Elliptic curve search results

Results (19 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
5928.m4	5928h4	5928.m	5928h	$4$	$4$	\( 2^{3} \cdot 3 \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 13^{4} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$5928$	$48$	$0$	$1.278142403$	$1$		$5$	$23040$	$1.559969$	$-375718260235972/904469833683$	$0.96798$	$4.84979$	$[0, 1, 0, -15152, -1635792]$	\(y^2=x^3+x^2-15152x-1635792\)	2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 1976.24.0.?, $\ldots$	$[(172, 936)]$
11856.p4	11856f4	11856.p	11856f	$4$	$4$	\( 2^{4} \cdot 3 \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 13^{4} \cdot 19^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$5928$	$48$	$0$	$2.677714198$	$1$		$7$	$46080$	$1.559969$	$-375718260235972/904469833683$	$0.96798$	$4.49143$	$[0, -1, 0, -15152, 1635792]$	\(y^2=x^3-x^2-15152x+1635792\)	2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 1976.24.0.?, $\ldots$	$[(-42, 1482)]$
17784.c4	17784q4	17784.c	17784q	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 3^{11} \cdot 13^{4} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$5928$	$48$	$0$	$1$	$1$		$1$	$184320$	$2.109276$	$-375718260235972/904469833683$	$0.96798$	$4.97891$	$[0, 0, 0, -136371, 44030014]$	\(y^2=x^3-136371x+44030014\)	2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 1976.24.0.?, $\ldots$	$[ ]$
35568.l4	35568s3	35568.l	35568s	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 3^{11} \cdot 13^{4} \cdot 19^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$5928$	$48$	$0$	$1$	$1$		$3$	$368640$	$2.109276$	$-375718260235972/904469833683$	$0.96798$	$4.64958$	$[0, 0, 0, -136371, -44030014]$	\(y^2=x^3-136371x-44030014\)	2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 1976.24.0.?, $\ldots$	$[ ]$
47424.g4	47424o3	47424.g	47424o	$4$	$4$	\( 2^{6} \cdot 3 \cdot 13 \cdot 19 \)	\( - 2^{16} \cdot 3^{5} \cdot 13^{4} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$5928$	$48$	$0$	$1$	$1$		$1$	$368640$	$1.906542$	$-375718260235972/904469833683$	$0.96798$	$4.29940$	$[0, -1, 0, -60609, -13025727]$	\(y^2=x^3-x^2-60609x-13025727\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.3, 12.12.0.g.1, $\ldots$	$[ ]$
47424.cc4	47424cz3	47424.cc	47424cz	$4$	$4$	\( 2^{6} \cdot 3 \cdot 13 \cdot 19 \)	\( - 2^{16} \cdot 3^{5} \cdot 13^{4} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$5928$	$48$	$0$	$1.606027441$	$1$		$5$	$368640$	$1.906542$	$-375718260235972/904469833683$	$0.96798$	$4.29940$	$[0, 1, 0, -60609, 13025727]$	\(y^2=x^3+x^2-60609x+13025727\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.4, 12.12.0.g.1, $\ldots$	$[(42, 3249)]$
77064.q4	77064y3	77064.q	77064y	$4$	$4$	\( 2^{3} \cdot 3 \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 13^{10} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5928$	$48$	$0$	$1$	$1$		$1$	$3870720$	$2.842445$	$-375718260235972/904469833683$	$0.96798$	$5.11197$	$[0, 1, 0, -2560744, -3583592128]$	\(y^2=x^3+x^2-2560744x-3583592128\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.1, $\ldots$	$[ ]$
112632.k4	112632n3	112632.k	112632n	$4$	$4$	\( 2^{3} \cdot 3 \cdot 13 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 13^{4} \cdot 19^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5928$	$48$	$0$	$14.29013515$	$1$		$1$	$8294400$	$3.032188$	$-375718260235972/904469833683$	$0.96798$	$5.14095$	$[0, -1, 0, -5469992, 11187077628]$	\(y^2=x^3-x^2-5469992x+11187077628\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 76.12.0.?, $\ldots$	$[(51078606/85, 350543616696/85)]$
142272.fg4	142272ff3	142272.fg	142272ff	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( - 2^{16} \cdot 3^{11} \cdot 13^{4} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$5928$	$48$	$0$	$2.605115482$	$1$		$5$	$2949120$	$2.455849$	$-375718260235972/904469833683$	$0.96798$	$4.45685$	$[0, 0, 0, -545484, 352240112]$	\(y^2=x^3-545484x+352240112\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.3, 12.12.0.g.1, $\ldots$	$[(-899, 10773)]$
142272.fj4	142272bv4	142272.fj	142272bv	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( - 2^{16} \cdot 3^{11} \cdot 13^{4} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$5928$	$48$	$0$	$30.51913595$	$1$		$1$	$2949120$	$2.455849$	$-375718260235972/904469833683$	$0.96798$	$4.45685$	$[0, 0, 0, -545484, -352240112]$	\(y^2=x^3-545484x-352240112\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.4, 12.12.0.g.1, $\ldots$	$[(425025203765664/287213, 8660479116344737980740/287213)]$
148200.k4	148200bc4	148200.k	148200bc	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{6} \cdot 13^{4} \cdot 19^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$29640$	$48$	$0$	$29.78083162$	$1$		$5$	$2949120$	$2.364689$	$-375718260235972/904469833683$	$0.96798$	$4.34970$	$[0, -1, 0, -378808, -203716388]$	\(y^2=x^3-x^2-378808x-203716388\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$	$[(2022, 85400), (35734/3, 6661304/3)]$
154128.m4	154128db3	154128.m	154128db	$4$	$4$	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 13^{10} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5928$	$48$	$0$	$1.936429581$	$1$		$7$	$7741440$	$2.842445$	$-375718260235972/904469833683$	$0.96798$	$4.81535$	$[0, -1, 0, -2560744, 3583592128]$	\(y^2=x^3-x^2-2560744x+3583592128\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.2, $\ldots$	$[(126, 57122)]$
225264.cm4	225264ce4	225264.cm	225264ce	$4$	$4$	\( 2^{4} \cdot 3 \cdot 13 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 13^{4} \cdot 19^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5928$	$48$	$0$	$6.309455282$	$1$		$1$	$16588800$	$3.032188$	$-375718260235972/904469833683$	$0.96798$	$4.85182$	$[0, 1, 0, -5469992, -11187077628]$	\(y^2=x^3+x^2-5469992x-11187077628\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 76.12.0.?, $\ldots$	$[(2057926/5, 2950988724/5)]$
231192.bm4	231192bm3	231192.bm	231192bm	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{11} \cdot 13^{10} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5928$	$48$	$0$	$7.923577026$	$1$		$1$	$30965760$	$3.391750$	$-375718260235972/904469833683$	$0.96798$	$5.19096$	$[0, 0, 0, -23046699, 96733940758]$	\(y^2=x^3-23046699x+96733940758\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.1, $\ldots$	$[(686751/17, 1156242568/17)]$
290472.d4	290472d3	290472.d	290472d	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 7^{6} \cdot 13^{4} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$41496$	$48$	$0$	$1.943030957$	$1$		$3$	$8847360$	$2.532925$	$-375718260235972/904469833683$	$0.96798$	$4.27749$	$[0, -1, 0, -742464, 559591740]$	\(y^2=x^3-x^2-742464x+559591740\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 28.12.0-4.c.1.1, $\ldots$	$[(82, 22344)]$
296400.gb4	296400gb3	296400.gb	296400gb	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 5^{6} \cdot 13^{4} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$29640$	$48$	$0$	$0.771547130$	$1$		$7$	$5898240$	$2.364689$	$-375718260235972/904469833683$	$0.96798$	$4.11040$	$[0, 1, 0, -378808, 203716388]$	\(y^2=x^3+x^2-378808x+203716388\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.2, $\ldots$	$[(-322, 17100)]$
337896.i4	337896i4	337896.i	337896i	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{11} \cdot 13^{4} \cdot 19^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5928$	$48$	$0$	$16.26932059$	$1$		$1$	$66355200$	$3.581493$	$-375718260235972/904469833683$	$0.96798$	$5.21508$	$[0, 0, 0, -49229931, -302001866026]$	\(y^2=x^3-49229931x-302001866026\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 76.12.0.?, $\ldots$	$[(1689691774/431, 4229575615062/431)]$
444600.cj4	444600cj3	444600.cj	444600cj	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 3^{11} \cdot 5^{6} \cdot 13^{4} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$29640$	$48$	$0$	$1$	$1$		$1$	$23592960$	$2.913994$	$-375718260235972/904469833683$	$0.96798$	$4.48911$	$[0, 0, 0, -3409275, 5503751750]$	\(y^2=x^3-3409275x+5503751750\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$	$[ ]$
462384.es4	462384es4	462384.es	462384es	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{11} \cdot 13^{10} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5928$	$48$	$0$	$1$	$4$	$2$	$1$	$61931520$	$3.391750$	$-375718260235972/904469833683$	$0.96798$	$4.91512$	$[0, 0, 0, -23046699, -96733940758]$	\(y^2=x^3-23046699x-96733940758\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.2, $\ldots$	$[ ]$

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