Elliptic curve search results

Results (28 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
1950.c2	1950e1	1950.c	1950e	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 5^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$0.646365171$	$1$		$7$	$384$	$-0.042709$	$54439939/32448$	$0.97759$	$2.98867$	$[1, 1, 0, 40, 0]$	\(y^2+xy=x^3+x^2+40x\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(1, 6)]$
1950.z2	1950ba1	1950.z	1950ba	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 5^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$1920$	$0.762010$	$54439939/32448$	$0.97759$	$4.26337$	$[1, 0, 0, 987, -1983]$	\(y^2+xy=x^3+987x-1983\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[]$
5850.t2	5850u1	5850.t	5850u	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$0.968381775$	$1$		$7$	$15360$	$1.311316$	$54439939/32448$	$0.97759$	$4.48332$	$[1, -1, 0, 8883, 53541]$	\(y^2+xy=x^3-x^2+8883x+53541\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(18, 459)]$
5850.bj2	5850cb1	5850.bj	5850cb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$0.527568999$	$1$		$9$	$3072$	$0.506597$	$54439939/32448$	$0.97759$	$3.37006$	$[1, -1, 1, 355, 357]$	\(y^2+xy+y=x^3-x^2+355x+357\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(9, 60)]$
15600.f2	15600bs1	15600.f	15600bs	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{18} \cdot 3 \cdot 5^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$2.652537503$	$1$		$5$	$46080$	$1.455156$	$54439939/32448$	$0.97759$	$4.20665$	$[0, -1, 0, 15792, 126912]$	\(y^2=x^3-x^2+15792x+126912\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(56, 1088)]$
15600.cs2	15600cv1	15600.cs	15600cv	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{18} \cdot 3 \cdot 5^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$2.109938517$	$1$		$3$	$9216$	$0.650437$	$54439939/32448$	$0.97759$	$3.20648$	$[0, 1, 0, 632, 1268]$	\(y^2=x^3+x^2+632x+1268\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(7, 78)]$
25350.bb2	25350br1	25350.bb	25350br	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{6} \cdot 3 \cdot 5^{9} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$12.19722382$	$1$		$1$	$322560$	$2.044483$	$54439939/32448$	$0.97759$	$4.70264$	$[1, 0, 1, 166799, -4523452]$	\(y^2+xy+y=x^3+166799x-4523452\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(417132/77, 1239063671/77)]$
25350.ci2	25350cg1	25350.ci	25350cg	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{6} \cdot 3 \cdot 5^{3} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$3.091532822$	$1$		$5$	$64512$	$1.239765$	$54439939/32448$	$0.97759$	$3.75036$	$[1, 1, 1, 6672, -33519]$	\(y^2+xy+y=x^3+x^2+6672x-33519\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(15, 257)]$
46800.bq2	46800et1	46800.bq	46800et	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{18} \cdot 3^{7} \cdot 5^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$368640$	$2.004463$	$54439939/32448$	$0.97759$	$4.38986$	$[0, 0, 0, 142125, -3568750]$	\(y^2=x^3+142125x-3568750\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[]$
46800.eg2	46800fj1	46800.eg	46800fj	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{18} \cdot 3^{7} \cdot 5^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1.084041463$	$1$		$9$	$73728$	$1.199743$	$54439939/32448$	$0.97759$	$3.49188$	$[0, 0, 0, 5685, -28550]$	\(y^2=x^3+5685x-28550\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(69, 832)]$
62400.dn2	62400bv1	62400.dn	62400bv	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{24} \cdot 3 \cdot 5^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$6.347283299$	$1$		$1$	$368640$	$1.801731$	$54439939/32448$	$0.97759$	$4.05515$	$[0, -1, 0, 63167, -1078463]$	\(y^2=x^3-x^2+63167x-1078463\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(1437/2, 65897/2)]$
62400.dt2	62400fn1	62400.dt	62400fn	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{24} \cdot 3 \cdot 5^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$2.511304711$	$1$		$5$	$73728$	$0.997011$	$54439939/32448$	$0.97759$	$3.18056$	$[0, -1, 0, 2527, 7617]$	\(y^2=x^3-x^2+2527x+7617\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(7, 160)]$
62400.en2	62400dk1	62400.en	62400dk	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{24} \cdot 3 \cdot 5^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$3.312865120$	$1$		$3$	$73728$	$0.997011$	$54439939/32448$	$0.97759$	$3.18056$	$[0, 1, 0, 2527, -7617]$	\(y^2=x^3+x^2+2527x-7617\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(93, 1020)]$
62400.ev2	62400id1	62400.ev	62400id	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{24} \cdot 3 \cdot 5^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$7.571872997$	$1$		$1$	$368640$	$1.801731$	$54439939/32448$	$0.97759$	$4.05515$	$[0, 1, 0, 63167, 1078463]$	\(y^2=x^3+x^2+63167x+1078463\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(6493/2, 529659/2)]$
76050.cl2	76050co1	76050.cl	76050co	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$5.789048240$	$1$		$3$	$516096$	$1.789072$	$54439939/32448$	$0.97759$	$3.97026$	$[1, -1, 0, 60048, 965056]$	\(y^2+xy=x^3-x^2+60048x+965056\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(1944, 85408)]$
76050.ec2	76050fx1	76050.ec	76050fx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{9} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$2580480$	$2.593792$	$54439939/32448$	$0.97759$	$4.82945$	$[1, -1, 1, 1501195, 122133197]$	\(y^2+xy+y=x^3-x^2+1501195x+122133197\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[]$
95550.fe2	95550fe1	95550.fe	95550fe	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 5^{3} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$138240$	$0.930245$	$54439939/32448$	$0.97759$	$2.99252$	$[1, 0, 1, 1934, 5828]$	\(y^2+xy+y=x^3+1934x+5828\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[]$
95550.hv2	95550ih1	95550.hv	95550ih	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 5^{9} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$3.200340442$	$1$		$5$	$691200$	$1.734964$	$54439939/32448$	$0.97759$	$3.83461$	$[1, 1, 1, 48362, 728531]$	\(y^2+xy+y=x^3+x^2+48362x+728531\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(-11, 447)]$
187200.ea2	187200q1	187200.ea	187200q	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{24} \cdot 3^{7} \cdot 5^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$2.422124035$	$1$		$5$	$2949120$	$2.351036$	$54439939/32448$	$0.97759$	$4.23115$	$[0, 0, 0, 568500, -28550000]$	\(y^2=x^3+568500x-28550000\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(300, 13000)]$
187200.et2	187200iz1	187200.et	187200iz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{24} \cdot 3^{7} \cdot 5^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1.603014787$	$1$		$5$	$589824$	$1.546318$	$54439939/32448$	$0.97759$	$3.43571$	$[0, 0, 0, 22740, 228400]$	\(y^2=x^3+22740x+228400\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(5, 585)]$
187200.lu2	187200bp1	187200.lu	187200bp	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{24} \cdot 3^{7} \cdot 5^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$589824$	$1.546318$	$54439939/32448$	$0.97759$	$3.43571$	$[0, 0, 0, 22740, -228400]$	\(y^2=x^3+22740x-228400\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[]$
187200.mq2	187200ka1	187200.mq	187200ka	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{24} \cdot 3^{7} \cdot 5^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$4$	$2$	$1$	$2949120$	$2.351036$	$54439939/32448$	$0.97759$	$4.23115$	$[0, 0, 0, 568500, 28550000]$	\(y^2=x^3+568500x+28550000\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[]$
202800.el2	202800ef1	202800.el	202800ef	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{18} \cdot 3 \cdot 5^{9} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$19.44199144$	$1$		$1$	$7741440$	$2.737633$	$54439939/32448$	$0.97759$	$4.58307$	$[0, -1, 0, 2668792, 289500912]$	\(y^2=x^3-x^2+2668792x+289500912\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(918196549/1363, 105290517152626/1363)]$
202800.gx2	202800j1	202800.gx	202800j	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{18} \cdot 3 \cdot 5^{3} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$4$	$2$	$1$	$1548288$	$1.932913$	$54439939/32448$	$0.97759$	$3.79284$	$[0, 1, 0, 106752, 2358708]$	\(y^2=x^3+x^2+106752x+2358708\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[]$
235950.cv2	235950cv1	235950.cv	235950cv	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 5^{9} \cdot 11^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$8.147926129$	$1$		$3$	$2688000$	$1.960957$	$54439939/32448$	$0.97759$	$3.77362$	$[1, 0, 1, 119424, 2758798]$	\(y^2+xy+y=x^3+119424x+2758798\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(12298, 1358207)]$
235950.gf2	235950gf1	235950.gf	235950gf	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{6} \cdot 3 \cdot 5^{3} \cdot 11^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$537600$	$1.156239$	$54439939/32448$	$0.97759$	$2.99306$	$[1, 1, 1, 4777, 23981]$	\(y^2+xy+y=x^3+x^2+4777x+23981\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[]$
286650.ct2	286650ct1	286650.ct	286650ct	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{9} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$4.708868761$	$1$		$3$	$5529600$	$2.284271$	$54439939/32448$	$0.97759$	$4.02392$	$[1, -1, 0, 435258, -19235084]$	\(y^2+xy=x^3-x^2+435258x-19235084\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(773, 27518)]$
286650.la2	286650la1	286650.la	286650la	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$120$	$12$	$0$	$0.753324452$	$1$		$9$	$1105920$	$1.479551$	$54439939/32448$	$0.97759$	$3.25545$	$[1, -1, 1, 17410, -157363]$	\(y^2+xy+y=x^3-x^2+17410x-157363\)	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(69, 1135)]$