Elliptic curves over $\Q$ of conductor 3328

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

Results (16 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
3328.a1	3328f1	3328.a	3328f	$1$	$1$	\( 2^{8} \cdot 13 \)	\( - 2^{9} \cdot 13^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.3.0.1	3Nn	$312$	$12$	$1$	$0.158137146$	$1$		$16$	$1152$	$-0.000428$	$-354894912/2197$	$1.03160$	$3.19801$	$1$	$[0, 0, 0, -118, 496]$	\(y^2=x^3-118x+496\)	3.3.0.a.1, 12.6.0.d.1, 104.2.0.?, 312.12.1.?	$[(3, 13), (16, 52)]$	$1$
3328.b1	3328i1	3328.b	3328i	$1$	$1$	\( 2^{8} \cdot 13 \)	\( - 2^{15} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.3.0.1	3Nn	$312$	$12$	$1$	$1$	$1$		$0$	$2304$	$0.346145$	$-354894912/2197$	$1.03160$	$3.71082$	$1$	$[0, 0, 0, -472, -3968]$	\(y^2=x^3-472x-3968\)	3.3.0.a.1, 12.6.0.d.1, 104.2.0.?, 312.12.1.?	$[ ]$	$1$
3328.c1	3328d2	3328.c	3328d	$2$	$5$	\( 2^{8} \cdot 13 \)	\( - 2^{9} \cdot 13^{5} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$1040$	$48$	$1$	$0.382325592$	$1$		$16$	$960$	$0.267522$	$-85184/371293$	$1.11420$	$3.26973$	$1$	$[0, -1, 0, -7, -661]$	\(y^2=x^3-x^2-7x-661\)	5.6.0.a.1, 40.12.0.bp.2, 80.24.0.?, 104.2.0.?, 260.12.0.?, $\ldots$	$[(49, 338), (10, 13)]$	$1$
3328.c2	3328d1	3328.c	3328d	$2$	$5$	\( 2^{8} \cdot 13 \)	\( - 2^{9} \cdot 13 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$1040$	$48$	$1$	$0.382325592$	$1$		$12$	$192$	$-0.537197$	$-85184/13$	$0.73383$	$2.19786$	$1$	$[0, -1, 0, -7, 11]$	\(y^2=x^3-x^2-7x+11\)	5.6.0.a.1, 40.12.0.bp.1, 80.24.0.?, 104.2.0.?, 260.12.0.?, $\ldots$	$[(1, 2), (2, 1)]$	$1$
3328.d1	3328l1	3328.d	3328l	$1$	$1$	\( 2^{8} \cdot 13 \)	\( - 2^{15} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$0.733838799$	$1$		$2$	$256$	$-0.230472$	$21952/13$	$0.92990$	$2.51461$	$1$	$[0, -1, 0, 19, -11]$	\(y^2=x^3-x^2+19x-11\)	104.2.0.?	$[(3, 8)]$	$1$
3328.e1	3328c1	3328.e	3328c	$1$	$1$	\( 2^{8} \cdot 13 \)	\( - 2^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$0.597327033$	$1$		$4$	$128$	$-0.577045$	$21952/13$	$0.92990$	$2.00181$	$1$	$[0, -1, 0, 5, -1]$	\(y^2=x^3-x^2+5x-1\)	104.2.0.?	$[(1, 2)]$	$1$
3328.f1	3328g1	3328.f	3328g	$2$	$5$	\( 2^{8} \cdot 13 \)	\( - 2^{15} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$1040$	$48$	$1$	$1$	$1$		$0$	$384$	$-0.190623$	$-85184/13$	$0.73383$	$2.71066$	$1$	$[0, -1, 0, -29, -59]$	\(y^2=x^3-x^2-29x-59\)	5.6.0.a.1, 40.12.0.bp.1, 80.24.0.?, 104.2.0.?, 260.12.0.?, $\ldots$	$[ ]$	$1$
3328.f2	3328g2	3328.f	3328g	$2$	$5$	\( 2^{8} \cdot 13 \)	\( - 2^{15} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$1040$	$48$	$1$	$1$	$1$		$0$	$1920$	$0.614096$	$-85184/371293$	$1.11420$	$3.78253$	$1$	$[0, -1, 0, -29, 5317]$	\(y^2=x^3-x^2-29x+5317\)	5.6.0.a.1, 40.12.0.bp.2, 80.24.0.?, 104.2.0.?, 260.12.0.?, $\ldots$	$[ ]$	$1$
3328.g1	3328k1	3328.g	3328k	$2$	$5$	\( 2^{8} \cdot 13 \)	\( - 2^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$1040$	$48$	$1$	$1.250515182$	$1$		$2$	$192$	$-0.537197$	$-85184/13$	$0.73383$	$2.19786$	$1$	$[0, 1, 0, -7, -11]$	\(y^2=x^3+x^2-7x-11\)	5.6.0.a.1, 40.12.0.bp.1, 80.24.0.?, 104.2.0.?, 260.12.0.?, $\ldots$	$[(3, 2)]$	$1$
3328.g2	3328k2	3328.g	3328k	$2$	$5$	\( 2^{8} \cdot 13 \)	\( - 2^{9} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$1040$	$48$	$1$	$0.250103036$	$1$		$2$	$960$	$0.267522$	$-85184/371293$	$1.11420$	$3.26973$	$1$	$[0, 1, 0, -7, 661]$	\(y^2=x^3+x^2-7x+661\)	5.6.0.a.1, 40.12.0.bp.2, 80.24.0.?, 104.2.0.?, 260.12.0.?, $\ldots$	$[(3, 26)]$	$1$
3328.h1	3328j1	3328.h	3328j	$1$	$1$	\( 2^{8} \cdot 13 \)	\( - 2^{15} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$1.063783728$	$1$		$2$	$256$	$-0.230472$	$21952/13$	$0.92990$	$2.51461$	$1$	$[0, 1, 0, 19, 11]$	\(y^2=x^3+x^2+19x+11\)	104.2.0.?	$[(5, 16)]$	$1$
3328.i1	3328a1	3328.i	3328a	$1$	$1$	\( 2^{8} \cdot 13 \)	\( - 2^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$0.824970301$	$1$		$2$	$128$	$-0.577045$	$21952/13$	$0.92990$	$2.00181$	$1$	$[0, 1, 0, 5, 1]$	\(y^2=x^3+x^2+5x+1\)	104.2.0.?	$[(0, 1)]$	$1$
3328.j1	3328b2	3328.j	3328b	$2$	$5$	\( 2^{8} \cdot 13 \)	\( - 2^{15} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$1040$	$48$	$1$	$3.684640651$	$1$		$2$	$1920$	$0.614096$	$-85184/371293$	$1.11420$	$3.78253$	$1$	$[0, 1, 0, -29, -5317]$	\(y^2=x^3+x^2-29x-5317\)	5.6.0.a.1, 40.12.0.bp.2, 80.24.0.?, 104.2.0.?, 260.12.0.?, $\ldots$	$[(101, 1016)]$	$1$
3328.j2	3328b1	3328.j	3328b	$2$	$5$	\( 2^{8} \cdot 13 \)	\( - 2^{15} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$1040$	$48$	$1$	$0.736928130$	$1$		$2$	$384$	$-0.190623$	$-85184/13$	$0.73383$	$2.71066$	$1$	$[0, 1, 0, -29, 59]$	\(y^2=x^3+x^2-29x+59\)	5.6.0.a.1, 40.12.0.bp.1, 80.24.0.?, 104.2.0.?, 260.12.0.?, $\ldots$	$[(5, 8)]$	$1$
3328.k1	3328e1	3328.k	3328e	$1$	$1$	\( 2^{8} \cdot 13 \)	\( - 2^{9} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.3.0.1	3Nn	$312$	$12$	$1$	$1$	$1$		$0$	$1152$	$-0.000428$	$-354894912/2197$	$1.03160$	$3.19801$	$1$	$[0, 0, 0, -118, -496]$	\(y^2=x^3-118x-496\)	3.3.0.a.1, 12.6.0.d.1, 104.2.0.?, 312.12.1.?	$[ ]$	$1$
3328.l1	3328h1	3328.l	3328h	$1$	$1$	\( 2^{8} \cdot 13 \)	\( - 2^{15} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.3.0.1	3Nn	$312$	$12$	$1$	$1$	$1$		$0$	$2304$	$0.346145$	$-354894912/2197$	$1.03160$	$3.71082$	$1$	$[0, 0, 0, -472, 3968]$	\(y^2=x^3-472x+3968\)	3.3.0.a.1, 12.6.0.d.1, 104.2.0.?, 312.12.1.?	$[ ]$	$1$

  Download displayed columns for results to