Elliptic curve search results

Results (21 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
2652.f4	2652f4	2652.f	2652f	$4$	$6$	$2^{2} \cdot 3 \cdot 13 \cdot 17$	$- 2^{8} \cdot 3^{4} \cdot 13^{6} \cdot 17^{3}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$2652$	$96$	$1$	$1$	$1$		$1$	$8640$	$1.508451$	$3258571509326000/1920843121977$	$1.13909$	$5.23467$	$[0, 1, 0, 19612, -137676]$	$y^2=x^3+x^2+19612x-137676$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 52.6.0.c.1, 68.6.0.a.1, $\ldots$	$[]$
7956.b4	7956g4	7956.b	7956g	$4$	$6$	$2^{2} \cdot 3^{2} \cdot 13 \cdot 17$	$- 2^{8} \cdot 3^{10} \cdot 13^{6} \cdot 17^{3}$	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$2652$	$96$	$1$	$3.364972482$	$1$		$9$	$69120$	$2.057758$	$3258571509326000/1920843121977$	$1.13909$	$5.32828$	$[0, 0, 0, 176505, 3893758]$	$y^2=x^3+176505x+3893758$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 52.6.0.c.1, 68.6.0.a.1, $\ldots$	$[(303, 9230)]$
10608.j4	10608r4	10608.j	10608r	$4$	$6$	$2^{4} \cdot 3 \cdot 13 \cdot 17$	$- 2^{8} \cdot 3^{4} \cdot 13^{6} \cdot 17^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2652$	$96$	$1$	$4.660509673$	$1$		$3$	$34560$	$1.508451$	$3258571509326000/1920843121977$	$1.13909$	$4.45179$	$[0, -1, 0, 19612, 137676]$	$y^2=x^3-x^2+19612x+137676$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 52.6.0.c.1, $\ldots$	$[(825, 24024)]$
31824.z4	31824bm4	31824.z	31824bm	$4$	$6$	$2^{4} \cdot 3^{2} \cdot 13 \cdot 17$	$- 2^{8} \cdot 3^{10} \cdot 13^{6} \cdot 17^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2652$	$96$	$1$	$2.082386151$	$1$		$3$	$276480$	$2.057758$	$3258571509326000/1920843121977$	$1.13909$	$4.61584$	$[0, 0, 0, 176505, -3893758]$	$y^2=x^3+176505x-3893758$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 52.6.0.c.1, $\ldots$	$[(74, 3094)]$
34476.p4	34476k4	34476.p	34476k	$4$	$6$	$2^{2} \cdot 3 \cdot 13^{2} \cdot 17$	$- 2^{8} \cdot 3^{4} \cdot 13^{12} \cdot 17^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2652$	$96$	$1$	$7.983871397$	$1$		$1$	$1451520$	$2.790928$	$3258571509326000/1920843121977$	$1.13909$	$5.42255$	$[0, 1, 0, 3314372, -315731740]$	$y^2=x^3+x^2+3314372x-315731740$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 39.8.0-3.a.1.2, $\ldots$	$[(28363/3, 5496218/3)]$
42432.g4	42432a4	42432.g	42432a	$4$	$6$	$2^{6} \cdot 3 \cdot 13 \cdot 17$	$- 2^{14} \cdot 3^{4} \cdot 13^{6} \cdot 17^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5304$	$96$	$1$	$7.494890819$	$1$		$1$	$276480$	$1.855026$	$3258571509326000/1920843121977$	$1.13909$	$4.26291$	$[0, -1, 0, 78447, -1179855]$	$y^2=x^3-x^2+78447x-1179855$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 52.6.0.c.1, $\ldots$	$[(4821/2, 343413/2)]$
42432.cb4	42432cd4	42432.cb	42432cd	$4$	$6$	$2^{6} \cdot 3 \cdot 13 \cdot 17$	$- 2^{14} \cdot 3^{4} \cdot 13^{6} \cdot 17^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5304$	$96$	$1$	$4.681564288$	$1$		$3$	$276480$	$1.855026$	$3258571509326000/1920843121977$	$1.13909$	$4.26291$	$[0, 1, 0, 78447, 1179855]$	$y^2=x^3+x^2+78447x+1179855$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 52.6.0.c.1, $\ldots$	$[(227, 5544)]$
45084.f4	45084h4	45084.f	45084h	$4$	$6$	$2^{2} \cdot 3 \cdot 13 \cdot 17^{2}$	$- 2^{8} \cdot 3^{4} \cdot 13^{6} \cdot 17^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2652$	$96$	$1$	$13.23879639$	$1$		$1$	$2488320$	$2.925060$	$3258571509326000/1920843121977$	$1.13909$	$5.43701$	$[0, -1, 0, 5667772, -710409000]$	$y^2=x^3-x^2+5667772x-710409000$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 51.8.0-3.a.1.1, $\ldots$	$[(1338449/16, 1697804199/16)]$
66300.t4	66300f4	66300.t	66300f	$4$	$6$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17$	$- 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 13^{6} \cdot 17^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$13260$	$96$	$1$	$2.703571858$	$1$		$3$	$1244160$	$2.313171$	$3258571509326000/1920843121977$	$1.13909$	$4.58675$	$[0, -1, 0, 490292, -18190088]$	$y^2=x^3-x^2+490292x-18190088$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[(118, 6426)]$
103428.s4	103428r4	103428.s	103428r	$4$	$6$	$2^{2} \cdot 3^{2} \cdot 13^{2} \cdot 17$	$- 2^{8} \cdot 3^{10} \cdot 13^{12} \cdot 17^{3}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2652$	$96$	$1$	$1$	$4$	$2$	$1$	$11612160$	$3.340233$	$3258571509326000/1920843121977$	$1.13909$	$5.47749$	$[0, 0, 0, 29829345, 8554586326]$	$y^2=x^3+29829345x+8554586326$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 39.8.0-3.a.1.1, $\ldots$	$[]$
127296.bp4	127296n4	127296.bp	127296n	$4$	$6$	$2^{6} \cdot 3^{2} \cdot 13 \cdot 17$	$- 2^{14} \cdot 3^{10} \cdot 13^{6} \cdot 17^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5304$	$96$	$1$	$3.082267030$	$1$		$3$	$2211840$	$2.404331$	$3258571509326000/1920843121977$	$1.13909$	$4.42527$	$[0, 0, 0, 706020, 31150064]$	$y^2=x^3+706020x+31150064$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 52.6.0.c.1, $\ldots$	$[(685, 28917)]$
127296.cp4	127296cm4	127296.cp	127296cm	$4$	$6$	$2^{6} \cdot 3^{2} \cdot 13 \cdot 17$	$- 2^{14} \cdot 3^{10} \cdot 13^{6} \cdot 17^{3}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5304$	$96$	$1$	$1$	$1$		$1$	$2211840$	$2.404331$	$3258571509326000/1920843121977$	$1.13909$	$4.42527$	$[0, 0, 0, 706020, -31150064]$	$y^2=x^3+706020x-31150064$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 52.6.0.c.1, $\ldots$	$[]$
129948.l4	129948h4	129948.l	129948h	$4$	$6$	$2^{2} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17$	$- 2^{8} \cdot 3^{4} \cdot 7^{6} \cdot 13^{6} \cdot 17^{3}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$18564$	$96$	$1$	$1$	$1$		$1$	$2488320$	$2.481407$	$3258571509326000/1920843121977$	$1.13909$	$4.49607$	$[0, -1, 0, 960972, 49144824]$	$y^2=x^3-x^2+960972x+49144824$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[]$
135252.o4	135252l4	135252.o	135252l	$4$	$6$	$2^{2} \cdot 3^{2} \cdot 13 \cdot 17^{2}$	$- 2^{8} \cdot 3^{10} \cdot 13^{6} \cdot 17^{9}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2652$	$96$	$1$	$1$	$1$		$1$	$19906560$	$3.474365$	$3258571509326000/1920843121977$	$1.13909$	$5.48936$	$[0, 0, 0, 51009945, 19130033054]$	$y^2=x^3+51009945x+19130033054$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 51.8.0-3.a.1.2, $\ldots$	$[]$
137904.o4	137904bh4	137904.o	137904bh	$4$	$6$	$2^{4} \cdot 3 \cdot 13^{2} \cdot 17$	$- 2^{8} \cdot 3^{4} \cdot 13^{12} \cdot 17^{3}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2652$	$96$	$1$	$1$	$4$	$2$	$1$	$5806080$	$2.790928$	$3258571509326000/1920843121977$	$1.13909$	$4.78734$	$[0, -1, 0, 3314372, 315731740]$	$y^2=x^3-x^2+3314372x+315731740$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 52.6.0.c.1, $\ldots$	$[]$
180336.cj4	180336k4	180336.cj	180336k	$4$	$6$	$2^{4} \cdot 3 \cdot 13 \cdot 17^{2}$	$- 2^{8} \cdot 3^{4} \cdot 13^{6} \cdot 17^{9}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2652$	$96$	$1$	$1$	$1$		$1$	$9953280$	$2.925060$	$3258571509326000/1920843121977$	$1.13909$	$4.81422$	$[0, 1, 0, 5667772, 710409000]$	$y^2=x^3+x^2+5667772x+710409000$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 52.6.0.c.1, 68.6.0.a.1, $\ldots$	$[]$
198900.cn4	198900cc4	198900.cn	198900cc	$4$	$6$	$2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17$	$- 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 13^{6} \cdot 17^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$13260$	$96$	$1$	$27.77654135$	$1$		$1$	$9953280$	$2.862476$	$3258571509326000/1920843121977$	$1.13909$	$4.71401$	$[0, 0, 0, 4412625, 486719750]$	$y^2=x^3+4412625x+486719750$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[(9562572040921/28106, 30016648170976079781/28106)]$
265200.eb4	265200eb4	265200.eb	265200eb	$4$	$6$	$2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17$	$- 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 13^{6} \cdot 17^{3}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$13260$	$96$	$1$	$1$	$1$		$1$	$4976640$	$2.313171$	$3258571509326000/1920843121977$	$1.13909$	$4.07759$	$[0, 1, 0, 490292, 18190088]$	$y^2=x^3+x^2+490292x+18190088$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 52.6.0.c.1, 60.24.0-6.a.1.2, $\ldots$	$[]$
320892.x4	320892x4	320892.x	320892x	$4$	$6$	$2^{2} \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17$	$- 2^{8} \cdot 3^{4} \cdot 11^{6} \cdot 13^{6} \cdot 17^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$29172$	$96$	$1$	$1.831142970$	$1$		$3$	$12441600$	$2.707401$	$3258571509326000/1920843121977$	$1.13909$	$4.38940$	$[0, 1, 0, 2373012, 192738852]$	$y^2=x^3+x^2+2373012x+192738852$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 52.6.0.c.1, $\ldots$	$[(1536, 86394)]$
389844.bt4	389844bt4	389844.bt	389844bt	$4$	$6$	$2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17$	$- 2^{8} \cdot 3^{10} \cdot 7^{6} \cdot 13^{6} \cdot 17^{3}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$18564$	$96$	$1$	$1$	$1$		$1$	$19906560$	$3.030712$	$3258571509326000/1920843121977$	$1.13909$	$4.62441$	$[0, 0, 0, 8648745, -1335558994]$	$y^2=x^3+8648745x-1335558994$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[]$
413712.ci4	413712ci4	413712.ci	413712ci	$4$	$6$	$2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17$	$- 2^{8} \cdot 3^{10} \cdot 13^{12} \cdot 17^{3}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2652$	$96$	$1$	$24.11907319$	$1$		$3$	$46448640$	$3.340233$	$3258571509326000/1920843121977$	$1.13909$	$4.89036$	$[0, 0, 0, 29829345, -8554586326]$	$y^2=x^3+29829345x-8554586326$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 52.6.0.c.1, $\ldots$	$[(4498, 465426), (3200782/3, 5727107152/3)]$

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