Elliptic curve search results

Results (25 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
1430.f3	1430g2	1430.f	1430g	$4$	$6$	\( 2 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{3} \cdot 5^{2} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$17160$	$96$	$1$	$1$	$1$		$4$	$1536$	$0.543697$	$7962857630209/4606058600$	$1.01501$	$4.08865$	$[1, 0, 0, -416, -104]$	\(y^2+xy=x^3-416x-104\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 104.6.0.?, 220.6.0.?, $\ldots$	$[ ]$
7150.m3	7150g2	7150.m	7150g	$4$	$6$	\( 2 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{3} \cdot 5^{8} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$1$	$1$		$0$	$36864$	$1.348415$	$7962857630209/4606058600$	$1.01501$	$4.43527$	$[1, 1, 0, -10400, -13000]$	\(y^2+xy=x^3+x^2-10400x-13000\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[ ]$
11440.u3	11440i2	11440.u	11440i	$4$	$6$	\( 2^{4} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{15} \cdot 5^{2} \cdot 11^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$2.842847080$	$1$		$3$	$36864$	$1.236845$	$7962857630209/4606058600$	$1.01501$	$4.06892$	$[0, -1, 0, -6656, 6656]$	\(y^2=x^3-x^2-6656x+6656\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 104.6.0.?, $\ldots$	$[(-80, 144)]$
12870.n3	12870w2	12870.n	12870w	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{2} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$17160$	$96$	$1$	$1$	$1$		$0$	$36864$	$1.093002$	$7962857630209/4606058600$	$1.01501$	$3.83587$	$[1, -1, 0, -3744, 2808]$	\(y^2+xy=x^3-x^2-3744x+2808\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 104.6.0.?, 220.6.0.?, $\ldots$	$[ ]$
15730.c3	15730f2	15730.c	15730f	$4$	$6$	\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{3} \cdot 5^{2} \cdot 11^{12} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$1$	$1$		$0$	$184320$	$1.742645$	$7962857630209/4606058600$	$1.01501$	$4.56294$	$[1, 0, 1, -50339, 88086]$	\(y^2+xy+y=x^3-50339x+88086\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 60.24.0-6.a.1.5, $\ldots$	$[ ]$
18590.b3	18590h2	18590.b	18590h	$4$	$6$	\( 2 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{3} \cdot 5^{2} \cdot 11^{6} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$1$	$1$		$0$	$258048$	$1.826172$	$7962857630209/4606058600$	$1.01501$	$4.58736$	$[1, 0, 1, -70308, -158182]$	\(y^2+xy+y=x^3-70308x-158182\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 39.8.0-3.a.1.1, $\ldots$	$[ ]$
45760.n3	45760bw2	45760.n	45760bw	$4$	$6$	\( 2^{6} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{21} \cdot 5^{2} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$1$	$1$		$1$	$294912$	$1.583418$	$7962857630209/4606058600$	$1.01501$	$3.93084$	$[0, 1, 0, -26625, 26623]$	\(y^2=x^3+x^2-26625x+26623\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 104.6.0.?, $\ldots$	$[ ]$
45760.br3	45760o2	45760.br	45760o	$4$	$6$	\( 2^{6} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{21} \cdot 5^{2} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$1$	$1$		$1$	$294912$	$1.583418$	$7962857630209/4606058600$	$1.01501$	$3.93084$	$[0, -1, 0, -26625, -26623]$	\(y^2=x^3-x^2-26625x-26623\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 78.24.0.?, $\ldots$	$[ ]$
57200.c3	57200bf2	57200.c	57200bf	$4$	$6$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{15} \cdot 5^{8} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$1$	$1$		$1$	$884736$	$2.041565$	$7962857630209/4606058600$	$1.01501$	$4.35264$	$[0, 1, 0, -166408, 499188]$	\(y^2=x^3+x^2-166408x+499188\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.4, 104.6.0.?, $\ldots$	$[ ]$
64350.fa3	64350dq2	64350.fa	64350dq	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{8} \cdot 11^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$3.197229558$	$1$		$2$	$884736$	$1.897722$	$7962857630209/4606058600$	$1.01501$	$4.15045$	$[1, -1, 1, -93605, 257397]$	\(y^2+xy+y=x^3-x^2-93605x+257397\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[(309, 720)]$
70070.ck3	70070ci2	70070.ck	70070ci	$4$	$6$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{3} \cdot 5^{2} \cdot 7^{6} \cdot 11^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$2.008134105$	$1$		$2$	$442368$	$1.516653$	$7962857630209/4606058600$	$1.01501$	$3.70891$	$[1, 1, 1, -20385, 15287]$	\(y^2+xy+y=x^3+x^2-20385x+15287\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[(-123, 886)]$
78650.db3	78650cm2	78650.db	78650cm	$4$	$6$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{3} \cdot 5^{8} \cdot 11^{12} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$1$	$1$		$0$	$4423680$	$2.547363$	$7962857630209/4606058600$	$1.01501$	$4.76811$	$[1, 1, 1, -1258463, 11010781]$	\(y^2+xy+y=x^3+x^2-1258463x+11010781\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 104.6.0.?, $\ldots$	$[ ]$
92950.cr3	92950bq2	92950.cr	92950bq	$4$	$6$	\( 2 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( 2^{3} \cdot 5^{8} \cdot 11^{6} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$1$	$1$		$0$	$6193152$	$2.630890$	$7962857630209/4606058600$	$1.01501$	$4.78610$	$[1, 1, 1, -1757688, -19772719]$	\(y^2+xy+y=x^3+x^2-1757688x-19772719\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 104.6.0.?, 120.24.0.?, $\ldots$	$[ ]$
102960.ev3	102960ew2	102960.ev	102960ew	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{15} \cdot 3^{6} \cdot 5^{2} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$1$	$1$		$1$	$884736$	$1.786150$	$7962857630209/4606058600$	$1.01501$	$3.86544$	$[0, 0, 0, -59907, -119806]$	\(y^2=x^3-59907x-119806\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 104.6.0.?, $\ldots$	$[ ]$
125840.cl3	125840bn2	125840.cl	125840bn	$4$	$6$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{15} \cdot 5^{2} \cdot 11^{12} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$11.76947142$	$1$		$1$	$4423680$	$2.435791$	$7962857630209/4606058600$	$1.01501$	$4.46325$	$[0, -1, 0, -805416, -5637520]$	\(y^2=x^3-x^2-805416x-5637520\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.12, 104.6.0.?, $\ldots$	$[(-4502662/71, 211393050/71)]$
141570.ev3	141570y2	141570.ev	141570y	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{2} \cdot 11^{12} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$5.681319582$	$1$		$0$	$4423680$	$2.291950$	$7962857630209/4606058600$	$1.01501$	$4.27340$	$[1, -1, 1, -453047, -2378329]$	\(y^2+xy+y=x^3-x^2-453047x-2378329\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 60.24.0-6.a.1.9, $\ldots$	$[(-3351/7, 1835632/7)]$
148720.bw3	148720x2	148720.bw	148720x	$4$	$6$	\( 2^{4} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{15} \cdot 5^{2} \cdot 11^{6} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$1$	$1$		$1$	$6193152$	$2.519318$	$7962857630209/4606058600$	$1.01501$	$4.48481$	$[0, -1, 0, -1124920, 10123632]$	\(y^2=x^3-x^2-1124920x+10123632\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.12, 104.6.0.?, $\ldots$	$[ ]$
167310.ej3	167310bu2	167310.ej	167310bu	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{3} \cdot 3^{6} \cdot 5^{2} \cdot 11^{6} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$1$	$1$		$0$	$6193152$	$2.375477$	$7962857630209/4606058600$	$1.01501$	$4.29738$	$[1, -1, 1, -632768, 4270907]$	\(y^2+xy+y=x^3-x^2-632768x+4270907\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 39.8.0-3.a.1.2, $\ldots$	$[ ]$
204490.bu3	204490d2	204490.bu	204490d	$4$	$6$	\( 2 \cdot 5 \cdot 11^{2} \cdot 13^{2} \)	\( 2^{3} \cdot 5^{2} \cdot 11^{12} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$1$	$1$		$0$	$30965760$	$3.025120$	$7962857630209/4606058600$	$1.01501$	$4.86437$	$[1, 0, 0, -8507210, 202032700]$	\(y^2+xy=x^3-8507210x+202032700\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 104.6.0.?, 120.24.0.?, $\ldots$	$[ ]$
228800.bc3	228800dw2	228800.bc	228800dw	$4$	$6$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{21} \cdot 5^{8} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$1$	$1$		$1$	$7077888$	$2.388138$	$7962857630209/4606058600$	$1.01501$	$4.20069$	$[0, 1, 0, -665633, -4659137]$	\(y^2=x^3+x^2-665633x-4659137\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 104.6.0.?, 120.24.0.?, $\ldots$	$[ ]$
228800.fl3	228800de2	228800.fl	228800de	$4$	$6$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{21} \cdot 5^{8} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$1$	$1$		$1$	$7077888$	$2.388138$	$7962857630209/4606058600$	$1.01501$	$4.20069$	$[0, -1, 0, -665633, 4659137]$	\(y^2=x^3-x^2-665633x+4659137\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 104.6.0.?, 120.24.0.?, $\ldots$	$[ ]$
350350.u3	350350u2	350350.u	350350u	$4$	$6$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{3} \cdot 5^{8} \cdot 7^{6} \cdot 11^{6} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$3.063992173$	$1$		$12$	$10616832$	$2.321373$	$7962857630209/4606058600$	$1.01501$	$3.99774$	$[1, 0, 1, -509626, 2930148]$	\(y^2+xy+y=x^3-509626x+2930148\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 104.6.0.?, 105.8.0.?, $\ldots$	$[(762, 7181), (1488, 49652)]$
411840.y3	411840y2	411840.y	411840y	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{21} \cdot 3^{6} \cdot 5^{2} \cdot 11^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$0.661050766$	$1$		$9$	$7077888$	$2.132725$	$7962857630209/4606058600$	$1.01501$	$3.77264$	$[0, 0, 0, -239628, 958448]$	\(y^2=x^3-239628x+958448\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 78.24.0.?, $\ldots$	$[(-194, 6336)]$
411840.fy3	411840fy2	411840.fy	411840fy	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{21} \cdot 3^{6} \cdot 5^{2} \cdot 11^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$17160$	$96$	$1$	$5.584202745$	$1$		$3$	$7077888$	$2.132725$	$7962857630209/4606058600$	$1.01501$	$3.77264$	$[0, 0, 0, -239628, -958448]$	\(y^2=x^3-239628x-958448\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 104.6.0.?, $\ldots$	$[(130434, 47106752)]$
413270.cx3	413270cx2	413270.cx	413270cx	$4$	$6$	\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \)	\( 2^{3} \cdot 5^{2} \cdot 11^{6} \cdot 13 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$291720$	$96$	$1$	$1$	$4$	$2$	$0$	$7077888$	$1.960304$	$7962857630209/4606058600$	$1.01501$	$3.61163$	$[1, 1, 1, -120230, -390725]$	\(y^2+xy+y=x^3+x^2-120230x-390725\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 51.8.0-3.a.1.2, 102.24.0.?, $\ldots$	$[ ]$

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