Elliptic curve search results

Results (15 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
19320.l2	19320t2	19320.l	19320t	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$3220$	$48$	$0$	$0.534384918$	$1$		$17$	$36864$	$1.194881$	$157267580823376/32806265625$	$0.90138$	$3.87421$	$[0, -1, 0, -7140, 188100]$	\(y^2=x^3-x^2-7140x+188100\)	2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.1, 644.24.0.?, 3220.48.0.?	$[(80, 350)]$
38640.cr2	38640x2	38640.cr	38640x	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$3220$	$48$	$0$	$1.123478850$	$1$		$11$	$73728$	$1.194881$	$157267580823376/32806265625$	$0.90138$	$3.61996$	$[0, 1, 0, -7140, -188100]$	\(y^2=x^3+x^2-7140x-188100\)	2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 644.24.0.?, 3220.48.0.?	$[(-45, 210)]$
57960.s2	57960p2	57960.s	57960p	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$9660$	$48$	$0$	$4.132332846$	$1$		$5$	$294912$	$1.744186$	$157267580823376/32806265625$	$0.90138$	$4.08715$	$[0, 0, 0, -64263, -5014438]$	\(y^2=x^3-64263x-5014438\)	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 60.24.0-20.a.1.1, 644.12.0.?, $\ldots$	$[(2827, 149688)]$
96600.bv2	96600y2	96600.bv	96600y	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{12} \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$3220$	$48$	$0$	$1$	$1$		$3$	$884736$	$1.999599$	$157267580823376/32806265625$	$0.90138$	$4.17228$	$[0, 1, 0, -178508, 23155488]$	\(y^2=x^3+x^2-178508x+23155488\)	2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 644.24.0.?, 3220.48.0.?	$[]$
115920.p2	115920s2	115920.p	115920s	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$9660$	$48$	$0$	$3.006787591$	$1$		$7$	$589824$	$1.744186$	$157267580823376/32806265625$	$0.90138$	$3.84419$	$[0, 0, 0, -64263, 5014438]$	\(y^2=x^3-64263x+5014438\)	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 60.24.0-20.a.1.2, 644.12.0.?, $\ldots$	$[(281, 3024)]$
135240.ci2	135240u2	135240.ci	135240u	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 7^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$3220$	$48$	$0$	$2.996864980$	$1$		$9$	$1769472$	$2.167835$	$157267580823376/32806265625$	$0.90138$	$4.22433$	$[0, 1, 0, -349876, -63818560]$	\(y^2=x^3+x^2-349876x-63818560\)	2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 92.12.0.?, 140.24.0.?, $\ldots$	$[(674, 2646)]$
154560.o2	154560dq2	154560.o	154560dq	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$6440$	$48$	$0$	$1$	$1$		$3$	$589824$	$1.541454$	$157267580823376/32806265625$	$0.90138$	$3.54803$	$[0, -1, 0, -28561, -1476239]$	\(y^2=x^3-x^2-28561x-1476239\)	2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 40.24.0-20.a.1.1, 644.12.0.?, $\ldots$	$[]$
154560.fv2	154560ff2	154560.fv	154560ff	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$6440$	$48$	$0$	$1$	$1$		$3$	$589824$	$1.541454$	$157267580823376/32806265625$	$0.90138$	$3.54803$	$[0, 1, 0, -28561, 1476239]$	\(y^2=x^3+x^2-28561x+1476239\)	2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 40.24.0-20.a.1.2, 644.12.0.?, $\ldots$	$[]$
193200.cq2	193200ha2	193200.cq	193200ha	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{12} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$3220$	$48$	$0$	$7.509883123$	$1$		$3$	$1769472$	$1.999599$	$157267580823376/32806265625$	$0.90138$	$3.93467$	$[0, -1, 0, -178508, -23155488]$	\(y^2=x^3-x^2-178508x-23155488\)	2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.1, 644.24.0.?, 3220.48.0.?	$[(-14472/7, 661200/7)]$
270480.bi2	270480bi2	270480.bi	270480bi	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 7^{8} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$3220$	$48$	$0$	$1$	$1$		$3$	$3538944$	$2.167835$	$157267580823376/32806265625$	$0.90138$	$3.99023$	$[0, -1, 0, -349876, 63818560]$	\(y^2=x^3-x^2-349876x+63818560\)	2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 92.12.0.?, 140.24.0.?, $\ldots$	$[]$
289800.bl2	289800bl2	289800.bl	289800bl	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{12} \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$9660$	$48$	$0$	$1$	$1$		$3$	$7077888$	$2.548904$	$157267580823376/32806265625$	$0.90138$	$4.33193$	$[0, 0, 0, -1606575, -626804750]$	\(y^2=x^3-1606575x-626804750\)	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 60.24.0-20.a.1.2, 644.12.0.?, $\ldots$	$[]$
405720.fu2	405720fu2	405720.fu	405720fu	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 7^{8} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$9660$	$48$	$0$	$1$	$1$		$3$	$14155776$	$2.717144$	$157267580823376/32806265625$	$0.90138$	$4.37539$	$[0, 0, 0, -3148887, 1719952234]$	\(y^2=x^3-3148887x+1719952234\)	2.6.0.a.1, 20.12.0.a.1, 84.12.0.?, 276.12.0.?, 420.24.0.?, $\ldots$	$[]$
444360.e2	444360e2	444360.e	444360e	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \cdot 23^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$3220$	$48$	$0$	$4.101626707$	$1$		$7$	$19464192$	$2.762627$	$157267580823376/32806265625$	$0.90138$	$4.38676$	$[0, -1, 0, -3777236, -2258395260]$	\(y^2=x^3-x^2-3777236x-2258395260\)	2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 92.12.0.?, 140.24.0.?, $\ldots$	$[(-932, 21250)]$
463680.jh2	463680jh2	463680.jh	463680jh	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{10} \cdot 5^{6} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$19320$	$48$	$0$	$1.391053360$	$1$		$11$	$4718592$	$2.090759$	$157267580823376/32806265625$	$0.90138$	$3.75449$	$[0, 0, 0, -257052, 40115504]$	\(y^2=x^3-257052x+40115504\)	2.6.0.a.1, 20.12.0.a.1, 24.12.0-2.a.1.1, 120.24.0.?, 644.12.0.?, $\ldots$	$[(58, 5040)]$
463680.mw2	463680mw2	463680.mw	463680mw	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{10} \cdot 5^{6} \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$19320$	$48$	$0$	$1$	$1$		$3$	$4718592$	$2.090759$	$157267580823376/32806265625$	$0.90138$	$3.75449$	$[0, 0, 0, -257052, -40115504]$	\(y^2=x^3-257052x-40115504\)	2.6.0.a.1, 20.12.0.a.1, 24.12.0-2.a.1.1, 120.24.0.?, 644.12.0.?, $\ldots$	$[]$