Elliptic curve search results

Results (26 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
3192.o2	3192h1	3192.o	3192h	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$0.280264358$	$1$		$9$	$640$	$0.184697$	$340736000/4298427$	$0.93077$	$3.15479$	$[0, 1, 0, 37, 402]$	\(y^2=x^3+x^2+37x+402\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(1, 21)]$
6384.j2	6384b1	6384.j	6384b	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$1280$	$0.184697$	$340736000/4298427$	$0.93077$	$2.90521$	$[0, -1, 0, 37, -402]$	\(y^2=x^3-x^2+37x-402\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[]$
9576.n2	9576y1	9576.n	9576y	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{11} \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$5120$	$0.734003$	$340736000/4298427$	$0.93077$	$3.49577$	$[0, 0, 0, 330, -10523]$	\(y^2=x^3+330x-10523\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[]$
19152.u2	19152p1	19152.u	19152p	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{11} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.476821597$	$1$		$3$	$10240$	$0.734003$	$340736000/4298427$	$0.93077$	$3.25003$	$[0, 0, 0, 330, 10523]$	\(y^2=x^3+330x+10523\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(211, 3078)]$
22344.j2	22344f1	22344.j	22344f	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$3.221403893$	$1$		$3$	$30720$	$1.157652$	$340736000/4298427$	$0.93077$	$3.70765$	$[0, -1, 0, 1797, -134280]$	\(y^2=x^3-x^2+1797x-134280\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(215, 3185)]$
25536.ba2	25536r1	25536.ba	25536r	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$2.157354199$	$1$		$5$	$10240$	$0.531270$	$340736000/4298427$	$0.93077$	$2.91816$	$[0, -1, 0, 147, 3069]$	\(y^2=x^3-x^2+147x+3069\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(-4, 49)]$
25536.cp2	25536cr1	25536.cp	25536cr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$0.913771146$	$1$		$7$	$10240$	$0.531270$	$340736000/4298427$	$0.93077$	$2.91816$	$[0, 1, 0, 147, -3069]$	\(y^2=x^3+x^2+147x-3069\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(30, 171)]$
44688.db2	44688y1	44688.db	44688y	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.480012904$	$1$		$3$	$61440$	$1.157652$	$340736000/4298427$	$0.93077$	$3.46764$	$[0, 1, 0, 1797, 134280]$	\(y^2=x^3+x^2+1797x+134280\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(156, 2058)]$
60648.m2	60648z1	60648.m	60648z	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{2} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$230400$	$1.656916$	$340736000/4298427$	$0.93077$	$3.91550$	$[0, -1, 0, 13237, -2677644]$	\(y^2=x^3-x^2+13237x-2677644\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[]$
67032.bm2	67032cm1	67032.bm	67032cm	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{11} \cdot 7^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.189518386$	$1$		$7$	$245760$	$1.706959$	$340736000/4298427$	$0.93077$	$3.93427$	$[0, 0, 0, 16170, 3609389]$	\(y^2=x^3+16170x+3609389\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(-62, 1539)]$
76608.cl2	76608du1	76608.cl	76608du	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{11} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$2.755782632$	$1$		$5$	$81920$	$1.080576$	$340736000/4298427$	$0.93077$	$3.21921$	$[0, 0, 0, 1320, 84184]$	\(y^2=x^3+1320x+84184\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(-15, 247)]$
76608.do2	76608cl1	76608.do	76608cl	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{11} \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$81920$	$1.080576$	$340736000/4298427$	$0.93077$	$3.21921$	$[0, 0, 0, 1320, -84184]$	\(y^2=x^3+1320x-84184\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[]$
79800.d2	79800v1	79800.d	79800v	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{6} \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$92160$	$0.989416$	$340736000/4298427$	$0.93077$	$3.11065$	$[0, -1, 0, 917, 48412]$	\(y^2=x^3-x^2+917x+48412\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[]$
121296.cq2	121296ba1	121296.cq	121296ba	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$2.420680649$	$1$		$3$	$460800$	$1.656916$	$340736000/4298427$	$0.93077$	$3.68365$	$[0, 1, 0, 13237, 2677644]$	\(y^2=x^3+x^2+13237x+2677644\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(2020, 90972)]$
134064.de2	134064ei1	134064.de	134064ei	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{11} \cdot 7^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$7.372404323$	$1$		$1$	$491520$	$1.706959$	$340736000/4298427$	$0.93077$	$3.70328$	$[0, 0, 0, 16170, -3609389]$	\(y^2=x^3+16170x-3609389\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(145313/2, 55393569/2)]$
159600.gg2	159600fo1	159600.gg	159600fo	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{6} \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$184320$	$0.989416$	$340736000/4298427$	$0.93077$	$2.93068$	$[0, 1, 0, 917, -48412]$	\(y^2=x^3+x^2+917x-48412\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[]$
178752.cp2	178752ea1	178752.cp	178752ea	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 7^{8} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$491520$	$1.504225$	$340736000/4298427$	$0.93077$	$3.41403$	$[0, -1, 0, 7187, 1067053]$	\(y^2=x^3-x^2+7187x+1067053\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[]$
178752.ia2	178752gr1	178752.ia	178752gr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 7^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.857057705$	$1$		$5$	$491520$	$1.504225$	$340736000/4298427$	$0.93077$	$3.41403$	$[0, 1, 0, 7187, -1067053]$	\(y^2=x^3+x^2+7187x-1067053\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(86, 441)]$
181944.bg2	181944br1	181944.bg	181944br	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 7^{2} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$1843200$	$2.206223$	$340736000/4298427$	$0.93077$	$4.10458$	$[0, 0, 0, 119130, 72177257]$	\(y^2=x^3+119130x+72177257\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[]$
239400.bg2	239400bg1	239400.bg	239400bg	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{6} \cdot 7^{2} \cdot 19^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$3.553243845$	$1$		$13$	$737280$	$1.538721$	$340736000/4298427$	$0.93077$	$3.36693$	$[0, 0, 0, 8250, -1315375]$	\(y^2=x^3+8250x-1315375\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(160, 2025), (104, 817)]$
363888.cd2	363888cd1	363888.cd	363888cd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 7^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$16.35013802$	$1$		$1$	$3686400$	$2.206223$	$340736000/4298427$	$0.93077$	$3.88239$	$[0, 0, 0, 119130, -72177257]$	\(y^2=x^3+119130x-72177257\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(447071083/789, 9622083978640/789)]$
386232.bx2	386232bx1	386232.bx	386232bx	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{2} \cdot 11^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.854278170$	$1$		$5$	$921600$	$1.383644$	$340736000/4298427$	$0.93077$	$3.09708$	$[0, 1, 0, 4437, -517266]$	\(y^2=x^3+x^2+4437x-517266\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(183, 2541)]$
424536.di2	424536di1	424536.di	424536di	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{8} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$2.197311789$	$1$		$3$	$11059200$	$2.629871$	$340736000/4298427$	$0.93077$	$4.22851$	$[0, 1, 0, 648597, 917134686]$	\(y^2=x^3+x^2+648597x+917134686\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(690, 41154)]$
478800.lu2	478800lu1	478800.lu	478800lu	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{6} \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.538721$	$340736000/4298427$	$0.93077$	$3.18849$	$[0, 0, 0, 8250, 1315375]$	\(y^2=x^3+8250x+1315375\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[]$
485184.bw2	485184bw1	485184.bw	485184bw	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 7^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$4.412235053$	$1$		$5$	$3686400$	$2.003490$	$340736000/4298427$	$0.93077$	$3.61126$	$[0, -1, 0, 52947, 21368205]$	\(y^2=x^3-x^2+52947x+21368205\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(-187, 2212)]$
485184.hc2	485184hc1	485184.hc	485184hc	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 7^{2} \cdot 19^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$6.569515988$	$1$		$9$	$3686400$	$2.003490$	$340736000/4298427$	$0.93077$	$3.61126$	$[0, 1, 0, 52947, -21368205]$	\(y^2=x^3+x^2+52947x-21368205\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(291, 4332), (4109/2, 267501/2)]$

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