Elliptic curve search results

Results (26 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	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
2760.i1	2760i1	2760.i	2760i	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 23 \)	\( - 2^{8} \cdot 3^{4} \cdot 5 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.181699752$	$1$		$6$	$768$	$0.098748$	$-3525581824/9315$	$[0, 1, 0, -201, 1035]$	\(y^2=x^3+x^2-201x+1035\)
5520.c1	5520b1	5520.c	5520b	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \)	\( - 2^{8} \cdot 3^{4} \cdot 5 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$1536$	$0.098748$	$-3525581824/9315$	$[0, -1, 0, -201, -1035]$	\(y^2=x^3-x^2-201x-1035\)
8280.u1	8280n1	8280.u	8280n	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{8} \cdot 3^{10} \cdot 5 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$6144$	$0.648054$	$-3525581824/9315$	$[0, 0, 0, -1812, -29756]$	\(y^2=x^3-1812x-29756\)
13800.a1	13800h1	13800.a	13800h	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{7} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.145070348$	$1$		$28$	$18432$	$0.903467$	$-3525581824/9315$	$[0, -1, 0, -5033, 139437]$	\(y^2=x^3-x^2-5033x+139437\)
16560.bg1	16560t1	16560.bg	16560t	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{8} \cdot 3^{10} \cdot 5 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1.393182567$	$1$		$2$	$12288$	$0.648054$	$-3525581824/9315$	$[0, 0, 0, -1812, 29756]$	\(y^2=x^3-1812x+29756\)
22080.bl1	22080p1	22080.bl	22080p	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 23 \)	\( - 2^{14} \cdot 3^{4} \cdot 5 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$12288$	$0.445322$	$-3525581824/9315$	$[0, -1, 0, -805, 9085]$	\(y^2=x^3-x^2-805x+9085\)
22080.cl1	22080db1	22080.cl	22080db	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 23 \)	\( - 2^{14} \cdot 3^{4} \cdot 5 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3.178374136$	$1$		$2$	$12288$	$0.445322$	$-3525581824/9315$	$[0, 1, 0, -805, -9085]$	\(y^2=x^3+x^2-805x-9085\)
27600.df1	27600w1	27600.df	27600w	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$36864$	$0.903467$	$-3525581824/9315$	$[0, 1, 0, -5033, -139437]$	\(y^2=x^3+x^2-5033x-139437\)
41400.l1	41400bt1	41400.l	41400bt	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{10} \cdot 5^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4.515584891$	$1$		$2$	$147456$	$1.452774$	$-3525581824/9315$	$[0, 0, 0, -45300, -3719500]$	\(y^2=x^3-45300x-3719500\)
63480.t1	63480w1	63480.t	63480w	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{4} \cdot 5 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3.852889725$	$1$		$2$	$405504$	$1.666496$	$-3525581824/9315$	$[0, 1, 0, -106505, -13444437]$	\(y^2=x^3+x^2-106505x-13444437\)
66240.o1	66240ep1	66240.o	66240ep	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{14} \cdot 3^{10} \cdot 5 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2.413502782$	$1$		$2$	$98304$	$0.994628$	$-3525581824/9315$	$[0, 0, 0, -7248, 238048]$	\(y^2=x^3-7248x+238048\)
66240.ct1	66240cb1	66240.ct	66240cb	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \)	\( - 2^{14} \cdot 3^{10} \cdot 5 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11.37908672$	$1$		$0$	$98304$	$0.994628$	$-3525581824/9315$	$[0, 0, 0, -7248, -238048]$	\(y^2=x^3-7248x-238048\)
82800.ew1	82800bm1	82800.ew	82800bm	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{10} \cdot 5^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2.909243246$	$1$		$2$	$294912$	$1.452774$	$-3525581824/9315$	$[0, 0, 0, -45300, 3719500]$	\(y^2=x^3-45300x+3719500\)
110400.dy1	110400fv1	110400.dy	110400fv	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 23 \)	\( - 2^{14} \cdot 3^{4} \cdot 5^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$294912$	$1.250040$	$-3525581824/9315$	$[0, -1, 0, -20133, -1095363]$	\(y^2=x^3-x^2-20133x-1095363\)
110400.fv1	110400eh1	110400.fv	110400eh	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 23 \)	\( - 2^{14} \cdot 3^{4} \cdot 5^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1.313502281$	$1$		$2$	$294912$	$1.250040$	$-3525581824/9315$	$[0, 1, 0, -20133, 1095363]$	\(y^2=x^3+x^2-20133x+1095363\)
126960.bp1	126960k1	126960.bp	126960k	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{4} \cdot 5 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1.175182471$	$1$		$2$	$811008$	$1.666496$	$-3525581824/9315$	$[0, -1, 0, -106505, 13444437]$	\(y^2=x^3-x^2-106505x+13444437\)
135240.t1	135240bb1	135240.t	135240bb	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{4} \cdot 5 \cdot 7^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$253440$	$1.071703$	$-3525581824/9315$	$[0, -1, 0, -9865, -374723]$	\(y^2=x^3-x^2-9865x-374723\)
190440.e1	190440bg1	190440.e	190440bg	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{10} \cdot 5 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.451224138$	$1$		$6$	$3244032$	$2.215801$	$-3525581824/9315$	$[0, 0, 0, -958548, 362041252]$	\(y^2=x^3-958548x+362041252\)
270480.ju1	270480ju1	270480.ju	270480ju	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{4} \cdot 5 \cdot 7^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3.094011046$	$1$		$2$	$506880$	$1.071703$	$-3525581824/9315$	$[0, 1, 0, -9865, 374723]$	\(y^2=x^3+x^2-9865x+374723\)
317400.bf1	317400bf1	317400.bf	317400bf	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{7} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$9732096$	$2.471214$	$-3525581824/9315$	$[0, -1, 0, -2662633, -1675229363]$	\(y^2=x^3-x^2-2662633x-1675229363\)
331200.bw1	331200bw1	331200.bw	331200bw	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$2359296$	$1.799347$	$-3525581824/9315$	$[0, 0, 0, -181200, -29756000]$	\(y^2=x^3-181200x-29756000\)
331200.pf1	331200pf1	331200.pf	331200pf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$2359296$	$1.799347$	$-3525581824/9315$	$[0, 0, 0, -181200, 29756000]$	\(y^2=x^3-181200x+29756000\)
333960.cg1	333960cg1	333960.cg	333960cg	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{4} \cdot 5 \cdot 11^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1.397507281$	$1$		$4$	$829440$	$1.297695$	$-3525581824/9315$	$[0, 1, 0, -24361, -1474981]$	\(y^2=x^3+x^2-24361x-1474981\)
380880.da1	380880da1	380880.da	380880da	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{10} \cdot 5 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34.57191081$	$1$		$0$	$6488064$	$2.215801$	$-3525581824/9315$	$[0, 0, 0, -958548, -362041252]$	\(y^2=x^3-958548x-362041252\)
405720.dm1	405720dm1	405720.dm	405720dm	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{10} \cdot 5 \cdot 7^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$2027520$	$1.621010$	$-3525581824/9315$	$[0, 0, 0, -88788, 10206308]$	\(y^2=x^3-88788x+10206308\)
466440.bz1	466440bz1	466440.bz	466440bz	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{4} \cdot 5 \cdot 13^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.546230641$	$1$		$4$	$1769472$	$1.381224$	$-3525581824/9315$	$[0, 1, 0, -34025, 2409915]$	\(y^2=x^3+x^2-34025x+2409915\)