Elliptic curve search results

Results (11 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
26520.x4	26520f3	26520.x	26520f	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13^{4} \cdot 17 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1768$	$48$	$0$	$1$	$1$		$3$	$73728$	$1.350779$	$9865576607324/79640206425$	$0.92059$	$3.86942$	$[0, 1, 0, 4504, -417120]$	\(y^2=x^3+x^2+4504x-417120\)	2.3.0.a.1, 4.12.0-4.c.1.1, 68.24.0-68.h.1.2, 104.24.0.?, 1768.48.0.?	$[]$
53040.l4	53040g3	53040.l	53040g	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1768$	$48$	$0$	$1.336797637$	$1$		$5$	$147456$	$1.350779$	$9865576607324/79640206425$	$0.92059$	$3.62288$	$[0, -1, 0, 4504, 417120]$	\(y^2=x^3-x^2+4504x+417120\)	2.3.0.a.1, 4.12.0-4.c.1.2, 68.24.0-68.h.1.1, 104.24.0.?, 1768.48.0.?	$[(-42, 390)]$
79560.bk4	79560bs3	79560.bk	79560bs	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{14} \cdot 5^{2} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$1.475253545$	$1$		$7$	$589824$	$1.900084$	$9865576607324/79640206425$	$0.92059$	$4.07685$	$[0, 0, 0, 40533, 11302774]$	\(y^2=x^3+40533x+11302774\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 68.12.0.h.1, 104.12.0.?, $\ldots$	$[(3, 3380)]$
132600.o4	132600u3	132600.o	132600u	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 13^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$1$	$4$	$2$	$1$	$1769472$	$2.155499$	$9865576607324/79640206425$	$0.92059$	$4.16014$	$[0, -1, 0, 112592, -52365188]$	\(y^2=x^3-x^2+112592x-52365188\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 68.12.0.h.1, 104.12.0.?, $\ldots$	$[]$
159120.du4	159120dg3	159120.du	159120dg	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{14} \cdot 5^{2} \cdot 13^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$1$	$1$		$1$	$1179648$	$1.900084$	$9865576607324/79640206425$	$0.92059$	$3.84092$	$[0, 0, 0, 40533, -11302774]$	\(y^2=x^3+40533x-11302774\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 68.12.0.h.1, 104.12.0.?, $\ldots$	$[]$
212160.cw4	212160gm3	212160.cw	212160gm	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{8} \cdot 5^{2} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1768$	$48$	$0$	$3.525783240$	$1$		$5$	$1179648$	$1.697351$	$9865576607324/79640206425$	$0.92059$	$3.55248$	$[0, -1, 0, 18015, -3354975]$	\(y^2=x^3-x^2+18015x-3354975\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 68.12.0.h.1, 104.24.0.?, $\ldots$	$[(192, 2673)]$
212160.gx4	212160r4	212160.gx	212160r	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{8} \cdot 5^{2} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1768$	$48$	$0$	$2.305438252$	$1$		$5$	$1179648$	$1.697351$	$9865576607324/79640206425$	$0.92059$	$3.55248$	$[0, 1, 0, 18015, 3354975]$	\(y^2=x^3+x^2+18015x+3354975\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 68.12.0.h.1, 104.24.0.?, $\ldots$	$[(-75, 1260)]$
265200.fi4	265200fi4	265200.fi	265200fi	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 13^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$3538944$	$2.155499$	$9865576607324/79640206425$	$0.92059$	$3.92923$	$[0, 1, 0, 112592, 52365188]$	\(y^2=x^3+x^2+112592x+52365188\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 68.12.0.h.1, 104.12.0.?, $\ldots$	$[]$
344760.cm4	344760cm3	344760.cm	344760cm	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13^{10} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1768$	$48$	$0$	$4.062499989$	$1$		$3$	$12386304$	$2.633251$	$9865576607324/79640206425$	$0.92059$	$4.29801$	$[0, 1, 0, 761120, -919457200]$	\(y^2=x^3+x^2+761120x-919457200\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.2, 68.12.0.h.1, $\ldots$	$[(1160, 39060)]$
397800.cb4	397800cb4	397800.cb	397800cb	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{14} \cdot 5^{8} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$4.733499132$	$1$		$3$	$14155776$	$2.704803$	$9865576607324/79640206425$	$0.92059$	$4.31690$	$[0, 0, 0, 1013325, 1412846750]$	\(y^2=x^3+1013325x+1412846750\)	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 68.12.0.h.1, 104.12.0.?, $\ldots$	$[(2086, 112266)]$
450840.x4	450840x3	450840.x	450840x	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13^{4} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1768$	$48$	$0$	$2.389423145$	$1$		$3$	$21233664$	$2.767384$	$9865576607324/79640206425$	$0.92059$	$4.33309$	$[0, -1, 0, 1301560, -2057120100]$	\(y^2=x^3-x^2+1301560x-2057120100\)	2.3.0.a.1, 4.12.0-4.c.1.2, 68.24.0-68.h.1.1, 104.24.0.?, 1768.48.0.?	$[(6466, 525980)]$