Elliptic curve search results

Results (18 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
3330.i2	3330c1	3330.i	3330c	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$2.443246558$	$1$		$5$	$1728$	$0.455943$	$-219256227/59200$	$0.84143$	$3.63422$	$[1, -1, 0, -339, -2827]$	\(y^2+xy=x^3-x^2-339x-2827\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[(49, 286)]$
3330.o2	3330n1	3330.o	3330n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.312682714$	$1$		$9$	$576$	$-0.093363$	$-219256227/59200$	$0.84143$	$2.82151$	$[1, -1, 1, -38, 117]$	\(y^2+xy+y=x^3-x^2-38x+117\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[(3, 3)]$
16650.u2	16650a1	16650.u	16650a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.829480105$	$1$		$7$	$13824$	$0.711355$	$-219256227/59200$	$0.84143$	$3.34780$	$[1, -1, 0, -942, 13716]$	\(y^2+xy=x^3-x^2-942x+13716\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[(4, 98)]$
16650.cd2	16650bn1	16650.cd	16650bn	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{6} \cdot 3^{9} \cdot 5^{8} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$41472$	$1.260662$	$-219256227/59200$	$0.84143$	$4.02594$	$[1, -1, 1, -8480, -361853]$	\(y^2+xy+y=x^3-x^2-8480x-361853\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[]$
26640.m2	26640u1	26640.m	26640u	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$2.487188886$	$1$		$5$	$13824$	$0.599784$	$-219256227/59200$	$0.84143$	$3.06200$	$[0, 0, 0, -603, -6902]$	\(y^2=x^3-603x-6902\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[(39, 170)]$
26640.bo2	26640z1	26640.bo	26640z	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$41472$	$1.149090$	$-219256227/59200$	$0.84143$	$3.70886$	$[0, 0, 0, -5427, 186354]$	\(y^2=x^3-5427x+186354\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[]$
106560.br2	106560dm1	106560.br	106560dm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{24} \cdot 3^{9} \cdot 5^{2} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$5.376682445$	$1$		$13$	$331776$	$1.495663$	$-219256227/59200$	$0.84143$	$3.62398$	$[0, 0, 0, -21708, 1490832]$	\(y^2=x^3-21708x+1490832\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[(82, 512), (69, 567)]$
106560.ca2	106560b1	106560.ca	106560b	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{24} \cdot 3^{9} \cdot 5^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$9.606604961$	$1$		$1$	$331776$	$1.495663$	$-219256227/59200$	$0.84143$	$3.62398$	$[0, 0, 0, -21708, -1490832]$	\(y^2=x^3-21708x-1490832\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[(51496/13, 9870940/13)]$
106560.ey2	106560o1	106560.ey	106560o	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$110592$	$0.946358$	$-219256227/59200$	$0.84143$	$3.05457$	$[0, 0, 0, -2412, 55216]$	\(y^2=x^3-2412x+55216\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[]$
106560.ff2	106560dv1	106560.ff	106560dv	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( - 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$5.838186446$	$1$		$3$	$110592$	$0.946358$	$-219256227/59200$	$0.84143$	$3.05457$	$[0, 0, 0, -2412, -55216]$	\(y^2=x^3-2412x-55216\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[(565, 13377)]$
123210.bl2	123210h1	123210.bl	123210h	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 37^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$787968$	$1.712095$	$-219256227/59200$	$0.84143$	$3.80066$	$[1, -1, 0, -51594, 5475508]$	\(y^2+xy=x^3-x^2-51594x+5475508\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[]$
123210.cm2	123210bx1	123210.cm	123210bx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 37^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$2363904$	$2.261402$	$-219256227/59200$	$0.84143$	$4.36301$	$[1, -1, 1, -464348, -147374369]$	\(y^2+xy+y=x^3-x^2-464348x-147374369\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[]$
133200.di2	133200er1	133200.di	133200er	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{18} \cdot 3^{3} \cdot 5^{8} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$331776$	$1.404503$	$-219256227/59200$	$0.84143$	$3.46273$	$[0, 0, 0, -15075, -862750]$	\(y^2=x^3-15075x-862750\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[]$
133200.dv2	133200es1	133200.dv	133200es	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{18} \cdot 3^{9} \cdot 5^{8} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$995328$	$1.953810$	$-219256227/59200$	$0.84143$	$4.02137$	$[0, 0, 0, -135675, 23294250]$	\(y^2=x^3-135675x+23294250\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[]$
163170.o2	163170fw1	163170.o	163170fw	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 7^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1.227347614$	$1$		$7$	$663552$	$1.428898$	$-219256227/59200$	$0.84143$	$3.42858$	$[1, -1, 0, -16620, 1002896]$	\(y^2+xy=x^3-x^2-16620x+1002896\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[(37, 643)]$
163170.gb2	163170ch1	163170.gb	163170ch	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1.659103113$	$1$		$7$	$221184$	$0.879592$	$-219256227/59200$	$0.84143$	$2.87939$	$[1, -1, 1, -1847, -36529]$	\(y^2+xy+y=x^3-x^2-1847x-36529\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[(121, 1164)]$
402930.r2	402930r1	402930.r	402930r	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 37 \)	\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$5.634811887$	$1$		$3$	$806400$	$1.105585$	$-219256227/59200$	$0.84143$	$2.88783$	$[1, -1, 0, -4560, -142400]$	\(y^2+xy=x^3-x^2-4560x-142400\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[(323/2, 517/2)]$
402930.ei2	402930ei1	402930.ei	402930ei	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 37 \)	\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$3.144109064$	$1$		$5$	$2419200$	$1.654890$	$-219256227/59200$	$0.84143$	$3.39856$	$[1, -1, 1, -41042, 3885841]$	\(y^2+xy+y=x^3-x^2-41042x+3885841\)	2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.?	$[(-131, 2711)]$