Elliptic curves over $\Q$ of conductor 1450

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
1450.a1	1450b1	1450.a	1450b	$2$	$3$	\( 2 \cdot 5^{2} \cdot 29 \)	\( - 2^{9} \cdot 5^{2} \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.2.0.1, 3.4.0.1	3B	$120$	$16$	$0$	$0.417552848$	$1$		$4$	$648$	$0.257868$	$-340836570625/430592$	$0.99268$	$4.09045$	$1$	$[1, 1, 0, -425, 3205]$	\(y^2+xy=x^3+x^2-425x+3205\)	3.4.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.2, 24.8.0.a.1, 120.16.0.?	$[(9, 10)]$	$1$
1450.a2	1450b2	1450.a	1450b	$2$	$3$	\( 2 \cdot 5^{2} \cdot 29 \)	\( - 2^{3} \cdot 5^{2} \cdot 29^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.2.0.1, 3.4.0.1	3B	$120$	$16$	$0$	$1.252658546$	$1$		$4$	$1944$	$0.807174$	$838699829375/4758586568$	$1.04017$	$4.51268$	$1$	$[1, 1, 0, 575, 15965]$	\(y^2+xy=x^3+x^2+575x+15965\)	3.4.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.1, 24.8.0.a.1, 120.16.0.?	$[(529, 11930)]$	$1$
1450.b1	1450d1	1450.b	1450d	$1$	$1$	\( 2 \cdot 5^{2} \cdot 29 \)	\( - 2^{7} \cdot 5^{8} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$232$	$2$	$0$	$0.447925510$	$1$		$4$	$840$	$0.565414$	$-276531705/3712$	$0.89570$	$4.44221$	$1$	$[1, -1, 0, -992, 12416]$	\(y^2+xy=x^3-x^2-992x+12416\)	232.2.0.?	$[(19, 3)]$	$1$
1450.c1	1450a2	1450.c	1450a	$2$	$5$	\( 2 \cdot 5^{2} \cdot 29 \)	\( - 2^{2} \cdot 5^{6} \cdot 29^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.4	5B.1.3	$580$	$48$	$1$	$5.224618242$	$1$		$2$	$2800$	$1.151882$	$-10418796526321/82044596$	$0.99481$	$5.44622$	$1$	$[1, 0, 1, -11376, -471102]$	\(y^2+xy+y=x^3-11376x-471102\)	5.24.0-5.a.2.1, 116.2.0.?, 580.48.1.?	$[(201, 2217)]$	$1$
1450.c2	1450a1	1450.c	1450a	$2$	$5$	\( 2 \cdot 5^{2} \cdot 29 \)	\( - 2^{10} \cdot 5^{6} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.2	5B.1.4	$580$	$48$	$1$	$1.044923648$	$1$		$2$	$560$	$0.347164$	$13651919/29696$	$1.08166$	$3.72299$	$1$	$[1, 0, 1, 124, 898]$	\(y^2+xy+y=x^3+124x+898\)	5.24.0-5.a.1.1, 116.2.0.?, 580.48.1.?	$[(1, 31)]$	$1$
1450.d1	1450c2	1450.d	1450c	$2$	$3$	\( 2 \cdot 5^{2} \cdot 29 \)	\( - 2 \cdot 5^{10} \cdot 29^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3480$	$16$	$0$	$9.532864588$	$1$		$2$	$3240$	$1.032511$	$-2386099825/48778$	$0.91229$	$5.18208$	$1$	$[1, 1, 0, -5950, -182250]$	\(y^2+xy=x^3+x^2-5950x-182250\)	3.4.0.a.1, 15.8.0-3.a.1.1, 232.2.0.?, 696.8.0.?, 3480.16.0.?	$[(13761, 1607433)]$	$1$
1450.d2	1450c1	1450.d	1450c	$2$	$3$	\( 2 \cdot 5^{2} \cdot 29 \)	\( - 2^{3} \cdot 5^{10} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3480$	$16$	$0$	$3.177621529$	$1$		$2$	$1080$	$0.483205$	$304175/232$	$0.82470$	$3.94539$	$1$	$[1, 1, 0, 300, -1000]$	\(y^2+xy=x^3+x^2+300x-1000\)	3.4.0.a.1, 15.8.0-3.a.1.2, 232.2.0.?, 696.8.0.?, 3480.16.0.?	$[(11, 56)]$	$1$
1450.e1	1450i2	1450.e	1450i	$2$	$3$	\( 2 \cdot 5^{2} \cdot 29 \)	\( - 2 \cdot 5^{4} \cdot 29^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$696$	$16$	$0$	$4.905968173$	$1$		$0$	$648$	$0.227792$	$-2386099825/48778$	$0.91229$	$3.85550$	$1$	$[1, 0, 0, -238, -1458]$	\(y^2+xy=x^3-238x-1458\)	3.8.0-3.a.1.1, 232.2.0.?, 696.16.0.?	$[(99/2, 615/2)]$	$1$
1450.e2	1450i1	1450.e	1450i	$2$	$3$	\( 2 \cdot 5^{2} \cdot 29 \)	\( - 2^{3} \cdot 5^{4} \cdot 29 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$696$	$16$	$0$	$1.635322724$	$1$		$6$	$216$	$-0.321514$	$304175/232$	$0.82470$	$2.61880$	$1$	$[1, 0, 0, 12, -8]$	\(y^2+xy=x^3+12x-8\)	3.8.0-3.a.1.2, 232.2.0.?, 696.16.0.?	$[(6, 14)]$	$1$
1450.f1	1450g1	1450.f	1450g	$1$	$1$	\( 2 \cdot 5^{2} \cdot 29 \)	\( - 2^{7} \cdot 5^{2} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$232$	$2$	$0$	$0.155481278$	$1$		$8$	$168$	$-0.239304$	$-276531705/3712$	$0.89570$	$3.11563$	$1$	$[1, -1, 1, -40, 107]$	\(y^2+xy+y=x^3-x^2-40x+107\)	232.2.0.?	$[(5, 1)]$	$1$
1450.g1	1450e1	1450.g	1450e	$2$	$2$	\( 2 \cdot 5^{2} \cdot 29 \)	\( 2^{8} \cdot 5^{9} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$1160$	$48$	$0$	$1$	$1$		$1$	$1152$	$0.734091$	$38238692409/928000$	$0.97733$	$4.67403$	$2$	$[1, -1, 1, -1755, -27253]$	\(y^2+xy+y=x^3-x^2-1755x-27253\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.2, 232.12.0.?, 290.6.0.?, $\ldots$	$[ ]$	$1$
1450.g2	1450e2	1450.g	1450e	$2$	$2$	\( 2 \cdot 5^{2} \cdot 29 \)	\( - 2^{4} \cdot 5^{12} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1160$	$48$	$0$	$1$	$1$		$0$	$2304$	$1.080664$	$104487111/210250000$	$1.06799$	$4.98328$	$1$	$[1, -1, 1, 245, -87253]$	\(y^2+xy+y=x^3-x^2+245x-87253\)	2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 232.12.0.?, 580.12.0.?, $\ldots$	$[ ]$	$1$
1450.h1	1450h1	1450.h	1450h	$2$	$3$	\( 2 \cdot 5^{2} \cdot 29 \)	\( - 2^{9} \cdot 5^{8} \cdot 29^{2} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.2.0.1, 3.8.0.1	3B.1.1	$24$	$16$	$0$	$0.651575558$	$1$		$10$	$3240$	$1.062586$	$-340836570625/430592$	$0.99268$	$5.41704$	$1$	$[1, 0, 0, -10638, 421892]$	\(y^2+xy=x^3-10638x+421892\)	3.8.0-3.a.1.2, 8.2.0.a.1, 24.16.0-24.a.1.8	$[(76, 194)]$	$1$
1450.h2	1450h2	1450.h	1450h	$2$	$3$	\( 2 \cdot 5^{2} \cdot 29 \)	\( - 2^{3} \cdot 5^{8} \cdot 29^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.2.0.1, 3.8.0.2	3B.1.2	$24$	$16$	$0$	$1.954726676$	$1$		$0$	$9720$	$1.611893$	$838699829375/4758586568$	$1.04017$	$5.83926$	$1$	$[1, 0, 0, 14362, 1966892]$	\(y^2+xy=x^3+14362x+1966892\)	3.8.0-3.a.1.1, 8.2.0.a.1, 24.16.0-24.a.1.6	$[(-566/3, 25238/3)]$	$1$
1450.i1	1450f1	1450.i	1450f	$1$	$1$	\( 2 \cdot 5^{2} \cdot 29 \)	\( - 2^{2} \cdot 5^{6} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$116$	$2$	$0$	$1$	$1$		$0$	$432$	$-0.097510$	$-185193/116$	$0.85122$	$3.09360$	$1$	$[1, -1, 1, -30, 97]$	\(y^2+xy+y=x^3-x^2-30x+97\)	116.2.0.?	$[ ]$	$1$

  Download displayed columns for results to