Elliptic curve search results

Results (27 matches)

 

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
2310.d1	2310d3	2310.d	2310d	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$3080$	$48$	$0$	$0.338363607$	$1$		$18$	$2048$	$0.631628$	$1080077156587801/594247500$	$0.94602$	$4.46944$	$[1, 1, 0, -2137, 37129]$	\(y^2+xy=x^3+x^2-2137x+37129\)	2.3.0.a.1, 4.12.0-4.c.1.1, 44.24.0-44.h.1.2, 280.24.0.?, 3080.48.0.?	$[(28, 1)]$
6930.y1	6930bb3	6930.y	6930bb	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1.817801307$	$1$		$4$	$16384$	$1.180935$	$1080077156587801/594247500$	$0.94602$	$4.65957$	$[1, -1, 1, -19238, -1021719]$	\(y^2+xy+y=x^3-x^2-19238x-1021719\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 44.12.0.h.1, 132.24.0.?, $\ldots$	$[(-79, 57)]$
11550.cg1	11550ce3	11550.cg	11550ce	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1.380564232$	$1$		$4$	$49152$	$1.436346$	$1080077156587801/594247500$	$0.94602$	$4.73277$	$[1, 0, 0, -53438, 4747992]$	\(y^2+xy=x^3-53438x+4747992\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 44.12.0.h.1, 56.12.0-4.c.1.5, $\ldots$	$[(148, 220)]$
16170.t1	16170t3	16170.t	16170t	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{10} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1.950646053$	$1$		$6$	$98304$	$1.604584$	$1080077156587801/594247500$	$0.94602$	$4.77677$	$[1, 0, 1, -104739, -13049438]$	\(y^2+xy+y=x^3-104739x-13049438\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 44.12.0.h.1, $\ldots$	$[(-184, 54)]$
18480.ct1	18480cz3	18480.ct	18480cz	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$3080$	$48$	$0$	$2.311338780$	$1$		$5$	$49152$	$1.324776$	$1080077156587801/594247500$	$0.94602$	$4.37008$	$[0, 1, 0, -34200, -2444652]$	\(y^2=x^3+x^2-34200x-2444652\)	2.3.0.a.1, 4.12.0-4.c.1.2, 44.24.0-44.h.1.1, 280.24.0.?, 3080.48.0.?	$[(-108, 30)]$
25410.cb1	25410ca4	25410.cb	25410ca	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$3080$	$48$	$0$	$1$	$1$		$0$	$245760$	$1.830576$	$1080077156587801/594247500$	$0.94602$	$4.83128$	$[1, 1, 1, -258640, -50711803]$	\(y^2+xy+y=x^3+x^2-258640x-50711803\)	2.3.0.a.1, 4.12.0-4.c.1.2, 44.24.0-44.h.1.1, 280.24.0.?, 3080.48.0.?	$[]$
34650.u1	34650o4	34650.u	34650o	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{10} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$2.926097462$	$1$		$4$	$393216$	$1.985653$	$1080077156587801/594247500$	$0.94602$	$4.86596$	$[1, -1, 0, -480942, -128195784]$	\(y^2+xy=x^3-x^2-480942x-128195784\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0.h.1, 60.12.0-4.c.1.2, 168.12.0.?, $\ldots$	$[(-395, 26)]$
48510.eg1	48510ee4	48510.eg	48510ee	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 7^{10} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$0$	$786432$	$2.153889$	$1080077156587801/594247500$	$0.94602$	$4.90132$	$[1, -1, 1, -942647, 352334819]$	\(y^2+xy+y=x^3-x^2-942647x+352334819\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0.h.1, 84.12.0.?, 120.12.0.?, $\ldots$	$[]$
55440.i1	55440cr4	55440.i	55440cr	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$2.748111794$	$1$		$5$	$393216$	$1.874081$	$1080077156587801/594247500$	$0.94602$	$4.53401$	$[0, 0, 0, -307803, 65697802]$	\(y^2=x^3-307803x+65697802\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 44.12.0.h.1, 132.24.0.?, $\ldots$	$[(351, 950)]$
73920.o1	73920dy4	73920.o	73920dy	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$393216$	$1.671349$	$1080077156587801/594247500$	$0.94602$	$4.20066$	$[0, -1, 0, -136801, -19420415]$	\(y^2=x^3-x^2-136801x-19420415\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 44.12.0.h.1, 88.24.0.?, $\ldots$	$[]$
73920.gg1	73920cu4	73920.gg	73920cu	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$393216$	$1.671349$	$1080077156587801/594247500$	$0.94602$	$4.20066$	$[0, 1, 0, -136801, 19420415]$	\(y^2=x^3+x^2-136801x+19420415\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 44.12.0.h.1, 88.24.0.?, $\ldots$	$[]$
76230.k1	76230q4	76230.k	76230q	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$0.870196759$	$1$		$8$	$1966080$	$2.379883$	$1080077156587801/594247500$	$0.94602$	$4.94550$	$[1, -1, 0, -2327760, 1366890916]$	\(y^2+xy=x^3-x^2-2327760x+1366890916\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 44.12.0.h.1, 132.24.0.?, $\ldots$	$[(762, 5548)]$
80850.dt1	80850dx4	80850.dt	80850dx	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 7^{10} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$3080$	$48$	$0$	$4.353086157$	$1$		$2$	$2359296$	$2.409302$	$1080077156587801/594247500$	$0.94602$	$4.95099$	$[1, 1, 1, -2618463, -1631179719]$	\(y^2+xy+y=x^3+x^2-2618463x-1631179719\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0.h.1, 88.24.0.?, $\ldots$	$[(4451, 271488)]$
92400.ds1	92400ej4	92400.ds	92400ej	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{2} \cdot 5^{10} \cdot 7^{4} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$1179648$	$2.129494$	$1080077156587801/594247500$	$0.94602$	$4.59951$	$[0, -1, 0, -855008, -303871488]$	\(y^2=x^3-x^2-855008x-303871488\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 44.12.0.h.1, 56.12.0-4.c.1.5, $\ldots$	$[]$
127050.dw1	127050dl4	127050.dw	127050dl	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 7^{4} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$1$		$0$	$5898240$	$2.635296$	$1080077156587801/594247500$	$0.94602$	$4.99133$	$[1, 0, 1, -6466001, -6326043352]$	\(y^2+xy+y=x^3-6466001x-6326043352\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 44.12.0.h.1, 56.12.0-4.c.1.3, $\ldots$	$[]$
129360.bx1	129360ee4	129360.bx	129360ee	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 7^{10} \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$4.154782672$	$1$		$13$	$2359296$	$2.297729$	$1080077156587801/594247500$	$0.94602$	$4.63954$	$[0, -1, 0, -1675816, 835164016]$	\(y^2=x^3-x^2-1675816x+835164016\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.5, 44.12.0.h.1, $\ldots$	$[(586, 7350), (733, 294)]$
177870.hc1	177870bp3	177870.hc	177870bp	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{10} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$4.675226351$	$1$		$2$	$11796480$	$2.803532$	$1080077156587801/594247500$	$0.94602$	$5.01941$	$[1, 0, 0, -12673361, 17356128285]$	\(y^2+xy=x^3-12673361x+17356128285\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.3, 44.12.0.h.1, $\ldots$	$[(8898, 776001)]$
203280.ha1	203280i3	203280.ha	203280i	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 11^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$3080$	$48$	$0$	$1$	$1$		$3$	$5898240$	$2.523724$	$1080077156587801/594247500$	$0.94602$	$4.68985$	$[0, 1, 0, -4138240, 3237278900]$	\(y^2=x^3+x^2-4138240x+3237278900\)	2.3.0.a.1, 4.12.0-4.c.1.1, 44.24.0-44.h.1.2, 280.24.0.?, 3080.48.0.?	$[]$
221760.jj1	221760by3	221760.jj	221760by	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1.548834749$	$1$		$7$	$3145728$	$2.220654$	$1080077156587801/594247500$	$0.94602$	$4.36125$	$[0, 0, 0, -1231212, 525582416]$	\(y^2=x^3-1231212x+525582416\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 44.12.0.h.1, 264.24.0.?, $\ldots$	$[(602, 1600)]$
221760.lv1	221760it4	221760.lv	221760it	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$1$	$3145728$	$2.220654$	$1080077156587801/594247500$	$0.94602$	$4.36125$	$[0, 0, 0, -1231212, -525582416]$	\(y^2=x^3-1231212x-525582416\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 44.12.0.h.1, 264.24.0.?, $\ldots$	$[]$
242550.ez1	242550ez3	242550.ez	242550ez	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{10} \cdot 7^{10} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$0$	$18874368$	$2.958607$	$1080077156587801/594247500$	$0.94602$	$5.04394$	$[1, -1, 0, -23566167, 44018286241]$	\(y^2+xy=x^3-x^2-23566167x+44018286241\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0.h.1, 264.24.0.?, $\ldots$	$[]$
277200.jw1	277200jw3	277200.jw	277200jw	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{10} \cdot 7^{4} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$1$	$9437184$	$2.678799$	$1080077156587801/594247500$	$0.94602$	$4.72227$	$[0, 0, 0, -7695075, 8212225250]$	\(y^2=x^3-7695075x+8212225250\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0.h.1, 60.12.0-4.c.1.1, 168.12.0.?, $\ldots$	$[]$
369600.dy1	369600dy3	369600.dy	369600dy	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{10} \cdot 7^{4} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$9437184$	$2.476067$	$1080077156587801/594247500$	$0.94602$	$4.42654$	$[0, -1, 0, -3420033, 2434391937]$	\(y^2=x^3-x^2-3420033x+2434391937\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 44.12.0.h.1, 56.12.0-4.c.1.4, $\ldots$	$[]$
369600.rq1	369600rq4	369600.rq	369600rq	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{10} \cdot 7^{4} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$9437184$	$2.476067$	$1080077156587801/594247500$	$0.94602$	$4.42654$	$[0, 1, 0, -3420033, -2434391937]$	\(y^2=x^3+x^2-3420033x-2434391937\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 44.12.0.h.1, 56.12.0-4.c.1.4, $\ldots$	$[]$
381150.ny1	381150ny3	381150.ny	381150ny	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{8} \cdot 5^{10} \cdot 7^{4} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1.781047649$	$1$		$2$	$47185920$	$3.184601$	$1080077156587801/594247500$	$0.94602$	$5.07756$	$[1, -1, 1, -58194005, 170803170497]$	\(y^2+xy+y=x^3-x^2-58194005x+170803170497\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0.h.1, 60.12.0-4.c.1.1, 168.12.0.?, $\ldots$	$[(12279, 1137310)]$
388080.kg1	388080kg4	388080.kg	388080kg	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{4} \cdot 7^{10} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$8.026747029$	$1$		$1$	$18874368$	$2.847038$	$1080077156587801/594247500$	$0.94602$	$4.75568$	$[0, 0, 0, -15082347, -22534346086]$	\(y^2=x^3-15082347x-22534346086\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0.h.1, 84.12.0.?, 120.12.0.?, $\ldots$	$[(-56969/5, 161946/5)]$
390390.cy1	390390cy3	390390.cy	390390cy	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 11 \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$40040$	$48$	$0$	$2.901589413$	$1$		$4$	$4718592$	$1.914103$	$1080077156587801/594247500$	$0.94602$	$3.88395$	$[1, 1, 1, -361241, 83378459]$	\(y^2+xy+y=x^3+x^2-361241x+83378459\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0.h.1, 52.12.0-4.c.1.2, 280.12.0.?, $\ldots$	$[(359, 170)]$