Elliptic curve search results

Results (12 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
11310.k4	11310k1	11310.k	11310k	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{20} \cdot 3^{3} \cdot 5 \cdot 13 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.12	2B	$45240$	$48$	$0$	$0.853630883$	$1$		$7$	$9600$	$0.744278$	$41102915774831/53367275520$	$0.96949$	$3.38194$	$[1, 0, 0, 719, -8215]$	\(y^2+xy=x^3+719x-8215\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(26, 155)]$
33930.j4	33930m1	33930.j	33930m	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{20} \cdot 3^{9} \cdot 5 \cdot 13 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$45240$	$48$	$0$	$1$	$4$	$2$	$1$	$76800$	$1.293585$	$41102915774831/53367275520$	$0.96949$	$3.65765$	$[1, -1, 0, 6471, 221805]$	\(y^2+xy=x^3-x^2+6471x+221805\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$	$[]$
56550.h4	56550d1	56550.h	56550d	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{20} \cdot 3^{3} \cdot 5^{7} \cdot 13 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$45240$	$48$	$0$	$1$	$4$	$2$	$1$	$230400$	$1.548998$	$41102915774831/53367275520$	$0.96949$	$3.76699$	$[1, 1, 0, 17975, -1026875]$	\(y^2+xy=x^3+x^2+17975x-1026875\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$	$[]$
90480.d4	90480u1	90480.d	90480u	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{32} \cdot 3^{3} \cdot 5 \cdot 13 \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$45240$	$48$	$0$	$23.94522936$	$1$		$5$	$230400$	$1.437426$	$41102915774831/53367275520$	$0.96949$	$3.49455$	$[0, -1, 0, 11504, 525760]$	\(y^2=x^3-x^2+11504x+525760\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(-31, 372), (81, 1408)]$
147030.be4	147030bn1	147030.be	147030bn	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 29 \)	\( - 2^{20} \cdot 3^{3} \cdot 5 \cdot 13^{7} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$45240$	$48$	$0$	$6.676991321$	$1$		$3$	$1612800$	$2.026752$	$41102915774831/53367275520$	$0.96949$	$3.94632$	$[1, 0, 1, 121507, -18169864]$	\(y^2+xy+y=x^3+121507x-18169864\)	2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 116.12.0.?, 120.12.0.?, $\ldots$	$[(572, 15159)]$
169650.eg4	169650ba1	169650.eg	169650ba	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{20} \cdot 3^{9} \cdot 5^{7} \cdot 13 \cdot 29 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$45240$	$48$	$0$	$2.990602930$	$1$		$9$	$1843200$	$2.098305$	$41102915774831/53367275520$	$0.96949$	$3.97072$	$[1, -1, 1, 161770, 27887397]$	\(y^2+xy+y=x^3-x^2+161770x+27887397\)	2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 3016.24.0.?, 11310.6.0.?, $\ldots$	$[(105, 6731)]$
271440.dk4	271440dk1	271440.dk	271440dk	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{32} \cdot 3^{9} \cdot 5 \cdot 13 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$45240$	$48$	$0$	$13.32535382$	$1$		$1$	$1843200$	$1.986732$	$41102915774831/53367275520$	$0.96949$	$3.71455$	$[0, 0, 0, 103533, -14299054]$	\(y^2=x^3+103533x-14299054\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$	$[(1833634/5, 2482979598/5)]$
327990.b4	327990b1	327990.b	327990b	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29^{2} \)	\( - 2^{20} \cdot 3^{3} \cdot 5 \cdot 13 \cdot 29^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$45240$	$48$	$0$	$20.17205672$	$1$		$1$	$8064000$	$2.427925$	$41102915774831/53367275520$	$0.96949$	$4.07605$	$[1, 1, 0, 604662, -201564972]$	\(y^2+xy=x^3+x^2+604662x-201564972\)	2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.2, 120.12.0.?, 232.12.0.?, $\ldots$	$[(571671821/109, 13639272459519/109)]$
361920.cj4	361920cj1	361920.cj	361920cj	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{38} \cdot 3^{3} \cdot 5 \cdot 13 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$45240$	$48$	$0$	$1$	$4$	$2$	$1$	$1843200$	$1.783998$	$41102915774831/53367275520$	$0.96949$	$3.44098$	$[0, -1, 0, 46015, -4252095]$	\(y^2=x^3-x^2+46015x-4252095\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 3016.24.0.?, $\ldots$	$[]$
361920.ez4	361920ez1	361920.ez	361920ez	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{38} \cdot 3^{3} \cdot 5 \cdot 13 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$45240$	$48$	$0$	$1$	$4$	$2$	$1$	$1843200$	$1.783998$	$41102915774831/53367275520$	$0.96949$	$3.44098$	$[0, 1, 0, 46015, 4252095]$	\(y^2=x^3+x^2+46015x+4252095\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 3016.24.0.?, $\ldots$	$[]$
441090.cx4	441090cx1	441090.cx	441090cx	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 29 \)	\( - 2^{20} \cdot 3^{9} \cdot 5 \cdot 13^{7} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$45240$	$48$	$0$	$1$	$1$		$1$	$12902400$	$2.576057$	$41102915774831/53367275520$	$0.96949$	$4.11991$	$[1, -1, 1, 1093567, 490586321]$	\(y^2+xy+y=x^3-x^2+1093567x+490586321\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 260.12.0.?, 312.12.0.?, $\ldots$	$[]$
452400.eg4	452400eg1	452400.eg	452400eg	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{32} \cdot 3^{3} \cdot 5^{7} \cdot 13 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$45240$	$48$	$0$	$1$	$4$	$2$	$1$	$5529600$	$2.242146$	$41102915774831/53367275520$	$0.96949$	$3.80420$	$[0, 1, 0, 287592, 66295188]$	\(y^2=x^3+x^2+287592x+66295188\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$	$[]$