Elliptic curve search results

Results (18 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
12138.u1	12138u1	12138.u	12138u	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{5} \cdot 7^{2} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$416160$	$2.341465$	$2280364702703/1560674304$	$1.00470$	$5.43604$	$[1, 1, 1, 523951, 62603183]$	\(y^2+xy+y=x^3+x^2+523951x+62603183\)	24.2.0.b.1	$[]$
12138.v1	12138y1	12138.v	12138y	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{5} \cdot 7^{2} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.063955257$	$1$		$14$	$24480$	$0.924860$	$2280364702703/1560674304$	$1.00470$	$3.62840$	$[1, 0, 0, 1813, 12849]$	\(y^2+xy=x^3+1813x+12849\)	24.2.0.b.1	$[(22, 241)]$
36414.f1	36414bo1	36414.f	36414bo	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{11} \cdot 7^{2} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$3329280$	$2.890774$	$2280364702703/1560674304$	$1.00470$	$5.49503$	$[1, -1, 0, 4715559, -1685570387]$	\(y^2+xy=x^3-x^2+4715559x-1685570387\)	24.2.0.b.1	$[]$
36414.bm1	36414w1	36414.bm	36414w	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{11} \cdot 7^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$195840$	$1.474165$	$2280364702703/1560674304$	$1.00470$	$3.87647$	$[1, -1, 0, 16317, -346923]$	\(y^2+xy=x^3-x^2+16317x-346923\)	24.2.0.b.1	$[]$
84966.de1	84966dg1	84966.de	84966dg	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{5} \cdot 7^{8} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.734404319$	$1$		$4$	$1175040$	$1.897816$	$2280364702703/1560674304$	$1.00470$	$4.03500$	$[1, 1, 1, 88836, -4318371]$	\(y^2+xy+y=x^3+x^2+88836x-4318371\)	24.2.0.b.1	$[(237, 5369)]$
84966.dq1	84966ee1	84966.dq	84966ee	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{5} \cdot 7^{8} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.210436612$	$1$		$10$	$19975680$	$3.314423$	$2280364702703/1560674304$	$1.00470$	$5.53273$	$[1, 0, 0, 25673598, -21395871036]$	\(y^2+xy=x^3+25673598x-21395871036\)	24.2.0.b.1	$[(17364, 2370366)]$
97104.e1	97104cf1	97104.e	97104cf	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{29} \cdot 3^{5} \cdot 7^{2} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$2.096586545$	$1$		$0$	$587520$	$1.618008$	$2280364702703/1560674304$	$1.00470$	$3.69569$	$[0, -1, 0, 29008, -822336]$	\(y^2=x^3-x^2+29008x-822336\)	24.2.0.b.1	$[(328/3, 14336/3)]$
97104.cv1	97104cn1	97104.cv	97104cn	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{29} \cdot 3^{5} \cdot 7^{2} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$9987840$	$3.034615$	$2280364702703/1560674304$	$1.00470$	$5.17600$	$[0, 1, 0, 8383216, -3989837292]$	\(y^2=x^3+x^2+8383216x-3989837292\)	24.2.0.b.1	$[]$
254898.s1	254898s1	254898.s	254898s	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{11} \cdot 7^{8} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$3.016797078$	$1$		$2$	$9400320$	$2.447121$	$2280364702703/1560674304$	$1.00470$	$4.20841$	$[1, -1, 0, 799524, 117395536]$	\(y^2+xy=x^3-x^2+799524x+117395536\)	24.2.0.b.1	$[(317, 19907)]$
254898.dg1	254898dg1	254898.dg	254898dg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{11} \cdot 7^{8} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$4$	$2$	$0$	$159805440$	$3.863728$	$2280364702703/1560674304$	$1.00470$	$5.57397$	$[1, -1, 0, 231062382, 577688517972]$	\(y^2+xy=x^3-x^2+231062382x+577688517972\)	24.2.0.b.1	$[]$
291312.o1	291312o1	291312.o	291312o	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{29} \cdot 3^{11} \cdot 7^{2} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$79902720$	$3.583920$	$2280364702703/1560674304$	$1.00470$	$5.24795$	$[0, 0, 0, 75448941, 107801055826]$	\(y^2=x^3+75448941x+107801055826\)	24.2.0.b.1	$[]$
291312.fn1	291312fn1	291312.fn	291312fn	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{29} \cdot 3^{11} \cdot 7^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$4700160$	$2.167313$	$2280364702703/1560674304$	$1.00470$	$3.89689$	$[0, 0, 0, 261069, 21942002]$	\(y^2=x^3+261069x+21942002\)	24.2.0.b.1	$[]$
303450.y1	303450y1	303450.y	303450y	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{5} \cdot 5^{6} \cdot 7^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$2643840$	$1.729578$	$2280364702703/1560674304$	$1.00470$	$3.46815$	$[1, 1, 0, 45325, 1606125]$	\(y^2+xy=x^3+x^2+45325x+1606125\)	24.2.0.b.1	$[]$
303450.cf1	303450cf1	303450.cf	303450cf	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{5} \cdot 5^{6} \cdot 7^{2} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$4.146237270$	$1$		$0$	$44945280$	$3.146187$	$2280364702703/1560674304$	$1.00470$	$4.81485$	$[1, 0, 1, 13098774, 7799200348]$	\(y^2+xy+y=x^3+13098774x+7799200348\)	24.2.0.b.1	$[(17147/2, 3005211/2)]$
388416.f1	388416f1	388416.f	388416f	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{35} \cdot 3^{5} \cdot 7^{2} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$32.55443472$	$1$		$0$	$79902720$	$3.381187$	$2280364702703/1560674304$	$1.00470$	$4.94161$	$[0, -1, 0, 33532863, -31952231199]$	\(y^2=x^3-x^2+33532863x-31952231199\)	24.2.0.b.1	$[(714067154337971/70403, 19096567945965347468428/70403)]$
388416.dt1	388416dt1	388416.dt	388416dt	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{35} \cdot 3^{5} \cdot 7^{2} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$11.26668086$	$1$		$0$	$4700160$	$1.964581$	$2280364702703/1560674304$	$1.00470$	$3.62075$	$[0, -1, 0, 116031, 6462657]$	\(y^2=x^3-x^2+116031x+6462657\)	24.2.0.b.1	$[(202616/5, 91278761/5)]$
388416.ew1	388416ew1	388416.ew	388416ew	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{35} \cdot 3^{5} \cdot 7^{2} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$79902720$	$3.381187$	$2280364702703/1560674304$	$1.00470$	$4.94161$	$[0, 1, 0, 33532863, 31952231199]$	\(y^2=x^3+x^2+33532863x+31952231199\)	24.2.0.b.1	$[]$
388416.ig1	388416ig1	388416.ig	388416ig	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{35} \cdot 3^{5} \cdot 7^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$4700160$	$1.964581$	$2280364702703/1560674304$	$1.00470$	$3.62075$	$[0, 1, 0, 116031, -6462657]$	\(y^2=x^3+x^2+116031x-6462657\)	24.2.0.b.1	$[]$