Elliptic curve search results

Results (35 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
483.a1	483b1	483.a	483b	$1$	$1$	\( 3 \cdot 7 \cdot 23 \)	\( - 3 \cdot 7 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$966$	$2$	$0$	$1$	$1$		$0$	$20$	$-0.797830$	$512000/483$	$0.74348$	$2.12719$	$[0, 1, 1, 2, 1]$	\(y^2+y=x^3+x^2+2x+1\)	966.2.0.?	$[ ]$	$1$
1449.c1	1449d1	1449.c	1449d	$1$	$1$	\( 3^{2} \cdot 7 \cdot 23 \)	\( - 3^{7} \cdot 7 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$0.228829102$	$1$		$6$	$160$	$-0.248523$	$512000/483$	$0.74348$	$2.71174$	$[0, 0, 1, 15, -18]$	\(y^2+y=x^3+15x-18\)	966.2.0.?	$[(2, 4)]$	$1$
3381.m1	3381h1	3381.m	3381h	$1$	$1$	\( 3 \cdot 7^{2} \cdot 23 \)	\( - 3 \cdot 7^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1.287009699$	$1$		$0$	$960$	$0.175126$	$512000/483$	$0.74348$	$3.05461$	$[0, -1, 1, 82, -253]$	\(y^2+y=x^3-x^2+82x-253\)	966.2.0.?	$[(13/2, 45/2)]$	$1$
7728.e1	7728g1	7728.e	7728g	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 23 \)	\( - 2^{12} \cdot 3 \cdot 7 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$800$	$-0.104682$	$512000/483$	$0.74348$	$2.39750$	$[0, -1, 0, 27, -51]$	\(y^2=x^3-x^2+27x-51\)	966.2.0.?	$[ ]$	$1$
10143.b1	10143p1	10143.b	10143p	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 3^{7} \cdot 7^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$0.366595646$	$1$		$6$	$7680$	$0.724432$	$512000/483$	$0.74348$	$3.40540$	$[0, 0, 1, 735, 6088]$	\(y^2+y=x^3+735x+6088\)	966.2.0.?	$[(28, 220)]$	$1$
11109.k1	11109f1	11109.k	11109f	$1$	$1$	\( 3 \cdot 7 \cdot 23^{2} \)	\( - 3 \cdot 7 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$4.238567559$	$1$		$0$	$10560$	$0.769917$	$512000/483$	$0.74348$	$3.43073$	$[0, 1, 1, 882, -7705]$	\(y^2+y=x^3+x^2+882x-7705\)	966.2.0.?	$[(2225/8, 131465/8)]$	$1$
12075.a1	12075f1	12075.a	12075f	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 3 \cdot 5^{6} \cdot 7 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$0.518165354$	$1$		$6$	$2880$	$0.006890$	$512000/483$	$0.74348$	$2.42611$	$[0, -1, 1, 42, 68]$	\(y^2+y=x^3-x^2+42x+68\)	966.2.0.?	$[(2, 12)]$	$1$
23184.y1	23184bm1	23184.y	23184bm	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( - 2^{12} \cdot 3^{7} \cdot 7 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$6400$	$0.444624$	$512000/483$	$0.74348$	$2.79126$	$[0, 0, 0, 240, 1136]$	\(y^2=x^3+240x+1136\)	966.2.0.?	$[ ]$	$1$
30912.t1	30912m1	30912.t	30912m	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 3 \cdot 7 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1.995905845$	$1$		$2$	$1600$	$-0.451256$	$512000/483$	$0.74348$	$1.67377$	$[0, -1, 0, 7, 3]$	\(y^2=x^3-x^2+7x+3\)	966.2.0.?	$[(6, 15)]$	$1$
30912.bt1	30912bu1	30912.bt	30912bu	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 3 \cdot 7 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$3.264509260$	$1$		$0$	$1600$	$-0.451256$	$512000/483$	$0.74348$	$1.67377$	$[0, 1, 0, 7, -3]$	\(y^2=x^3+x^2+7x-3\)	966.2.0.?	$[(4/3, 17/3)]$	$1$
33327.a1	33327l1	33327.a	33327l	$1$	$1$	\( 3^{2} \cdot 7 \cdot 23^{2} \)	\( - 3^{7} \cdot 7 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$0.893302331$	$1$		$4$	$84480$	$1.319223$	$512000/483$	$0.74348$	$3.70177$	$[0, 0, 1, 7935, 215964]$	\(y^2+y=x^3+7935x+215964\)	966.2.0.?	$[(161, 2380)]$	$1$
36225.bx1	36225bl1	36225.bx	36225bl	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 3^{7} \cdot 5^{6} \cdot 7 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$3.592042038$	$1$		$0$	$23040$	$0.556196$	$512000/483$	$0.74348$	$2.80013$	$[0, 0, 1, 375, -2219]$	\(y^2+y=x^3+375x-2219\)	966.2.0.?	$[(505/2, 11471/2)]$	$1$
54096.cn1	54096ck1	54096.cn	54096ck	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{12} \cdot 3 \cdot 7^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$38400$	$0.868273$	$512000/483$	$0.74348$	$3.04072$	$[0, 1, 0, 1307, 14867]$	\(y^2=x^3+x^2+1307x+14867\)	966.2.0.?	$[ ]$	$1$
58443.c1	58443o1	58443.c	58443o	$1$	$1$	\( 3 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 3 \cdot 7 \cdot 11^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$28600$	$0.401118$	$512000/483$	$0.74348$	$2.50856$	$[0, 1, 1, 202, -808]$	\(y^2+y=x^3+x^2+202x-808\)	966.2.0.?	$[ ]$	$1$
77763.bd1	77763p1	77763.bd	77763p	$1$	$1$	\( 3 \cdot 7^{2} \cdot 23^{2} \)	\( - 3 \cdot 7^{7} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$4.563028321$	$1$		$0$	$506880$	$1.742872$	$512000/483$	$0.74348$	$3.87469$	$[0, -1, 1, 43202, 2729145]$	\(y^2+y=x^3-x^2+43202x+2729145\)	966.2.0.?	$[(1761/4, 189879/4)]$	$1$
81627.c1	81627r1	81627.c	81627r	$1$	$1$	\( 3 \cdot 7 \cdot 13^{2} \cdot 23 \)	\( - 3 \cdot 7 \cdot 13^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1.982188295$	$1$		$0$	$46080$	$0.484645$	$512000/483$	$0.74348$	$2.52308$	$[0, 1, 1, 282, 1538]$	\(y^2+y=x^3+x^2+282x+1538\)	966.2.0.?	$[(29/2, 503/2)]$	$1$
84525.h1	84525cd1	84525.h	84525cd	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 3 \cdot 5^{6} \cdot 7^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$2.316315714$	$1$		$2$	$138240$	$0.979845$	$512000/483$	$0.74348$	$3.03912$	$[0, 1, 1, 2042, -27506]$	\(y^2+y=x^3+x^2+2042x-27506\)	966.2.0.?	$[(13, 37)]$	$1$
92736.cp1	92736eg1	92736.cp	92736eg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 3^{7} \cdot 7 \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1.940608399$	$1$		$6$	$12800$	$0.098050$	$512000/483$	$0.74348$	$2.08932$	$[0, 0, 0, 60, 142]$	\(y^2=x^3+60x+142\)	966.2.0.?	$[(-1, 9), (23, 117)]$	$1$
92736.dh1	92736bu1	92736.dh	92736bu	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 3^{7} \cdot 7 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$2.765891569$	$1$		$2$	$12800$	$0.098050$	$512000/483$	$0.74348$	$2.08932$	$[0, 0, 0, 60, -142]$	\(y^2=x^3+60x-142\)	966.2.0.?	$[(11, 43)]$	$1$
139587.s1	139587s1	139587.s	139587s	$1$	$1$	\( 3 \cdot 7 \cdot 17^{2} \cdot 23 \)	\( - 3 \cdot 7 \cdot 17^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$6.206935119$	$1$		$0$	$98560$	$0.618777$	$512000/483$	$0.74348$	$2.54468$	$[0, -1, 1, 482, 3069]$	\(y^2+y=x^3-x^2+482x+3069\)	966.2.0.?	$[(-11/18, 319319/18)]$	$1$
162288.dl1	162288bm1	162288.dl	162288bm	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{12} \cdot 3^{7} \cdot 7^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$2.914443686$	$1$		$0$	$307200$	$1.417580$	$512000/483$	$0.74348$	$3.31171$	$[0, 0, 0, 11760, -389648]$	\(y^2=x^3+11760x-389648\)	966.2.0.?	$[(161/2, 3087/2)]$	$1$
174363.a1	174363a1	174363.a	174363a	$1$	$1$	\( 3 \cdot 7 \cdot 19^{2} \cdot 23 \)	\( - 3 \cdot 7 \cdot 19^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$140760$	$0.674390$	$512000/483$	$0.74348$	$2.55307$	$[0, -1, 1, 602, -4710]$	\(y^2+y=x^3-x^2+602x-4710\)	966.2.0.?	$[ ]$	$1$
175329.bb1	175329z1	175329.bb	175329z	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 3^{7} \cdot 7 \cdot 11^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$5.628957099$	$1$		$0$	$228800$	$0.950424$	$512000/483$	$0.74348$	$2.82623$	$[0, 0, 1, 1815, 23625]$	\(y^2+y=x^3+1815x+23625\)	966.2.0.?	$[(521/4, 21883/4)]$	$1$
177744.z1	177744bt1	177744.z	177744bt	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \)	\( - 2^{12} \cdot 3 \cdot 7 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$422400$	$1.463064$	$512000/483$	$0.74348$	$3.33194$	$[0, -1, 0, 14107, 507213]$	\(y^2=x^3-x^2+14107x+507213\)	966.2.0.?	$[ ]$	$1$
193200.gj1	193200bd1	193200.gj	193200bd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{12} \cdot 3 \cdot 5^{6} \cdot 7 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$7.049561644$	$1$		$0$	$115200$	$0.700037$	$512000/483$	$0.74348$	$2.55684$	$[0, 1, 0, 667, -5037]$	\(y^2=x^3+x^2+667x-5037\)	966.2.0.?	$[(3678/11, 279975/11)]$	$1$
216384.ci1	216384dn1	216384.ci	216384dn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{6} \cdot 3 \cdot 7^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$3.334362366$	$1$		$0$	$76800$	$0.521700$	$512000/483$	$0.74348$	$2.35905$	$[0, -1, 0, 327, 1695]$	\(y^2=x^3-x^2+327x+1695\)	966.2.0.?	$[(10/3, 1225/3)]$	$1$
216384.gt1	216384fv1	216384.gt	216384fv	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{6} \cdot 3 \cdot 7^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$76800$	$0.521700$	$512000/483$	$0.74348$	$2.35905$	$[0, 1, 0, 327, -1695]$	\(y^2=x^3+x^2+327x-1695\)	966.2.0.?	$[ ]$	$1$
233289.e1	233289e1	233289.e	233289e	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{7} \cdot 7^{7} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$4055040$	$2.292179$	$512000/483$	$0.74348$	$4.06360$	$[0, 0, 1, 388815, -74075738]$	\(y^2+y=x^3+388815x-74075738\)	966.2.0.?	$[ ]$	$1$
244881.bw1	244881bw1	244881.bw	244881bw	$1$	$1$	\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \)	\( - 3^{7} \cdot 7 \cdot 13^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$368640$	$1.033951$	$512000/483$	$0.74348$	$2.83091$	$[0, 0, 1, 2535, -38997]$	\(y^2+y=x^3+2535x-38997\)	966.2.0.?	$[ ]$	$1$
253575.fu1	253575fu1	253575.fu	253575fu	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 3^{7} \cdot 5^{6} \cdot 7^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$1105920$	$1.529150$	$512000/483$	$0.74348$	$3.30053$	$[0, 0, 1, 18375, 761031]$	\(y^2+y=x^3+18375x+761031\)	966.2.0.?	$[ ]$	$1$
277725.i1	277725i1	277725.i	277725i	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( - 3 \cdot 5^{6} \cdot 7 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$2.808895039$	$1$		$0$	$1520640$	$1.574636$	$512000/483$	$0.74348$	$3.32012$	$[0, -1, 1, 22042, -1007182]$	\(y^2+y=x^3-x^2+22042x-1007182\)	966.2.0.?	$[(1573/2, 66121/2)]$	$1$
406203.a1	406203a1	406203.a	406203a	$1$	$1$	\( 3 \cdot 7 \cdot 23 \cdot 29^{2} \)	\( - 3 \cdot 7 \cdot 23 \cdot 29^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$2.623474721$	$1$		$0$	$483840$	$0.885818$	$512000/483$	$0.74348$	$2.58234$	$[0, -1, 1, 1402, 15566]$	\(y^2+y=x^3-x^2+1402x+15566\)	966.2.0.?	$[(301/2, 5883/2)]$	$1$
409101.b1	409101b1	409101.b	409101b	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \)	\( - 3 \cdot 7^{7} \cdot 11^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$1372800$	$1.374073$	$512000/483$	$0.74348$	$3.03434$	$[0, -1, 1, 9882, 296834]$	\(y^2+y=x^3-x^2+9882x+296834\)	966.2.0.?	$[ ]$	$1$
418761.a1	418761a1	418761.a	418761a	$1$	$1$	\( 3^{2} \cdot 7 \cdot 17^{2} \cdot 23 \)	\( - 3^{7} \cdot 7 \cdot 17^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1.887948546$	$1$		$2$	$788480$	$1.168083$	$512000/483$	$0.74348$	$2.83792$	$[0, 0, 1, 4335, -87206]$	\(y^2+y=x^3+4335x-87206\)	966.2.0.?	$[(68, 722)]$	$1$
464163.l1	464163l1	464163.l	464163l	$1$	$1$	\( 3 \cdot 7 \cdot 23 \cdot 31^{2} \)	\( - 3 \cdot 7 \cdot 23 \cdot 31^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$11.05459271$	$1$		$0$	$612000$	$0.919165$	$512000/483$	$0.74348$	$2.58661$	$[0, -1, 1, 1602, -20119]$	\(y^2+y=x^3-x^2+1602x-20119\)	966.2.0.?	$[(995153/184, 1410609465/184)]$	$1$

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