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
24990.q1	24990p2	24990.q	24990p	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{3} \cdot 7^{10} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$14280$	$16$	$0$	$1$	$1$		$0$	$653184$	$2.224350$	$-9966659429209/8489664000$	$0.95532$	$4.96674$	$[1, 1, 0, -294172, 96431056]$	\(y^2+xy=x^3+x^2-294172x+96431056\)	3.4.0.a.1, 21.8.0-3.a.1.2, 2040.8.0.?, 14280.16.0.?	$[]$
24990.bd1	24990r2	24990.bd	24990r	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{3} \cdot 7^{4} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$2040$	$16$	$0$	$1$	$1$		$0$	$93312$	$1.251394$	$-9966659429209/8489664000$	$0.95532$	$3.81375$	$[1, 0, 1, -6004, -281998]$	\(y^2+xy+y=x^3-6004x-281998\)	3.8.0-3.a.1.1, 2040.16.0.?	$[]$
74970.cb1	74970cr2	74970.cb	74970cr	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{3} \cdot 7^{10} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$14280$	$16$	$0$	$1$	$1$		$0$	$5225472$	$2.773655$	$-9966659429209/8489664000$	$0.95532$	$5.06787$	$[1, -1, 1, -2647553, -2606286063]$	\(y^2+xy+y=x^3-x^2-2647553x-2606286063\)	3.4.0.a.1, 21.8.0-3.a.1.1, 2040.8.0.?, 14280.16.0.?	$[]$
74970.cy1	74970de2	74970.cy	74970de	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{3} \cdot 7^{4} \cdot 17^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$2040$	$16$	$0$	$0.254746331$	$1$		$20$	$746496$	$1.800701$	$-9966659429209/8489664000$	$0.95532$	$4.02772$	$[1, -1, 1, -54032, 7613939]$	\(y^2+xy+y=x^3-x^2-54032x+7613939\)	3.8.0-3.a.1.2, 2040.16.0.?	$[(177, 1801)]$
124950.gv1	124950eq2	124950.gv	124950eq	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{9} \cdot 7^{4} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2040$	$16$	$0$	$0.842736773$	$1$		$4$	$2239488$	$2.056114$	$-9966659429209/8489664000$	$0.95532$	$4.11357$	$[1, 1, 1, -150088, -35249719]$	\(y^2+xy+y=x^3+x^2-150088x-35249719\)	3.4.0.a.1, 15.8.0-3.a.1.1, 408.8.0.?, 2040.16.0.?	$[(505, 3997)]$
124950.jg1	124950hu2	124950.jg	124950hu	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{9} \cdot 7^{10} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$14280$	$16$	$0$	$1$	$1$		$0$	$15676416$	$3.029068$	$-9966659429209/8489664000$	$0.95532$	$5.10844$	$[1, 0, 0, -7354313, 12068590617]$	\(y^2+xy=x^3-7354313x+12068590617\)	3.4.0.a.1, 105.8.0.?, 2040.8.0.?, 2856.8.0.?, 14280.16.0.?	$[]$
199920.a1	199920ee2	199920.a	199920ee	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{21} \cdot 3^{3} \cdot 5^{3} \cdot 7^{4} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2040$	$16$	$0$	$1$	$1$		$0$	$2239488$	$1.944542$	$-9966659429209/8489664000$	$0.95532$	$3.84548$	$[0, -1, 0, -96056, 18047856]$	\(y^2=x^3-x^2-96056x+18047856\)	3.4.0.a.1, 12.8.0-3.a.1.2, 2040.16.0.?	$[]$
199920.fw1	199920a2	199920.fw	199920a	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \)	\( - 2^{21} \cdot 3^{3} \cdot 5^{3} \cdot 7^{10} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$14280$	$16$	$0$	$1$	$1$		$0$	$15676416$	$2.917496$	$-9966659429209/8489664000$	$0.95532$	$4.80204$	$[0, 1, 0, -4706760, -6181001100]$	\(y^2=x^3+x^2-4706760x-6181001100\)	3.4.0.a.1, 84.8.0.?, 2040.8.0.?, 14280.16.0.?	$[]$
374850.c1	374850c2	374850.c	374850c	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{9} \cdot 7^{10} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$14280$	$16$	$0$	$1$	$1$		$0$	$125411328$	$3.578377$	$-9966659429209/8489664000$	$0.95532$	$5.18476$	$[1, -1, 0, -66188817, -325851946659]$	\(y^2+xy=x^3-x^2-66188817x-325851946659\)	3.4.0.a.1, 105.8.0.?, 2040.8.0.?, 2856.8.0.?, 14280.16.0.?	$[]$
374850.d1	374850d2	374850.d	374850d	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{9} \cdot 7^{4} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2040$	$16$	$0$	$1$	$1$		$0$	$17915904$	$2.605419$	$-9966659429209/8489664000$	$0.95532$	$4.27505$	$[1, -1, 0, -1350792, 950391616]$	\(y^2+xy=x^3-x^2-1350792x+950391616\)	3.4.0.a.1, 15.8.0-3.a.1.2, 408.8.0.?, 2040.16.0.?	$[]$
424830.bc1	424830bc2	424830.bc	424830bc	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{3} \cdot 7^{4} \cdot 17^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2040$	$16$	$0$	$1$	$1$		$0$	$26873856$	$2.668003$	$-9966659429209/8489664000$	$0.95532$	$4.29171$	$[1, 1, 0, -1735017, -1383719931]$	\(y^2+xy=x^3+x^2-1735017x-1383719931\)	3.4.0.a.1, 51.8.0-3.a.1.1, 120.8.0.?, 2040.16.0.?	$[]$
424830.ci1	424830ci2	424830.ci	424830ci	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{9} \cdot 3^{3} \cdot 5^{3} \cdot 7^{10} \cdot 17^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$14280$	$16$	$0$	$6.689926009$	$1$		$0$	$188116992$	$3.640957$	$-9966659429209/8489664000$	$0.95532$	$5.19263$	$[1, 0, 1, -85015859, 474360888782]$	\(y^2+xy+y=x^3-85015859x+474360888782\)	3.4.0.a.1, 357.8.0.?, 840.8.0.?, 2040.8.0.?, 14280.16.0.?	$[(-100851/4, 55988785/4)]$