Elliptic curve search results

Results (20 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
31200.bb1	31200bs1	31200.bb	31200bs	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$2.499031728$	$1$		$2$	$129600$	$1.616077$	$261568120/10024911$	$0.97986$	$4.12381$	$[0, -1, 0, 7792, 2135412]$	\(y^2=x^3-x^2+7792x+2135412\)	312.2.0.?	$[(-108, 150)]$
31200.bc1	31200j1	31200.bc	31200j	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$25920$	$0.811358$	$261568120/10024911$	$0.97986$	$3.19064$	$[0, -1, 0, 312, -17208]$	\(y^2=x^3-x^2+312x-17208\)	312.2.0.?	$[]$
31200.bi1	31200ci1	31200.bi	31200ci	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$129600$	$1.616077$	$261568120/10024911$	$0.97986$	$4.12381$	$[0, 1, 0, 7792, -2135412]$	\(y^2=x^3+x^2+7792x-2135412\)	312.2.0.?	$[]$
31200.bj1	31200y1	31200.bj	31200y	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.240128760$	$1$		$4$	$25920$	$0.811358$	$261568120/10024911$	$0.97986$	$3.19064$	$[0, 1, 0, 312, 17208]$	\(y^2=x^3+x^2+312x+17208\)	312.2.0.?	$[(-18, 78)]$
62400.k1	62400el1	62400.k	62400el	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$103680$	$1.157932$	$261568120/10024911$	$0.97986$	$3.36700$	$[0, -1, 0, 1247, 136417]$	\(y^2=x^3-x^2+1247x+136417\)	312.2.0.?	$[]$
62400.n1	62400fx1	62400.n	62400fx	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{3} \cdot 5^{8} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$518400$	$1.962650$	$261568120/10024911$	$0.97986$	$4.24159$	$[0, -1, 0, 31167, -17114463]$	\(y^2=x^3-x^2+31167x-17114463\)	312.2.0.?	$[]$
62400.ht1	62400gr1	62400.ht	62400gr	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$2.170069254$	$1$		$2$	$103680$	$1.157932$	$261568120/10024911$	$0.97986$	$3.36700$	$[0, 1, 0, 1247, -136417]$	\(y^2=x^3+x^2+1247x-136417\)	312.2.0.?	$[(47, 168)]$
62400.hy1	62400if1	62400.hy	62400if	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{3} \cdot 5^{8} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.640424912$	$1$		$6$	$518400$	$1.962650$	$261568120/10024911$	$0.97986$	$4.24159$	$[0, 1, 0, 31167, 17114463]$	\(y^2=x^3+x^2+31167x+17114463\)	312.2.0.?	$[(-21, 4056)]$
93600.j1	93600ch1	93600.j	93600ch	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{8} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$6.135159274$	$1$		$0$	$1036800$	$2.165382$	$261568120/10024911$	$0.97986$	$4.30388$	$[0, 0, 0, 70125, 57726250]$	\(y^2=x^3+70125x+57726250\)	312.2.0.?	$[(1649/2, 100143/2)]$
93600.l1	93600ep1	93600.l	93600ep	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{2} \cdot 13^{5} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.893676886$	$1$		$12$	$207360$	$1.360664$	$261568120/10024911$	$0.97986$	$3.46027$	$[0, 0, 0, 2805, -461810]$	\(y^2=x^3+2805x-461810\)	312.2.0.?	$[(209, 3042), (329/2, 4563/2)]$
93600.es1	93600cg1	93600.es	93600cg	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{8} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$15.83218881$	$1$		$0$	$1036800$	$2.165382$	$261568120/10024911$	$0.97986$	$4.30388$	$[0, 0, 0, 70125, -57726250]$	\(y^2=x^3+70125x-57726250\)	312.2.0.?	$[(12407681/101, 44038999546/101)]$
93600.eu1	93600em1	93600.eu	93600em	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{2} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$207360$	$1.360664$	$261568120/10024911$	$0.97986$	$3.46027$	$[0, 0, 0, 2805, 461810]$	\(y^2=x^3+2805x+461810\)	312.2.0.?	$[]$
187200.z1	187200cq1	187200.z	187200cq	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$2.982871581$	$1$		$2$	$829440$	$1.707237$	$261568120/10024911$	$0.97986$	$3.60528$	$[0, 0, 0, 11220, -3694480]$	\(y^2=x^3+11220x-3694480\)	312.2.0.?	$[(166, 1656)]$
187200.bb1	187200g1	187200.bb	187200g	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{9} \cdot 5^{8} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.298204417$	$1$		$6$	$4147200$	$2.511955$	$261568120/10024911$	$0.97986$	$4.40072$	$[0, 0, 0, 280500, 461810000]$	\(y^2=x^3+280500x+461810000\)	312.2.0.?	$[(250, 23400)]$
187200.pi1	187200gg1	187200.pi	187200gg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$3.665657324$	$1$		$2$	$829440$	$1.707237$	$261568120/10024911$	$0.97986$	$3.60528$	$[0, 0, 0, 11220, 3694480]$	\(y^2=x^3+11220x+3694480\)	312.2.0.?	$[(416, 8964)]$
187200.pm1	187200bz1	187200.pm	187200bz	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{9} \cdot 5^{8} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.897016154$	$1$		$2$	$4147200$	$2.511955$	$261568120/10024911$	$0.97986$	$4.40072$	$[0, 0, 0, 280500, -461810000]$	\(y^2=x^3+280500x-461810000\)	312.2.0.?	$[(1700, 70200)]$
405600.i1	405600i1	405600.i	405600i	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 13^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$4354560$	$2.093834$	$261568120/10024911$	$0.97986$	$3.74867$	$[0, -1, 0, 52672, -37595208]$	\(y^2=x^3-x^2+52672x-37595208\)	312.2.0.?	$[]$
405600.j1	405600j1	405600.j	405600j	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 13^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$21772800$	$2.898552$	$261568120/10024911$	$0.97986$	$4.49648$	$[0, -1, 0, 1316792, 4696767412]$	\(y^2=x^3-x^2+1316792x+4696767412\)	312.2.0.?	$[]$
405600.gx1	405600gx1	405600.gx	405600gx	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 13^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$17.56808557$	$1$		$0$	$21772800$	$2.898552$	$261568120/10024911$	$0.97986$	$4.49648$	$[0, 1, 0, 1316792, -4696767412]$	\(y^2=x^3+x^2+1316792x-4696767412\)	312.2.0.?	$[(25512745619/1661, 4094524149678924/1661)]$
405600.gy1	405600gy1	405600.gy	405600gy	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 13^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$5.475945755$	$1$		$0$	$4354560$	$2.093834$	$261568120/10024911$	$0.97986$	$3.74867$	$[0, 1, 0, 52672, 37595208]$	\(y^2=x^3+x^2+52672x+37595208\)	312.2.0.?	$[(3286/3, 277498/3)]$