Elliptic curve search results

Results (27 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
1230.h4	1230h2	1230.h	1230h	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 41 \)	\( - 2^{6} \cdot 3^{12} \cdot 5 \cdot 41^{2} \)	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$2460$	$96$	$1$	$1.362170281$	$1$		$14$	$2304$	$0.882653$	$140859621945791/285872742720$	$0.97438$	$4.70821$	$[1, 0, 0, 1084, 21840]$	\(y^2+xy=x^3+1084x+21840\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 20.6.0.a.1, 60.48.0-60.o.1.16, $\ldots$	$[(-14, 70)]$
3690.g4	3690l2	3690.g	3690l	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 41 \)	\( - 2^{6} \cdot 3^{18} \cdot 5 \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$2460$	$96$	$1$	$1$	$1$		$0$	$18432$	$1.431959$	$140859621945791/285872742720$	$0.97438$	$4.88100$	$[1, -1, 0, 9756, -589680]$	\(y^2+xy=x^3-x^2+9756x-589680\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 20.6.0.a.1, 60.48.0-60.o.1.15, $\ldots$	$[ ]$
6150.k4	6150c2	6150.k	6150c	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 41 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{7} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2460$	$96$	$1$	$2.317560344$	$1$		$4$	$55296$	$1.687372$	$140859621945791/285872742720$	$0.97438$	$4.94652$	$[1, 1, 0, 27100, 2730000]$	\(y^2+xy=x^3+x^2+27100x+2730000\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 15.8.0-3.a.1.2, $\ldots$	$[(101, 2501)]$
9840.j4	9840l2	9840.j	9840l	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 41 \)	\( - 2^{18} \cdot 3^{12} \cdot 5 \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2460$	$96$	$1$	$1$	$4$	$2$	$1$	$55296$	$1.575800$	$140859621945791/285872742720$	$0.97438$	$4.54804$	$[0, -1, 0, 17344, -1397760]$	\(y^2=x^3-x^2+17344x-1397760\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 20.6.0.a.1, $\ldots$	$[ ]$
18450.ca4	18450bx2	18450.ca	18450bx	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 41 \)	\( - 2^{6} \cdot 3^{18} \cdot 5^{7} \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2460$	$96$	$1$	$1$	$1$		$0$	$442368$	$2.236679$	$140859621945791/285872742720$	$0.97438$	$5.06435$	$[1, -1, 1, 243895, -73466103]$	\(y^2+xy+y=x^3-x^2+243895x-73466103\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 15.8.0-3.a.1.1, $\ldots$	$[ ]$
29520.cc4	29520cf2	29520.cc	29520cf	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 41 \)	\( - 2^{18} \cdot 3^{18} \cdot 5 \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2460$	$96$	$1$	$7.971471750$	$1$		$1$	$442368$	$2.125107$	$140859621945791/285872742720$	$0.97438$	$4.70301$	$[0, 0, 0, 156093, 37583426]$	\(y^2=x^3+156093x+37583426\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 20.6.0.a.1, $\ldots$	$[(1975/3, 245098/3)]$
39360.y4	39360p2	39360.y	39360p	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 41 \)	\( - 2^{24} \cdot 3^{12} \cdot 5 \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4920$	$96$	$1$	$1$	$4$	$2$	$1$	$442368$	$1.922375$	$140859621945791/285872742720$	$0.97438$	$4.34521$	$[0, -1, 0, 69375, 11112705]$	\(y^2=x^3-x^2+69375x+11112705\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 24.24.0-6.a.1.11, $\ldots$	$[ ]$
39360.dg4	39360cx2	39360.dg	39360cx	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 41 \)	\( - 2^{24} \cdot 3^{12} \cdot 5 \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4920$	$96$	$1$	$1$	$1$		$1$	$442368$	$1.922375$	$140859621945791/285872742720$	$0.97438$	$4.34521$	$[0, 1, 0, 69375, -11112705]$	\(y^2=x^3+x^2+69375x-11112705\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 24.24.0-6.a.1.6, $\ldots$	$[ ]$
49200.cg4	49200df2	49200.cg	49200df	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 41 \)	\( - 2^{18} \cdot 3^{12} \cdot 5^{7} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2460$	$96$	$1$	$2.685458920$	$1$		$5$	$1327104$	$2.380520$	$140859621945791/285872742720$	$0.97438$	$4.76434$	$[0, 1, 0, 433592, -173852812]$	\(y^2=x^3+x^2+433592x-173852812\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 20.6.0.a.1, 60.48.0-60.o.1.1, $\ldots$	$[(692, 21402)]$
50430.t4	50430s2	50430.t	50430s	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 41^{2} \)	\( - 2^{6} \cdot 3^{12} \cdot 5 \cdot 41^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2460$	$96$	$1$	$1$	$4$	$2$	$0$	$3870720$	$2.739441$	$140859621945791/285872742720$	$0.97438$	$5.15123$	$[1, 1, 1, 1822169, 1499768093]$	\(y^2+xy+y=x^3+x^2+1822169x+1499768093\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 20.6.0.a.1, $\ldots$	$[ ]$
60270.v4	60270bd2	60270.v	60270bd	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 41 \)	\( - 2^{6} \cdot 3^{12} \cdot 5 \cdot 7^{6} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17220$	$96$	$1$	$1.790397314$	$1$		$4$	$663552$	$1.855608$	$140859621945791/285872742720$	$0.97438$	$4.10421$	$[1, 1, 1, 53115, -7438005]$	\(y^2+xy+y=x^3+x^2+53115x-7438005\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 21.8.0-3.a.1.1, $\ldots$	$[(295, 5684)]$
118080.c4	118080bv2	118080.c	118080bv	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 41 \)	\( - 2^{24} \cdot 3^{18} \cdot 5 \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4920$	$96$	$1$	$8.448791260$	$1$		$3$	$3538944$	$2.471680$	$140859621945791/285872742720$	$0.97438$	$4.50087$	$[0, 0, 0, 624372, -300667408]$	\(y^2=x^3+624372x-300667408\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 24.24.0-6.a.1.3, $\ldots$	$[(3496/3, 18676/3)]$
118080.cx4	118080ew2	118080.cx	118080ew	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 41 \)	\( - 2^{24} \cdot 3^{18} \cdot 5 \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4920$	$96$	$1$	$1$	$4$	$2$	$1$	$3538944$	$2.471680$	$140859621945791/285872742720$	$0.97438$	$4.50087$	$[0, 0, 0, 624372, 300667408]$	\(y^2=x^3+624372x+300667408\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 24.24.0-6.a.1.14, $\ldots$	$[ ]$
147600.d4	147600bb2	147600.d	147600bb	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \)	\( - 2^{18} \cdot 3^{18} \cdot 5^{7} \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2460$	$96$	$1$	$1$	$1$		$1$	$10616832$	$2.929825$	$140859621945791/285872742720$	$0.97438$	$4.87839$	$[0, 0, 0, 3902325, 4697928250]$	\(y^2=x^3+3902325x+4697928250\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 20.6.0.a.1, 60.48.0-60.o.1.2, $\ldots$	$[ ]$
148830.bj4	148830ct2	148830.bj	148830ct	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 41 \)	\( - 2^{6} \cdot 3^{12} \cdot 5 \cdot 11^{6} \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$27060$	$96$	$1$	$1$	$1$		$0$	$2488320$	$2.081600$	$140859621945791/285872742720$	$0.97438$	$4.02040$	$[1, 0, 1, 131161, -28937878]$	\(y^2+xy+y=x^3+131161x-28937878\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 33.8.0-3.a.1.2, $\ldots$	$[ ]$
151290.w4	151290bm2	151290.w	151290bm	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 41^{2} \)	\( - 2^{6} \cdot 3^{18} \cdot 5 \cdot 41^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2460$	$96$	$1$	$17.39473698$	$1$		$0$	$30965760$	$3.288746$	$140859621945791/285872742720$	$0.97438$	$5.22941$	$[1, -1, 0, 16399521, -40477338995]$	\(y^2+xy=x^3-x^2+16399521x-40477338995\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 20.6.0.a.1, $\ldots$	$[(4374721381/1260, 317491334303849/1260)]$
180810.v4	180810cr2	180810.v	180810cr	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 41 \)	\( - 2^{6} \cdot 3^{18} \cdot 5 \cdot 7^{6} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17220$	$96$	$1$	$2.668449627$	$1$		$2$	$5308416$	$2.404915$	$140859621945791/285872742720$	$0.97438$	$4.27626$	$[1, -1, 0, 478035, 201304165]$	\(y^2+xy=x^3-x^2+478035x+201304165\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 21.8.0-3.a.1.2, $\ldots$	$[(5042, 359099)]$
196800.a4	196800dn2	196800.a	196800dn	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 41 \)	\( - 2^{24} \cdot 3^{12} \cdot 5^{7} \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4920$	$96$	$1$	$1$	$1$		$1$	$10616832$	$2.727093$	$140859621945791/285872742720$	$0.97438$	$4.56369$	$[0, -1, 0, 1734367, -1392556863]$	\(y^2=x^3-x^2+1734367x-1392556863\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 24.24.0-6.a.1.5, $\ldots$	$[ ]$
196800.lb4	196800in2	196800.lb	196800in	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 41 \)	\( - 2^{24} \cdot 3^{12} \cdot 5^{7} \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4920$	$96$	$1$	$1$	$1$		$1$	$10616832$	$2.727093$	$140859621945791/285872742720$	$0.97438$	$4.56369$	$[0, 1, 0, 1734367, 1392556863]$	\(y^2=x^3+x^2+1734367x+1392556863\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 24.24.0-6.a.1.12, $\ldots$	$[ ]$
207870.bg4	207870bu2	207870.bg	207870bu	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 41 \)	\( - 2^{6} \cdot 3^{12} \cdot 5 \cdot 13^{6} \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$31980$	$96$	$1$	$1$	$1$		$0$	$4976640$	$2.165127$	$140859621945791/285872742720$	$0.97438$	$3.99256$	$[1, 0, 1, 183192, 47799286]$	\(y^2+xy+y=x^3+183192x+47799286\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 39.8.0-3.a.1.1, $\ldots$	$[ ]$
252150.o4	252150o2	252150.o	252150o	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 41^{2} \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{7} \cdot 41^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2460$	$96$	$1$	$1$	$1$		$0$	$92897280$	$3.544159$	$140859621945791/285872742720$	$0.97438$	$5.26106$	$[1, 0, 1, 45554224, 187379903198]$	\(y^2+xy+y=x^3+45554224x+187379903198\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.12, 20.6.0.a.1, $\ldots$	$[ ]$
301350.br4	301350br2	301350.br	301350br	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 41 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{7} \cdot 7^{6} \cdot 41^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17220$	$96$	$1$	$0.733453269$	$1$		$36$	$15925248$	$2.660328$	$140859621945791/285872742720$	$0.97438$	$4.34605$	$[1, 0, 1, 1327874, -932406352]$	\(y^2+xy+y=x^3+1327874x-932406352\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 60.24.0.o.1, $\ldots$	$[(1117, 43541), (1642, 74516)]$
355470.bu4	355470bu2	355470.bu	355470bu	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 41 \)	\( - 2^{6} \cdot 3^{12} \cdot 5 \cdot 17^{6} \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$41820$	$96$	$1$	$1$	$4$	$2$	$0$	$11943936$	$2.299259$	$140859621945791/285872742720$	$0.97438$	$3.95089$	$[1, 1, 1, 313270, 106986647]$	\(y^2+xy+y=x^3+x^2+313270x+106986647\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 51.8.0-3.a.1.2, $\ldots$	$[ ]$
403440.bo4	403440bo2	403440.bo	403440bo	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 41^{2} \)	\( - 2^{18} \cdot 3^{12} \cdot 5 \cdot 41^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2460$	$96$	$1$	$7.292307650$	$1$		$3$	$92897280$	$3.432587$	$140859621945791/285872742720$	$0.97438$	$4.96577$	$[0, 1, 0, 29154704, -95926848556]$	\(y^2=x^3+x^2+29154704x-95926848556\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 20.6.0.a.1, $\ldots$	$[(14972, 1922742)]$
444030.a4	444030a2	444030.a	444030a	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 41 \)	\( - 2^{6} \cdot 3^{12} \cdot 5 \cdot 19^{6} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$46740$	$96$	$1$	$5.374893913$	$1$		$0$	$16422912$	$2.354874$	$140859621945791/285872742720$	$0.97438$	$3.93463$	$[1, 1, 0, 391317, -149017923]$	\(y^2+xy=x^3+x^2+391317x-149017923\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 57.8.0-3.a.1.1, $\ldots$	$[(4143/2, 291831/2)]$
446490.gb4	446490gb2	446490.gb	446490gb	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \)	\( - 2^{6} \cdot 3^{18} \cdot 5 \cdot 11^{6} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$27060$	$96$	$1$	$7.104272433$	$1$		$2$	$19906560$	$2.630905$	$140859621945791/285872742720$	$0.97438$	$4.18758$	$[1, -1, 1, 1180453, 781322699]$	\(y^2+xy+y=x^3-x^2+1180453x+781322699\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 33.8.0-3.a.1.1, $\ldots$	$[(1189, 61572)]$
482160.hk4	482160hk2	482160.hk	482160hk	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 41 \)	\( - 2^{18} \cdot 3^{12} \cdot 5 \cdot 7^{6} \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17220$	$96$	$1$	$1$	$1$		$1$	$15925248$	$2.548756$	$140859621945791/285872742720$	$0.97438$	$4.08765$	$[0, 1, 0, 849840, 477731988]$	\(y^2=x^3+x^2+849840x+477731988\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 60.24.0.o.1, $\ldots$	$[ ]$

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