.01300$	$5.47144$	$1$	$[0, 1, 1, -31258, 3842394]$	\(y^2+y=x^3+x^2-31258x+3842394\)	5.60.0.a.1, 10.120.0-5.a.1.2, 22.2.0.a.1, 55.120.0-5.a.1.2, 110.240.5.?, $\ldots$	$[ ]$	$1$
3025.a3	3025g1	3025.a	3025g	$3$	$25$	\( 5^{2} \cdot 11^{2} \)	\( - 5^{6} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	25.60.0.1	5B.4.1	$550$	$1200$	$37$	$1$	$1$		$0$	$3360$	$0.890938$	$-4096/11$	$0.82546$	$4.25367$	$1$	$[0, 1, 1, -1008, -29606]$	\(y^2+y=x^3+x^2-1008x-29606\)	5.12.0.a.1, 10.24.0-5.a.1.2, 22.2.0.a.1, 25.60.0.a.1, 50.120.0-25.a.1.2, $\ldots$	$[ ]$	$1$
3025.b1	3025e2	3025.b	3025e	$2$	$11$	\( 5^{2} \cdot 11^{2} \)	\( - 5^{6} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 11$	4.2.0.1, 11.60.1.3	11B.10.5	$440$	$480$	$16$	$1$	$1$		$0$	$9240$	$1.485706$	$-24729001$	$0.96853$	$5.72243$	$1$	$[1, 0, 0, -90813, 10526242]$	\(y^2+xy=x^3-90813x+10526242\)	4.2.0.a.1, 11.60.1.b.2, 40.4.0-4.a.1.1, 44.120.6.b.2, 55.120.1-11.b.2.1, $\ldots$	$[ ]$	$1$
3025.b2	3025e1	3025.b	3025e	$2$	$11$	\( 5^{2} \cdot 11^{2} \)	\( - 5^{6} \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 11$	4.2.0.1, 11.60.1.4	11B.10.4	$440$	$480$	$16$	$1$	$1$		$0$	$840$	$0.286758$	$-121$	$0.94611$	$3.34020$	$1$	$[1, 0, 0, -63, -758]$	\(y^2+xy=x^3-63x-758\)	4.2.0.a.1, 11.60.1.b.1, 40.4.0-4.a.1.1, 44.120.6.b.1, 55.120.1-11.b.1.1, $\ldots$	$[ ]$	$1$
3025.c1	3025f1	3025.c	3025f	$1$	$1$	\( 5^{2} \cdot 11^{2} \)	\( - 5^{11} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$31680$	$1.762829$	$-1459161/3125$	$0.94232$	$5.56241$	$1$	$[1, -1, 1, -35355, -5538728]$	\(y^2+xy+y=x^3-x^2-35355x-5538728\)	20.2.0.a.1	$[ ]$	$1$
3025.d1	3025a2	3025.d	3025a	$2$	$11$	\( 5^{2} \cdot 11^{2} \)	\( - 5^{6} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$8.291560481$	$1$		$2$	$4752$	$1.380594$	$-32768$	$1.02512$	$5.20125$	$1$	$[0, 1, 1, -22183, -1312206]$	\(y^2+y=x^3+x^2-22183x-1312206\)		$[(145482, 55490055)]$	$1$
3025.d2	3025a1	3025.d	3025a	$2$	$11$	\( 5^{2} \cdot 11^{2} \)	\( - 5^{6} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-11})$	$-11$	$N(\mathrm{U}(1))$		✓							$0.753778225$	$1$		$4$	$432$	$0.181646$	$-32768$	$1.02512$	$3.40612$	$1$	$[0, 1, 1, -183, 919]$	\(y^2+y=x^3+x^2-183x+919\)		$[(7, 5)]$	$1$
3025.e1	3025c2	3025.e	3025c	$2$	$11$	\( 5^{2} \cdot 11^{2} \)	\( - 5^{6} \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 11$	4.2.0.1, 11.60.1.4	11B.10.4	$440$	$480$	$16$	$1$	$1$		$0$	$9240$	$1.485706$	$-121$	$0.94611$	$5.13533$	$1$	$[1, 0, 1, -7626, 1001273]$	\(y^2+xy+y=x^3-7626x+1001273\)	4.2.0.a.1, 11.60.1.b.1, 44.120.6.b.1, 55.120.1-11.b.1.2, 88.240.16.?, $\ldots$	$[ ]$	$1$
3025.e2	3025c1	3025.e	3025c	$2$	$11$	\( 5^{2} \cdot 11^{2} \)	\( - 5^{6} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 11$	4.2.0.1, 11.60.1.3	11B.10.5	$440$	$480$	$16$	$1$	$1$		$0$	$840$	$0.286758$	$-24729001$	$0.96853$	$3.92730$	$1$	$[1, 0, 1, -751, -7977]$	\(y^2+xy+y=x^3-751x-7977\)	4.2.0.a.1, 11.60.1.b.2, 44.120.6.b.2, 55.120.1-11.b.2.2, 88.240.16.?, $\ldots$	$[ ]$	$1$
3025.f1	3025b3	3025.f	3025b	$4$	$4$	\( 5^{2} \cdot 11^{2} \)	\( 5^{10} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.14	2B	$440$	$48$	$0$	$1$	$4$	$2$	$0$	$11520$	$1.718000$	$22930509321/6875$	$1.07717$	$5.97651$	$2$	$[1, -1, 0, -179042, -29107259]$	\(y^2+xy=x^3-x^2-179042x-29107259\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 20.12.0-4.c.1.1, 40.24.0-40.z.1.15, $\ldots$	$[ ]$	$1$
3025.f2	3025b4	3025.f	3025b	$4$	$4$	\( 5^{2} \cdot 11^{2} \)	\( 5^{7} \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.14	2B	$440$	$48$	$0$	$1$	$1$		$0$	$11520$	$1.718000$	$2749884201/73205$	$0.94591$	$5.71188$	$2$	$[1, -1, 0, -88292, 9884991]$	\(y^2+xy=x^3-x^2-88292x+9884991\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[ ]$	$1$
3025.f3	3025b2	3025.f	3025b	$4$	$4$	\( 5^{2} \cdot 11^{2} \)	\( 5^{8} \cdot 11^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.2	2Cs	$220$	$48$	$0$	$1$	$4$	$2$	$2$	$5760$	$1.371428$	$8120601/3025$	$1.05560$	$4.98510$	$1$	$[1, -1, 0, -12667, -324384]$	\(y^2+xy=x^3-x^2-12667x-324384\)	2.6.0.a.1, 4.12.0-2.a.1.2, 20.24.0-20.b.1.4, 44.24.0-44.a.1.4, 220.48.0.?	$[ ]$	$1$
3025.f4	3025b1	3025.f	3025b	$4$	$4$	\( 5^{2} \cdot 11^{2} \)	\( - 5^{7} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.14	2B	$440$	$48$	$0$	$1$	$1$		$1$	$2880$	$1.024855$	$59319/55$	$0.79207$	$4.37132$	$2$	$[1, -1, 0, 2458, -37009]$	\(y^2+xy=x^3-x^2+2458x-37009\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 20.12.0-4.c.1.2, 40.24.0-40.z.1.7, $\ldots$	$[ ]$	$1$
3025.g1	3025d1	3025.g	3025d	$1$	$1$	\( 5^{2} \cdot 11^{2} \)	\( - 5^{11} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$2880$	$0.563881$	$-1459161/3125$	$0.94232$	$3.76728$	$1$	$[1, -1, 0, -292, 4241]$	\(y^2+xy=x^3-x^2-292x+4241\)	20.2.0.a.1	$[ ]$	$1$

  Download displayed columns for results to